B:=[];
G:=[];
# Design 1: autom. group order 2, simple, derived
B[1]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,5,7,9,11,12],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,10,13],[4,5,6,7,8,9]];
G[1]:=Group([(2,6)(3,7)(4,12)(5,13)(8,10)(9,11)]);
# Design 2: autom. group order 2, simple, derived
B[2]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,4,5,9,11,12],[1,4,5,10,12,13],[1,4,7,8,10,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,7,11,12,13],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,6,7,8,11]];
G[2]:=Group([(1,9)(3,10)(5,11)]);
# Design 3: autom. group order 2, simple, derived
B[3]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,10,12],[1,5,9,10,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,10,11],[2,4,6,10,11,12],[2,4,6,10,12,13],[2,4,8,9,11,13],[2,5,6,8,9,10],[2,5,7,8,12,13],[2,5,7,9,12,13],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[3]:=Group([(1,12)(2,11)(4,8)(7,10)]);
# Design 4: autom. group order 2, simple, derived
B[4]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,8,12,13],[1,4,5,9,10,11],[1,4,7,8,10,12],[1,5,9,10,11,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,10,11,13],[2,4,6,9,10,12],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,5,7,9,12,13],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,11,13]];
G[4]:=Group([(1,12)(2,11)(4,8)(7,10)]);
# Design 5: autom. group order 2, simple, derived
B[5]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,5,7,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,8,11,12]];
G[5]:=Group([(1,10)(3,9)(5,11)(7,13)]);
# Design 6: autom. group order 2, simple, derived
B[6]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,8,12,13],[1,4,5,9,10,11],[1,4,8,10,11,12],[1,5,7,9,10,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,8,9,10,12],[2,4,6,9,10,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,10,11,13],[4,5,6,8,9,12]];
G[6]:=Group([(1,13)(2,11)(4,8)(7,10)]);
# Design 7: autom. group order 2, simple
B[7]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,4,6,7,9,11],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,8,9,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,9,12,13]];
G[7]:=Group([(2,4)(3,5)(6,7)(9,12)(10,11)]);
# Design 8: autom. group order 2, simple
B[8]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,4,6,7,9,11],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,13],[2,5,9,10,11,12],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,10],[3,5,7,8,11,12],[4,5,6,9,12,13]];
G[8]:=Group([(2,4)(3,5)(6,7)(9,12)(10,11)]);
# Design 9: autom. group order 2, simple
B[9]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,4,6,7,9,11],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,8,9,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,10,11,13]];
G[9]:=Group([(2,4)(3,5)(6,7)(9,12)(10,11)]);
# Design 10: autom. group order 2, simple
B[10]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,4,6,7,9,11],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,8,10,13],[2,5,9,10,11,12],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,10],[3,5,7,8,11,12],[4,5,6,10,11,13]];
G[10]:=Group([(2,4)(3,5)(6,7)(9,12)(10,11)]);
# Design 11: autom. group order 2, simple, derived
B[11]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,8,10,13],[2,4,6,7,9,12],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,5,8,9,10,12],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,6,8,10,13]];
G[11]:=Group([(1,12)(2,11)(4,10)]);
# Design 12: autom. group order 2, simple
B[12]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,9,12],[2,4,6,7,8,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,6,10,11,12],[2,5,7,10,11,12],[2,5,8,9,10,13],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,11,13],[4,5,6,8,9,12]];
G[12]:=Group([(2,4)(3,5)(6,7)(9,12)]);
# Design 13: autom. group order 2, simple
B[13]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,10,13],[2,4,6,7,8,13],[2,4,6,7,9,12],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,10,11,12],[2,5,8,9,11,13],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,8,10,13]];
G[13]:=Group([(2,4)(3,5)(6,7)(9,12)]);
# Design 14: autom. group order 2, simple
B[14]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,8,10,11],[2,4,6,7,8,13],[2,4,6,7,9,13],[2,4,10,11,12,13],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,5,8,9,11,13],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,12,13],[4,5,6,8,10,11]];
G[14]:=Group([(2,4)(3,5)(6,7)(10,11)]);
# Design 15: autom. group order 2, simple
B[15]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,10,11,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,9,10,12],[2,4,6,7,8,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,6,10,11,12],[2,5,7,8,11,12],[2,5,8,9,10,13],[3,4,6,9,10,11],[3,4,7,8,9,11],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,5,7,8,11,13],[4,5,6,8,9,12]];
G[15]:=Group([(2,4)(3,5)(6,7)(8,10)(9,12)]);
# Design 16: autom. group order 2, simple
B[16]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,8,9,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,7,9,10,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,7,9,10,11],[2,4,6,7,8,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,6,9,10,12],[2,5,7,8,9,12],[2,5,8,10,11,13],[3,4,6,10,11,12],[3,4,7,8,11,12],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[16]:=Group([(2,4)(3,5)(6,7)(8,10)(9,11)]);
# Design 17: autom. group order 2, simple, derived
B[17]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,5,8,10,11,12],[3,4,6,8,9,12],[3,4,7,8,11,13],[3,4,10,11,12,13],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,7,9,10,11],[4,5,6,8,9,12]];
G[17]:=Group([(2,4)(3,5)(6,7)(8,13)]);
# Design 18: autom. group order 2, simple, derived
B[18]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,5,10,11,12,13],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,7,9,10,11],[4,5,6,8,9,12]];
G[18]:=Group([(2,4)(3,5)(6,7)(8,13)]);
# Design 19: autom. group order 2, simple
B[19]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,9,11,12],[2,5,7,8,12,13],[2,5,8,10,11,13],[3,4,6,8,12,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,8,9,12]];
G[19]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 20: autom. group order 2, simple
B[20]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,10],[2,4,6,7,11,13],[2,4,9,10,11,12],[2,5,6,9,10,12],[2,5,7,8,12,13],[2,5,8,10,11,13],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,11],[3,5,7,9,10,13],[4,5,6,8,9,12]];
G[20]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 21: autom. group order 2, simple
B[21]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,10],[2,4,6,7,11,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,11],[3,5,7,9,10,13],[4,5,6,8,9,12]];
G[21]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 22: autom. group order 2, simple
B[22]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,11,12],[3,4,7,8,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,8,9,12]];
G[22]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 23: autom. group order 2, simple
B[23]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,9,11,12],[2,5,7,10,11,12],[2,5,8,10,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,8,9,12]];
G[23]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 24: autom. group order 2, simple
B[24]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,4,6,7,8,10],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,10,11,12],[2,5,8,10,11,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,9,10,13],[4,5,6,8,9,12]];
G[24]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 25: autom. group order 2, simple
B[25]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,4,6,7,8,10],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,9,10,13],[4,5,6,8,9,12]];
G[25]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 26: autom. group order 2, simple
B[26]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,8,9,12]];
G[26]:=Group([(2,4)(3,5)(6,7)(8,13)(10,11)]);
# Design 27: autom. group order 2, simple, derived
B[27]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,8,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,10,11,12],[2,5,7,9,12,13],[2,5,8,9,10,11],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,10],[3,5,6,8,11,13],[3,5,7,8,11,13],[4,5,6,8,9,12]];
G[27]:=Group([(2,4)(3,5)(6,7)(8,13)]);
# Design 28: autom. group order 2, simple, derived
B[28]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,8,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,5,9,10,11,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,10],[3,5,6,8,11,13],[3,5,7,8,11,13],[4,5,6,8,9,12]];
G[28]:=Group([(2,4)(3,5)(6,7)(8,13)]);
# Design 29: autom. group order 2, simple, derived
B[29]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,4,6,7,8,10],[2,4,6,9,10,13],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,5,8,10,12,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,5,7,9,10,13],[4,5,6,9,11,12]];
G[29]:=Group([(1,8)(3,10)(4,12)(6,11)(7,13)]);
# Design 30: autom. group order 2, simple
B[30]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,10,11],[2,4,6,7,8,10],[2,4,6,9,12,13],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,9,10,11]];
G[30]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 31: autom. group order 2, simple
B[31]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,8,10,11],[4,5,6,9,11,12]];
G[31]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 32: autom. group order 2, simple, derived
B[32]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,10,11],[2,4,6,7,12,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,9,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,7,9,11,13],[4,5,6,8,10,11]];
G[32]:=Group([(1,12)(3,13)(4,8)(6,10)(7,9)]);
# Design 33: autom. group order 2, simple, derived
B[33]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,12,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,4,7,9,11,13],[2,5,6,7,9,10],[2,5,8,9,10,12],[2,5,8,10,11,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,8,12,13]];
G[33]:=Group([(1,11)(3,13)(5,9)]);
# Design 34: autom. group order 2, simple, derived
B[34]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,8,11,12],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,13],[3,5,7,9,10,11],[4,5,6,8,11,12]];
G[34]:=Group([(1,13)(3,12)(4,9)(6,10)(7,8)]);
# Design 35: autom. group order 2, simple, derived
B[35]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,8,10,12],[2,4,6,7,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,5,9,10,11,13],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,9,12,13],[4,5,6,8,10,12]];
G[35]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 36: autom. group order 2, simple, derived
B[36]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,9,13],[2,4,6,7,12,13],[2,4,6,9,11,12],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,8,10,12,13],[2,5,9,10,11,13],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,13]];
G[36]:=Group([(1,12)(2,11)(4,8)]);
# Design 37: autom. group order 2, simple
B[37]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,5,9,10,12,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[4,5,6,8,12,13]];
G[37]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 38: autom. group order 2, simple
B[38]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,10,13],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,4,7,8,9,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,8,9,11],[3,4,7,11,12,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,6,8,10,13]];
G[38]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 39: autom. group order 2, simple
B[39]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,12,13],[2,4,6,7,9,12],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,5,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,8,11,13],[4,5,6,8,12,13]];
G[39]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 40: autom. group order 2, simple
B[40]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,10,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,11,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,6,8,10,13]];
G[40]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 41: autom. group order 2, simple
B[41]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,7,8,10,11],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,5,9,10,11,12],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,13],[4,5,6,8,10,11]];
G[41]:=Group([(1,10)(3,9)(5,13)(6,7)]);
# Design 42: autom. group order 2, simple
B[42]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,10,13],[2,4,6,7,8,11],[2,4,6,9,12,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,8,10,13]];
G[42]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 43: autom. group order 2, simple
B[43]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,4,6,7,8,9],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,5,9,10,11,12],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,8,10,11],[4,5,6,8,12,13]];
G[43]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 44: autom. group order 2, simple
B[44]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,7,9,10,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,9,11],[4,5,6,8,11,13]];
G[44]:=Group([(2,5)(3,4)(6,7)(8,10)(9,12)]);
# Design 45: autom. group order 2, simple
B[45]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,9,11,12],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,8,9,12]];
G[45]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 46: autom. group order 2, simple
B[46]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,9,10,12],[4,5,6,8,9,12]];
G[46]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 47: autom. group order 2, simple, derived
B[47]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,6,9,10,11],[3,5,7,9,12,13],[4,5,6,8,9,12]];
G[47]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 48: autom. group order 2, simple
B[48]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,7,9,11,12],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,8,9,12]];
G[48]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 49: autom. group order 2, simple
B[49]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,8,9,11],[3,4,7,11,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,6,8,9,12]];
G[49]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 50: autom. group order 2, simple, derived
B[50]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,11,13],[2,4,6,8,9,12],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,8,11],[3,5,6,8,10,13],[3,5,7,9,12,13],[4,5,6,8,9,12]];
G[50]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 51: autom. group order 2, simple
B[51]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,8,9,12]];
G[51]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 52: autom. group order 2, simple
B[52]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,10,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,10,13],[4,5,6,8,9,12]];
G[52]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 53: autom. group order 2, simple
B[53]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,7,8,11,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,6,8,9,12]];
G[53]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 54: autom. group order 2, simple
B[54]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,8,9,11],[3,4,7,11,12,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,10,13],[3,5,7,8,9,13],[4,5,6,8,9,12]];
G[54]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 55: autom. group order 2, simple, derived
B[55]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,10],[2,4,6,9,10,11],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,8,9,12]];
G[55]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 56: autom. group order 2, simple, derived
B[56]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,8,9,12]];
G[56]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 57: autom. group order 2, simple, derived
B[57]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,10,11],[2,4,6,7,11,13],[2,4,6,9,12,13],[2,4,9,10,11,12],[2,5,6,7,9,10],[2,5,7,8,12,13],[2,5,8,10,12,13],[3,4,6,7,8,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,9,11,13],[4,5,6,8,10,11]];
G[57]:=Group([(1,12)(3,13)(4,8)(6,10)]);
# Design 58: autom. group order 2, simple, derived
B[58]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,10,11],[2,4,6,7,11,13],[2,4,6,9,12,13],[2,4,9,10,11,12],[2,5,6,7,9,10],[2,5,7,8,12,13],[2,5,8,10,12,13],[3,4,6,7,8,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,9,11,13],[4,5,6,8,10,11]];
G[58]:=Group([(1,12)(3,13)(4,8)(6,10)]);
# Design 59: autom. group order 2, simple, derived
B[59]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,8,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,7,9,10,13],[2,5,8,9,11,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,8,10,11,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,9,11,12],[4,5,6,8,12,13]];
G[59]:=Group([(1,10)(3,9)(5,12)(7,11)]);
# Design 60: autom. group order 2, simple, derived
B[60]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,7,9,10,13],[2,5,8,9,11,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,12,13]];
G[60]:=Group([(1,10)(3,9)(5,12)(7,11)]);
# Design 61: autom. group order 2, simple, derived
B[61]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,6,7,10,12],[2,4,6,9,11,12],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,5,8,10,12,13],[3,4,6,7,8,10],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,8,9,13]];
G[61]:=Group([(1,12)(2,11)(4,8)]);
# Design 62: autom. group order 2, simple, derived
B[62]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,7,8,11,13],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,4,8,9,10,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,5,8,10,11,12],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,9,13],[4,5,6,8,11,13]];
G[62]:=Group([(1,12)(2,11)(5,9)(6,10)]);
# Design 63: autom. group order 2, simple, derived
B[63]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,8,9,12],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,4,8,11,12,13],[2,5,6,7,10,11],[2,5,7,10,12,13],[2,5,8,9,10,13],[3,4,6,7,8,13],[3,4,7,9,10,11],[3,4,9,10,11,13],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,9,12]];
G[63]:=Group([(1,10)(2,9)(5,11)(6,13)]);
# Design 64: autom. group order 2, simple
B[64]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,9,10,12],[2,4,6,7,8,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,7,8,11,12],[2,5,7,10,11,12],[2,5,8,9,10,13],[3,4,7,8,9,11],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,6,10,11,13],[4,5,6,8,9,12]];
G[64]:=Group([(2,4)(3,5)(8,10)(9,12)]);
# Design 65: autom. group order 2, simple
B[65]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,7,8,9,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,9,10,11],[2,4,6,7,8,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,7,8,9,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,7,8,11,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,5,6,10,12,13],[4,5,6,8,9,11]];
G[65]:=Group([(2,4)(3,5)(8,10)(9,11)]);
# Design 66: autom. group order 2, simple, derived
B[66]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,4,8,10,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,5,7,9,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,8,12,13],[3,5,9,10,11,12],[4,5,6,7,8,10]];
G[66]:=Group([(2,4)(3,5)(8,13)(11,12)]);
# Design 67: autom. group order 2, simple, derived
B[67]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,4,8,10,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,5,7,9,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,8,12,13],[3,5,9,10,11,12],[4,5,6,7,8,10]];
G[67]:=Group([(2,4)(3,5)(8,13)(11,12)]);
# Design 68: autom. group order 2, simple, derived
B[68]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,4,6,9,10,11],[2,4,7,8,9,12],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,8,10]];
G[68]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 69: autom. group order 2, simple, derived
B[69]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,4,6,9,11,12],[2,4,7,8,10,11],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,10,11],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,8,12]];
G[69]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 70: autom. group order 2, simple, derived
B[70]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,11,13],[2,4,6,8,10,13],[2,4,7,8,9,12],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,8,9,12],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,7,8,11]];
G[70]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 71: autom. group order 2, simple, derived
B[71]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,9,13],[2,4,6,8,12,13],[2,4,7,8,10,11],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,5,9,10,11,12],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,8,10,11],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,7,8,9]];
G[71]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 72: autom. group order 2, simple, derived
B[72]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,4,6,9,10,11],[2,4,7,8,9,12],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,8,10]];
G[72]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 73: autom. group order 2, simple, derived
B[73]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,11,13],[2,4,6,8,10,13],[2,4,7,8,9,12],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,8,9,12],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,7,8,11]];
G[73]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 74: autom. group order 2, simple
B[74]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,4,6,7,12,13],[2,4,7,8,9,11],[2,4,7,10,11,12],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,12],[3,5,7,9,11,13],[4,5,6,8,10,11]];
G[74]:=Group([(1,12)(3,13)(4,8)(6,10)(7,9)]);
# Design 75: autom. group order 2, simple, derived
B[75]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,4,6,7,12,13],[2,4,7,8,9,11],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,13],[3,5,7,9,10,11],[4,5,6,8,11,12]];
G[75]:=Group([(1,13)(3,12)(4,9)(6,10)(7,8)]);
# Design 76: autom. group order 2, simple, derived
B[76]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,7,8,9,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,9,10,12],[2,4,6,7,11,13],[2,4,7,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,5,9,10,11,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,5,7,10,12,13],[4,5,6,8,9,12]];
G[76]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 77: autom. group order 2, simple
B[77]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,4,6,7,8,10],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,7,9,10,12],[4,5,6,8,9,12]];
G[77]:=Group([(1,8)(3,10)(4,13)(6,11)(7,12)]);
# Design 78: autom. group order 2, simple, derived
B[78]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,4,6,7,8,13],[2,4,7,9,11,12],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,5,8,9,10,11],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,7,10,11],[3,5,8,11,12,13],[4,5,6,8,9,12]];
G[78]:=Group([(2,4)(3,5)(8,13)(9,10)]);
# Design 79: autom. group order 2, simple, derived
B[79]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,4,6,7,8,13],[2,4,7,9,11,12],[2,4,7,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,5,9,10,11,13],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,6,7,10,11],[3,5,8,11,12,13],[4,5,6,8,9,12]];
G[79]:=Group([(2,4)(3,5)(8,13)(9,10)]);
# Design 80: autom. group order 2, simple
B[80]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,5,7,9,10,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,10,11,13],[2,4,6,7,8,10],[2,4,8,9,12,13],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,5,7,10,11,12],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,8,11,13]];
G[80]:=Group([(2,4)(3,5)(8,10)(9,12)]);
# Design 81: autom. group order 2, simple, derived
B[81]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,11,13],[1,5,7,9,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,4,6,7,8,10],[2,4,8,9,12,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,5,7,10,11,13],[3,4,6,7,9,13],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,5,6,8,9,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,8,11,12]];
G[81]:=Group([(1,13)(3,12)(5,9)(6,10)(7,8)]);
# Design 82: autom. group order 2, simple
B[82]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,4,7,9,12,13],[2,4,7,10,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,6,7,10,11],[2,5,8,10,12,13],[3,4,6,7,9,10],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[3,5,9,10,11,13],[4,5,6,8,9,12]];
G[82]:=Group([(1,11)(2,8)(3,4)(5,13)]);
# Design 83: autom. group order 2, simple, derived
B[83]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,4,7,8,9,11],[2,4,7,10,11,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,4,7,8,9,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,5,9,10,11,12],[4,5,6,8,11,13]];
G[83]:=Group([(1,12)(2,11)(4,9)(6,10)(7,8)]);
# Design 84: autom. group order 2, simple
B[84]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,4,7,8,10,13],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,5,7,9,12,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[84]:=Group([(1,10)(2,8)(4,12)(6,13)(7,11)]);
# Design 85: autom. group order 2, simple, derived
B[85]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,8,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,4,7,8,9,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,7,8,11],[2,5,6,10,12,13],[2,5,7,9,11,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,8,9,11,13],[3,5,8,10,11,13],[4,5,6,8,9,12]];
G[85]:=Group([(2,4)(3,5)(8,13)(9,10)]);
# Design 86: autom. group order 2, simple, derived
B[86]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,6,7,10,11],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,5,7,9,12,13],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,6,9,10,12],[4,5,8,10,11,12]];
G[86]:=Group([(2,4)(3,5)(8,13)(11,12)]);
# Design 87: autom. group order 2, simple, derived
B[87]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,11,13],[1,5,7,9,12,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,6,7,10,12],[2,4,8,11,12,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,5,7,10,11,13],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,6,10,11,12],[4,5,8,9,10,12]];
G[87]:=Group([(2,4)(3,5)(8,13)(9,10)]);
# Design 88: autom. group order 2, simple, derived
B[88]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,5,7,8,10,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,6,7,10,11],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,5,7,9,12,13],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,6,9,10,12],[4,5,8,10,11,12]];
G[88]:=Group([(2,4)(3,5)(8,13)(11,12)]);
# Design 89: autom. group order 2, simple, derived
B[89]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,6,7,9,12],[2,5,8,10,12,13],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,8,10,11],[3,5,6,10,11,13],[3,5,7,9,10,12],[4,5,8,9,11,12]];
G[89]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 90: autom. group order 2, simple, derived
B[90]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,6,7,10,12],[2,5,8,11,12,13],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,5,6,8,10,11],[3,5,6,10,11,13],[3,5,7,8,9,13],[4,5,8,9,10,12]];
G[90]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 91: autom. group order 2, simple, derived
B[91]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,7,10,12],[2,5,8,9,10,13],[3,4,6,7,8,13],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,8,10,11,12]];
G[91]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 92: autom. group order 2, simple, derived
B[92]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,6,7,9,12],[2,5,8,10,12,13],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,8,10,11],[3,5,6,10,11,13],[3,5,7,9,10,12],[4,5,8,9,11,12]];
G[92]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 93: autom. group order 2, simple, derived
B[93]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,6,7,10,12],[2,5,8,11,12,13],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,5,6,8,10,11],[3,5,6,10,11,13],[3,5,7,8,9,13],[4,5,8,9,10,12]];
G[93]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 94: autom. group order 2, simple
B[94]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,8,9,10,12],[1,5,7,10,11,13],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,6,9,11,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,6,8,10,11],[3,4,7,8,12,13],[3,4,7,10,11,12],[3,5,6,9,10,13],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13]];
G[94]:=Group([(1,5)(2,13)(3,10)(4,11)(6,8)]);
# Design 95: autom. group order 2, simple, derived
B[95]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,6,11,12,13],[1,4,5,10,11,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,7,9,10,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,7,10,11,13],[2,4,5,8,9,13],[2,4,6,9,11,12],[2,4,9,10,11,12],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,6,8,9,10],[3,4,7,8,12,13],[3,4,7,9,12,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,9,10,11],[4,5,6,7,8,11]];
G[95]:=Group([(1,12)(3,11)(5,9)(7,10)]);
# Design 96: autom. group order 2, simple, derived
B[96]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,9,11,12],[1,4,7,9,11,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,8,11,12],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,9,10,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[96]:=Group([(1,8)(2,9)(4,11)(6,7)]);
# Design 97: autom. group order 2, simple
B[97]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,12],[1,4,6,9,11,13],[1,4,7,9,11,13],[1,5,7,10,12,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,10,11,12],[2,5,6,9,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,9,10]];
G[97]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 98: autom. group order 2, simple, derived
B[98]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,12],[1,4,6,9,11,13],[1,4,7,10,11,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,13],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,8,9,11,12],[2,6,7,8,9,12],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,7,9,10]];
G[98]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 99: autom. group order 2, simple, derived
B[99]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,7,9,11,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,4,7,9,11,12],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,7,9,10]];
G[99]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 100: autom. group order 2, simple, derived
B[100]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,7,9,11,12],[1,5,7,10,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,4,7,9,11,12],[2,5,6,9,12,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,7,9,10]];
G[100]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 101: autom. group order 2, simple
B[101]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,9,10]];
G[101]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 102: autom. group order 2, simple
B[102]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,9,10]];
G[102]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 103: autom. group order 2, simple
B[103]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,9,10]];
G[103]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 104: autom. group order 2, simple
B[104]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,6,8,12,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,9,10]];
G[104]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 105: autom. group order 2, simple
B[105]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,11],[1,4,6,9,11,12],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,8,12,13],[2,4,7,8,11,12],[2,5,6,9,11,13],[2,5,9,10,11,12],[2,6,7,8,10,11],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,7,10,12]];
G[105]:=Group([(1,8)(2,9)(4,12)(11,13)]);
# Design 106: autom. group order 2, simple
B[106]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,9,11,12],[1,4,7,9,11,13],[1,5,7,8,12,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,8,11,12],[2,5,6,9,12,13],[2,5,9,10,11,13],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[106]:=Group([(1,8)(2,9)(4,11)(12,13)]);
# Design 107: autom. group order 2, simple, derived
B[107]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,4,7,8,11,12],[1,5,7,9,12,13],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[107]:=Group([(1,2)(6,7)(8,9)(12,13)]);
# Design 108: autom. group order 2, simple, derived
B[108]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,4,7,8,11,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,8,10,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[108]:=Group([(1,2)(6,7)(8,9)(12,13)]);
# Design 109: autom. group order 2, simple, derived
B[109]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,9,11,12],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,9,12,13],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,8,10,11],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,7,10,12]];
G[109]:=Group([(1,9)(2,8)(4,12)]);
# Design 110: autom. group order 2, simple, derived
B[110]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,8,12,13],[2,5,9,10,11,13],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[110]:=Group([(1,9)(2,8)(4,11)]);
# Design 111: autom. group order 2, simple, derived
B[111]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,5,9,10,12,13],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,8,12,13],[2,4,7,9,11,12],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,8,10,11],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,7,10,12]];
G[111]:=Group([(1,2)(6,7)(8,9)(11,13)]);
# Design 112: autom. group order 2, simple
B[112]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,8,12,13],[1,5,7,9,11,13],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,7,10,12]];
G[112]:=Group([(1,2)(6,7)(8,9)(11,13)]);
# Design 113: autom. group order 2, simple
B[113]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,8,12,13],[1,5,7,9,11,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,7,10,12]];
G[113]:=Group([(1,2)(6,7)(8,9)(11,13)]);
# Design 114: autom. group order 2, simple
B[114]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,7,8,9,13],[1,5,7,10,11,12],[1,5,8,10,11,12],[1,6,7,9,11,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,7,9,10,13],[2,6,7,10,12,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,12,13],[3,5,6,9,11,13],[3,5,7,8,9,11],[4,5,6,7,8,12]];
G[114]:=Group([(1,12)(2,4)(3,9)(5,11)(7,8)]);
# Design 115: autom. group order 2, simple, derived
B[115]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,8,9,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,4,7,9,11,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,7,9,10,13],[2,4,5,9,10,11],[2,4,6,8,11,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,7,8,10,11],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,9,11,13],[4,5,6,7,8,9]];
G[115]:=Group([(1,8)(2,10)(5,11)(6,12)]);
# Design 116: autom. group order 2, simple, derived
B[116]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,8,12,13],[1,4,5,9,10,12],[1,4,6,9,10,13],[1,4,7,11,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,11],[2,3,7,9,10,13],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,4,8,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,10,11,12],[3,5,7,10,11,13],[4,5,6,7,8,13]];
G[116]:=Group([(1,8)(2,9)(5,11)(6,12)]);
# Design 117: autom. group order 2, simple, derived
B[117]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,11,12],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,9,10,11,13],[2,4,5,9,11,12],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,6,8,12,13],[3,4,7,8,9,10],[3,4,7,8,11,12],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,9,10,11]];
G[117]:=Group([(1,8)(3,10)(4,12)(6,7)]);
# Design 118: autom. group order 2, simple
B[118]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,11,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,7,8,11,12],[2,5,6,9,11,12],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[118]:=Group([(1,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 119: autom. group order 2, simple
B[119]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,9,10,11,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,9,11,12],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,9,11,12],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[119]:=Group([(1,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 120: autom. group order 2, simple
B[120]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,8,11,12],[2,5,6,9,11,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[120]:=Group([(1,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 121: autom. group order 2, simple
B[121]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,11,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,4,7,8,10,13],[2,5,6,9,10,13],[2,5,7,9,11,12],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[121]:=Group([(1,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 122: autom. group order 2, simple
B[122]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,9,10,11,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,11,12],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[122]:=Group([(1,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 123: autom. group order 2, simple
B[123]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,7,12,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,6,8,11,12],[2,4,7,8,10,12],[2,5,6,9,10,13],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[123]:=Group([(1,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 124: autom. group order 2, simple, derived
B[124]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,4,7,10,12,13],[1,5,7,9,11,12],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,11,12,13],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,6,7,9,12],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,6,8,9,10]];
G[124]:=Group([(2,12)(3,11)(4,9)(6,10)]);
# Design 125: autom. group order 2, simple
B[125]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,7,8,9,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,10,12,13],[3,4,6,7,10,11],[3,4,7,8,12,13],[3,4,8,9,11,12],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,10,11,13],[4,5,6,7,8,9]];
G[125]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 126: autom. group order 2, simple, derived
B[126]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,4,5,9,10,11],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,10,11,13],[4,5,6,7,8,12]];
G[126]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 127: autom. group order 2, simple, derived
B[127]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,7,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,8,9,11],[2,5,6,10,11,13],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,6,8,11,12],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[127]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 128: autom. group order 2, simple
B[128]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,4,5,9,10,11],[2,4,6,8,9,12],[2,4,7,8,11,12],[2,5,6,10,11,13],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,6,11,12,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,7,10,12]];
G[128]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 129: autom. group order 2, simple
B[129]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,8,9,11,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,7,10,12,13],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,4,7,8,12,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,10,11,13],[4,5,6,8,9,11]];
G[129]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 130: autom. group order 2, simple, derived
B[130]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,8,9,11],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,6,7,9,13],[3,4,7,8,12,13],[3,4,7,10,11,12],[3,5,6,8,11,12],[3,5,6,8,11,13],[3,5,7,8,9,10],[4,5,6,9,10,11]];
G[130]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 131: autom. group order 2, simple
B[131]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,11],[2,4,6,8,9,12],[2,4,7,8,11,12],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,6,7,12,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,10,11,12]];
G[131]:=Group([(2,8)(3,10)(5,13)(7,11)]);
# Design 132: autom. group order 2, simple, derived
B[132]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,10,11,12],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,9,10,11,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,6,7,10,13],[3,4,7,8,11,13],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,6,8,12,13],[3,5,7,8,9,10],[4,5,6,9,10,11]];
G[132]:=Group([(1,8)(3,10)(5,12)(6,7)]);
# Design 133: autom. group order 2, simple, derived
B[133]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,11],[1,4,8,10,11,12],[1,5,7,8,9,11],[1,5,7,9,10,13],[1,6,7,10,12,13],[2,3,8,9,10,12],[2,4,5,9,10,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,9,11,12],[2,5,7,10,11,12],[2,6,7,8,9,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,10,11,13],[4,5,6,8,9,12]];
G[133]:=Group([(1,13)(2,11)(4,8)(7,10)]);
# Design 134: autom. group order 2, simple, derived
B[134]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,7,10,11],[1,4,8,9,12,13],[1,5,7,8,11,13],[1,5,9,10,11,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,6,11,12,13],[2,4,7,8,9,11],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,9,11,12],[4,5,6,7,8,9]];
G[134]:=Group([(1,12)(2,11)(4,9)]);
# Design 135: autom. group order 2, simple
B[135]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,8,12],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,7,10,11,12],[1,5,8,9,10,12],[1,6,7,8,11,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,4,7,8,10,12],[2,5,6,10,11,12],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,6,8,10,13],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,6,9,12,13],[3,5,8,10,11,13],[4,5,6,7,8,11]];
G[135]:=Group([(1,11)(2,9)(3,4)(5,12)(6,8)]);
# Design 136: autom. group order 2, simple
B[136]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,8,12],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,7,10,11,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,11,12,13],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,6,8,10,13],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,7,8,11]];
G[136]:=Group([(1,11)(2,9)(3,4)(5,12)(6,8)]);
# Design 137: autom. group order 2, simple, derived
B[137]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,10,11,13],[1,5,7,9,10,12],[1,5,9,10,11,12],[1,6,7,8,11,13],[2,3,7,9,10,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,8,9,11,13],[4,5,6,7,8,9]];
G[137]:=Group([(2,9)(3,10)(4,12)(6,11)]);
# Design 138: autom. group order 2, simple, derived
B[138]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,10,11,13],[1,5,7,9,10,12],[1,5,9,10,11,12],[1,6,7,8,11,13],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,7,9,11,12],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,8,11,12]];
G[138]:=Group([(2,9)(3,10)(4,12)(6,11)]);
# Design 139: autom. group order 2, simple
B[139]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,9,10,12,13],[1,6,7,9,11,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,8,10,13],[3,5,7,9,10,11],[4,5,6,10,11,12]];
G[139]:=Group([(1,9)(2,8)(5,12)(6,11)]);
# Design 140: autom. group order 2, simple, derived
B[140]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,8,9,10,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,13]];
G[140]:=Group([(1,12)(2,11)(5,9)(6,8)]);
# Design 141: autom. group order 2, simple, derived
B[141]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,8,9,10,13],[2,4,5,9,10,11],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,13]];
G[141]:=Group([(1,12)(2,11)(5,9)(6,8)]);
# Design 142: autom. group order 2, simple, derived
B[142]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,9,10,13],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,9,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[142]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 143: autom. group order 2, simple, derived
B[143]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[143]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 144: autom. group order 2, simple, derived
B[144]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,7,10,11],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,9,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,11,13],[4,5,6,8,9,10]];
G[144]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 145: autom. group order 2, simple, derived
B[145]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[145]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 146: autom. group order 2, simple, derived
B[146]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[146]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 147: autom. group order 2, simple, derived
B[147]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[147]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 148: autom. group order 2, simple, derived
B[148]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,7,9,10,12],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,9,12,13],[4,5,6,10,11,12]];
G[148]:=Group([(1,8)(2,9)(4,12)(7,13)]);
# Design 149: autom. group order 2, simple
B[149]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,7,8,10,13],[1,5,9,10,11,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,9,12,13],[4,5,6,10,11,12]];
G[149]:=Group([(1,8)(2,9)(4,12)(7,13)]);
# Design 150: autom. group order 2, simple, derived
B[150]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,8,9,11],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,7,8,12,13],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,9,10,11,12],[4,5,6,8,9,13]];
G[150]:=Group([(1,11)(2,12)(4,9)(7,10)]);
# Design 151: autom. group order 2, simple
B[151]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,10,11,13],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,8,9,11],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,7,8,12,13],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,9,10,11,12],[4,5,6,8,9,13]];
G[151]:=Group([(1,11)(2,12)(4,9)(7,10)]);
# Design 152: autom. group order 2, simple, derived
B[152]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,9,10,13],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[152]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 153: autom. group order 2, simple, derived
B[153]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,10]];
G[153]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 154: autom. group order 2, simple, derived
B[154]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,7,10,11],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[154]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 155: autom. group order 2, simple, derived
B[155]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[155]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 156: autom. group order 2, simple, derived
B[156]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[156]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 157: autom. group order 2, simple, derived
B[157]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[157]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 158: autom. group order 2, simple
B[158]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,7,8,10,13],[2,4,5,10,11,12],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,6,10,11,13],[3,5,8,9,10,12],[4,5,6,7,8,10]];
G[158]:=Group([(2,9)(3,10)(5,13)(7,12)]);
# Design 159: autom. group order 2, simple, derived
B[159]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[2,3,7,8,10,13],[2,4,5,9,11,13],[2,4,6,7,9,12],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,4,7,10,11,12],[3,5,6,9,11,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,6,7,8,13]];
G[159]:=Group([(2,12)(3,13)(5,10)(7,9)]);
# Design 160: autom. group order 2, simple, derived
B[160]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,10],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,10,11,12],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,7,8,11,13],[2,4,5,9,10,11],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,6,8,10,12],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,6,9,12,13],[3,5,8,10,11,13],[4,5,6,7,8,11]];
G[160]:=Group([(1,10)(2,8)(5,12)(11,13)]);
# Design 161: autom. group order 2, simple, derived
B[161]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,7,8,9,13],[2,4,5,10,11,12],[2,4,6,8,12,13],[2,4,7,9,11,12],[2,5,6,7,10,13],[2,5,8,9,10,12],[2,6,7,10,11,13],[3,4,6,8,10,11],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,6,9,12,13],[3,5,8,10,11,13],[4,5,6,7,8,9]];
G[161]:=Group([(2,9)(3,10)(5,13)(7,12)]);
# Design 162: autom. group order 2, simple
B[162]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[2,3,7,8,10,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,9,11,12],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,9,10,12],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,6,7,8,12]];
G[162]:=Group([(2,12)(3,13)(5,10)(7,9)]);
# Design 163: autom. group order 2, simple
B[163]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,12],[2,4,7,8,10,11],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,6,7,8,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,9,11,12],[3,5,6,10,11,13],[3,5,7,8,9,10],[4,5,6,8,10,12]];
G[163]:=Group([(2,9)(3,10)(5,13)(7,12)]);
# Design 164: autom. group order 2, simple, derived
B[164]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[2,3,8,9,10,13],[2,4,5,9,11,13],[2,4,6,7,9,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,6,7,8,10],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,9,11,12],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,13]];
G[164]:=Group([(2,12)(3,13)(5,10)(7,9)]);
# Design 165: autom. group order 2, simple, derived
B[165]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[165]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 166: autom. group order 2, simple, derived
B[166]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,12],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,9,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[166]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 167: autom. group order 2, simple, derived
B[167]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,8,9,10]];
G[167]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 168: autom. group order 2, simple, derived
B[168]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,6,7,8,13],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,7,8,9,10],[2,6,7,10,11,13],[3,4,6,8,10,11],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,13],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,12]];
G[168]:=Group([(2,9)(3,10)(5,13)(7,12)]);
# Design 169: autom. group order 2, simple
B[169]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[2,3,8,9,10,12],[2,4,5,9,11,13],[2,4,6,7,8,10],[2,4,7,9,11,12],[2,5,6,9,10,13],[2,5,7,8,12,13],[2,6,7,10,11,13],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,10,12],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,12]];
G[169]:=Group([(2,12)(3,13)(5,10)(7,9)]);
# Design 170: autom. group order 2, simple, derived
B[170]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,10,13],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,7,9,11,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,7,9,12],[2,4,7,8,12,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,8,10,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,7,8,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,9,12,13],[4,5,6,10,11,12]];
G[170]:=Group([(1,9)(2,8)(4,12)(7,13)]);
# Design 171: autom. group order 2, simple, derived
B[171]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,11,13],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,7,8,10,12],[1,5,7,9,10,13],[1,6,7,9,11,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,7,9,12],[2,4,7,8,12,13],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,7,8,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,9,12,13],[4,5,6,10,11,12]];
G[171]:=Group([(1,9)(2,8)(4,12)(7,13)]);
# Design 172: autom. group order 2, simple, derived
B[172]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,10]];
G[172]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 173: autom. group order 2, simple, derived
B[173]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,12],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[173]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 174: autom. group order 2, simple, derived
B[174]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,10]];
G[174]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 175: autom. group order 2, simple, derived
B[175]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,7,9,10,11],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,8,12,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,9,10,11]];
G[175]:=Group([(1,8)(2,9)(4,12)]);
# Design 176: autom. group order 2, simple, derived
B[176]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,6,7,8,12,13],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,10,11,12]];
G[176]:=Group([(1,8)(2,9)(4,12)]);
# Design 177: autom. group order 2, simple, derived
B[177]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,9,12,13],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,4,7,8,9,12],[1,5,7,8,9,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[177]:=Group([(1,10)(3,9)(4,12)(6,7)]);
# Design 178: autom. group order 2, simple, derived
B[178]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,4,7,9,11,12],[1,5,7,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[178]:=Group([(1,10)(3,9)(4,12)(6,7)]);
# Design 179: autom. group order 2, simple
B[179]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,6,7,8,10],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,4,5,10,11,12],[2,4,6,7,9,12],[2,4,10,11,12,13],[2,5,6,8,10,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,9,10,11],[4,5,6,8,9,12]];
G[179]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 180: autom. group order 2, simple, derived
B[180]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,6,9,11,12],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,7,9,10,13],[4,5,6,8,9,10]];
G[180]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 181: autom. group order 2, simple
B[181]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,12,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,7,9,10,12],[4,5,6,8,9,10]];
G[181]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 182: autom. group order 2, simple
B[182]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,9,10,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,7,9,10,12],[4,5,6,8,9,10]];
G[182]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 183: autom. group order 2, simple, derived
B[183]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,6,9,11,12],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,11,12],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[183]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 184: autom. group order 2, simple
B[184]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,12,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,11,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[184]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 185: autom. group order 2, simple
B[185]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,9,10,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,11,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[185]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 186: autom. group order 2, simple, derived
B[186]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,7,12,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,12,13],[1,6,7,8,10,11],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,7,10,12],[2,5,8,10,12,13],[2,6,7,9,11,13],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,7,9,11,12],[4,5,6,8,9,13]];
G[186]:=Group([(1,11)(2,12)(4,9)]);
# Design 187: autom. group order 2, simple
B[187]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,7,9,10],[1,4,7,8,9,12],[1,5,7,10,11,13],[1,5,9,10,11,12],[1,6,7,8,12,13],[2,3,7,8,10,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,4,7,9,11,13],[2,5,6,7,9,12],[2,5,9,10,12,13],[2,6,7,8,10,11],[3,4,6,10,11,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,8,10,13]];
G[187]:=Group([(1,8)(2,9)(4,11)(6,7)]);
# Design 188: autom. group order 2, simple, derived
B[188]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,6,7,11,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,8,9,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,12,13],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,13]];
G[188]:=Group([(1,12)(2,11)(4,8)]);
# Design 189: autom. group order 2, simple, derived
B[189]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,6,7,9,11],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,10,11,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,9,10],[3,4,7,8,12,13],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,11,12,13],[3,5,7,9,10,11],[4,5,6,8,9,12]];
G[189]:=Group([(1,11)(3,12)(5,10)]);
# Design 190: autom. group order 2, simple, derived
B[190]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,6,7,9,11],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,10,11,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,9,10],[3,4,7,8,11,13],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,11,12,13],[3,5,7,9,10,12],[4,5,6,8,9,12]];
G[190]:=Group([(1,11)(3,12)(5,10)]);
# Design 191: autom. group order 2, simple, derived
B[191]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,7,9,10,13],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,9,10,11,12],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,8,9,10]];
G[191]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 192: autom. group order 2, simple
B[192]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[192]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 193: autom. group order 2, simple
B[193]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,13],[1,5,7,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,8,9,10]];
G[193]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 194: autom. group order 2, simple, derived
B[194]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,7,9,10,13],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,9,10,11,12],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[194]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 195: autom. group order 2, simple
B[195]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[195]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 196: autom. group order 2, simple
B[196]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,13],[1,5,7,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,7,8,11,13],[4,5,6,8,9,10]];
G[196]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 197: autom. group order 2, simple
B[197]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,6,7,9,11],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,10,11,12,13],[1,6,7,8,9,12],[2,3,7,9,12,13],[2,4,5,9,12,13],[2,4,6,10,11,12],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,6,8,11,13],[3,4,7,8,11,13],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,9,10,11],[4,5,6,8,9,12]];
G[197]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 198: autom. group order 2, simple, derived
B[198]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,12],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,7,9,10,13],[2,4,5,8,11,13],[2,4,6,8,10,13],[2,4,7,10,11,12],[2,5,6,9,11,12],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,8,10,11],[4,5,6,9,10,13]];
G[198]:=Group([(1,8)(2,9)(5,12)(6,11)(7,13)]);
# Design 199: autom. group order 2, simple, derived
B[199]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,12],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,7,10,11,12],[2,4,5,8,11,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,9,11,12],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,6,10,11,12]];
G[199]:=Group([(1,8)(2,9)(5,12)(6,11)(7,13)]);
# Design 200: autom. group order 2, simple, derived
B[200]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,12],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,7,9,10,13],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,8,10,11],[4,5,6,9,10,13]];
G[200]:=Group([(1,8)(2,9)(5,12)(6,11)(7,13)]);
# Design 201: autom. group order 2, simple, derived
B[201]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,12],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,7,10,11,12],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,6,10,11,12]];
G[201]:=Group([(1,8)(2,9)(5,12)(6,11)(7,13)]);
# Design 202: autom. group order 2, simple
B[202]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,7,8,9,12],[1,5,7,10,11,13],[1,5,9,10,11,12],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,4,7,9,10,11],[2,5,6,9,12,13],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,7,11,12],[3,4,8,9,12,13],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,8,9,11],[4,5,6,8,10,13]];
G[202]:=Group([(1,8)(2,9)(4,11)(6,7)]);
# Design 203: autom. group order 2, simple, derived
B[203]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,10,11],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,5,8,9,11,13],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13]];
G[203]:=Group([(1,12)(2,11)(4,8)]);
# Design 204: autom. group order 2, simple, derived
B[204]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,10,11],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,5,8,9,11,13],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13]];
G[204]:=Group([(1,12)(2,11)(4,8)]);
# Design 205: autom. group order 2, simple, derived
B[205]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,7,8,11],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,8,9,12],[4,5,6,9,11,12]];
G[205]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 206: autom. group order 2, simple, derived
B[206]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,7,8,11],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,8,9,12],[4,5,6,9,11,12]];
G[206]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 207: autom. group order 2, simple, derived
B[207]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,7,8,11],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,4,7,9,11,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,8,10,12]];
G[207]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 208: autom. group order 2, simple, derived
B[208]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,7,8,11],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,4,5,9,10,13],[2,4,6,9,12,13],[2,4,7,9,11,12],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,8,10,12]];
G[208]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 209: autom. group order 2, simple
B[209]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,9,13],[1,4,7,9,10,12],[1,5,7,10,11,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,4,7,8,12,13],[2,5,6,9,10,13],[2,5,7,8,9,13],[2,6,7,9,11,12],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,9,12],[4,5,6,8,11,12]];
G[209]:=Group([(1,11)(2,13)(5,9)(6,10)(7,8)]);
# Design 210: autom. group order 2, simple, derived
B[210]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,8,9,13],[1,4,5,9,10,11],[1,4,6,7,10,13],[1,4,7,8,9,12],[1,5,7,8,11,13],[1,5,9,10,11,12],[1,6,7,10,12,13],[2,3,7,9,10,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,7,8,10,12],[4,5,6,8,9,13]];
G[210]:=Group([(1,10)(2,8)(4,12)(6,7)]);
# Design 211: autom. group order 2, simple, derived
B[211]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,6,7,10,11],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,7,8,10,12],[3,4,6,7,8,10],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,8,9,13]];
G[211]:=Group([(1,12)(2,11)(4,8)]);
# Design 212: autom. group order 2, simple
B[212]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,7,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,6,8,11,12]];
G[212]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 213: autom. group order 2, simple, derived
B[213]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,9,11,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,7,8,10],[3,4,7,10,12,13],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,9,10,11],[4,5,6,8,9,11]];
G[213]:=Group([(1,12)(3,11)(5,10)(7,9)]);
# Design 214: autom. group order 2, simple, derived
B[214]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[214]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 215: autom. group order 2, simple, derived
B[215]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[215]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 216: autom. group order 2, simple, derived
B[216]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[216]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 217: autom. group order 2, simple, derived
B[217]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[217]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 218: autom. group order 2, simple, derived
B[218]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[218]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 219: autom. group order 2, simple, derived
B[219]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,9,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[219]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 220: autom. group order 2, simple, derived
B[220]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[220]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 221: autom. group order 2, simple, derived
B[221]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[221]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 222: autom. group order 2, simple, derived
B[222]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[222]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 223: autom. group order 2, simple, derived
B[223]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[223]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 224: autom. group order 2, simple, derived
B[224]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[224]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 225: autom. group order 2, simple, derived
B[225]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,9,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[225]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 226: autom. group order 2, simple, derived
B[226]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[226]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 227: autom. group order 2, simple
B[227]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,8,9,10]];
G[227]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 228: autom. group order 2, simple
B[228]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[228]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 229: autom. group order 2, simple, derived
B[229]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[229]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 230: autom. group order 2, simple
B[230]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,10]];
G[230]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 231: autom. group order 2, simple
B[231]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,12],[3,5,7,8,11,13],[4,5,6,8,9,10]];
G[231]:=Group([(1,2)(4,9)(5,8)(6,10)(7,11)]);
# Design 232: autom. group order 2, simple, derived
B[232]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,10,12],[1,4,6,7,10,11],[1,4,9,10,12,13],[1,5,7,8,9,13],[1,5,7,8,11,13],[1,6,7,10,11,12],[2,3,7,9,10,11],[2,4,5,11,12,13],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,6,7,8,12],[3,4,7,8,10,13],[3,4,8,9,11,12],[3,5,6,9,10,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[232]:=Group([(1,10)(3,8)(4,12)(6,7)]);
# Design 233: autom. group order 2, simple, derived
B[233]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,10,12],[1,4,6,7,10,11],[1,4,9,10,12,13],[1,5,7,8,9,13],[1,5,7,8,11,13],[1,6,7,10,11,12],[2,3,7,9,10,11],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,9,10,13],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,6,8,9,11]];
G[233]:=Group([(1,10)(3,8)(5,13)(6,7)]);
# Design 234: autom. group order 2, simple, derived
B[234]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,8,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,4,5,9,11,12],[2,4,6,9,12,13],[2,4,7,8,12,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,7,9,10],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,9,12,13],[4,5,6,10,11,13]];
G[234]:=Group([(1,9)(2,8)(4,13)(7,12)]);
# Design 235: autom. group order 2, simple, derived
B[235]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,9,12,13],[2,4,7,8,12,13],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,6,7,9,10],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,9,12,13],[4,5,6,10,11,13]];
G[235]:=Group([(1,9)(2,8)(4,13)(7,12)]);
# Design 236: autom. group order 2, simple, derived
B[236]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,8,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,9,12,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,10,11,12]];
G[236]:=Group([(1,8)(2,9)(5,12)(6,11)]);
# Design 237: autom. group order 2, simple, derived
B[237]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,7,8,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,10,11,12]];
G[237]:=Group([(1,8)(2,9)(5,12)(6,11)]);
# Design 238: autom. group order 2, simple, derived
B[238]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,8,11,13],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[238]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 239: autom. group order 2, simple
B[239]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,8,11,13],[2,5,6,9,11,12],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[239]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 240: autom. group order 2, simple
B[240]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,8,11,12],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[240]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 241: autom. group order 2, simple, derived
B[241]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,11,13],[2,4,7,8,10,12],[2,5,6,9,10,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[241]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 242: autom. group order 2, simple
B[242]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,11,12],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[242]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 243: autom. group order 2, simple
B[243]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,4,7,8,10,12],[2,5,6,9,10,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[243]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 244: autom. group order 2, simple, derived
B[244]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,9,11,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,7,8,11,13],[2,5,6,9,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13]];
G[244]:=Group([(1,11)(2,12)(4,8)(6,7)]);
# Design 245: autom. group order 2, simple
B[245]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,7,9,11,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,6,7,8,9],[3,4,8,10,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,7,8,12,13],[4,5,6,9,11,13]];
G[245]:=Group([(1,12)(2,11)(5,10)(6,8)(7,9)]);
# Design 246: autom. group order 2, simple, derived
B[246]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,11,13],[2,5,6,9,10,12],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,6,7,8,9],[3,4,8,10,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,9,11,13],[3,5,7,8,12,13],[4,5,6,8,10,13]];
G[246]:=Group([(1,12)(2,11)(5,10)(6,8)(7,9)]);
# Design 247: autom. group order 2, simple
B[247]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,6,7,9,11],[2,4,7,8,12,13],[2,5,6,10,11,13],[2,5,8,9,10,12],[2,6,7,9,12,13],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,11,12]];
G[247]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)(7,10)]);
# Design 248: autom. group order 2, simple, derived
B[248]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,8,9,13],[1,4,5,10,11,13],[1,4,6,9,10,11],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,7,9,10,11],[2,4,5,9,10,12],[2,4,6,7,8,12],[2,4,7,8,9,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,10,11,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,4,8,10,12,13],[3,5,6,7,8,10],[3,5,6,9,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[248]:=Group([(1,8)(2,10)(5,12)(6,13)(7,11)]);
# Design 249: autom. group order 2, simple
B[249]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,10,11,12],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,7,9,11],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,9,10,13],[3,5,7,8,9,13],[4,5,6,8,11,13]];
G[249]:=Group([(1,11)(2,12)(5,9)(6,10)(7,8)]);
# Design 250: autom. group order 2, simple, derived
B[250]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,7,9,11,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,9,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,7,8,11,12],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,9,11,13]];
G[250]:=Group([(1,12)(2,11)(5,8)(6,10)]);
# Design 251: autom. group order 2, simple, derived
B[251]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,10,11,12,13],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,8,12,13],[3,4,8,10,12,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,9,11,12]];
G[251]:=Group([(1,13)(2,12)(5,8)(6,10)]);
# Design 252: autom. group order 2, simple, derived
B[252]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,11],[1,4,7,8,9,12],[1,5,7,8,10,11],[1,5,7,10,11,13],[1,6,7,9,12,13],[2,3,7,9,11,13],[2,4,5,9,10,12],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,9,10,12,13],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,8,9,11,12],[4,5,6,9,11,13]];
G[252]:=Group([(1,12)(2,11)(4,8)(7,9)]);
# Design 253: autom. group order 2, simple, derived
B[253]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,7,9,10,11],[1,6,7,8,11,13],[2,3,7,9,10,13],[2,4,5,8,10,11],[2,4,6,7,8,13],[2,4,10,11,12,13],[2,5,6,9,11,12],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,9,10,13]];
G[253]:=Group([(1,8)(2,9)(5,12)(6,11)]);
# Design 254: autom. group order 2, simple, derived
B[254]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,9,10,13],[2,4,5,8,10,11],[2,4,6,7,8,13],[2,4,10,11,12,13],[2,5,6,9,11,12],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,9,10,13]];
G[254]:=Group([(1,8)(2,9)(5,12)(6,11)]);
# Design 255: autom. group order 2, simple, derived
B[255]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,7,8,12,13],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,6,7,8,10],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,7,11,12],[3,4,7,8,10,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,8,10,11,12],[4,5,6,9,12,13]];
G[255]:=Group([(1,10)(2,8)(4,12)(7,11)]);
# Design 256: autom. group order 2, simple, derived
B[256]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,4,7,8,10,12],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,10,11],[2,4,6,7,8,9],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,7,11,12],[3,4,7,8,9,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,8,9,11,12],[4,5,6,10,12,13]];
G[256]:=Group([(1,9)(2,8)(4,12)(7,11)]);
# Design 257: autom. group order 2, simple, derived
B[257]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,9,10,11],[1,4,7,8,11,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,9,12,13],[2,3,7,8,10,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,8,9,11,12],[4,5,6,8,10,13]];
G[257]:=Group([(1,12)(2,11)(4,8)(7,9)]);
# Design 258: autom. group order 2, simple, derived
B[258]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,11],[1,4,7,8,11,12],[1,5,7,8,10,11],[1,5,7,9,10,13],[1,6,7,9,12,13],[2,3,7,8,10,12],[2,4,5,9,10,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,6,7,8,9],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,8,9,11,13],[4,5,6,8,10,12]];
G[258]:=Group([(1,13)(2,11)(4,8)(7,9)]);
# Design 259: autom. group order 2, simple, derived
B[259]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,7,9,10,11],[1,6,7,9,12,13],[2,3,7,9,10,12],[2,4,5,9,10,13],[2,4,6,7,8,12],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,10,11,12],[4,5,6,9,10,12]];
G[259]:=Group([(1,8)(2,9)(5,13)(6,11)]);
# Design 260: autom. group order 2, simple, derived
B[260]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,13],[2,3,7,9,10,12],[2,4,5,9,10,13],[2,4,6,7,8,12],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,10,11,12],[4,5,6,9,10,12]];
G[260]:=Group([(1,8)(2,9)(5,13)(6,11)]);
# Design 261: autom. group order 2, simple, derived
B[261]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,6,7,8,12,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,10,11,12]];
G[261]:=Group([(1,8)(2,9)(5,12)(6,11)]);
# Design 262: autom. group order 2, simple, derived
B[262]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,6,7,8,12,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,10,11,12]];
G[262]:=Group([(1,8)(2,9)(5,12)(6,11)]);
# Design 263: autom. group order 2, simple
B[263]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,7,8,10,13],[1,5,7,9,10,11],[1,6,7,9,11,12],[2,3,7,10,11,12],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,6,7,8,10],[3,4,7,8,9,11],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,9,12,13],[4,5,6,10,11,12]];
G[263]:=Group([(1,8)(2,9)(4,12)(7,13)]);
# Design 264: autom. group order 2, simple
B[264]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,7,10,11,13],[2,4,5,9,11,12],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,6,7,11,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,8,10],[3,5,6,8,9,12],[3,5,9,10,11,12],[4,5,6,10,11,13]];
G[264]:=Group([(1,9)(2,8)(5,13)(6,11)]);
# Design 265: autom. group order 2, simple
B[265]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,6,7,11,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,8,10],[3,5,6,8,9,12],[3,5,9,10,11,12],[4,5,6,10,11,13]];
G[265]:=Group([(1,9)(2,8)(5,13)(6,11)]);
# Design 266: autom. group order 2, simple, derived
B[266]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,7,8,11,12],[3,4,8,10,12,13],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,9,10,11,12],[4,5,6,8,9,13]];
G[266]:=Group([(1,11)(2,12)(4,9)(7,10)]);
# Design 267: autom. group order 2, simple
B[267]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,5,7,10,11,13],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,7,8,11,12],[3,4,8,10,12,13],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,9,10,11,12],[4,5,6,8,9,13]];
G[267]:=Group([(1,11)(2,12)(4,9)(7,10)]);
# Design 268: autom. group order 2, simple
B[268]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,8,9,13],[1,5,7,8,10,11],[1,6,7,10,11,13],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,7,11,13],[2,5,9,10,12,13],[2,6,7,8,9,12],[3,4,6,7,8,10],[3,4,7,9,11,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,6,8,11,12]];
G[268]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 269: autom. group order 2, simple, derived
B[269]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,11],[1,4,6,9,11,13],[1,4,8,10,12,13],[1,5,7,9,11,12],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,7,8,11,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,6,8,12,13],[2,6,7,9,10,11],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,7,8,9,12],[3,5,6,9,10,13],[3,5,7,8,10,11],[3,5,8,9,11,13],[4,5,6,7,10,12]];
G[269]:=Group([(1,2)(6,7)(8,9)(11,13)]);
# Design 270: autom. group order 2, simple, derived
B[270]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,12],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,9,11,13],[2,5,6,10,11,13],[2,6,7,8,9,12],[3,4,6,7,8,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[270]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 271: autom. group order 2, simple, derived
B[271]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,7,9,11,12],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,9,11,13],[2,5,6,10,11,13],[2,6,7,8,9,12],[3,4,6,7,8,11],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[271]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 272: autom. group order 2, simple, derived
B[272]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,13],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,6,9,11,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[272]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 273: autom. group order 2, simple, derived
B[273]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,13],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,4,8,10,11,13],[2,5,6,9,11,12],[2,5,6,9,11,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[273]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 274: autom. group order 2, simple, derived
B[274]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,6,9,11,13],[2,6,7,8,10,13],[3,4,6,7,8,11],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[274]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 275: autom. group order 2, simple, derived
B[275]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,7,9,11,12],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,4,8,9,11,12],[2,5,6,9,11,13],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[275]:=Group([(1,2)(6,7)(9,10)(12,13)]);
# Design 276: autom. group order 2, simple
B[276]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,8,12],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,4,7,10,11,12],[1,5,7,9,10,13],[1,5,8,10,12,13],[1,6,7,8,11,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,7,8,9,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,6,9,10,11],[2,6,7,9,12,13],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,10,13],[3,5,7,9,11,12],[3,5,8,9,11,12],[4,5,6,7,8,11]];
G[276]:=Group([(1,11)(2,9)(3,5)(4,12)(6,8)]);
# Design 277: autom. group order 2, simple
B[277]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,8,12],[1,4,5,9,11,13],[1,4,6,9,12,13],[1,4,7,8,10,11],[1,5,7,9,10,13],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,7,10,11,13],[2,4,5,8,10,12],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,7,12,13],[2,5,6,9,10,11],[2,6,7,8,9,13],[3,4,6,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[3,5,8,9,11,12],[4,5,6,7,8,11]];
G[277]:=Group([(1,11)(2,9)(3,5)(4,12)(6,8)]);
# Design 278: autom. group order 2, simple, derived
B[278]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,8,10,12],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[278]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 279: autom. group order 2, simple, derived
B[279]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,4,7,9,11,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[279]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 280: autom. group order 2, simple, derived
B[280]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,12],[3,5,7,8,10,13],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[280]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 281: autom. group order 2, simple, derived
B[281]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,12,13],[1,4,6,8,11,12],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,9,10,11,13],[1,6,7,9,12,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,4,7,9,12,13],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,5,8,9,11,12],[4,5,6,10,11,12]];
G[281]:=Group([(1,8)(2,9)(4,12)(6,11)]);
# Design 282: autom. group order 2, simple, derived
B[282]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,7,10,12],[1,4,5,8,12,13],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,9,10,11,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,10,11],[2,4,7,9,12,13],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,7,8,12,13],[3,4,6,8,9,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,5,8,9,11,12],[4,5,6,10,11,12]];
G[282]:=Group([(1,8)(2,9)(4,12)(6,11)]);
# Design 283: autom. group order 2, simple, derived
B[283]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[283]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 284: autom. group order 2, simple, derived
B[284]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,4,7,9,11,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[284]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 285: autom. group order 2, simple, derived
B[285]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[285]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 286: autom. group order 2, simple, derived
B[286]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,7,10,12],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,8,11,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,7,9,10,11],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,9,11,12],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,12,13]];
G[286]:=Group([(1,11)(2,12)(4,9)]);
# Design 287: autom. group order 2, simple, derived
B[287]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,8,10,12],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[287]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 288: autom. group order 2, simple, derived
B[288]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,9,11,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[288]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 289: autom. group order 2, simple, derived
B[289]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,9,11,12],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,12],[3,5,7,8,10,13],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[289]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 290: autom. group order 2, simple, derived
B[290]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,10,12],[1,5,7,8,11,12],[1,5,9,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,9,10,12],[3,5,7,8,10,12],[3,5,7,9,11,13],[4,5,6,8,9,10]];
G[290]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 291: autom. group order 2, simple, derived
B[291]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[291]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 292: autom. group order 2, simple, derived
B[292]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,8,10,12],[3,5,7,9,11,12],[4,5,6,8,9,10]];
G[292]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 293: autom. group order 2, simple
B[293]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,9,13],[1,4,7,8,10,11],[1,5,7,9,10,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,7,8,11,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,9,10,11],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,5,8,9,11,13],[4,5,6,8,11,12]];
G[293]:=Group([(1,11)(2,9)(3,5)(4,13)(6,8)]);
# Design 294: autom. group order 2, simple, derived
B[294]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,6,7,9,11],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,6,8,11,12],[2,6,7,8,9,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[3,5,9,11,12,13],[4,5,6,8,9,10]];
G[294]:=Group([(1,11)(3,12)(5,10)(6,9)]);
# Design 295: autom. group order 2, simple, derived
B[295]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[295]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 296: autom. group order 2, simple, derived
B[296]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,9,11,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[296]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 297: autom. group order 2, simple, derived
B[297]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,10,11,12],[1,4,6,7,8,13],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,9,11,12],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[297]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 298: autom. group order 2, simple, derived
B[298]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,10,12],[1,5,7,8,11,12],[1,5,9,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[298]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 299: autom. group order 2, simple, derived
B[299]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,13],[4,5,6,8,9,10]];
G[299]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 300: autom. group order 2, simple, derived
B[300]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,9,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,5,9,10,11,12],[4,5,6,8,9,10]];
G[300]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 301: autom. group order 2, simple
B[301]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,9,13],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,7,8,9,12],[2,4,7,8,11,13],[2,5,6,9,10,11],[2,5,6,10,12,13],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,7,9,11,13],[3,5,8,9,11,13],[4,5,6,8,11,12]];
G[301]:=Group([(1,11)(2,9)(3,5)(4,13)(6,8)]);
# Design 302: autom. group order 2, simple
B[302]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,6,7,8,10,11],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,5,6,9,11,12],[3,5,7,9,10,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[302]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 303: autom. group order 2, simple
B[303]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,12],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,5,6,9,11,13],[3,5,7,9,10,13],[3,5,8,10,11,12],[4,5,6,8,9,10]];
G[303]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 304: autom. group order 2, simple, derived
B[304]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,6,7,8,10,11],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,5,6,9,11,12],[3,5,7,9,10,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[304]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 305: autom. group order 2, simple
B[305]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,7,8,10,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,10]];
G[305]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 306: autom. group order 2, simple
B[306]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,12],[2,6,7,8,10,11],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,7,8,10,12],[3,5,6,9,10,13],[3,5,7,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[306]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 307: autom. group order 2, simple, derived
B[307]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,7,8,10,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[3,5,8,10,11,12],[4,5,6,8,9,10]];
G[307]:=Group([(1,2)(4,8)(5,9)(6,10)(7,11)]);
# Design 308: autom. group order 2, simple
B[308]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,4,7,8,9,12],[1,5,7,8,12,13],[1,5,7,10,11,13],[1,6,7,9,11,13],[2,3,7,9,10,13],[2,4,5,9,11,13],[2,4,7,10,11,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,6,7,8,10,11],[3,4,6,7,11,12],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,5,9,10,11,12],[4,5,6,9,10,13]];
G[308]:=Group([(1,12)(2,11)(4,9)(6,10)(7,8)]);
# Design 309: autom. group order 2, simple, derived
B[309]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,9,10,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,9,12,13],[2,6,7,8,9,11],[3,4,6,7,11,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,9],[3,5,8,10,11,12],[3,5,9,10,11,12],[4,5,6,8,10,13]];
G[309]:=Group([(1,12)(2,11)(4,10)(6,8)(7,9)]);
# Design 310: autom. group order 2, simple
B[310]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,4,7,10,11,13],[1,5,7,8,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,7,8,11,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,6,10,12,13],[2,6,7,9,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,8,10],[3,5,8,9,11,13],[3,5,9,10,11,13],[4,5,6,8,11,12]];
G[310]:=Group([(1,11)(2,9)(3,5)(4,13)(6,8)(7,10)]);
# Design 311: autom. group order 2, simple, derived
B[311]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,6,8,9,13],[1,4,5,10,11,13],[1,4,6,10,11,12],[1,4,7,8,10,13],[1,5,7,8,9,11],[1,5,7,9,12,13],[1,6,7,9,10,12],[2,3,7,9,10,11],[2,4,5,9,10,12],[2,4,7,8,12,13],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,6,7,10,11,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[311]:=Group([(1,8)(2,10)(4,12)(6,13)(7,11)]);
# Design 312: autom. group order 2, simple
B[312]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,4,7,8,9,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,5,9,10,11,12],[4,5,6,8,11,13]];
G[312]:=Group([(1,11)(2,12)(4,9)(6,10)(7,8)]);
# Design 313: autom. group order 2, simple, derived
B[313]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,4,6,8,9,12],[1,5,7,8,9,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,6,8,11,12],[4,5,7,8,9,11]];
G[313]:=Group([(1,10)(3,9)(4,12)(6,7)]);
# Design 314: autom. group order 2, simple, derived
B[314]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,4,6,9,11,12],[1,5,7,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,6,8,11,12],[4,5,7,8,9,11]];
G[314]:=Group([(1,10)(3,9)(4,12)(6,7)]);
# Design 315: autom. group order 2, simple, derived
B[315]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,9,12,13],[1,4,6,7,9,11],[1,4,6,10,12,13],[1,5,7,9,10,11],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,9,10,12],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,8,11,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,11,12],[3,5,6,9,10,12],[4,5,7,8,9,12]];
G[315]:=Group([(1,13)(2,11)(5,9)(6,10)(7,8)]);
# Design 316: autom. group order 2, simple, derived
B[316]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,7,8,9,13],[1,4,5,9,11,13],[1,4,6,7,9,12],[1,4,6,10,12,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,9,10,13],[2,4,7,8,11,13],[2,5,6,8,9,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,6,10,11,13],[4,5,7,8,12,13]];
G[316]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 317: autom. group order 2, simple
B[317]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,5,9,10,11,12],[1,6,7,8,11,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,9,10,11],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,9,10,12],[3,5,6,10,11,13],[4,5,7,8,10,11]];
G[317]:=Group([(1,8)(2,9)(5,13)(6,11)(7,12)]);
# Design 318: autom. group order 2, simple
B[318]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,9,12,13],[1,5,7,10,11,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,4,5,9,10,11],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,6,9,11,12],[4,5,7,8,9,12]];
G[318]:=Group([(1,11)(2,13)(5,8)(6,10)(7,9)]);
# Design 319: autom. group order 2, simple, derived
B[319]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,5,7,8,9,11],[1,5,7,10,11,13],[1,6,7,8,12,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,7,8,11],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,9,10,11,12],[2,6,7,9,10,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,6,9,11,12],[4,5,7,8,9,12]];
G[319]:=Group([(1,11)(2,13)(5,8)(6,10)(7,9)]);
# Design 320: autom. group order 2, simple, derived
B[320]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,10,12],[1,4,5,9,11,12],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,5,7,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,13],[2,3,7,10,11,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,9,11,12],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,9,10,12],[3,5,6,10,11,13],[4,5,7,8,10,11]];
G[320]:=Group([(1,8)(2,9)(5,13)(6,11)(7,12)]);
# Design 321: autom. group order 2, simple, derived
B[321]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,8,9,10,13],[1,4,5,9,10,11],[1,4,6,7,9,12],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,7,8,13],[3,4,7,10,11,12],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,6,9,11,13],[4,5,8,9,12,13]];
G[321]:=Group([(1,11)(2,12)(5,10)(6,8)]);
# Design 322: autom. group order 2, simple
B[322]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,9,11,13],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[322]:=Group([(1,9)(2,12)(4,6)(5,7)(10,13)]);
# Design 323: autom. group order 2, simple
B[323]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,10,11],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[323]:=Group([(1,9)(2,12)(4,6)(5,7)(10,13)]);
# Design 324: autom. group order 2, simple
B[324]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,9,10,11],[1,4,6,8,10,12],[1,4,7,10,12,13],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,11,12,13],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[324]:=Group([(1,12)(2,9)(4,7)(5,6)(8,11)]);
# Design 325: autom. group order 2, simple, derived
B[325]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,8,9,10],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,8,9,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,8,9,11,13]];
G[325]:=Group([(1,13)(2,9)(4,7)(5,6)(8,11)]);
# Design 326: autom. group order 2, simple
B[326]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,4,7,8,9,11],[2,5,6,11,12,13],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,8,10,12],[4,5,8,9,11,13]];
G[326]:=Group([(1,13)(2,9)(4,7)(5,6)(8,11)]);
# Design 327: autom. group order 2, simple
B[327]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,9,10,11],[1,4,6,8,10,12],[1,4,7,8,9,13],[1,5,6,10,12,13],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,8,9,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[327]:=Group([(1,12)(2,9)(4,7)(5,6)(8,11)]);
# Design 328: autom. group order 2, simple, derived
B[328]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,8,9,10],[1,5,6,10,12,13],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,8,10,12],[4,5,8,9,11,13]];
G[328]:=Group([(1,13)(2,9)(4,7)(5,6)(8,11)]);
# Design 329: autom. group order 2, simple
B[329]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,10,12,13],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,8,9,11,13]];
G[329]:=Group([(1,13)(2,9)(4,7)(5,6)(8,11)]);
# Design 330: autom. group order 2, simple, derived
B[330]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,4,7,9,10,11],[1,5,6,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,6,8,11,12],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[330]:=Group([(1,9)(2,12)(4,6)(5,7)(10,13)]);
# Design 331: autom. group order 2, simple, derived
B[331]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,4,7,9,11,13],[1,5,6,9,10,11],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,6,8,11,12],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[331]:=Group([(1,9)(2,12)(4,6)(5,7)(10,13)]);
# Design 332: autom. group order 2, simple
B[332]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,9,11,13],[1,5,7,9,10,13],[1,6,7,10,11,12],[2,3,9,10,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[332]:=Group([(1,9)(2,12)(4,6)(5,7)(10,13)]);
# Design 333: autom. group order 2, simple
B[333]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,10,11],[1,5,7,9,10,13],[1,6,7,10,11,12],[2,3,9,10,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,8,9,11,12]];
G[333]:=Group([(1,9)(2,12)(4,6)(5,7)(10,13)]);
# Design 334: autom. group order 2, simple, derived
B[334]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,9,10,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,8,11,12],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[334]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 335: autom. group order 2, simple
B[335]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,11,12,13],[1,4,6,8,11,12],[1,4,7,8,10,13],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[335]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 336: autom. group order 2, simple, derived
B[336]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,11,13],[1,4,7,8,10,13],[1,5,6,8,9,10],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,9,11,13],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[336]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 337: autom. group order 2, simple, derived
B[337]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,11,12,13],[2,4,7,10,11,13],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,8,9,11],[3,5,6,7,10,12],[3,5,6,9,11,13],[3,5,7,8,11,13],[4,5,8,9,10,12]];
G[337]:=Group([(1,12)(2,10)(4,6)(5,7)(8,13)]);
# Design 338: autom. group order 2, simple, derived
B[338]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,11,13],[1,4,7,8,10,13],[1,5,6,8,10,12],[1,5,7,9,10,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,8,11,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[338]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 339: autom. group order 2, simple
B[339]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,4,7,8,12,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,4,7,8,9,11],[3,5,6,7,10,12],[3,5,6,9,11,13],[3,5,7,8,9,13],[4,5,8,9,10,12]];
G[339]:=Group([(1,12)(2,10)(4,6)(5,7)(8,13)]);
# Design 340: autom. group order 2, simple, derived
B[340]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,9,10,12],[1,4,6,8,10,13],[1,4,7,8,11,12],[1,5,6,8,11,13],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[340]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 341: autom. group order 2, simple
B[341]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,11,12,13],[1,4,6,8,11,12],[1,4,7,8,10,13],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,10,12,13],[2,4,7,8,9,11],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[341]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 342: autom. group order 2, simple, derived
B[342]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,11,13],[1,4,7,8,9,10],[1,5,6,8,10,13],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,11,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[342]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 343: autom. group order 2, simple, derived
B[343]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,11,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,8,9,10,12]];
G[343]:=Group([(1,12)(2,10)(4,6)(5,7)(8,13)]);
# Design 344: autom. group order 2, simple, derived
B[344]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,11,13],[1,4,7,8,10,12],[1,5,6,8,10,13],[1,5,7,9,10,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,11,13],[2,5,6,11,12,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[344]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 345: autom. group order 2, simple
B[345]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,4,7,8,12,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,9,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[4,5,8,9,10,12]];
G[345]:=Group([(1,12)(2,10)(4,6)(5,7)(8,13)]);
# Design 346: autom. group order 2, simple, derived
B[346]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,9,10,12],[1,4,6,8,11,13],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[346]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 347: autom. group order 2, simple, derived
B[347]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,9,11,13],[1,4,6,8,10,12],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[347]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 348: autom. group order 2, simple, derived
B[348]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,9,10,12],[1,4,6,8,11,13],[1,4,7,8,11,12],[1,5,6,8,10,13],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[348]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 349: autom. group order 2, simple, derived
B[349]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,9,11,13],[1,4,6,8,10,12],[1,4,7,8,11,12],[1,5,6,8,10,13],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[349]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 350: autom. group order 2, simple
B[350]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,7,8,9,11],[1,5,6,8,10,13],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[350]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 351: autom. group order 2, simple
B[351]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,7,8,10,13],[1,5,6,8,9,11],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[351]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 352: autom. group order 2, simple, derived
B[352]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,8,9,10],[1,5,6,8,11,13],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,9,11,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[352]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 353: autom. group order 2, simple, derived
B[353]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,8,9,10],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,9,10,12],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[353]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 354: autom. group order 2, simple, derived
B[354]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,8,10,12],[1,5,7,9,10,13],[1,6,7,9,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,11,12,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[354]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 355: autom. group order 2, simple, derived
B[355]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,8,10,11],[1,5,6,8,12,13],[1,5,7,9,10,13],[1,6,7,9,11,12],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,11,12,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[4,5,8,9,10,12]];
G[355]:=Group([(1,12)(2,10)(4,7)(5,6)(8,13)]);
# Design 356: autom. group order 2, simple
B[356]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,4,7,8,12,13],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,11,12,13],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,11,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,9,11],[4,5,8,9,10,12]];
G[356]:=Group([(1,12)(2,10)(4,7)(5,6)(8,13)]);
# Design 357: autom. group order 2, simple
B[357]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,4,7,8,10,11],[1,5,6,8,12,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,8,10,13],[2,4,7,11,12,13],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[4,5,8,9,10,12]];
G[357]:=Group([(1,12)(2,10)(4,7)(5,6)(8,13)]);
# Design 358: autom. group order 2, simple
B[358]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,11,12,13],[1,6,7,8,11,12],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,9,11,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[358]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 359: autom. group order 2, simple, derived
B[359]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,4,7,11,12,13],[1,5,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[359]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 360: autom. group order 2, simple, derived
B[360]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,9,10,12],[1,5,7,9,11,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,6,8,11,12],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[360]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 361: autom. group order 2, simple
B[361]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,6,9,11,12],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[361]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 362: autom. group order 2, simple, derived
B[362]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,5,7,9,11,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,11,12,13],[2,4,7,9,11,12],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[362]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 363: autom. group order 2, simple, derived
B[363]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,6,7,8,9,10],[2,3,9,10,11,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[363]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 364: autom. group order 2, simple
B[364]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,11,12,13],[1,6,7,8,11,12],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,9,11],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[364]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 365: autom. group order 2, simple, derived
B[365]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,4,7,9,11,12],[1,5,6,11,12,13],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[365]:=Group([(1,10)(2,11)(4,6)(5,7)(8,13)]);
# Design 366: autom. group order 2, simple, derived
B[366]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,9,10,12],[1,5,6,10,12,13],[1,5,7,9,11,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[366]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 367: autom. group order 2, simple
B[367]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,6,9,11,12],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,7,8,9,11],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[367]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 368: autom. group order 2, simple, derived
B[368]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,6,9,10,13],[1,5,7,9,11,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,11,12,13],[2,4,7,8,9,11],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,8,9,10,11]];
G[368]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 369: autom. group order 2, simple, derived
B[369]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,6,7,8,9,10],[2,3,9,10,11,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,8,9,10,11]];
G[369]:=Group([(1,11)(2,10)(4,6)(5,7)(8,13)]);
# Design 370: autom. group order 2, simple
B[370]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,11,13],[1,5,6,9,10,12],[1,5,7,10,12,13],[1,6,7,8,11,12],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,9,10],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[370]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 371: autom. group order 2, simple
B[371]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,6,9,11,13],[1,5,7,10,12,13],[1,6,7,8,11,12],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,8,9,10],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[371]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 372: autom. group order 2, simple, derived
B[372]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,4,7,9,10,12],[1,5,6,11,12,13],[1,5,7,9,11,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[372]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 373: autom. group order 2, simple, derived
B[373]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,6,11,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[373]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 374: autom. group order 2, simple, derived
B[374]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,4,7,11,12,13],[1,5,6,9,10,12],[1,5,7,9,11,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,8,10,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[374]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 375: autom. group order 2, simple, derived
B[375]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,9,10,11,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,9,10,12],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,4,7,8,10,12],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[375]:=Group([(1,10)(2,11)(4,7)(5,6)(8,13)]);
# Design 376: autom. group order 2, simple
B[376]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,8,9,11],[1,4,7,9,11,12],[1,5,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[376]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 377: autom. group order 2, simple, derived
B[377]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,9,11,12],[1,5,6,10,12,13],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,8,11,12],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[377]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 378: autom. group order 2, simple
B[378]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,8,9,11],[1,4,7,10,12,13],[1,5,6,9,11,12],[1,5,7,9,11,13],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,8,11,12],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[378]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 379: autom. group order 2, simple, derived
B[379]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,11,12],[2,5,6,8,10,13],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[379]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 380: autom. group order 2, simple, derived
B[380]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,9,11],[2,5,6,8,10,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[380]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 381: autom. group order 2, simple, derived
B[381]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,7,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,9,11,12],[1,5,6,9,10,13],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[381]:=Group([(1,11)(2,10)(4,7)(5,6)(8,13)]);
# Design 382: autom. group order 2, simple, derived
B[382]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,4,7,8,9,12],[1,5,6,8,9,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,7,8,10,13],[4,5,7,8,9,11]];
G[382]:=Group([(1,10)(3,9)(4,12)(6,7)]);
# Design 383: autom. group order 2, simple, derived
B[383]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,4,7,9,11,12],[1,5,6,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,7,8,10,13],[4,5,7,8,9,11]];
G[383]:=Group([(1,10)(3,9)(4,12)(6,7)]);
# Design 384: autom. group order 2, simple, derived
B[384]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,10,13],[1,3,7,9,11,13],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,4,7,8,11,12],[1,5,6,10,11,12],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,6,8,9,12],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,10,12,13],[4,5,7,8,9,10]];
G[384]:=Group([(2,12)(3,11)(4,10)(7,9)]);
# Design 385: autom. group order 2, simple, derived
B[385]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,11,12],[1,3,7,8,11,13],[1,4,5,8,9,10],[1,4,6,7,9,11],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,4,9,10,11,13],[2,5,6,9,11,12],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,7,8,11,12]];
G[385]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 386: autom. group order 2, simple, derived
B[386]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,8,9,11],[1,3,7,8,12,13],[1,4,5,9,10,12],[1,4,6,7,10,11],[1,4,9,10,12,13],[1,5,6,8,9,13],[1,5,7,8,11,13],[1,6,7,10,11,12],[2,3,7,9,10,11],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,8,10,12],[3,5,6,10,11,13],[3,5,7,9,10,13],[4,5,7,8,9,11]];
G[386]:=Group([(1,10)(3,8)(5,13)(6,7)]);
# Design 387: autom. group order 2, simple, derived
B[387]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,12],[1,5,6,8,11,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,8,11,13],[2,5,6,9,11,12],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[387]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 388: autom. group order 2, simple
B[388]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,8,11,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,8,11,13],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,6,9,11,12],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[388]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 389: autom. group order 2, simple
B[389]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,8,11,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,8,11,12],[2,5,6,9,11,12],[2,5,7,9,10,13],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[389]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 390: autom. group order 2, simple, derived
B[390]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,12],[1,5,6,8,11,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,11,12],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[390]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 391: autom. group order 2, simple
B[391]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,8,11,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,11,13],[2,4,7,8,10,12],[2,5,6,9,10,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,6,9,11,12],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,13],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[391]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 392: autom. group order 2, simple
B[392]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,6,10,12,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,8,11,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,4,5,10,11,12],[2,4,6,8,11,12],[2,4,7,8,10,13],[2,5,6,9,10,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[392]:=Group([(1,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 393: autom. group order 2, simple
B[393]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,6,10,11,12],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,7,10,11,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,6,7,8,12],[3,4,6,11,12,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,10],[3,5,9,10,12,13],[4,5,7,8,9,11]];
G[393]:=Group([(2,12)(3,11)(4,10)(6,7)]);
# Design 394: autom. group order 2, simple, derived
B[394]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,6,10,11,12],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,9,10,11],[2,4,7,11,12,13],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,9,10,11,13],[4,5,7,8,9,11]];
G[394]:=Group([(2,11)(3,12)(4,10)]);
# Design 395: autom. group order 2, simple, derived
B[395]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,6,9,11,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,6,10,11,12],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,10,11],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,12,13],[3,5,9,10,11,13],[4,5,7,8,9,11]];
G[395]:=Group([(2,11)(3,12)(4,10)]);
# Design 396: autom. group order 2, simple, derived
B[396]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,9,11],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,7,8,12,13],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,8,12],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,6,9,12,13],[2,6,7,8,10,11],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[396]:=Group([(1,2)(6,7)(8,9)(11,12)]);
# Design 397: autom. group order 2, simple, derived
B[397]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,7,8,11,13],[1,5,7,8,12,13],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,8,11],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,6,9,12,13],[2,6,7,8,10,11],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[397]:=Group([(1,2)(6,7)(8,9)(11,12)]);
# Design 398: autom. group order 2, simple, derived
B[398]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,9,12],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,8,11],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,6,9,12,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[398]:=Group([(1,2)(6,7)(8,9)(11,12)]);
# Design 399: autom. group order 2, simple, derived
B[399]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,11],[1,4,6,7,9,11],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,6,9,10,13],[2,4,5,9,10,12],[2,4,6,7,8,12],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,7,8,9,10],[3,5,7,9,11,12],[4,5,6,8,9,13]];
G[399]:=Group([(2,12)(3,13)(4,10)(6,7)]);
# Design 400: autom. group order 2, simple, derived
B[400]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,11],[1,4,6,7,9,11],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,6,9,10,13],[2,4,5,9,10,12],[2,4,6,7,8,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,9,10],[3,5,7,8,11,12],[4,5,6,8,9,13]];
G[400]:=Group([(2,12)(3,13)(4,10)(6,7)]);
# Design 401: autom. group order 2, simple, derived
B[401]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,4,7,10,11,12],[1,5,6,8,11,12],[1,5,7,9,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,4,5,10,12,13],[2,4,6,7,8,9],[2,4,7,9,11,12],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,8,10,13],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,5,7,9,10,12],[4,5,6,8,9,11]];
G[401]:=Group([(1,9)(2,10)(4,12)]);
# Design 402: autom. group order 2, simple
B[402]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,10,11,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,6,9,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,4,5,9,12,13],[2,4,6,7,8,13],[2,4,7,9,11,12],[2,5,6,8,11,12],[2,5,7,8,10,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[3,5,8,9,12,13],[4,5,6,8,9,10]];
G[402]:=Group([(2,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 403: autom. group order 2, simple
B[403]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,10,11,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,6,9,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,4,5,9,12,13],[2,4,6,7,8,13],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[3,5,8,9,12,13],[4,5,6,8,9,10]];
G[403]:=Group([(2,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 404: autom. group order 2, simple
B[404]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,10,11,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,11,12],[1,5,6,9,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,4,5,9,12,13],[2,4,6,7,8,13],[2,4,7,9,11,13],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,11,13],[3,5,8,9,12,13],[4,5,6,8,9,10]];
G[404]:=Group([(2,3)(4,8)(5,9)(6,10)(7,11)]);
# Design 405: autom. group order 2, simple
B[405]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,10,11,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,9,11,12],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,6,11,12,13],[2,4,5,9,12,13],[2,4,6,7,8,12],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,7,8,10,12],[3,5,8,9,12,13],[4,5,6,8,9,11]];
G[405]:=Group([(2,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 406: autom. group order 2, simple
B[406]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,10,11,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,9,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,6,11,12,13],[2,4,5,9,12,13],[2,4,6,7,8,12],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,7,8,10,13],[3,5,8,9,12,13],[4,5,6,8,9,11]];
G[406]:=Group([(2,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 407: autom. group order 2, simple
B[407]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,9,11],[1,2,10,11,12,13],[1,3,6,7,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,9,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,6,11,12,13],[2,4,5,9,12,13],[2,4,6,7,8,12],[2,4,7,9,10,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,9,10,11],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,7,8,10,13],[3,5,8,9,12,13],[4,5,6,8,9,11]];
G[407]:=Group([(2,3)(4,8)(5,9)(6,11)(7,10)]);
# Design 408: autom. group order 2, simple
B[408]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,9,10,13],[1,4,6,11,12,13],[1,4,7,8,10,11],[1,5,6,8,10,11],[1,5,7,9,10,12],[1,6,7,9,12,13],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,6,8,10,12],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,12],[3,5,6,8,9,12],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,8,9,11,13]];
G[408]:=Group([(1,9)(3,11)(4,6)(5,7)(10,12)]);
# Design 409: autom. group order 2, simple
B[409]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,9,11,13],[1,4,6,11,12,13],[1,4,7,8,10,12],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,9,10,13],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,8,9,12,13]];
G[409]:=Group([(1,9)(3,12)(4,6)(5,7)(10,11)]);
# Design 410: autom. group order 2, simple
B[410]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,9,11,13]];
G[410]:=Group([(1,11)(3,9)(4,6)(5,7)(8,13)]);
# Design 411: autom. group order 2, simple
B[411]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,10,12,13],[3,4,6,11,12,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,9,11,13]];
G[411]:=Group([(1,11)(3,9)(4,6)(5,7)(8,13)]);
# Design 412: autom. group order 2, simple
B[412]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,4,7,9,12,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,10,12,13],[3,4,6,11,12,13],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,9,11,13]];
G[412]:=Group([(1,11)(3,9)(4,6)(5,7)(8,13)]);
# Design 413: autom. group order 2, simple
B[413]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,9,10,13],[1,4,6,8,11,12],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,7,9,10,12],[1,6,7,9,12,13],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,10,13],[3,4,6,8,9,10],[3,4,7,8,9,12],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,8,9,11,13]];
G[413]:=Group([(1,9)(3,11)(4,6)(5,7)(10,12)]);
# Design 414: autom. group order 2, simple
B[414]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,9,11,13],[1,4,6,8,11,12],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,9,10,13],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,9,11,13],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,8,9,12,13]];
G[414]:=Group([(1,9)(3,12)(4,6)(5,7)(10,11)]);
# Design 415: autom. group order 2, simple
B[415]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,9,10,13],[1,4,6,8,11,12],[1,4,7,8,10,11],[1,5,6,10,11,13],[1,5,7,9,10,12],[1,6,7,9,12,13],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,10,13],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,8,9,12],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,8,9,11,13]];
G[415]:=Group([(1,9)(3,11)(4,6)(5,7)(10,12)]);
# Design 416: autom. group order 2, simple
B[416]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,9,11,13],[1,4,6,8,11,12],[1,4,7,8,10,12],[1,5,6,10,12,13],[1,5,7,9,10,11],[1,6,7,9,10,13],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,8,9,12,13]];
G[416]:=Group([(1,9)(3,12)(4,6)(5,7)(10,11)]);
# Design 417: autom. group order 2, simple
B[417]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,11],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,7,10,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,9,11,13]];
G[417]:=Group([(1,11)(3,9)(4,6)(5,7)(8,13)]);
# Design 418: autom. group order 2, simple
B[418]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,7,10,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,11,12,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,9,11,13]];
G[418]:=Group([(1,11)(3,9)(4,6)(5,7)(8,13)]);
# Design 419: autom. group order 2, simple
B[419]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,9,12,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,10,11,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,11,12,13],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,9,11,13]];
G[419]:=Group([(1,11)(3,9)(4,6)(5,7)(8,13)]);
# Design 420: autom. group order 2, simple, derived
B[420]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,9,10,12],[1,4,6,8,11,12],[1,4,7,8,11,13],[1,5,6,11,12,13],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,8,9,10,11]];
G[420]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 421: autom. group order 2, simple, derived
B[421]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,9,10,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,11,12,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,10,12,13],[4,5,8,9,10,11]];
G[421]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 422: autom. group order 2, simple, derived
B[422]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,11,13],[1,5,6,10,11,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,4,7,10,11,13],[3,5,6,8,9,13],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,8,9,11,12]];
G[422]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 423: autom. group order 2, simple, derived
B[423]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,11,13],[1,5,6,11,12,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,8,9,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,8,9,11,12]];
G[423]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 424: autom. group order 2, simple, derived
B[424]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,11],[1,4,7,8,11,13],[1,5,6,11,12,13],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,8,10,11,12]];
G[424]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 425: autom. group order 2, simple, derived
B[425]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,11,12],[1,4,7,8,11,13],[1,5,6,9,11,13],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,6,10,12,13],[3,4,7,8,9,10],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,8,10,11,12]];
G[425]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 426: autom. group order 2, simple, derived
B[426]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,9,10,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,6,8,11,12],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,8,9,11],[3,4,7,10,12,13],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,8,10,12],[4,5,8,9,10,11]];
G[426]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 427: autom. group order 2, simple, derived
B[427]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,9,10,12],[1,4,6,8,10,13],[1,4,7,8,11,12],[1,5,6,8,11,13],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,8,10,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,8,9,10,11]];
G[427]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 428: autom. group order 2, simple, derived
B[428]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,6,8,11,13],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,8,9,11,12]];
G[428]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 429: autom. group order 2, simple, derived
B[429]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,6,8,11,13],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,9,10],[4,5,8,9,11,12]];
G[429]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 430: autom. group order 2, simple, derived
B[430]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,11,13],[1,5,6,8,10,11],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,8,9,11,12]];
G[430]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 431: autom. group order 2, simple, derived
B[431]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,11,13],[1,5,6,8,11,12],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,9,10],[4,5,8,9,11,12]];
G[431]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 432: autom. group order 2, simple, derived
B[432]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,6,9,10,12],[1,4,7,8,11,12],[1,5,6,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,8,9,10,11]];
G[432]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 433: autom. group order 2, simple, derived
B[433]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,4,7,8,11,12],[1,5,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,8,9,10,11]];
G[433]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 434: autom. group order 2, simple, derived
B[434]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,9,10,12],[1,4,7,8,10,11],[1,5,6,10,11,12],[1,5,7,11,12,13],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,8,9,11,12]];
G[434]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 435: autom. group order 2, simple, derived
B[435]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,9,10,12],[1,4,7,8,11,12],[1,5,6,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,9,10],[4,5,8,9,11,12]];
G[435]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 436: autom. group order 2, simple, derived
B[436]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,10,11,12],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,8,9,11,12]];
G[436]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 437: autom. group order 2, simple, derived
B[437]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,11,12,13],[1,4,7,8,10,11],[1,5,6,10,11,12],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,8,9,11,12]];
G[437]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 438: autom. group order 2, simple, derived
B[438]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,4,7,9,11,12],[1,5,6,11,12,13],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,9,10,12],[3,5,7,8,11,13],[4,5,8,9,10,11]];
G[438]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 439: autom. group order 2, simple, derived
B[439]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,4,7,11,12,13],[1,5,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,7,9,10,12],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,11,13],[4,5,8,9,10,11]];
G[439]:=Group([(1,10)(3,11)(4,6)(5,7)(8,13)]);
# Design 440: autom. group order 2, simple, derived
B[440]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,8,10,11],[1,4,7,10,11,12],[1,5,6,11,12,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,10,12],[3,5,7,8,11,13],[4,5,8,9,11,12]];
G[440]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 441: autom. group order 2, simple, derived
B[441]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,4,7,10,11,12],[1,5,6,10,11,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,10,12],[3,5,7,8,11,13],[4,5,8,9,11,12]];
G[441]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 442: autom. group order 2, simple, derived
B[442]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,8,10,11],[1,4,7,11,12,13],[1,5,6,10,11,12],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,11,13],[4,5,8,9,11,12]];
G[442]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 443: autom. group order 2, simple, derived
B[443]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,8,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,4,7,10,11,13],[1,5,6,10,11,12],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,10],[3,5,6,10,11,13],[3,5,7,8,11,13],[4,5,8,9,11,12]];
G[443]:=Group([(1,9)(3,11)(4,6)(5,7)(8,13)]);
# Design 444: autom. group order 2, simple, derived
B[444]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,9,12],[1,4,7,10,11,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,8,11],[2,4,6,10,12,13],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[444]:=Group([(1,11)(2,12)(4,10)]);
# Design 445: autom. group order 2, simple
B[445]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,9,12],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,5,7,9,11,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,8,11],[2,4,6,10,11,13],[2,5,6,9,12,13],[2,5,7,8,12,13],[2,6,7,9,10,11],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[445]:=Group([(1,12)(2,11)(4,10)(8,9)]);
# Design 446: autom. group order 2, simple
B[446]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,10,11],[1,3,6,8,12,13],[1,4,5,9,10,12],[1,4,6,7,8,12],[1,4,7,9,11,12],[1,5,6,10,11,13],[1,5,7,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,4,6,9,11,13],[2,5,6,8,11,12],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,6,8,10,11],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,10,12,13]];
G[446]:=Group([(1,2)(6,7)(8,10)(12,13)]);
# Design 447: autom. group order 2, simple
B[447]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,10,11],[1,3,6,8,12,13],[1,4,5,9,10,12],[1,4,6,7,8,13],[1,4,7,9,11,12],[1,5,6,10,11,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,8,11,12],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,6,8,10,11],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,8,10,12,13]];
G[447]:=Group([(1,2)(6,7)(8,10)(12,13)]);
# Design 448: autom. group order 2, simple, derived
B[448]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[448]:=Group([(1,11)(2,12)(4,10)]);
# Design 449: autom. group order 2, simple
B[449]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,10,11],[1,4,6,7,8,12],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,6,10,11,13],[2,5,6,9,12,13],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[449]:=Group([(1,12)(2,11)(4,10)(8,9)]);
# Design 450: autom. group order 2, simple
B[450]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,6,7,9,11],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,4,5,9,10,12],[2,4,6,7,8,12],[2,4,6,10,12,13],[2,5,6,8,11,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[450]:=Group([(1,2)(6,7)(8,9)(11,12)]);
# Design 451: autom. group order 2, simple, derived
B[451]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,6,7,9,11],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,7,9,10,13],[2,4,5,9,10,12],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[451]:=Group([(1,11)(2,12)(4,10)(6,7)]);
# Design 452: autom. group order 2, simple
B[452]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,7,9,10,13],[2,4,5,9,10,12],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,5,6,8,11,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,7,10,11,12],[4,5,8,9,10,13]];
G[452]:=Group([(1,2)(6,7)(8,9)(11,12)]);
# Design 453: autom. group order 2, simple
B[453]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,10,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,7,8,13],[1,4,7,9,11,13],[1,5,6,10,11,12],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,7,10,12],[2,4,6,9,11,12],[2,5,6,8,11,13],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,8,10,12,13]];
G[453]:=Group([(1,2)(6,7)(8,10)(12,13)]);
# Design 454: autom. group order 2, simple, derived
B[454]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,10,11],[1,3,6,8,12,13],[1,4,5,9,10,12],[1,4,6,9,11,13],[1,4,7,10,12,13],[1,5,6,7,9,11],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,7,8,11],[2,4,6,9,10,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,10,11,12],[3,5,7,9,10,13],[4,5,8,10,11,13]];
G[454]:=Group([(1,12)(2,11)(5,9)(6,8)]);
# Design 455: autom. group order 2, simple, derived
B[455]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,8,9,11,12],[1,3,6,8,10,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,4,7,10,11,13],[1,5,6,7,9,12],[1,5,7,8,10,12],[1,6,7,8,11,13],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,6,7,8,12],[2,4,6,9,10,11],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,9,10,13],[3,4,6,7,8,11],[3,4,7,9,12,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,9,10,11],[4,5,8,10,11,12]];
G[455]:=Group([(1,13)(2,12)(5,9)(6,8)]);
# Design 456: autom. group order 2, simple, derived
B[456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,5,6,9,12,13],[4,5,6,8,9,11]];
G[456]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 457: autom. group order 2, simple, derived
B[457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,7,8,10,11],[2,5,7,11,12,13],[2,5,8,9,10,12],[3,4,7,8,9,11],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,6,9,11,13],[4,5,6,8,9,11]];
G[457]:=Group([(1,2)(5,6)(9,11)(10,12)]);
# Design 458: autom. group order 2, simple, derived
B[458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,9,13],[1,4,5,8,12,13],[1,4,5,10,11,12],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,6,7,11,13],[3,5,6,9,12,13],[4,5,6,8,9,11]];
G[458]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 459: autom. group order 2, simple, derived
B[459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,9,13],[1,4,5,8,12,13],[1,4,5,10,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,4,10,11,12,13],[3,5,6,7,8,10],[3,5,6,7,11,13],[3,5,6,9,12,13],[4,5,6,8,9,11]];
G[459]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 460: autom. group order 2, simple, derived
B[460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,6,8,9,11]];
G[460]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 461: autom. group order 2, simple, derived
B[461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,13],[2,4,6,9,10,11],[2,5,7,8,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,5,6,10,12,13],[4,5,6,8,9,11]];
G[461]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 462: autom. group order 2, simple, derived
B[462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,13],[2,4,6,9,10,11],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,5,6,10,12,13],[4,5,6,8,9,11]];
G[462]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 463: autom. group order 2, simple, derived
B[463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,5,10,12,13],[1,6,7,8,9,10],[1,6,7,8,10,12],[1,6,9,11,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,7,10,13],[3,5,6,8,12,13],[4,5,6,8,9,11]];
G[463]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 464: autom. group order 2, simple, derived
B[464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,5,10,12,13],[1,6,7,8,9,13],[1,6,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,7,8,9,10],[3,4,7,10,11,12],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,7,10,13],[3,5,6,8,12,13],[4,5,6,8,9,11]];
G[464]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 465: autom. group order 2, simple, derived
B[465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,5,9,12,13],[1,6,7,8,9,10],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,8,9,11]];
G[465]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 466: autom. group order 2, simple, derived
B[466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,5,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,8,9,10],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,8,9,11]];
G[466]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 467: autom. group order 2, simple, derived
B[467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,8,13],[1,4,5,9,12,13],[1,4,5,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,9,11,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,10],[3,5,6,7,9,13],[3,5,6,11,12,13],[4,5,6,8,9,11]];
G[467]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 468: autom. group order 2, simple, derived
B[468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,8,13],[1,4,5,9,12,13],[1,4,5,10,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,9,10,11],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,7,8,10],[3,5,6,7,9,13],[3,5,6,11,12,13],[4,5,6,8,9,11]];
G[468]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 469: autom. group order 2, simple, derived
B[469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,8,13],[1,4,5,9,11,12],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,7,10,13],[3,5,6,11,12,13],[4,5,6,8,9,11]];
G[469]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 470: autom. group order 2, simple, derived
B[470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,8,13],[1,4,5,9,11,12],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,8,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,7,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,7,10,13],[3,5,6,11,12,13],[4,5,6,8,9,11]];
G[470]:=Group([(1,3)(4,6)(7,12)(8,11)]);
# Design 471: autom. group order 2, simple, derived
B[471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,9,12],[2,4,6,8,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,5,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[471]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 472: autom. group order 2, simple, derived
B[472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,5,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[472]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 473: autom. group order 2, simple, derived
B[473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,9,12],[2,4,6,8,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[473]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 474: autom. group order 2, simple, derived
B[474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[474]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 475: autom. group order 2, simple, derived
B[475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,12],[2,5,9,10,11,13],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[475]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 476: autom. group order 2, simple, derived
B[476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,5,9,10,11,12],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[476]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 477: autom. group order 2, simple, derived
B[477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,9,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,12],[2,5,9,10,11,13],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[477]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 478: autom. group order 2, simple, derived
B[478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,9,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,5,9,10,11,12],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[478]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 479: autom. group order 2, simple, derived
B[479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[479]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 480: autom. group order 2, simple, derived
B[480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[480]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 481: autom. group order 2, simple, derived
B[481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,5,8,10,11,12],[3,4,6,9,11,13],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[481]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 482: autom. group order 2, simple, derived
B[482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,5,8,10,11,12],[3,4,6,9,11,13],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[482]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 483: autom. group order 2, simple, derived
B[483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,8,11],[2,4,6,9,10,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[483]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 484: autom. group order 2, simple, derived
B[484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,8,11],[2,4,6,9,10,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,5,8,10,11,12],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[484]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 485: autom. group order 2, simple, derived
B[485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,7,8,13],[2,4,6,9,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[485]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 486: autom. group order 2, simple, derived
B[486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[486]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 487: autom. group order 2, simple, derived
B[487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[487]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 488: autom. group order 2, simple, derived
B[488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,9,10,13],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[488]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 489: autom. group order 2, simple, derived
B[489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[489]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 490: autom. group order 2, simple, derived
B[490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[490]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 491: autom. group order 2, simple, derived
B[491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,9,10,13],[2,4,8,9,11,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[491]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 492: autom. group order 2, simple, derived
B[492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,11],[2,4,8,9,11,12],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[492]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 493: autom. group order 2, simple, derived
B[493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,6,8,9,13],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[493]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 494: autom. group order 2, simple, derived
B[494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[494]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 495: autom. group order 2, simple, derived
B[495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[495]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 496: autom. group order 2, simple, derived
B[496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,9,10,13],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[496]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 497: autom. group order 2, simple, derived
B[497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[497]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 498: autom. group order 2, simple, derived
B[498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[498]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 499: autom. group order 2, simple, derived
B[499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,9,10,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[499]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 500: autom. group order 2, simple, derived
B[500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,11],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[500]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 501: autom. group order 2, simple, derived
B[501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,8,11],[3,5,6,8,9,13],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[501]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 502: autom. group order 2, simple, derived
B[502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[502]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 503: autom. group order 2, simple, derived
B[503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[503]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 504: autom. group order 2, simple, derived
B[504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[504]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 505: autom. group order 2, simple, derived
B[505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[505]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 506: autom. group order 2, simple, derived
B[506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[506]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 507: autom. group order 2, simple, derived
B[507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,9,11]];
G[507]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 508: autom. group order 2, simple, derived
B[508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,4,9,10,11,12],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[508]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 509: autom. group order 2, simple, derived
B[509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,7,9,11]];
G[509]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 510: autom. group order 2, simple, derived
B[510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[510]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 511: autom. group order 2, simple, derived
B[511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[511]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 512: autom. group order 2, simple, derived
B[512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[512]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 513: autom. group order 2, simple, derived
B[513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[513]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 514: autom. group order 2, simple, derived
B[514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[514]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 515: autom. group order 2, simple, derived
B[515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,9,11]];
G[515]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 516: autom. group order 2, simple, derived
B[516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[516]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 517: autom. group order 2, simple, derived
B[517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,7,9,11]];
G[517]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 518: autom. group order 2, simple, derived
B[518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,8,10,12],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,11]];
G[518]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 519: autom. group order 2, simple, derived
B[519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,6,9,10,12],[2,4,7,8,9,11],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,5,8,10,12,13],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,7,10,11]];
G[519]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 520: autom. group order 2, simple, derived
B[520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,8,10,12],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,5,8,10,11,12],[3,4,6,8,11,13],[3,4,7,9,11,12],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,11]];
G[520]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 521: autom. group order 2, simple, derived
B[521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,6,9,10,12],[2,4,7,8,9,11],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,5,8,10,11,12],[3,4,6,8,11,13],[3,4,7,9,11,12],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,7,10,11]];
G[521]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 522: autom. group order 2, simple, derived
B[522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,5,8,10,11,13],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[522]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 523: autom. group order 2, simple, derived
B[523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,5,8,10,11,12],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[523]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 524: autom. group order 2, simple, derived
B[524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,6,9,10,11],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,5,8,10,11,13],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[524]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 525: autom. group order 2, simple, derived
B[525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,6,9,10,11],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,5,8,10,11,12],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[525]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 526: autom. group order 2, simple, derived
B[526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[526]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 527: autom. group order 2, simple, derived
B[527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,12],[2,4,7,10,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[527]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 528: autom. group order 2, simple, derived
B[528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[528]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 529: autom. group order 2, simple, derived
B[529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[529]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 530: autom. group order 2, simple, derived
B[530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[530]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 531: autom. group order 2, simple, derived
B[531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[531]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 532: autom. group order 2, simple, derived
B[532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,11],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[532]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 533: autom. group order 2, simple, derived
B[533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,6,7,10,13],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[533]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 534: autom. group order 2, simple, derived
B[534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[534]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 535: autom. group order 2, simple, derived
B[535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,12],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[535]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 536: autom. group order 2, simple, derived
B[536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[536]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 537: autom. group order 2, simple, derived
B[537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[537]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 538: autom. group order 2, simple, derived
B[538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[538]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 539: autom. group order 2, simple, derived
B[539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[539]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 540: autom. group order 2, simple, derived
B[540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,11],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[540]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 541: autom. group order 2, simple, derived
B[541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,8,11],[3,5,6,7,10,13],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[541]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 542: autom. group order 2, simple, derived
B[542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[542]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 543: autom. group order 2, simple, derived
B[543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[543]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 544: autom. group order 2, simple, derived
B[544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[544]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 545: autom. group order 2, simple, derived
B[545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[545]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 546: autom. group order 2, simple, derived
B[546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[546]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 547: autom. group order 2, simple, derived
B[547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[547]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 548: autom. group order 2, simple, derived
B[548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,5,8,10,11,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[548]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 549: autom. group order 2, simple, derived
B[549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,5,8,10,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[549]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 550: autom. group order 2, simple, derived
B[550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,5,9,10,11,13],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[550]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 551: autom. group order 2, simple, derived
B[551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,5,9,10,11,12],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[551]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 552: autom. group order 2, simple, derived
B[552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,5,9,10,11,13],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[552]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 553: autom. group order 2, simple, derived
B[553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[553]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 554: autom. group order 2, simple, derived
B[554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,5,9,10,12,13],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[554]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 555: autom. group order 2, simple, derived
B[555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[555]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 556: autom. group order 2, simple, derived
B[556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[556]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 557: autom. group order 2, simple, derived
B[557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[557]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 558: autom. group order 2, simple, derived
B[558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[558]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 559: autom. group order 2, simple, derived
B[559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,9,11],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[559]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 560: autom. group order 2, simple, derived
B[560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,13],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[560]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 561: autom. group order 2, simple, derived
B[561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[561]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 562: autom. group order 2, simple, derived
B[562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[562]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 563: autom. group order 2, simple, derived
B[563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,9,13],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[563]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 564: autom. group order 2, simple, derived
B[564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,5,8,10,11,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[564]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 565: autom. group order 2, simple, derived
B[565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,13],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,5,8,10,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[565]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 566: autom. group order 2, simple, derived
B[566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,11],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,8,10,11,13],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[566]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 567: autom. group order 2, simple, derived
B[567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,11],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,8,10,11,12],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[567]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 568: autom. group order 2, simple, derived
B[568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,5,8,10,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[568]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 569: autom. group order 2, simple, derived
B[569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,5,8,10,11,12],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[569]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 570: autom. group order 2, simple, derived
B[570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[570]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 571: autom. group order 2, simple, derived
B[571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,5,8,10,12,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[571]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 572: autom. group order 2, simple, derived
B[572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,5,8,10,11,12],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[572]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 573: autom. group order 2, simple, derived
B[573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,5,8,10,11,12],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,6,9,10,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[573]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 574: autom. group order 2, simple, derived
B[574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,5,7,8,11,13],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[574]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 575: autom. group order 2, simple, derived
B[575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,5,7,8,11,12],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[575]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 576: autom. group order 2, simple, derived
B[576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,5,7,8,11,13],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[576]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 577: autom. group order 2, simple, derived
B[577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,5,7,8,11,12],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[577]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 578: autom. group order 2, simple, derived
B[578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,5,7,8,12,13],[3,4,6,7,8,13],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[578]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 579: autom. group order 2, simple, derived
B[579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,5,7,8,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[579]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 580: autom. group order 2, simple, derived
B[580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,5,7,8,11,12],[3,4,6,7,8,13],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[580]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 581: autom. group order 2, simple, derived
B[581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,5,7,8,11,12],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[581]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 582: autom. group order 2, simple, derived
B[582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[582]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 583: autom. group order 2, simple, derived
B[583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,5,7,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[583]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 584: autom. group order 2, simple, derived
B[584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,5,7,9,10,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[584]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 585: autom. group order 2, simple, derived
B[585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,8,10,11],[2,5,7,8,11,12],[2,5,7,9,10,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[585]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 586: autom. group order 2, simple, derived
B[586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,5,7,9,10,11],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[586]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 587: autom. group order 2, simple, derived
B[587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,5,7,9,10,11],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[587]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 588: autom. group order 2, simple, derived
B[588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,4,8,10,12,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,5,7,9,10,11],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[588]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 589: autom. group order 2, simple, derived
B[589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,5,7,9,10,11],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[589]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 590: autom. group order 2, simple, derived
B[590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[590]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 591: autom. group order 2, simple, derived
B[591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,5,7,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[591]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 592: autom. group order 2, simple, derived
B[592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,5,7,9,10,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[592]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 593: autom. group order 2, simple, derived
B[593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,8,11,12],[2,5,7,9,10,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[593]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 594: autom. group order 2, simple, derived
B[594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,5,7,9,10,11],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[594]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 595: autom. group order 2, simple, derived
B[595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,5,7,9,10,11],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[595]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 596: autom. group order 2, simple, derived
B[596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,5,7,9,10,11],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[596]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 597: autom. group order 2, simple, derived
B[597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,5,7,9,10,11],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[597]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 598: autom. group order 2, simple, derived
B[598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,11],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[598]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 599: autom. group order 2, simple, derived
B[599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,11],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,5,7,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[599]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 600: autom. group order 2, simple, derived
B[600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,8,10,11],[2,5,7,8,10,12],[2,5,7,9,11,13],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[600]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 601: autom. group order 2, simple, derived
B[601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,8,10,12],[2,5,7,9,11,12],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[601]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 602: autom. group order 2, simple, derived
B[602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[602]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 603: autom. group order 2, simple, derived
B[603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[3,4,6,7,9,12],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[603]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 604: autom. group order 2, simple, derived
B[604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[604]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 605: autom. group order 2, simple, derived
B[605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,9,10,13],[3,5,7,8,12,13],[4,5,6,8,9,11]];
G[605]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 606: autom. group order 2, simple, derived
B[606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,8,10,11,13],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[606]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 607: autom. group order 2, simple, derived
B[607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,8,10,11,12],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,9,10,11,13],[4,5,6,8,9,11]];
G[607]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 608: autom. group order 2, simple, derived
B[608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,5,8,10,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[608]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 609: autom. group order 2, simple, derived
B[609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,5,8,10,11,12],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,7,12,13],[3,5,9,10,11,13],[4,5,6,8,9,11]];
G[609]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 610: autom. group order 2, simple, derived
B[610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[610]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 611: autom. group order 2, simple, derived
B[611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,5,8,10,12,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[611]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 612: autom. group order 2, simple, derived
B[612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,5,8,10,11,12],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,9,10,12,13],[4,5,6,8,9,11]];
G[612]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 613: autom. group order 2, simple, derived
B[613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,5,8,10,11,12],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,7,11,13],[3,5,9,10,12,13],[4,5,6,8,9,11]];
G[613]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 614: autom. group order 2, simple, derived
B[614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,4,7,9,11,12],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,5,9,10,11,13],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[614]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 615: autom. group order 2, simple, derived
B[615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,5,9,10,11,12],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[615]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 616: autom. group order 2, simple, derived
B[616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,12,13],[2,4,7,9,11,12],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,5,9,10,11,13],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[616]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 617: autom. group order 2, simple, derived
B[617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,5,9,10,11,12],[3,4,6,9,10,11],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[617]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 618: autom. group order 2, simple, derived
B[618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,4,7,9,11,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,5,9,10,12,13],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[618]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 619: autom. group order 2, simple, derived
B[619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,11,13],[2,4,7,9,11,12],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[619]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 620: autom. group order 2, simple, derived
B[620]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[620]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 621: autom. group order 2, simple, derived
B[621]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[621]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 622: autom. group order 2, simple, derived
B[622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[622]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 623: autom. group order 2, simple, derived
B[623]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,5,7,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,9,10,11,13],[4,5,6,8,9,11]];
G[623]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 624: autom. group order 2, simple, derived
B[624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,8,10,11],[2,5,7,8,10,12],[2,5,7,9,11,12],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,7,12,13],[3,5,9,10,11,13],[4,5,6,8,9,11]];
G[624]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 625: autom. group order 2, simple, derived
B[625]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,8,10,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[625]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 626: autom. group order 2, simple, derived
B[626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[3,4,6,7,9,12],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,8,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[626]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 627: autom. group order 2, simple, derived
B[627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,9,10,12,13],[4,5,6,8,9,11]];
G[627]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 628: autom. group order 2, simple, derived
B[628]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,7,11,13],[3,5,9,10,12,13],[4,5,6,8,9,11]];
G[628]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 629: autom. group order 2, simple, derived
B[629]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,4,7,9,11,12],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,5,7,8,11,13],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[629]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 630: autom. group order 2, simple, derived
B[630]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,5,7,8,11,12],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[630]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 631: autom. group order 2, simple, derived
B[631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,4,7,9,11,12],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,5,7,8,12,13],[3,4,6,7,8,13],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[631]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 632: autom. group order 2, simple, derived
B[632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,11,13],[2,4,7,9,11,12],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,5,7,8,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[632]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 633: autom. group order 2, simple, derived
B[633]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,5,7,8,11,12],[3,4,6,7,8,13],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[633]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 634: autom. group order 2, simple, derived
B[634]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,5,7,8,11,12],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[634]:=Group([(2,3)(4,5)(7,10)(8,9)]);
# Design 635: autom. group order 2, simple, derived
B[635]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,5,8,9,12,13],[3,4,6,8,9,13],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[635]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 636: autom. group order 2, simple, derived
B[636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,7,8,11,12],[2,5,8,9,12,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[636]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 637: autom. group order 2, simple, derived
B[637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,12,13],[2,5,8,9,11,12],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[637]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 638: autom. group order 2, simple, derived
B[638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[638]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 639: autom. group order 2, simple, derived
B[639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,5,8,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[639]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 640: autom. group order 2, simple, derived
B[640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[640]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 641: autom. group order 2, simple, derived
B[641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,5,8,9,11,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[641]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 642: autom. group order 2, simple, derived
B[642]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[642]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 643: autom. group order 2, simple, derived
B[643]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[643]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 644: autom. group order 2, simple, derived
B[644]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[644]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 645: autom. group order 2, simple, derived
B[645]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[645]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 646: autom. group order 2, simple, derived
B[646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[646]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 647: autom. group order 2, simple, derived
B[647]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,5,8,9,11,13],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[647]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 648: autom. group order 2, simple, derived
B[648]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,7,10,11,13],[2,5,8,9,11,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[648]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 649: autom. group order 2, simple, derived
B[649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,5,8,9,11,13],[3,4,6,9,10,11],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[649]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 650: autom. group order 2, simple, derived
B[650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[650]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 651: autom. group order 2, simple, derived
B[651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[3,4,6,7,10,13],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[651]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 652: autom. group order 2, simple, derived
B[652]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[652]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 653: autom. group order 2, simple, derived
B[653]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[653]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 654: autom. group order 2, simple, derived
B[654]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[654]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 655: autom. group order 2, simple, derived
B[655]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,5,7,10,11,13],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[655]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 656: autom. group order 2, simple, derived
B[656]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,5,7,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[656]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 657: autom. group order 2, simple, derived
B[657]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,5,7,10,11,13],[3,4,6,7,10,11],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[657]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 658: autom. group order 2, simple, derived
B[658]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,5,7,10,11,12],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[658]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 659: autom. group order 2, simple, derived
B[659]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,5,8,9,12,13],[3,4,6,8,9,13],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[659]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 660: autom. group order 2, simple, derived
B[660]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,10,12],[2,5,7,8,11,12],[2,5,8,9,12,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[660]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 661: autom. group order 2, simple, derived
B[661]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,7,8,12,13],[2,5,8,9,11,12],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[661]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 662: autom. group order 2, simple, derived
B[662]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[662]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 663: autom. group order 2, simple, derived
B[663]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,5,8,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[663]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 664: autom. group order 2, simple, derived
B[664]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,10,13],[2,5,7,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[664]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 665: autom. group order 2, simple, derived
B[665]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,5,8,9,11,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[665]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 666: autom. group order 2, simple, derived
B[666]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[666]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 667: autom. group order 2, simple, derived
B[667]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[667]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 668: autom. group order 2, simple, derived
B[668]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[668]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 669: autom. group order 2, simple, derived
B[669]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[669]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 670: autom. group order 2, simple, derived
B[670]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[670]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 671: autom. group order 2, simple, derived
B[671]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,5,8,9,11,13],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[671]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 672: autom. group order 2, simple, derived
B[672]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,10,11,13],[2,5,8,9,11,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[672]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 673: autom. group order 2, simple, derived
B[673]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,5,8,9,11,13],[3,4,6,9,10,11],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[673]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 674: autom. group order 2, simple, derived
B[674]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[674]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 675: autom. group order 2, simple, derived
B[675]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[3,4,6,7,10,13],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[675]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 676: autom. group order 2, simple, derived
B[676]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[676]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 677: autom. group order 2, simple, derived
B[677]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[677]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 678: autom. group order 2, simple, derived
B[678]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,4,7,8,10,11],[2,5,6,8,9,12],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[678]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 679: autom. group order 2, simple, derived
B[679]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,5,7,10,11,13],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[679]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 680: autom. group order 2, simple, derived
B[680]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,5,7,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[680]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 681: autom. group order 2, simple, derived
B[681]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,5,7,10,11,13],[3,4,6,7,10,11],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[681]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 682: autom. group order 2, simple, derived
B[682]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,4,7,8,10,12],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,5,7,10,11,12],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[682]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 683: autom. group order 2, simple, derived
B[683]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,10,13],[1,3,7,9,11,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,11,12],[3,4,6,8,10,11],[3,4,7,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,9,11,13],[3,5,7,8,12,13],[4,5,6,7,9,10]];
G[683]:=Group([(1,11)(3,12)(4,9)(5,7)]);
# Design 684: autom. group order 2, simple, derived
B[684]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,9,11,13],[1,4,5,9,10,12],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,9,11,12],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,7,10,12,13],[4,5,6,7,8,9]];
G[684]:=Group([(1,11)(3,12)(4,9)(5,7)]);
# Design 685: autom. group order 2, simple
B[685]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,12,13],[1,4,6,9,11,13],[1,5,7,8,10,11],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,6,7,8,9],[3,4,8,9,11,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,9,13],[4,5,6,7,10,11]];
G[685]:=Group([(2,9)(3,13)(4,6)(5,11)(7,10)]);
# Design 686: autom. group order 2, simple
B[686]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,10,12],[1,4,5,9,12,13],[1,4,6,9,11,13],[1,5,7,10,11,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,9,11],[4,5,6,7,8,9]];
G[686]:=Group([(2,9)(3,13)(4,6)(5,11)(7,10)]);
# Design 687: autom. group order 2, simple
B[687]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,10,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[687]:=Group([(1,9)(3,10)(4,12)(6,8)]);
# Design 688: autom. group order 2, simple, derived
B[688]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,9,11,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,8,9]];
G[688]:=Group([(1,10)(2,13)(4,6)(5,7)(8,9)]);
# Design 689: autom. group order 2, simple
B[689]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,5,7,10,11,12],[1,6,7,9,10,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,9,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,8,9]];
G[689]:=Group([(1,10)(2,13)(4,6)(5,7)(8,9)]);
# Design 690: autom. group order 2, simple
B[690]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,10,12],[1,6,8,11,12,13],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,6,7,10,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,9,11]];
G[690]:=Group([(1,10)(2,13)(4,6)(5,7)(9,11)]);
# Design 691: autom. group order 2, simple
B[691]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,5,9,10,11],[1,4,6,11,12,13],[1,5,7,8,9,12],[1,6,7,8,10,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,8,10,12],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,6,8,9,13],[3,5,10,11,12,13],[4,5,6,7,9,12]];
G[691]:=Group([(1,12)(2,9)(3,7)(5,6)(8,11)]);
# Design 692: autom. group order 2, simple
B[692]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,5,7,9,10,11],[1,6,7,8,10,12],[1,6,8,9,12,13],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,7,9,11,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[692]:=Group([(1,11)(2,9)(3,7)(5,6)(10,12)]);
# Design 693: autom. group order 2, simple
B[693]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,12,13],[1,4,5,8,9,11],[1,4,5,11,12,13],[1,4,6,10,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,9,10,12,13],[2,4,5,7,10,13],[2,4,6,8,10,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,7,9,11,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[693]:=Group([(1,12)(2,9)(3,7)(5,6)(10,11)]);
# Design 694: autom. group order 2, simple
B[694]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,9,10,12],[1,4,5,11,12,13],[1,4,6,8,11,13],[1,5,7,8,9,11],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,7,10,13],[2,4,6,8,10,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,9,10,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[694]:=Group([(1,11)(2,9)(3,7)(5,6)(8,12)]);
# Design 695: autom. group order 2, simple
B[695]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,9,11],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,4,8,9,10,12],[3,5,6,7,8,10],[3,5,6,7,9,13],[3,5,9,11,12,13],[4,5,6,7,10,11]];
G[695]:=Group([(2,13)(3,10)(4,6)(5,12)(7,9)]);
# Design 696: autom. group order 2, simple
B[696]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,9,11,12],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,8,9],[3,5,6,8,10,13],[3,5,9,11,12,13],[4,5,6,7,10,11]];
G[696]:=Group([(1,7)(2,10)(3,11)(4,6)(9,12)]);
# Design 697: autom. group order 2, simple
B[697]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,9,11,12],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,6,8,10,13],[3,5,9,11,12,13],[4,5,6,7,10,11]];
G[697]:=Group([(1,7)(2,10)(3,11)(4,6)(9,12)]);
# Design 698: autom. group order 2, simple, derived
B[698]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[698]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 699: autom. group order 2, simple
B[699]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,9,11,12],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,6,7,9,10,11],[1,6,8,11,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[699]:=Group([(1,7)(2,10)(3,11)(4,6)(8,9)]);
# Design 700: autom. group order 2, simple
B[700]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,11,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,7,8,9,12],[1,6,7,9,10,11],[1,6,8,11,12,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,7,8,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[700]:=Group([(1,7)(2,10)(3,11)(4,6)(8,9)]);
# Design 701: autom. group order 2, simple, derived
B[701]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,9,11,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,9,11,12,13],[4,5,6,7,11,12]];
G[701]:=Group([(1,9)(3,10)(4,11)(6,7)]);
# Design 702: autom. group order 2, simple
B[702]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,9,11,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,9,11,12,13],[4,5,6,7,11,12]];
G[702]:=Group([(1,9)(3,10)(4,11)(6,7)]);
# Design 703: autom. group order 2, simple
B[703]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,11,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,9,11,13],[4,5,6,7,8,11]];
G[703]:=Group([(1,9)(3,10)(4,11)(6,7)]);
# Design 704: autom. group order 2, simple, derived
B[704]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,11,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,9,11,13],[4,5,6,7,8,11]];
G[704]:=Group([(1,9)(3,10)(4,11)(6,7)]);
# Design 705: autom. group order 2, simple
B[705]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,8,10,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,11,12,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,8,9],[3,5,6,9,11,13],[3,5,8,10,12,13],[4,5,6,7,10,11]];
G[705]:=Group([(1,10)(2,11)(3,7)(5,6)(8,9)]);
# Design 706: autom. group order 2, simple
B[706]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,12],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,10,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[706]:=Group([(1,10)(2,11)(3,7)(5,6)(9,12)]);
# Design 707: autom. group order 2, simple
B[707]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,11,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,6,8,9,10],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,10,12,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[707]:=Group([(1,10)(2,11)(3,7)(5,6)(9,12)]);
# Design 708: autom. group order 2, simple
B[708]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,12,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,9,10,11,13],[2,4,5,7,12,13],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,6,11,12,13],[3,4,7,8,10,12],[3,4,7,9,10,11],[3,5,6,7,8,10],[3,5,6,8,11,13],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[708]:=Group([(1,9)(2,11)(3,7)(5,6)(8,10)]);
# Design 709: autom. group order 2, simple, derived
B[709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,12,13],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,7,10,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,8,9,11]];
G[709]:=Group([(1,7)(3,8)(5,12)(6,10)]);
# Design 710: autom. group order 2, simple, derived
B[710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,8,11,12,13],[2,3,8,9,11,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,8,9,11]];
G[710]:=Group([(1,7)(3,8)(5,12)(6,10)]);
# Design 711: autom. group order 2, simple
B[711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,8,12,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,10],[3,5,6,9,12,13],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[711]:=Group([(1,9)(3,10)(4,12)(6,8)]);
# Design 712: autom. group order 2, simple, derived
B[712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,10,11,12,13],[1,4,5,7,8,11],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,10],[3,5,7,9,12,13],[4,5,6,7,10,11]];
G[712]:=Group([(2,13)(3,10)(4,6)(5,12)(9,11)]);
# Design 713: autom. group order 2, simple
B[713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,10,11,12,13],[1,4,5,7,8,11],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,10,11]];
G[713]:=Group([(2,13)(3,10)(4,6)(5,12)(9,11)]);
# Design 714: autom. group order 2, simple, derived
B[714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,8,10,11,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,8,10,13],[2,4,5,8,11,13],[2,4,6,9,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,8,9]];
G[714]:=Group([(1,13)(2,10)(4,6)(5,7)(8,9)]);
# Design 715: autom. group order 2, simple
B[715]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,5,8,12,13],[1,4,6,9,10,11],[1,5,8,10,11,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,10,13],[2,4,5,9,11,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,8,9]];
G[715]:=Group([(1,13)(2,10)(4,6)(5,7)(8,9)]);
# Design 716: autom. group order 2, simple, derived
B[716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,12,13],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,4,6,8,11,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,7,9,10,12],[2,3,7,9,11,13],[2,4,5,7,10,12],[2,4,6,8,9,12],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,10,11,12,13],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[716]:=Group([(1,3)(4,6)(7,11)(8,12)]);
# Design 717: autom. group order 2, simple, derived
B[717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,12,13],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,4,6,8,11,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,7,9,10,12],[2,3,7,9,11,13],[2,4,5,7,8,10],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,10,11,12],[2,5,8,9,12,13],[2,6,8,10,11,13],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[717]:=Group([(1,3)(4,6)(7,11)(8,12)]);
# Design 718: autom. group order 2, simple, derived
B[718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,10,12,13],[1,4,5,8,9,13],[1,4,5,10,11,13],[1,4,6,11,12,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,7,9,10,12],[2,3,7,9,11,13],[2,4,5,7,10,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,8,10,11,13],[3,4,6,7,8,13],[3,4,8,9,10,11],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[718]:=Group([(1,3)(4,6)(7,11)(8,12)]);
# Design 719: autom. group order 2, simple, derived
B[719]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,9,11,12,13],[1,4,5,8,10,11],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[1,6,7,8,12,13],[2,3,7,8,10,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,9,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[719]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 720: autom. group order 2, simple
B[720]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,5,8,9,10,11],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,6,9,10,13],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[720]:=Group([(1,13)(2,9)(4,6)(5,8)(7,10)]);
# Design 721: autom. group order 2, simple, derived
B[721]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,10,11,13],[1,4,5,7,8,11],[1,4,5,9,10,13],[1,4,6,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,8,9,12],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,9,11]];
G[721]:=Group([(2,9)(3,13)(4,6)(5,12)(10,11)]);
# Design 722: autom. group order 2, simple
B[722]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,9,13],[1,4,5,8,10,12],[1,4,6,9,11,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,7,8,10,11],[2,4,7,9,10,12],[2,5,6,7,8,11],[2,5,6,10,12,13],[2,6,8,9,10,13],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,8,11,12,13],[3,5,6,7,8,13],[3,5,7,9,11,12],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[722]:=Group([(1,7)(2,12)(3,9)(4,6)(10,11)]);
# Design 723: autom. group order 2, simple
B[723]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,8,11,12],[1,4,5,9,12,13],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[1,6,8,10,11,13],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,7,8,9,11],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,8,9,10,12],[3,4,6,7,12,13],[3,4,6,8,9,10],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[723]:=Group([(1,9)(2,7)(3,11)(5,6)(10,12)]);
# Design 724: autom. group order 2, simple, derived
B[724]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,10],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,8,9,10,11,12],[2,3,8,9,11,13],[2,4,5,8,11,12],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[724]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 725: autom. group order 2, simple, derived
B[725]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,8,9,10,11,12],[2,3,8,9,11,13],[2,4,5,8,10,11],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[725]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 726: autom. group order 2, simple, derived
B[726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,10],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,9,12,13],[1,6,8,9,10,11],[1,7,8,10,11,12],[2,3,8,9,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[726]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 727: autom. group order 2, simple, derived
B[727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,9,10,13],[1,6,8,9,10,11],[1,7,8,10,11,12],[2,3,8,9,11,13],[2,4,5,8,10,11],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[727]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 728: autom. group order 2, simple
B[728]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,10],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,8,11,12],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[728]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 729: autom. group order 2, simple
B[729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,8,9,11,13],[2,4,5,9,10,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[729]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 730: autom. group order 2, simple
B[730]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,10],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,7,9,10,12,13],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[730]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 731: autom. group order 2, simple
B[731]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,12],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[1,7,9,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[731]:=Group([(1,13)(2,8)(4,11)(7,9)]);
# Design 732: autom. group order 2, simple, derived
B[732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,7,8,10,11,13],[2,3,8,11,12,13],[2,4,5,7,11,13],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,8,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,11]];
G[732]:=Group([(1,9)(3,10)(4,11)(6,8)]);
# Design 733: autom. group order 2, simple, derived
B[733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,8,12,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,9,11]];
G[733]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 734: autom. group order 2, simple
B[734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,5,8,9,11,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,8,9,10,12],[2,4,5,9,11,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,6,7,9,12]];
G[734]:=Group([(1,8)(3,7)(5,13)(6,10)(9,11)]);
# Design 735: autom. group order 2, simple
B[735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,7,9,10]];
G[735]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 736: autom. group order 2, simple, derived
B[736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,9,12,13],[3,5,7,8,10,11],[4,5,6,7,9,10]];
G[736]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 737: autom. group order 2, simple
B[737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,8,9,11,13],[1,6,9,10,12,13],[1,7,8,10,11,12],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,8,9,10],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,7,8,9,13],[4,5,6,8,10,11]];
G[737]:=Group([(1,5)(2,13)(3,8)(4,9)(6,11)]);
# Design 738: autom. group order 2, simple
B[738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,6,8,10,12],[3,5,7,9,10,11],[4,5,6,8,9,11]];
G[738]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 739: autom. group order 2, simple
B[739]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,9,10,12,13],[2,4,5,9,11,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,10,11,13],[4,5,6,9,11,12]];
G[739]:=Group([(1,13)(3,11)(5,8)(6,10)(7,9)]);
# Design 740: autom. group order 2, simple
B[740]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,13],[1,5,7,10,12,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,6,8,10,11]];
G[740]:=Group([(1,7)(3,8)(5,12)(6,9)(10,13)]);
# Design 741: autom. group order 2, simple, derived
B[741]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,12,13],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,7,10,11,13],[1,6,8,9,11,12],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,4,5,10,11,12],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,12]];
G[741]:=Group([(1,13)(3,8)(4,12)]);
# Design 742: autom. group order 2, simple, derived
B[742]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,10,11,12,13],[2,6,7,9,10,11],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[742]:=Group([(1,13)(2,7)(4,12)]);
# Design 743: autom. group order 2, simple, derived
B[743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[743]:=Group([(1,13)(2,7)(4,12)]);
# Design 744: autom. group order 2, simple, derived
B[744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,10,11,13],[1,6,8,9,11,12],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,4,5,10,11,12],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,8,9]];
G[744]:=Group([(1,13)(3,8)(4,12)]);
# Design 745: autom. group order 2, simple, derived
B[745]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,7,8,10,11],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,10,11]];
G[745]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 746: autom. group order 2, simple
B[746]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,8,10,12],[1,5,7,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,6,9,11,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[746]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 747: autom. group order 2, simple
B[747]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,7,10,11,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[747]:=Group([(1,5)(2,12)(3,7)(4,10)(6,11)]);
# Design 748: autom. group order 2, simple, derived
B[748]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,8,10,12],[1,5,7,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,8,10,12,13],[4,5,6,7,9,11]];
G[748]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 749: autom. group order 2, simple, derived
B[749]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,9,11,13]];
G[749]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 750: autom. group order 2, simple, derived
B[750]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,7,8,11,12],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,9,11,13]];
G[750]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 751: autom. group order 2, simple, derived
B[751]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,9,11,13]];
G[751]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 752: autom. group order 2, simple, derived
B[752]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,8,9,11]];
G[752]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 753: autom. group order 2, simple
B[753]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,8,10,12],[1,5,7,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,6,8,9,10]];
G[753]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 754: autom. group order 2, simple, derived
B[754]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[754]:=Group([(1,13)(3,12)(4,9)(6,8)]);
# Design 755: autom. group order 2, simple, derived
B[755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,9,11,12],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,4,5,7,11,12],[2,4,6,9,11,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[755]:=Group([(1,13)(2,7)(4,12)]);
# Design 756: autom. group order 2, simple
B[756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,9,11,12,13],[1,6,7,8,9,12],[1,7,8,10,11,13],[2,3,7,9,12,13],[2,4,5,7,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,9,10,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[756]:=Group([(1,10)(3,9)(4,8)(6,11)(7,12)]);
# Design 757: autom. group order 2, simple
B[757]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,7,8,12,13],[2,4,5,8,11,12],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,10],[3,5,6,9,12,13],[3,5,8,10,11,13],[4,5,6,7,11,12]];
G[757]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 758: autom. group order 2, simple
B[758]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,8,10],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,7,8,12,13],[2,4,5,8,11,12],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,11,12]];
G[758]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 759: autom. group order 2, simple, derived
B[759]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,8,10],[1,4,5,9,12,13],[1,4,6,10,11,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,7,8,12,13],[2,4,5,8,11,12],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,12,13]];
G[759]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 760: autom. group order 2, simple, derived
B[760]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,7,9,10,12],[2,4,5,8,11,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,6,7,9,12]];
G[760]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 761: autom. group order 2, simple
B[761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,7,8,10,11,12],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,8,11,12],[3,4,7,8,9,10],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,9,10,11]];
G[761]:=Group([(1,13)(3,10)(5,12)(8,9)]);
# Design 762: autom. group order 2, simple
B[762]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,7,9,10,11,12],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,8,11,12],[3,4,7,8,9,10],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,9,10,11]];
G[762]:=Group([(1,13)(3,10)(5,12)(8,9)]);
# Design 763: autom. group order 2, simple, derived
B[763]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,7,8,10],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,7,8,10,11,12],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,9,10,11]];
G[763]:=Group([(1,13)(3,10)(5,12)(8,9)]);
# Design 764: autom. group order 2, simple, derived
B[764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,7,8,10],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,7,9,10,11,12],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,9,10,11]];
G[764]:=Group([(1,13)(3,10)(5,12)(8,9)]);
# Design 765: autom. group order 2, simple, derived
B[765]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,8,10,11]];
G[765]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 766: autom. group order 2, simple, derived
B[766]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,8,12,13]];
G[766]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 767: autom. group order 2, simple, derived
B[767]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,7,9,10,11,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,8,11,13]];
G[767]:=Group([(1,12)(3,13)(4,9)(6,7)]);
# Design 768: autom. group order 2, simple
B[768]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,12,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,5,9,11,12,13],[4,5,6,7,10,11]];
G[768]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 769: autom. group order 2, simple
B[769]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,7,8,9,13],[2,4,5,8,10,11],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,8,10,11,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,10,11,12,13],[4,5,6,7,9,11]];
G[769]:=Group([(1,11)(2,9)(3,7)(8,13)(10,12)]);
# Design 770: autom. group order 2, simple
B[770]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,8,12],[1,5,7,9,12,13],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,6,9,11,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[770]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 771: autom. group order 2, simple
B[771]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,4,6,7,8,12],[1,5,7,9,12,13],[1,6,8,9,10,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,8,9,11],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,8,11,12,13],[3,4,6,9,11,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[771]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 772: autom. group order 2, simple
B[772]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,8,10,12],[1,4,5,8,11,13],[1,4,6,7,12,13],[1,5,7,9,12,13],[1,6,8,9,10,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,8,9,12],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,8,11,12,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[772]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 773: autom. group order 2, simple
B[773]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,6,7,10,13],[1,5,7,10,12,13],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,8,10,11,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,9,10,12,13],[3,5,6,7,8,10],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[773]:=Group([(1,11)(2,9)(3,7)(8,13)(10,12)]);
# Design 774: autom. group order 2, simple, derived
B[774]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,7,9,10,13],[2,4,5,8,11,12],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,7,12,13],[3,5,8,9,11,13],[4,5,6,7,9,10]];
G[774]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 775: autom. group order 2, simple, derived
B[775]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,7,9,12,13],[2,4,5,8,11,12],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,8,10,11,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[775]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 776: autom. group order 2, simple, derived
B[776]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,7,10,11,13],[2,4,5,8,9,12],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,8,9,10,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,7,12,13],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[776]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 777: autom. group order 2, simple, derived
B[777]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,7,11,12,13],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,7,10,13],[3,5,8,9,11,13],[4,5,6,7,11,12]];
G[777]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 778: autom. group order 2, simple, derived
B[778]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,7,9,10,13],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,8,9,11,13],[4,5,6,7,9,10]];
G[778]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 779: autom. group order 2, simple, derived
B[779]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,7,9,12,13],[2,4,5,8,10,11],[2,4,6,11,12,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,6,8,9,10,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[779]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 780: autom. group order 2, simple, derived
B[780]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,10],[2,6,8,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,4,7,9,12,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[780]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 781: autom. group order 2, simple, derived
B[781]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,7,11,12,13],[2,4,5,8,10,11],[2,4,6,9,12,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,11,13],[4,5,6,7,11,12]];
G[781]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 782: autom. group order 2, simple, derived
B[782]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,8,9,10,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,8,9,12,13],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,8,9,10]];
G[782]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 783: autom. group order 2, simple, derived
B[783]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,8,9,12,13],[2,4,5,8,10,11],[2,4,6,7,10,12],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,6,11,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[4,5,6,8,9,12]];
G[783]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 784: autom. group order 2, simple, derived
B[784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,8,9,12,13],[3,4,6,9,10,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,7,11,13],[3,5,7,8,9,10],[4,5,6,8,10,11]];
G[784]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 785: autom. group order 2, simple, derived
B[785]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,8,11,12,13],[2,4,5,8,10,11],[2,4,6,7,10,12],[2,4,7,9,11,12],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,8,11,12]];
G[785]:=Group([(2,7)(3,8)(5,13)(9,11)]);
# Design 786: autom. group order 2, simple, derived
B[786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,8,9,10,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,7,10,12,13],[2,6,8,10,11,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,8,9,10]];
G[786]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 787: autom. group order 2, simple, derived
B[787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,10,12,13],[2,6,8,10,11,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,6,8,11,13],[3,5,7,8,9,10],[4,5,6,8,9,12]];
G[787]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 788: autom. group order 2, simple, derived
B[788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,8,10,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,8,9,11,12],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,8,10,11]];
G[788]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 789: autom. group order 2, simple, derived
B[789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,8,11,12,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,11,12]];
G[789]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 790: autom. group order 2, simple, derived
B[790]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,11,12,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,7,8,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,7,8,10,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,6,7,9,11]];
G[790]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 791: autom. group order 2, simple
B[791]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,11],[2,4,6,8,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,6,7,9,10]];
G[791]:=Group([(1,13)(2,7)(4,12)(8,10)]);
# Design 792: autom. group order 2, simple
B[792]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,4,6,7,8,12],[1,5,8,11,12,13],[1,6,7,9,10,11],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,11],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,6,7,9,10]];
G[792]:=Group([(1,13)(2,7)(4,12)(8,10)]);
# Design 793: autom. group order 2, simple
B[793]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,10,12],[1,5,10,11,12,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,6,7,9,10]];
G[793]:=Group([(1,13)(2,7)(4,12)(8,10)]);
# Design 794: autom. group order 2, simple
B[794]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,8,12],[1,5,10,11,12,13],[1,6,7,9,10,11],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,10,11],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,8,9,11,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,6,7,9,10]];
G[794]:=Group([(1,13)(2,7)(4,12)(8,10)]);
# Design 795: autom. group order 2, simple
B[795]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,8,11,12],[2,4,5,7,10,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,9,11,12,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,8,9,10,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,6,7,11,12]];
G[795]:=Group([(2,11)(3,13)(5,8)(7,9)]);
# Design 796: autom. group order 2, simple
B[796]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,8,10,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,11],[3,5,6,7,11,12],[3,5,9,10,11,13],[4,5,6,7,10,13]];
G[796]:=Group([(2,11)(3,13)(5,8)(7,9)]);
# Design 797: autom. group order 2, simple, derived
B[797]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,8,9,10,11],[4,5,6,7,11,12]];
G[797]:=Group([(1,13)(3,12)(4,9)(6,8)(7,10)]);
# Design 798: autom. group order 2, simple, derived
B[798]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[798]:=Group([(1,13)(3,12)(4,9)(6,8)(7,10)]);
# Design 799: autom. group order 2, simple, derived
B[799]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,8,10],[2,4,9,10,12,13],[2,5,6,8,11,12],[2,5,7,10,11,13],[2,6,8,9,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,7,8,9,13],[4,5,6,9,10,11]];
G[799]:=Group([(2,11)(3,13)(5,8)(7,9)]);
# Design 800: autom. group order 2, simple
B[800]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,8,9,11,12],[2,4,5,7,10,13],[2,4,6,7,8,12],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,11,12,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,6,9,11,12]];
G[800]:=Group([(2,11)(3,13)(5,8)(7,9)]);
# Design 801: autom. group order 2, simple
B[801]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,6,7,8,10],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,9,10,13]];
G[801]:=Group([(2,11)(3,13)(5,8)(7,9)]);
# Design 802: autom. group order 2, simple
B[802]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,8,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,8,9,11,13],[1,6,8,10,12,13],[1,7,9,10,11,12],[2,3,7,9,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[802]:=Group([(1,8)(3,7)(5,10)(6,11)(9,12)]);
# Design 803: autom. group order 2, simple
B[803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,8,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,8,11,12,13],[1,6,8,9,10,13],[1,7,9,10,11,12],[2,3,7,9,12,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,8,10,11],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[803]:=Group([(1,8)(3,7)(5,10)(6,11)(9,12)]);
# Design 804: autom. group order 2, simple, derived
B[804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,11,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,8,9,11,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,9,10,11]];
G[804]:=Group([(1,7)(3,8)(5,11)(6,9)]);
# Design 805: autom. group order 2, simple
B[805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,11,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,9,12,13],[1,8,9,10,11,12],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,8,11,12,13],[4,5,6,9,10,11]];
G[805]:=Group([(1,7)(3,8)(5,11)(6,9)]);
# Design 806: autom. group order 2, simple, derived
B[806]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,11,12,13],[1,3,6,7,11,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,8,9,10,11,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,9,11,12]];
G[806]:=Group([(1,7)(3,8)(5,11)(6,9)]);
# Design 807: autom. group order 2, simple
B[807]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,11,12,13],[1,3,6,7,11,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,7,11,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,8,10,11,13],[4,5,6,9,11,12]];
G[807]:=Group([(1,7)(3,8)(5,11)(6,9)]);
# Design 808: autom. group order 2, simple, derived
B[808]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,8,10,13],[1,5,7,9,12,13],[1,6,8,9,11,12],[1,7,8,9,10,11],[2,3,7,8,11,13],[2,4,5,8,11,12],[2,4,6,9,12,13],[2,4,7,9,10,13],[2,5,6,7,8,9],[2,5,10,11,12,13],[2,6,7,8,10,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,13],[4,5,6,7,9,11]];
G[808]:=Group([(1,13)(2,8)(4,11)]);
# Design 809: autom. group order 2, simple, derived
B[809]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,7,8,9,11],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[809]:=Group([(1,12)(3,13)(5,7)(6,9)(8,10)]);
# Design 810: autom. group order 2, simple, derived
B[810]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,9,11],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,8,9,12,13],[4,5,6,10,11,13]];
G[810]:=Group([(1,12)(3,13)(5,7)(6,9)(8,10)]);
# Design 811: autom. group order 2, simple, derived
B[811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,7,8,10,11,12],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,8,11,12],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,7,9,11,13],[2,6,7,8,9,10],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,9,10,11]];
G[811]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 812: autom. group order 2, simple, derived
B[812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,7,9,10,11,12],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,8,11,12],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,9,10,11]];
G[812]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 813: autom. group order 2, simple, derived
B[813]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,7,8,9,13],[2,4,5,7,11,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[3,5,9,10,12,13],[4,5,6,7,9,13]];
G[813]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 814: autom. group order 2, simple
B[814]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,7,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,6,8,10,11],[3,4,7,9,11,12],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[3,5,10,11,12,13],[4,5,6,7,11,13]];
G[814]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 815: autom. group order 2, simple
B[815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,9,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,9,10,11,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,11,12,13],[4,5,6,7,9,12]];
G[815]:=Group([(1,10)(3,9)(4,13)(6,8)(7,11)]);
# Design 816: autom. group order 2, simple
B[816]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,9,12,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,7,8,12,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,8,9,10,12],[4,5,6,7,11,12]];
G[816]:=Group([(1,13)(3,11)(4,10)(6,8)(7,9)]);
# Design 817: autom. group order 2, simple
B[817]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,7,8,9,12],[2,4,5,7,11,13],[2,4,6,8,9,10],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,9,10,12,13],[2,6,8,10,11,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,12],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[817]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 818: autom. group order 2, simple
B[818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,7,8,9],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,8,10,11,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,9,10,12]];
G[818]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 819: autom. group order 2, simple, derived
B[819]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,11,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[3,5,7,9,11,13],[4,5,6,7,10,12]];
G[819]:=Group([(1,10)(3,9)(6,13)(7,12)(8,11)]);
# Design 820: autom. group order 2, simple, derived
B[820]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,11,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,7,8,9,13],[3,5,7,8,10,11],[4,5,6,7,10,12]];
G[820]:=Group([(1,10)(3,9)(6,13)(7,12)(8,11)]);
# Design 821: autom. group order 2, simple, derived
B[821]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,11],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,7,8,9,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,7,8,10,12],[3,5,7,9,10,11],[4,5,6,8,9,11]];
G[821]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 822: autom. group order 2, simple, derived
B[822]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[1,8,9,10,11,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,5,7,10,11,12],[4,5,6,8,10,11]];
G[822]:=Group([(1,10)(3,9)(6,13)(7,12)(8,11)]);
# Design 823: autom. group order 2, simple, derived
B[823]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[1,8,9,10,11,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,10,11]];
G[823]:=Group([(1,10)(3,9)(6,13)(7,12)(8,11)]);
# Design 824: autom. group order 2, simple, derived
B[824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,8,10,12],[1,5,7,11,12,13],[1,6,9,10,11,12],[1,7,8,9,10,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,6,7,8,9,11],[3,4,6,7,12,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,8,9,10]];
G[824]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 825: autom. group order 2, simple
B[825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,7,8,13],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,7,9,12,13],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,7,9,12,13],[2,4,8,9,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,10,11,13],[3,4,6,7,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,9,12],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,8,9,11]];
G[825]:=Group([(1,11)(2,8)(3,9)(7,12)(10,13)]);
# Design 826: autom. group order 2, simple
B[826]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,7,8,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,7,9,10,12],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,7,9,12,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,7,10,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,9,12],[3,5,7,11,12,13],[3,5,8,9,11,13],[4,5,6,8,9,11]];
G[826]:=Group([(1,11)(2,8)(3,9)(7,12)(10,13)]);
# Design 827: autom. group order 2, simple
B[827]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,8,10,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[1,7,8,9,10,11],[2,3,8,9,10,13],[2,4,5,7,11,13],[2,4,7,9,10,12],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,10,11,12,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,5,6,7,9,12],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,8,9,11]];
G[827]:=Group([(1,11)(2,8)(3,9)(7,12)(10,13)]);
# Design 828: autom. group order 2, simple
B[828]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,10,13],[1,7,8,9,10,11],[2,3,8,9,10,13],[2,4,5,7,10,11],[2,4,7,9,12,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,10,11,12,13],[3,4,6,7,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,9,12],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,8,9,11]];
G[828]:=Group([(1,11)(2,8)(3,9)(7,12)(10,13)]);
# Design 829: autom. group order 2, simple, derived
B[829]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[1,7,9,10,11,13],[2,3,7,8,10,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,5,8,10,11,12],[4,5,6,7,10,11]];
G[829]:=Group([(1,10)(3,9)(6,13)(7,11)(8,12)]);
# Design 830: autom. group order 2, simple, derived
B[830]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[1,7,9,10,11,13],[2,3,7,8,10,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,5,8,10,11,12],[4,5,6,7,10,11]];
G[830]:=Group([(1,10)(3,9)(6,13)(7,11)(8,12)]);
# Design 831: autom. group order 2, simple
B[831]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,11],[1,4,5,7,10,12],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,10,12,13],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,11,13],[2,4,7,9,11,12],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,7,12,13],[2,6,8,10,11,13],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[831]:=Group([(1,11)(2,7)(3,9)(8,12)(10,13)]);
# Design 832: autom. group order 2, simple
B[832]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,11],[1,4,5,7,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,10,12,13],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,10,11],[2,4,7,9,11,12],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,6,7,10,12],[2,6,8,10,11,13],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,4,7,8,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[832]:=Group([(1,11)(2,7)(3,9)(8,12)(10,13)]);
# Design 833: autom. group order 2, simple, derived
B[833]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,6,9,10,13],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,8,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,6,12,13],[2,4,6,8,9,11],[2,4,9,10,11,13],[2,5,7,8,9,10],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[833]:=Group([(2,11)(3,12)(4,9)(6,8)]);
# Design 834: autom. group order 2, simple
B[834]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,7,10,12],[1,4,5,8,9,13],[1,4,7,8,10,11],[1,5,8,11,12,13],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,6,12,13],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,8,9,10],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,9,11]];
G[834]:=Group([(1,10)(2,13)(5,11)(6,9)(8,12)]);
# Design 835: autom. group order 2, simple
B[835]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,7,8,10],[1,4,5,9,12,13],[1,4,7,10,11,12],[1,5,8,11,12,13],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,6,12,13],[2,4,6,8,10,11],[2,4,8,9,11,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,9,11]];
G[835]:=Group([(1,10)(2,13)(5,11)(6,9)(8,12)]);
# Design 836: autom. group order 2, simple
B[836]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,9,11,12,13],[1,6,7,8,9,12],[1,6,8,10,12,13],[2,3,7,9,12,13],[2,4,5,6,12,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,7,9,10,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,7,9,11]];
G[836]:=Group([(1,10)(3,9)(4,8)(6,11)(7,12)]);
# Design 837: autom. group order 2, simple
B[837]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,13],[1,4,5,7,10,11],[1,4,5,8,9,11],[1,4,7,10,12,13],[1,5,8,10,12,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,7,10,11,12],[2,4,5,6,12,13],[2,4,6,9,10,13],[2,4,7,8,9,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,9,10],[3,5,6,8,11,13],[3,5,7,9,12,13],[4,5,6,7,11,12]];
G[837]:=Group([(1,8)(3,7)(5,9)(6,13)(10,12)]);
# Design 838: autom. group order 2, simple, derived
B[838]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,8,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,7,10,11,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,6,8,10,11],[2,4,8,9,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,6,11,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[838]:=Group([(2,11)(3,12)(5,7)(6,10)]);
# Design 839: autom. group order 2, simple, derived
B[839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,6,8,10,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,7,8,9,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,7,11,12]];
G[839]:=Group([(1,9)(3,10)(4,12)(6,11)]);
# Design 840: autom. group order 2, simple
B[840]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,4,6,9,10,13],[2,5,6,7,8,11],[2,5,9,10,11,12],[2,7,8,9,10,12],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,7,11,12]];
G[840]:=Group([(1,9)(3,10)(4,12)(6,11)]);
# Design 841: autom. group order 2, simple, derived
B[841]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,8,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,7,10,11,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,6,9,11,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,6,7,12,13],[3,4,7,8,9,10],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[841]:=Group([(2,12)(3,11)(5,7)(6,10)]);
# Design 842: autom. group order 2, simple, derived
B[842]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,5,9,10,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,9,11,12],[2,5,8,10,11,13],[2,7,9,10,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,7,10,11]];
G[842]:=Group([(1,12)(3,13)(5,7)]);
# Design 843: autom. group order 2, simple, derived
B[843]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,9,11,12],[2,5,8,10,11,13],[2,7,9,10,12,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[843]:=Group([(1,12)(3,13)(5,7)]);
# Design 844: autom. group order 2, simple
B[844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,7,9,10,12,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,7,10,13]];
G[844]:=Group([(1,9)(3,10)(4,12)(6,11)(8,13)]);
# Design 845: autom. group order 2, simple
B[845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,7,9,10,12,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,7,11,12]];
G[845]:=Group([(1,9)(3,10)(4,12)(6,11)(8,13)]);
# Design 846: autom. group order 2, simple, derived
B[846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,7,9,10,12,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,7,10,13]];
G[846]:=Group([(1,9)(3,10)(4,12)(6,11)(8,13)]);
# Design 847: autom. group order 2, simple, derived
B[847]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,7,9,10,12,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,7,11,12]];
G[847]:=Group([(1,9)(3,10)(4,12)(6,11)(8,13)]);
# Design 848: autom. group order 2, simple
B[848]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,8,9,10,13],[1,5,7,8,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,7,9,10,11,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11]];
G[848]:=Group([(1,10)(3,9)(4,12)(6,13)(8,11)]);
# Design 849: autom. group order 2, simple, derived
B[849]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,7,8,10,11],[2,4,5,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,8,10,12,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[4,5,6,7,10,11]];
G[849]:=Group([(1,12)(3,13)(5,7)(8,9)]);
# Design 850: autom. group order 2, simple, derived
B[850]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,7,8,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,8,9,12],[2,5,10,11,12,13],[2,7,8,9,10,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[850]:=Group([(1,13)(2,7)(4,12)]);
# Design 851: autom. group order 2, simple, derived
B[851]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,7,10,11,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,7,8,9,10,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[851]:=Group([(1,13)(2,7)(4,12)]);
# Design 852: autom. group order 2, simple, derived
B[852]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,7,8,9,12,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[852]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 853: autom. group order 2, simple, derived
B[853]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,5,9,10,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,7,9,10,12,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,10,11,13]];
G[853]:=Group([(1,12)(3,13)(5,7)]);
# Design 854: autom. group order 2, simple, derived
B[854]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,7,11,13],[2,4,6,8,9,10],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,7,10,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,9,11,13],[4,5,6,8,11,12]];
G[854]:=Group([(1,13)(3,12)(4,9)]);
# Design 855: autom. group order 2, simple
B[855]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,8,9,10]];
G[855]:=Group([(1,7)(3,8)(5,12)(10,13)]);
# Design 856: autom. group order 2, simple
B[856]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,8,9,13]];
G[856]:=Group([(1,7)(3,8)(5,12)(10,13)]);
# Design 857: autom. group order 2, simple
B[857]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,8,10,11]];
G[857]:=Group([(1,7)(3,8)(5,12)(10,13)]);
# Design 858: autom. group order 2, simple
B[858]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,10],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,8,11,13]];
G[858]:=Group([(1,7)(3,8)(5,12)(10,13)]);
# Design 859: autom. group order 2, simple, derived
B[859]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,4,6,9,10,13],[2,5,6,7,8,11],[2,5,9,10,11,12],[2,7,8,9,10,12],[3,4,6,7,9,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,8,11,12]];
G[859]:=Group([(1,9)(3,10)(4,12)(6,11)]);
# Design 860: autom. group order 2, simple, derived
B[860]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,7,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,7,8,10,13],[2,4,5,7,11,12],[2,4,6,8,11,12],[2,4,6,9,10,13],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,8,9,10,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,11,12,13],[3,5,7,8,9,12],[4,5,6,7,8,9]];
G[860]:=Group([(1,11)(3,12)(5,8)]);
# Design 861: autom. group order 2, simple
B[861]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,8,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,9,11,12,13],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,6,7,9,12],[2,4,6,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,7,8,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,8,10,11]];
G[861]:=Group([(1,4)(2,13)(3,10)(5,7)(6,11)]);
# Design 862: autom. group order 2, simple, derived
B[862]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,7,8,9,12,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,11]];
G[862]:=Group([(1,12)(3,13)(5,8)(7,10)]);
# Design 863: autom. group order 2, simple
B[863]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,8,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,8,11,12,13],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,8,12],[2,4,6,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,7,8,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,8,10,11]];
G[863]:=Group([(1,4)(2,13)(3,10)(5,7)(6,11)]);
# Design 864: autom. group order 2, simple, derived
B[864]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,8,10,12],[2,4,5,8,11,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,5,6,7,8,9],[2,5,8,10,12,13],[2,7,9,10,11,13],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,7,10,12]];
G[864]:=Group([(1,11)(3,13)(5,7)]);
# Design 865: autom. group order 2, simple, derived
B[865]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,8,12,13],[1,6,8,9,10,11],[2,3,7,8,10,12],[2,4,5,8,11,13],[2,4,6,7,11,13],[2,4,6,8,9,10],[2,5,6,7,9,12],[2,5,8,10,12,13],[2,7,9,10,11,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,4,9,10,12,13],[3,5,6,8,11,12],[3,5,6,10,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12]];
G[865]:=Group([(1,11)(3,13)(5,7)]);
# Design 866: autom. group order 2, simple, derived
B[866]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,8,9,11],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,8,10,11],[3,4,7,9,11,12],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,6,10,12,13],[3,5,8,9,11,13],[4,5,6,7,11,13]];
G[866]:=Group([(1,12)(3,13)(5,8)(7,10)]);
# Design 867: autom. group order 2, simple, derived
B[867]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,5,6,7,8,10],[2,5,7,9,10,12],[2,7,9,10,11,13],[3,4,6,7,9,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,9,12,13]];
G[867]:=Group([(1,11)(3,13)(5,7)]);
# Design 868: autom. group order 2, simple, derived
B[868]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,5,6,7,8,10],[2,5,7,9,10,12],[2,7,9,10,11,13],[3,4,6,7,9,12],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,9,12,13]];
G[868]:=Group([(1,11)(3,13)(5,7)]);
# Design 869: autom. group order 2, simple, derived
B[869]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,7,9,11],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,12,13],[3,5,7,9,11,13],[4,5,6,10,11,13]];
G[869]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 870: autom. group order 2, simple, derived
B[870]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,11,13],[1,4,5,6,8,12],[1,4,5,11,12,13],[1,4,7,9,10,11],[1,5,9,10,12,13],[1,6,7,8,9,10],[1,6,7,8,12,13],[2,3,6,9,12,13],[2,4,5,8,10,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,9,11]];
G[870]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 871: autom. group order 2, simple, derived
B[871]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,6,8,12],[1,4,5,7,11,13],[1,4,9,11,12,13],[1,5,8,9,10,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,10,11]];
G[871]:=Group([(1,7)(3,8)(5,13)(6,9)(10,12)]);
# Design 872: autom. group order 2, simple, derived
B[872]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,8,10,11,13],[1,4,5,6,8,12],[1,4,5,7,11,13],[1,4,7,9,12,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,11,12,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,8,10,11],[2,5,7,8,9,12],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,9,10,11]];
G[872]:=Group([(1,7)(3,8)(5,11)(6,10)]);
# Design 873: autom. group order 2, simple
B[873]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,11,12],[1,4,5,6,8,10],[1,4,5,7,12,13],[1,4,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,7,8,9,12],[2,5,7,8,11,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,7,9,10,11],[4,5,6,9,11,12]];
G[873]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 874: autom. group order 2, simple, derived
B[874]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,6,8,10],[1,4,5,7,12,13],[1,4,7,10,11,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,7,8,11,12],[2,5,8,9,10,12],[2,6,7,8,10,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,9,12,13]];
G[874]:=Group([(1,7)(3,8)(5,13)(6,9)]);
# Design 875: autom. group order 2, simple
B[875]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,11,12],[1,4,5,6,8,13],[1,4,5,7,10,12],[1,4,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,7,8,9,12],[2,5,7,8,11,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,7,9,10,11],[4,5,6,9,11,12]];
G[875]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 876: autom. group order 2, simple, derived
B[876]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,6,8,12],[1,4,5,7,11,13],[1,4,7,10,11,12],[1,5,8,9,10,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,6,7,12,13],[3,5,7,9,11,12],[4,5,6,9,11,13]];
G[876]:=Group([(1,7)(3,8)(5,13)(6,9)(10,12)]);
# Design 877: autom. group order 2, simple
B[877]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,6,8,12],[1,4,5,7,11,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,11,13]];
G[877]:=Group([(1,7)(3,8)(5,13)(6,9)(10,12)]);
# Design 878: autom. group order 2, simple, derived
B[878]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,8,10,11,13],[1,4,5,6,8,12],[1,4,5,11,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,7,12,13],[2,4,5,8,10,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,7,8,11,13],[3,4,9,10,12,13],[3,5,6,8,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,9,11]];
G[878]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 879: autom. group order 2, simple
B[879]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,8,10,11,13],[1,4,5,6,11,12],[1,4,5,8,9,13],[1,4,7,10,11,12],[1,5,7,8,12,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,6,7,8,10],[2,4,9,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,8,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[879]:=Group([(2,13)(3,8)(4,10)(5,9)(7,11)]);
# Design 880: autom. group order 2, simple
B[880]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,7,8,9,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,10,11,12]];
G[880]:=Group([(1,11)(3,13)(5,8)(6,9)(7,10)]);
# Design 881: autom. group order 2, simple, derived
B[881]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,7,10,11,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,12]];
G[881]:=Group([(1,11)(3,13)(5,8)(6,9)(7,10)]);
# Design 882: autom. group order 2, simple, derived
B[882]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,6,7,13],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,9,10,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,6,8,9,13],[2,4,5,10,11,12],[2,4,6,7,10,12],[2,4,7,9,11,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,6,8,9,11]];
G[882]:=Group([(2,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 883: autom. group order 2, simple, derived
B[883]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,11,13],[1,4,5,6,7,10],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,8,10,12],[2,4,5,9,11,13],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,8,11,12]];
G[883]:=Group([(2,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 884: autom. group order 2, simple, derived
B[884]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,8,10,11],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,7,8,12,13],[3,4,6,7,11,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[884]:=Group([(1,12)(3,13)(5,8)(6,9)(7,10)]);
# Design 885: autom. group order 2, simple, derived
B[885]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,5,8,10,11],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,6,7,11,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,7,9,10,12]];
G[885]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 886: autom. group order 2, simple, derived
B[886]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,5,8,10,11],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,7,9,10,12]];
G[886]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 887: autom. group order 2, simple, derived
B[887]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,8,10],[1,4,5,11,12,13],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,6,7,11,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,7,9,10,12]];
G[887]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 888: autom. group order 2, simple, derived
B[888]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,8,10],[1,4,5,11,12,13],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,7,9,10,12]];
G[888]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 889: autom. group order 2, simple
B[889]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,11,12,13],[1,3,8,9,10,13],[1,4,5,6,9,13],[1,4,5,10,11,12],[1,4,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,6,8,10,11],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,7,8,9,12]];
G[889]:=Group([(1,10)(3,9)(4,11)(6,7)]);
# Design 890: autom. group order 2, simple
B[890]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,9,10,12,13],[1,4,5,6,9,13],[1,4,5,8,10,11],[1,4,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,7,8,9,12]];
G[890]:=Group([(1,10)(3,9)(4,11)(6,7)]);
# Design 891: autom. group order 2, simple, derived
B[891]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,6,10,12],[1,4,5,9,11,13],[1,4,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,7,10,11,12]];
G[891]:=Group([(1,9)(3,10)(4,13)(6,7)(8,12)]);
# Design 892: autom. group order 2, simple, derived
B[892]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,13],[1,4,5,6,9,13],[1,4,5,10,11,12],[1,4,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,9,10,11,13],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,6,8,10,12],[3,5,7,8,10,11],[4,5,7,9,12,13]];
G[892]:=Group([(1,11)(3,13)(4,10)(6,7)(8,9)]);
# Design 893: autom. group order 2, simple, derived
B[893]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,6,11,13],[1,4,5,8,9,12],[1,4,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,6,8,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,7,8,11,13]];
G[893]:=Group([(1,12)(3,13)(4,9)(6,7)]);
# Design 894: autom. group order 2, simple
B[894]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,6,10,12],[1,4,5,9,11,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,7,10,13],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,7,10,11,12]];
G[894]:=Group([(1,9)(3,10)(4,13)(6,7)(8,12)]);
# Design 895: autom. group order 2, simple, derived
B[895]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,13],[1,4,5,6,9,13],[1,4,5,10,11,12],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,9,10,11,13],[3,4,6,7,10,13],[3,4,6,8,11,13],[3,4,7,9,11,12],[3,5,6,8,10,12],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,7,9,12,13]];
G[895]:=Group([(1,11)(3,13)(4,10)(6,7)(8,9)]);
# Design 896: autom. group order 2, simple, derived
B[896]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,11,13],[1,4,5,7,10,13],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,12],[2,5,7,9,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[896]:=Group([(1,8)(2,13)(4,11)(7,9)]);
# Design 897: autom. group order 2, simple, derived
B[897]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[897]:=Group([(1,8)(2,13)(4,11)(7,9)]);
# Design 898: autom. group order 2, simple, derived
B[898]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,11,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,6,8,10,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,9,10,13],[2,6,8,9,10,11],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[898]:=Group([(1,8)(2,13)(4,11)(7,9)]);
# Design 899: autom. group order 2, simple, derived
B[899]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,11,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,7,10,13],[1,5,6,8,10,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,4,8,9,10,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,6,7,9,11]];
G[899]:=Group([(1,8)(2,13)(4,11)(7,9)]);
# Design 900: autom. group order 2, simple, derived
B[900]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,11,13],[1,4,5,9,10,12],[1,4,5,11,12,13],[1,4,6,8,12,13],[1,5,6,7,8,11],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,4,5,8,10,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[900]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 901: autom. group order 2, simple, derived
B[901]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,7,8,11,13],[1,4,5,7,11,12],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,6,8,9,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[901]:=Group([(1,7)(2,13)(4,11)]);
# Design 902: autom. group order 2, simple
B[902]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,6,9,12,13],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,9,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,10,11]];
G[902]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 903: autom. group order 2, simple, derived
B[903]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,8,12,13],[1,4,5,8,11,13],[1,4,5,10,11,13],[1,4,6,7,10,12],[1,5,6,8,9,12],[1,6,7,9,10,11],[1,8,9,10,12,13],[2,3,6,8,10,13],[2,4,5,9,12,13],[2,4,6,10,12,13],[2,4,7,8,9,10],[2,5,7,8,11,12],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[903]:=Group([(1,7)(2,13)(4,12)]);
# Design 904: autom. group order 2, simple, derived
B[904]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,7,8,11,13],[1,4,5,8,12,13],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,5,6,8,9,11],[1,6,9,11,12,13],[1,7,8,9,10,12],[2,3,6,8,12,13],[2,4,5,9,11,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,7,8,11,12],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[904]:=Group([(1,7)(2,13)(4,11)]);
# Design 905: autom. group order 2, simple
B[905]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,6,7,10,11],[1,5,6,9,10,12],[1,6,8,10,11,13],[1,7,8,9,12,13],[2,3,6,8,9,13],[2,4,5,11,12,13],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,7,8,10,11],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,6,7,8,12],[3,4,8,9,10,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,6,7,9,13]];
G[905]:=Group([(1,13)(2,9)(3,7)(4,5)(8,11)]);
# Design 906: autom. group order 2, simple
B[906]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,7,10,11,12],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,6,9,10,12],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,6,9,11,13],[2,4,5,8,11,12],[2,4,6,10,11,12],[2,4,7,9,10,11],[2,5,7,8,10,13],[2,5,7,10,12,13],[2,6,8,9,12,13],[3,4,6,7,12,13],[3,4,8,9,10,12],[3,4,8,9,10,13],[3,5,6,7,8,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,7,9,11]];
G[906]:=Group([(1,11)(2,9)(3,7)(4,5)(8,13)]);
# Design 907: autom. group order 2, simple
B[907]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,11],[1,4,6,7,8,13],[1,5,6,10,12,13],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,6,8,9,12],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,8,10],[3,5,6,7,11,13],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[907]:=Group([(1,12)(2,9)(3,7)(8,11)(10,13)]);
# Design 908: autom. group order 2, simple
B[908]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,5,9,11,13],[1,4,6,7,8,13],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,8,9,10,12],[2,3,6,8,9,12],[2,4,5,8,10,12],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,11,12,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[908]:=Group([(1,12)(2,9)(3,7)(8,11)(10,13)]);
# Design 909: autom. group order 2, simple
B[909]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,6,7,10,11],[1,5,6,10,12,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,8,9,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,7,8,10,12],[2,5,7,8,11,12],[2,5,7,9,12,13],[2,6,8,10,11,13],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,6,7,9,13]];
G[909]:=Group([(1,13)(2,9)(3,7)(8,11)(10,12)]);
# Design 910: autom. group order 2, simple
B[910]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,6,7,11,12],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,8,9,10,13],[2,3,6,8,9,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,7,8,10,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,11,12,13],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,9,13]];
G[910]:=Group([(1,13)(2,9)(3,7)(8,11)(10,12)]);
# Design 911: autom. group order 2, simple
B[911]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,7,10,11,12],[1,4,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,12,13],[1,5,6,10,11,12],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,4,5,8,11,12],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,7,8,10,13],[2,5,7,9,11,12],[2,6,8,10,11,13],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[911]:=Group([(1,11)(2,9)(3,7)(8,13)(10,12)]);
# Design 912: autom. group order 2, simple
B[912]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,7,10,11,12],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,6,10,11,12],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,4,5,8,10,11],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,7,8,12,13],[2,5,7,9,11,12],[2,6,8,10,11,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,10,13],[4,5,6,7,9,11]];
G[912]:=Group([(1,11)(2,9)(3,7)(8,13)(10,12)]);
# Design 913: autom. group order 2, simple, derived
B[913]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,8,13],[1,3,7,10,11,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,5,6,10,12,13],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,11,12,13],[2,4,5,7,11,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,7,8,10,12],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[913]:=Group([(2,12)(3,11)(5,8)(7,10)]);
# Design 914: autom. group order 2, simple
B[914]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,10],[1,3,8,9,11,12],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,6,7,8,11],[1,6,8,10,12,13],[1,7,9,10,11,12],[2,3,6,7,12,13],[2,4,5,10,11,12],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,10,11,13],[3,4,6,9,10,11],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,10,13],[4,5,6,7,9,12]];
G[914]:=Group([(1,12)(2,7)(3,9)(4,5)(10,13)]);
# Design 915: autom. group order 2, simple
B[915]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,5,10,11,13],[1,4,6,8,9,11],[1,5,6,7,8,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,7,8,9,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,13],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[4,5,6,7,9,13]];
G[915]:=Group([(1,13)(2,7)(3,9)(4,5)(10,11)]);
# Design 916: autom. group order 2, simple
B[916]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,5,6,7,8,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,6,9,11,12],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,8,10,11],[4,5,6,7,9,13]];
G[916]:=Group([(1,13)(2,7)(3,9)(4,5)(10,11)]);
# Design 917: autom. group order 2, simple
B[917]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,5,6,7,8,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,4,8,9,11,12],[2,5,7,8,9,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,9,13]];
G[917]:=Group([(1,13)(2,7)(3,9)(4,5)(10,11)]);
# Design 918: autom. group order 2, simple, derived
B[918]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,5,6,7,8,13],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,9,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,6,9,11,13]];
G[918]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 919: autom. group order 2, simple, derived
B[919]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,6,7,10,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,9,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,9,11,13]];
G[919]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 920: autom. group order 2, simple, derived
B[920]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,5,11,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,4,5,8,10,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[920]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 921: autom. group order 2, simple
B[921]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,6,10,11,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,6,8,10,11],[2,4,5,7,10,13],[2,4,6,9,12,13],[2,4,10,11,12,13],[2,5,7,8,11,12],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[921]:=Group([(1,8)(2,5)(3,12)(4,7)(6,11)]);
# Design 922: autom. group order 2, simple
B[922]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,6,10,11,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,6,8,10,11],[2,4,5,7,10,13],[2,4,6,10,12,13],[2,4,9,11,12,13],[2,5,7,8,11,12],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,6,8,9,11]];
G[922]:=Group([(1,8)(2,5)(3,12)(4,7)(6,11)]);
# Design 923: autom. group order 2, simple, derived
B[923]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,12],[1,5,6,8,9,13],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,9,10,11,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,10,11]];
G[923]:=Group([(1,10)(2,13)(5,12)(7,9)]);
# Design 924: autom. group order 2, simple
B[924]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,7,10,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,6,8,10,11],[2,4,5,9,12,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,7,8,9,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,4,10,11,12,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,12],[4,5,6,8,9,11]];
G[924]:=Group([(1,7)(3,8)(5,12)(6,10)(9,13)]);
# Design 925: autom. group order 2, simple, derived
B[925]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,11,12,13],[1,3,7,8,11,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,5,6,8,10,12],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,6,8,11,12],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,7,9,11]];
G[925]:=Group([(1,8)(3,7)(5,12)(6,10)]);
# Design 926: autom. group order 2, simple
B[926]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,11],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,5,6,8,10,12],[1,6,8,9,10,13],[1,7,10,11,12,13],[2,3,6,7,10,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,8,11,12],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,9,12,13],[4,5,6,7,9,11]];
G[926]:=Group([(1,8)(3,7)(5,12)(6,10)]);
# Design 927: autom. group order 2, simple, derived
B[927]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,7,9,11],[1,5,6,8,10,12],[1,6,8,9,10,13],[1,7,10,11,12,13],[2,3,6,7,10,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,8,11,12],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,9,13]];
G[927]:=Group([(1,8)(3,7)(5,12)(6,10)]);
# Design 928: autom. group order 2, simple
B[928]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,11],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,5,6,8,10,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,8,11,12],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,7,9,11]];
G[928]:=Group([(1,8)(3,7)(5,12)(6,10)]);
# Design 929: autom. group order 2, simple, derived
B[929]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,13],[1,4,5,7,10,13],[1,4,5,8,11,12],[1,4,6,7,11,13],[1,5,6,8,10,12],[1,6,8,9,10,13],[1,7,9,10,11,12],[2,3,6,7,10,11],[2,4,5,9,12,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,8,12,13],[3,4,6,8,9,12],[3,4,8,9,10,11],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,9,12,13],[4,5,6,7,9,11]];
G[929]:=Group([(1,8)(3,7)(5,12)(6,10)(9,13)]);
# Design 930: autom. group order 2, simple, derived
B[930]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,7,9,11,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,11,12,13],[3,5,7,8,10,11],[4,5,6,9,10,12]];
G[930]:=Group([(2,11)(3,12)(5,8)]);
# Design 931: autom. group order 2, simple, derived
B[931]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,7,9,12,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,11,12,13],[3,5,7,8,10,12],[4,5,6,9,10,12]];
G[931]:=Group([(2,11)(3,12)(5,8)]);
# Design 932: autom. group order 2, simple, derived
B[932]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,8,11,13],[1,4,5,7,11,12],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,6,7,8,9],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,4,7,8,9,10],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,6,8,9,11]];
G[932]:=Group([(1,7)(2,13)(4,11)]);
# Design 933: autom. group order 2, simple, derived
B[933]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,12,13],[1,5,6,7,8,9],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,6,8,10,12],[2,4,5,9,11,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,7,8,9,12],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,8,9,11,13],[4,5,6,10,11,12]];
G[933]:=Group([(1,7)(3,8)(5,11)(6,10)(9,13)]);
# Design 934: autom. group order 2, simple, derived
B[934]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,5,6,7,8,13],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,9,10,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,10,11]];
G[934]:=Group([(1,10)(2,13)(5,12)(7,9)]);
# Design 935: autom. group order 2, simple, derived
B[935]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,8,9,12,13],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,7,8,9,10],[2,6,7,9,10,12],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,7,8,9,11]];
G[935]:=Group([(2,11)(3,12)(4,10)]);
# Design 936: autom. group order 2, simple, derived
B[936]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,8,9,12,13],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,9,11,12,13],[2,5,6,7,11,13],[2,5,7,8,9,10],[2,6,7,9,10,12],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,7,8,9,11]];
G[936]:=Group([(2,11)(3,12)(4,10)]);
# Design 937: autom. group order 2, simple, derived
B[937]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,8,10,11,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,6,9,11,12],[1,6,7,8,10,13],[1,7,9,10,11,12],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,9,10,11],[2,4,8,11,12,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[3,5,8,9,12,13],[4,5,7,8,9,10]];
G[937]:=Group([(2,12)(3,11)(4,9)(8,10)]);
# Design 938: autom. group order 2, simple, derived
B[938]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,9,10,12,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,5,6,7,8,10],[1,6,7,10,12,13],[1,7,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,10,11],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,8,10,11,13],[4,5,7,8,9,12]];
G[938]:=Group([(1,10)(3,9)(4,11)(6,7)]);
# Design 939: autom. group order 2, simple
B[939]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,5,6,10,11,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,7,9,12,13]];
G[939]:=Group([(1,13)(3,11)(5,8)(6,9)(7,10)]);
# Design 940: autom. group order 2, simple
B[940]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,6,9,12,13],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[940]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 941: autom. group order 2, simple, derived
B[941]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,6,8,11,13],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,7,9,10,11]];
G[941]:=Group([(1,13)(3,12)(4,9)(6,8)(7,10)]);
# Design 942: autom. group order 2, simple, derived
B[942]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,5,6,10,11,12],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,11,13],[4,5,7,9,10,11]];
G[942]:=Group([(1,13)(3,12)(4,9)(6,8)(7,10)]);
# Design 943: autom. group order 2, simple, derived
B[943]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,9,11,13],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,8,11,13],[4,5,7,8,9,11]];
G[943]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 944: autom. group order 2, simple
B[944]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,7,9,10,12],[2,4,5,8,11,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,9,10,11,13],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,8,9,12,13],[4,5,7,9,11,12]];
G[944]:=Group([(1,11)(3,13)(4,10)(6,7)(8,9)]);
# Design 945: autom. group order 2, simple, derived
B[945]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,8,12,13],[1,4,5,9,11,13],[1,4,6,7,10,11],[1,5,6,10,12,13],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,4,5,7,8,10],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,7,8,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,7,9,11,12]];
G[945]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 946: autom. group order 2, simple, derived
B[946]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,9,10,11],[1,5,7,9,12,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,4,5,6,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,7,8,10,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,6,7,9,12],[3,4,7,8,11,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,11],[4,5,6,7,8,9]];
G[946]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 947: autom. group order 2, simple, derived
B[947]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,7,10,11,13],[1,4,5,7,8,12],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,6,11,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,7,9,10]];
G[947]:=Group([(1,11)(3,12)(4,10)(5,7)]);
# Design 948: autom. group order 2, simple, derived
B[948]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,7,8,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,8,10,13],[2,4,5,6,12,13],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[948]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 949: autom. group order 2, simple
B[949]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,10,11,12],[2,4,5,6,8,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,7,8,12,13],[2,5,7,9,10,12],[2,6,8,9,10,13],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,6,9,11,12]];
G[949]:=Group([(2,11)(3,13)(4,10)(6,7)]);
# Design 950: autom. group order 2, simple, derived
B[950]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,11],[2,4,5,6,12,13],[2,4,7,8,11,13],[2,4,9,10,11,12],[2,5,7,8,9,10],[2,5,7,8,12,13],[2,6,9,10,12,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[950]:=Group([(2,11)(3,13)(4,10)(6,7)]);
# Design 951: autom. group order 2, simple, derived
B[951]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,8,12,13],[1,4,5,9,11,13],[1,4,6,7,10,11],[1,5,7,10,12,13],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,4,5,6,8,10],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,8,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,9,11,12]];
G[951]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 952: autom. group order 2, simple, derived
B[952]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,8,9,10,13],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,9,11,13],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,7,8,9,10,12],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,4,8,11,12,13],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,7,10,12,13],[4,5,6,7,8,9]];
G[952]:=Group([(2,11)(3,12)(4,9)(6,8)]);
# Design 953: autom. group order 2, simple, derived
B[953]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,8,9,10,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,9,12,13],[2,4,5,7,11,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,7,8,9,10,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,6,7,8,9]];
G[953]:=Group([(1,10)(3,9)(4,11)(6,12)]);
# Design 954: autom. group order 2, simple
B[954]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,11],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,9,13],[2,4,5,8,11,12],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,9,10,12,13],[2,7,8,9,10,12],[3,4,6,9,12,13],[3,4,7,8,10,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,11]];
G[954]:=Group([(1,10)(3,9)(4,12)(6,13)]);
# Design 955: autom. group order 2, simple
B[955]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,11],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,9,13],[2,4,5,8,11,12],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,9,10,12,13],[2,7,8,9,10,12],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,11]];
G[955]:=Group([(1,10)(3,9)(4,12)(6,13)]);
# Design 956: autom. group order 2, simple
B[956]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,9,10,11,12],[2,7,8,9,10,12],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,7,11,12]];
G[956]:=Group([(1,9)(3,10)(4,12)(6,11)]);
# Design 957: autom. group order 2, simple
B[957]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,9,10,11,12],[2,7,8,9,10,12],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,5,7,8,10,13],[4,5,6,7,11,12]];
G[957]:=Group([(1,9)(3,10)(4,12)(6,11)]);
# Design 958: autom. group order 2, simple, derived
B[958]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,8,12,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,8,10,13],[2,4,5,7,11,12],[2,4,6,8,11,12],[2,4,7,9,10,13],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,8,9,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,7,8,9]];
G[958]:=Group([(1,11)(3,12)(5,8)]);
# Design 959: autom. group order 2, simple, derived
B[959]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,7,8,10,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,10,13],[2,4,5,8,11,12],[2,4,6,8,9,10],[2,4,7,8,9,13],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,7,9,10,11,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,6,7,10,11]];
G[959]:=Group([(1,9)(3,10)(4,12)(6,13)(8,11)]);
# Design 960: autom. group order 2, simple, derived
B[960]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,9,10,12],[1,5,7,8,10,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,7,10,13],[2,4,5,8,11,12],[2,4,6,8,9,10],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,9,10,11,13],[2,7,9,10,11,12],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,11,13]];
G[960]:=Group([(1,9)(3,10)(4,11)(6,13)(8,12)]);
# Design 961: autom. group order 2, simple, derived
B[961]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,10,11,12,13],[1,4,5,7,11,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,8,11,12],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,7,9,10,11,12],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,9,10,12]];
G[961]:=Group([(1,11)(3,12)(5,7)]);
# Design 962: autom. group order 2, simple, derived
B[962]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,11,12,13],[1,4,5,7,8,12],[1,4,5,9,10,13],[1,4,6,10,11,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,8,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,6,7,9,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,8,11,13]];
G[962]:=Group([(2,8)(3,7)(6,12)(9,13)]);
# Design 963: autom. group order 2, simple, derived
B[963]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,7,9,13],[1,4,5,8,10,12],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,9,13],[2,4,5,8,11,12],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,9,10,12,13],[2,7,8,9,10,12],[3,4,6,9,12,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,7,10,12],[3,5,8,11,12,13],[4,5,6,8,9,11]];
G[963]:=Group([(1,10)(3,9)(4,12)(6,13)]);
# Design 964: autom. group order 2, simple
B[964]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,7,9,10,12,13],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,6,10,11,12],[3,5,7,8,9,10],[4,5,6,8,9,13]];
G[964]:=Group([(2,11)(3,13)(4,10)(6,7)]);
# Design 965: autom. group order 2, simple, derived
B[965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,7,10,12],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,9,10,11,12],[2,7,8,9,10,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,6,8,11,12]];
G[965]:=Group([(1,9)(3,10)(4,12)(6,11)]);
# Design 966: autom. group order 2, simple, derived
B[966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,7,8,10,11,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,10,11]];
G[966]:=Group([(1,10)(2,13)(5,12)(7,9)]);
# Design 967: autom. group order 2, simple
B[967]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,5,8,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,9,13],[2,4,5,10,11,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,7,9,10,13],[2,7,8,9,11,12],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,6,8,12,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[967]:=Group([(1,7)(3,8)(5,12)(6,13)(10,11)]);
# Design 968: autom. group order 2, simple, derived
B[968]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,8,9,10,11,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,10,11]];
G[968]:=Group([(1,10)(2,13)(5,12)(7,9)]);
# Design 969: autom. group order 2, simple, derived
B[969]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,9,10,11,13],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,11],[1,5,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,4,5,10,11,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,8,11],[3,5,7,9,12,13],[3,5,8,10,11,12],[4,5,6,7,9,10]];
G[969]:=Group([(1,9)(2,13)(5,11)]);
# Design 970: autom. group order 2, simple, derived
B[970]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,9,10,11,13],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,5,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,4,5,10,11,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,7,9,12],[2,5,6,8,9,13],[2,7,8,9,10,11],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,8,11],[3,5,7,9,12,13],[3,5,8,10,11,12],[4,5,6,7,10,11]];
G[970]:=Group([(1,9)(2,13)(5,11)]);
# Design 971: autom. group order 2, simple, derived
B[971]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,8,10,11,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,11,12],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,4,5,7,11,13],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,7,8,11],[3,5,7,9,12,13],[3,5,8,9,11,12],[4,5,6,7,8,10]];
G[971]:=Group([(1,9)(3,10)(4,11)]);
# Design 972: autom. group order 2, simple, derived
B[972]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,8,10,11,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,4,5,7,11,13],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,9,11,12],[3,4,8,9,10,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,8,10]];
G[972]:=Group([(1,9)(3,10)(4,11)]);
# Design 973: autom. group order 2, simple
B[973]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,7,8,10,11],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,6,9,10,13],[2,7,8,9,12,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[973]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 974: autom. group order 2, simple
B[974]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,13],[1,4,5,7,8,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,7,10,11,12],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,9,10,13],[2,7,8,9,12,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[974]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 975: autom. group order 2, simple, derived
B[975]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,13],[1,4,5,7,8,13],[1,4,5,10,11,12],[1,4,6,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,9,10,13],[2,7,8,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[975]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 976: autom. group order 2, simple, derived
B[976]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,8,10,12],[1,5,7,8,12,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,7,8,10,11],[2,4,7,9,12,13],[2,5,6,7,8,10],[2,5,6,9,10,13],[2,8,9,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[976]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 977: autom. group order 2, simple
B[977]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,7,9,12],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,10,13],[2,4,5,8,9,11],[2,4,7,9,11,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,7,8,9,10,12],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,7,9,10,13],[3,5,8,11,12,13],[4,5,6,7,11,13]];
G[977]:=Group([(1,8)(2,5)(3,11)(4,10)]);
# Design 978: autom. group order 2, simple, derived
B[978]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,6,11,12],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,5,6,9,11,13],[4,5,7,9,10,11]];
G[978]:=Group([(1,13)(3,10)(5,12)(8,9)]);
# Design 979: autom. group order 2, simple, derived
B[979]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,9,10,11,12],[2,3,8,10,12,13],[2,4,5,6,11,12],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[4,5,7,9,10,11]];
G[979]:=Group([(1,13)(3,10)(5,12)(8,9)]);
# Design 980: autom. group order 2, simple
B[980]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,8,9,10,13],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,8,9,11,13],[2,4,5,6,8,13],[2,4,8,10,11,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,7,8,9,11]];
G[980]:=Group([(1,12)(2,5)(3,7)(4,13)(9,11)]);
# Design 981: autom. group order 2, simple
B[981]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,8,9,11,13],[2,4,5,6,8,13],[2,4,8,9,10,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,9,10],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,7,8,9,11]];
G[981]:=Group([(1,12)(2,5)(3,7)(4,13)(9,11)]);
# Design 982: autom. group order 2, simple
B[982]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,8,10,13],[2,4,5,6,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,6,9,10,12,13],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,10],[3,5,7,10,11,12],[4,5,7,8,9,13]];
G[982]:=Group([(2,11)(3,13)(4,10)(6,7)]);
# Design 983: autom. group order 2, simple, derived
B[983]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,8,9,12],[2,7,8,9,12,13],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,7,9,10,11]];
G[983]:=Group([(1,7)(3,8)(5,13)(6,11)(10,12)]);
# Design 984: autom. group order 2, simple
B[984]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,11,13],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,7,9,10,12]];
G[984]:=Group([(1,8)(3,7)(5,13)(6,12)(10,11)]);
# Design 985: autom. group order 2, simple
B[985]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,7,9,12],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,7,9,10,13],[2,4,5,8,9,11],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,7,8,9,10,12],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,11,12,13],[4,5,7,9,11,13]];
G[985]:=Group([(1,8)(2,5)(3,11)(4,10)]);
# Design 986: autom. group order 2, simple
B[986]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,8,9,13],[1,5,7,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,9,11,12],[2,7,8,9,12,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,8,9,10,11]];
G[986]:=Group([(1,7)(3,8)(5,12)(6,11)(10,13)]);
# Design 987: autom. group order 2, simple
B[987]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,9,10,12],[2,7,8,9,10,13],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,7,9,11,12]];
G[987]:=Group([(2,11)(3,13)(4,10)(6,7)]);
# Design 988: autom. group order 2, simple, derived
B[988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,8,10,11],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,9,10,12,13],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,6,10,11,12],[3,5,7,8,11,12],[4,5,7,8,9,11]];
G[988]:=Group([(2,11)(3,13)(4,10)(6,7)]);
# Design 989: autom. group order 2, simple
B[989]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,10,11,13],[1,4,5,6,9,12],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,4,5,7,10,11],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,8,9,10,12],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,4,10,11,12,13],[3,5,6,7,8,11],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,9,11,13]];
G[989]:=Group([(1,10)(2,4)(3,11)(5,8)]);
# Design 990: autom. group order 2, simple, derived
B[990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,10,12,13],[1,4,5,6,10,13],[1,4,5,9,11,12],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,7,8,9],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,5,8,10,11,13],[4,5,6,7,11,12]];
G[990]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 991: autom. group order 2, simple, derived
B[991]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,7,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,11],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,9,10,12,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[991]:=Group([(1,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 992: autom. group order 2, simple, derived
B[992]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,12,13],[1,4,5,6,11,12],[1,4,5,8,9,13],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,6,9,10,13],[3,4,7,8,10,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[992]:=Group([(1,13)(3,12)(4,9)(6,7)]);
# Design 993: autom. group order 2, simple, derived
B[993]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,12,13],[1,4,5,6,8,12],[1,4,5,9,11,13],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,6,9,10,13],[3,4,7,8,10,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[993]:=Group([(1,13)(3,12)(4,9)(6,7)]);
# Design 994: autom. group order 2, simple, derived
B[994]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,11],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,9,11,13],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[994]:=Group([(1,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 995: autom. group order 2, simple
B[995]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,4,5,6,9,13],[1,4,5,10,11,12],[1,4,8,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,10,11,13],[2,4,5,7,12,13],[2,4,6,8,11,12],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,8,9,11],[3,5,7,8,10,12],[3,5,7,9,11,13],[4,5,6,7,10,11]];
G[995]:=Group([(1,10)(3,9)(4,12)(6,8)(7,13)]);
# Design 996: autom. group order 2, simple
B[996]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,6,7,9,13],[1,4,5,6,10,11],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,7,12,13]];
G[996]:=Group([(1,13)(3,11)(4,9)(6,8)(7,10)]);
# Design 997: autom. group order 2, simple
B[997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,10,11,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,7,8,10,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,9,12],[2,4,5,9,11,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,6,10,12,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,9,11,12]];
G[997]:=Group([(1,11)(3,13)(5,8)(6,10)(7,9)]);
# Design 998: autom. group order 2, simple, derived
B[998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,10,11],[1,4,5,6,11,13],[1,4,5,10,12,13],[1,4,7,8,12,13],[1,5,7,8,9,11],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,4,5,8,9,10],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,6,7,9,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,5,8,9,12,13],[4,5,6,9,11,12]];
G[998]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 999: autom. group order 2, simple, derived
B[999]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,10,11],[1,4,5,6,11,13],[1,4,5,8,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,4,5,8,9,10],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,6,7,10,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,9,11,12]];
G[999]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1000: autom. group order 2, simple, derived
B[1000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,5,9,12,13],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,6,7,11,13],[2,4,6,9,10,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1000]:=Group([(1,13)(2,8)(4,12)(7,10)]);
# Design 1001: autom. group order 2, simple, derived
B[1001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,5,9,12,13],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,6,7,9,13],[2,4,6,10,11,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1001]:=Group([(1,13)(2,8)(4,12)(7,10)]);
# Design 1002: autom. group order 2, simple, derived
B[1002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,5,9,12,13],[1,4,7,10,12,13],[1,5,7,8,11,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,7,11,13],[2,4,6,8,9,12],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1002]:=Group([(1,13)(2,8)(4,12)(7,10)]);
# Design 1003: autom. group order 2, simple, derived
B[1003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,5,9,12,13],[1,4,7,10,12,13],[1,5,7,8,11,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,6,8,11,12],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1003]:=Group([(1,13)(2,8)(4,12)(7,10)]);
# Design 1004: autom. group order 2, simple, derived
B[1004]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,5,9,12,13],[1,4,7,10,12,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,11,13],[2,4,6,8,11,12],[2,4,6,9,10,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1004]:=Group([(1,13)(2,8)(4,12)(7,10)]);
# Design 1005: autom. group order 2, simple, derived
B[1005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,5,9,12,13],[1,4,7,10,12,13],[1,5,8,10,11,12],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,8,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1005]:=Group([(1,13)(2,8)(4,12)(7,10)]);
# Design 1006: autom. group order 2, simple
B[1006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,6,11,13],[1,4,5,7,9,12],[1,4,8,10,12,13],[1,5,8,9,10,13],[1,6,7,8,11,13],[1,6,9,10,11,12],[2,3,8,9,11,13],[2,4,5,10,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,9,10,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,7,8,9,11]];
G[1006]:=Group([(1,12)(2,7)(3,5)(4,13)(9,11)]);
# Design 1007: autom. group order 2, simple
B[1007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,6,11,13],[1,4,5,7,9,12],[1,4,8,10,12,13],[1,5,8,10,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,8,9,11,13],[2,4,5,9,10,13],[2,4,6,7,10,11],[2,4,6,8,11,12],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,9,10,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,7,8,9,11]];
G[1007]:=Group([(1,12)(2,7)(3,5)(4,13)(9,11)]);
# Design 1008: autom. group order 2, simple, derived
B[1008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,7,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,9,11,12],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,9,10,12,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[1008]:=Group([(1,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 1009: autom. group order 2, simple, derived
B[1009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,9,11,12],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,6,9,11,13],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[1009]:=Group([(1,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 1010: autom. group order 2, simple, derived
B[1010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,12,13],[1,4,5,6,11,12],[1,4,5,8,9,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,6,7,9,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,7,8,11,12]];
G[1010]:=Group([(1,13)(3,12)(4,9)(6,7)]);
# Design 1011: autom. group order 2, simple, derived
B[1011]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,12,13],[1,4,5,6,11,12],[1,4,5,8,9,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,7,8,11,12]];
G[1011]:=Group([(1,13)(3,12)(4,9)(6,7)]);
# Design 1012: autom. group order 2, simple, derived
B[1012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,4,5,6,8,10],[1,4,5,11,12,13],[1,4,9,10,11,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,7,8,9,11]];
G[1012]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 1013: autom. group order 2, simple, derived
B[1013]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,4,5,6,8,10],[1,4,5,11,12,13],[1,4,8,10,11,12],[1,5,7,9,10,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,7,8,9,11]];
G[1013]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 1014: autom. group order 2, simple, derived
B[1014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,13],[1,4,5,6,7,11],[1,4,5,9,12,13],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,5,6,11,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,7,8,9,11]];
G[1014]:=Group([(1,13)(2,7)(4,12)]);
# Design 1015: autom. group order 2, simple, derived
B[1015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,10,11,12],[1,4,5,6,7,13],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,9,10,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,7,9,12,13],[2,4,5,10,11,12],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,7,9,11,12]];
G[1015]:=Group([(2,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 1016: autom. group order 2, simple, derived
B[1016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,6,9,11,13],[1,4,5,6,7,10],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,7,9,10,12],[2,4,5,9,11,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,7,9,11,12]];
G[1016]:=Group([(2,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 1017: autom. group order 2, simple
B[1017]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,13],[1,4,5,6,11,12],[1,4,5,7,9,13],[1,4,8,10,11,12],[1,5,7,8,12,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,6,9,12,13],[2,5,6,7,8,11],[2,5,9,11,12,13],[2,6,7,8,9,11],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,12],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[1017]:=Group([(2,7)(3,13)(4,10)(5,9)(8,11)]);
# Design 1018: autom. group order 2, simple
B[1018]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,8,9,12],[1,4,5,6,10,13],[1,4,5,9,11,12],[1,4,7,10,12,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,6,8,11,12],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,8,9,10,11]];
G[1018]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 1019: autom. group order 2, simple
B[1019]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,10,11,13],[1,4,5,6,9,12],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,7,8,9,13],[2,4,5,7,10,11],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,8,10,12,13],[2,6,8,9,10,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,10,11,12,13],[3,5,6,7,8,11],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,7,9,11,13]];
G[1019]:=Group([(1,10)(2,4)(3,11)(5,8)]);
# Design 1020: autom. group order 2, simple, derived
B[1020]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,6,7,11,13],[1,4,5,6,12,13],[1,4,5,7,8,10],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,11,12],[2,4,6,7,9,13],[2,4,6,9,10,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[1020]:=Group([(1,13)(2,8)(4,12)]);
# Design 1021: autom. group order 2, simple, derived
B[1021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,6,7,10,13],[1,4,5,6,8,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,10,12],[2,4,6,7,9,13],[2,4,6,9,10,13],[2,5,6,11,12,13],[2,5,7,8,9,11],[2,6,7,8,10,11],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,13],[4,5,7,9,10,12]];
G[1021]:=Group([(1,13)(2,8)(4,12)]);
# Design 1022: autom. group order 2, simple, derived
B[1022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,6,7,11,13],[1,4,5,6,8,11],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,5,6,11,12,13],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[1022]:=Group([(1,13)(2,8)(4,12)]);
# Design 1023: autom. group order 2, simple
B[1023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,10,11,12],[1,5,6,8,10,13],[1,6,8,9,12,13],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,4,6,8,9,10],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,7,8,12,13],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[1023]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1024: autom. group order 2, simple
B[1024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,4,5,7,12,13],[1,4,5,8,11,13],[1,4,6,10,11,12],[1,5,6,8,10,13],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,9,10,12],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,7,8,10,12],[3,4,8,9,10,13],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[1024]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1025: autom. group order 2, simple
B[1025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,10,11,12],[1,5,6,8,10,13],[1,6,7,8,12,13],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,7,12,13],[2,4,6,7,8,10],[2,4,6,9,11,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,8,9,10,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[1025]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1026: autom. group order 2, simple
B[1026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,10,11,12],[1,5,6,8,10,13],[1,6,7,8,10,12],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,4,5,7,10,12],[2,4,6,7,8,13],[2,4,6,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,8,9,12,13],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,6,7,9,11]];
G[1026]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1027: autom. group order 2, simple, derived
B[1027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,11,12,13],[1,3,6,8,9,11],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,7,9,12],[1,5,6,7,9,12],[1,6,8,10,11,13],[1,7,8,9,10,13],[2,3,6,8,10,12],[2,4,5,7,8,13],[2,4,6,9,10,13],[2,4,6,9,11,13],[2,5,7,8,9,11],[2,5,9,10,11,12],[2,6,7,8,10,12],[3,4,7,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[4,5,6,8,11,12]];
G[1027]:=Group([(1,8)(3,7)(6,13)(10,11)]);
# Design 1028: autom. group order 2, simple, derived
B[1028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,8,12,13],[1,4,5,7,10,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,6,9,11,12],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,5,8,9,10,11],[4,5,6,7,8,12]];
G[1028]:=Group([(1,8)(3,13)(4,11)(7,9)]);
# Design 1029: autom. group order 2, simple, derived
B[1029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,5,6,9,11,12],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,8,12]];
G[1029]:=Group([(1,8)(3,13)(4,11)(7,9)]);
# Design 1030: autom. group order 2, simple, derived
B[1030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,8,12,13],[1,4,5,7,10,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,10,11,12,13],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,5,8,9,10,11],[4,5,6,7,8,12]];
G[1030]:=Group([(1,8)(3,13)(4,11)(7,9)]);
# Design 1031: autom. group order 2, simple, derived
B[1031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,10,11,12,13],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,8,12]];
G[1031]:=Group([(1,8)(3,13)(4,11)(7,9)]);
# Design 1032: autom. group order 2, simple, derived
B[1032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,10,13],[1,4,5,7,10,13],[1,4,5,8,11,12],[1,4,6,8,12,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,7,9,10,11,12],[2,3,6,11,12,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[1032]:=Group([(2,11)(3,12)(4,10)(8,9)]);
# Design 1033: autom. group order 2, simple, derived
B[1033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,9,12],[1,5,6,10,11,13],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,5,8,9,11,12],[4,5,6,7,11,12]];
G[1033]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 1034: autom. group order 2, simple
B[1034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,9,12],[1,5,6,10,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,12,13],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,5,8,9,11,12],[4,5,6,7,11,12]];
G[1034]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 1035: autom. group order 2, simple
B[1035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,9,12],[1,5,6,8,10,13],[1,6,7,9,11,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,7,8,9,13],[3,5,8,9,11,12],[4,5,6,7,8,12]];
G[1035]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 1036: autom. group order 2, simple, derived
B[1036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,9,12],[1,5,6,8,10,13],[1,6,7,8,9,11],[1,7,10,11,12,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,7,8,9,13],[3,5,8,9,11,12],[4,5,6,7,8,12]];
G[1036]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 1037: autom. group order 2, simple
B[1037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,4,5,7,12,13],[1,4,5,8,11,13],[1,4,6,9,10,11],[1,5,6,8,10,13],[1,6,7,10,11,12],[1,8,9,10,12,13],[2,3,6,10,11,13],[2,4,5,9,10,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[3,5,7,9,10,13],[4,5,6,7,9,11]];
G[1037]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1038: autom. group order 2, simple
B[1038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,10,11,12],[1,5,6,8,10,13],[1,6,7,9,11,13],[1,8,9,10,12,13],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,10,11],[3,5,7,9,10,13],[4,5,6,7,9,11]];
G[1038]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1039: autom. group order 2, simple
B[1039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,9,12],[1,4,5,7,12,13],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,6,7,8,11,12],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,8,10,12],[3,5,9,11,12,13],[4,5,6,7,9,11]];
G[1039]:=Group([(1,11)(2,10)(3,4)(5,12)(7,9)]);
# Design 1040: autom. group order 2, simple
B[1040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,9,12],[1,4,5,7,8,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,6,8,11,12],[1,6,7,9,11,13],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[1040]:=Group([(1,11)(2,10)(3,4)(5,12)(7,9)]);
# Design 1041: autom. group order 2, simple
B[1041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,6,8,9,13],[1,6,8,9,11,12],[1,7,8,10,12,13],[2,3,6,9,12,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,6,8,11,12],[3,4,7,8,9,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,12]];
G[1041]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1042: autom. group order 2, simple
B[1042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,6,8,12,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,9,12,13],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,4,8,10,11,12],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,6,8,9,11],[3,4,7,8,12,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,12]];
G[1042]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1043: autom. group order 2, simple
B[1043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,5,6,8,9,13],[1,6,9,10,11,13],[1,7,8,10,12,13],[2,3,6,9,12,13],[2,4,5,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,12]];
G[1043]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1044: autom. group order 2, simple
B[1044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,5,6,8,12,13],[1,6,9,10,11,13],[1,7,8,9,10,13],[2,3,6,9,12,13],[2,4,5,9,10,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,12]];
G[1044]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1045: autom. group order 2, simple, derived
B[1045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,6,10,11,13],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,7,10,12,13],[3,5,8,9,11,13],[4,5,6,7,11,13]];
G[1045]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 1046: autom. group order 2, simple, derived
B[1046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,9,12,13],[3,5,8,9,10,12],[4,5,6,7,12,13]];
G[1046]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1047: autom. group order 2, simple
B[1047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,8,9,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,10,12],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,5,8,11,12,13],[4,5,6,7,10,12]];
G[1047]:=Group([(1,9)(3,10)(4,13)(6,8)(7,11)]);
# Design 1048: autom. group order 2, simple, derived
B[1048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,5,6,9,12,13],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[3,5,8,9,10,12],[4,5,6,7,12,13]];
G[1048]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1049: autom. group order 2, simple, derived
B[1049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,8,9,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,10,12],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,7,8,9,12],[3,5,8,11,12,13],[4,5,6,7,10,12]];
G[1049]:=Group([(1,9)(3,10)(4,13)(6,8)(7,11)]);
# Design 1050: autom. group order 2, simple, derived
B[1050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,7,12,13],[2,4,6,8,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,9,12,13],[4,5,7,9,10,12]];
G[1050]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1051: autom. group order 2, simple, derived
B[1051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,5,6,9,12,13],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,7,12,13],[2,4,6,8,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,7,9,10,12]];
G[1051]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1052: autom. group order 2, simple, derived
B[1052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,8,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,5,6,10,12,13],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,4,6,9,11,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,7,8,9,10]];
G[1052]:=Group([(2,11)(3,12)(5,8)(7,10)]);
# Design 1053: autom. group order 2, simple, derived
B[1053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,6,9,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,7,9,10,12]];
G[1053]:=Group([(2,11)(3,12)(5,8)]);
# Design 1054: autom. group order 2, simple, derived
B[1054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,6,8,10,11],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,7,9,10,12]];
G[1054]:=Group([(2,11)(3,12)(5,8)]);
# Design 1055: autom. group order 2, simple, derived
B[1055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,9,10,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,11],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,7,8,10,12],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,7,9,10,12]];
G[1055]:=Group([(1,11)(3,13)(4,10)(6,8)]);
# Design 1056: autom. group order 2, simple, derived
B[1056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,8,10,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,5,6,7,12,13],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,7,8,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,4,6,9,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,6,7,9,11],[3,5,10,11,12,13],[4,5,7,8,9,10]];
G[1056]:=Group([(2,11)(3,12)(5,8)(7,10)]);
# Design 1057: autom. group order 2, simple
B[1057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,11,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,6,7,10,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,7,12,13],[2,4,6,8,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,9,12,13],[4,5,8,9,11,12]];
G[1057]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1058: autom. group order 2, simple, derived
B[1058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,6,11,12],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,6,9,10,13],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[1058]:=Group([(1,10)(3,13)(5,11)(7,9)]);
# Design 1059: autom. group order 2, simple, derived
B[1059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,13],[1,4,5,7,8,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,6,11,12],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,10],[3,5,6,9,10,13],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[1059]:=Group([(1,10)(3,13)(5,11)(7,9)]);
# Design 1060: autom. group order 2, simple
B[1060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,8,9,10,13],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,9,11,13],[2,4,5,6,8,13],[2,4,8,10,11,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,8,9,10],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,8,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[1060]:=Group([(1,12)(2,5)(3,7)(4,13)(9,11)]);
# Design 1061: autom. group order 2, simple
B[1061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,9,11,13],[2,4,5,6,8,13],[2,4,8,9,10,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,4,7,9,11,13],[3,5,6,8,9,10],[3,5,7,8,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[1061]:=Group([(1,12)(2,5)(3,7)(4,13)(9,11)]);
# Design 1062: autom. group order 2, simple
B[1062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,5,8,9,10,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,9,10,11],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,12]];
G[1062]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1063: autom. group order 2, simple
B[1063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,4,6,10,11,12],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,12]];
G[1063]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1064: autom. group order 2, simple
B[1064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,5,8,9,10,13],[1,6,7,8,12,13],[1,6,9,10,11,13],[2,3,6,9,12,13],[2,4,5,10,12,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,12]];
G[1064]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1065: autom. group order 2, simple
B[1065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[1,6,9,10,11,13],[2,3,6,9,12,13],[2,4,5,9,10,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,12]];
G[1065]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1066: autom. group order 2, simple
B[1066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,9,12,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,10,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,7,9,10,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,7,8,11,12],[4,5,6,7,9,13]];
G[1066]:=Group([(1,10)(3,9)(4,12)(6,11)(8,13)]);
# Design 1067: autom. group order 2, simple, derived
B[1067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,6,10,11,12],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,7,8,10,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,10,13],[2,4,5,8,11,12],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,7,9,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,5,7,8,12,13],[4,5,6,7,10,11]];
G[1067]:=Group([(1,9)(3,10)(4,12)(6,13)(8,11)]);
# Design 1068: autom. group order 2, simple, derived
B[1068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,11,12,13],[1,3,6,8,9,11],[1,4,5,7,8,12],[1,4,5,9,10,13],[1,4,6,10,11,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,8,10,13],[2,4,5,9,11,12],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,7,9,10,11],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,8,11,13]];
G[1068]:=Group([(2,8)(3,7)(6,12)(9,13)]);
# Design 1069: autom. group order 2, simple
B[1069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,9,11],[1,5,8,10,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,7,8,9,12,13],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[1069]:=Group([(1,8)(3,7)(5,13)(6,11)(10,12)]);
# Design 1070: autom. group order 2, simple
B[1070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,8,11,12],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,5,8,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,9,13],[2,4,5,10,11,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,11,12],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,7,8,10,13],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[1070]:=Group([(1,7)(3,8)(5,12)(6,13)(10,11)]);
# Design 1071: autom. group order 2, simple, derived
B[1071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,7,10,13],[2,4,5,8,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,8,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,12,13],[3,4,9,10,11,13],[3,5,6,10,11,12],[3,5,7,8,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13]];
G[1071]:=Group([(2,12)(3,13)(4,10)(6,8)]);
# Design 1072: autom. group order 2, simple
B[1072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,10,11,13],[2,4,5,7,8,13],[2,4,6,8,10,12],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,7,8,9,10,13],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,8,11,12,13],[3,5,6,7,10,12],[3,5,7,8,11,12],[3,5,8,9,10,11],[4,5,6,9,11,13]];
G[1072]:=Group([(2,12)(3,13)(4,10)(6,8)]);
# Design 1073: autom. group order 2, simple, derived
B[1073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,9,10,11,12],[1,3,6,7,11,13],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,7,9,13],[2,7,8,9,11,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,5,8,10,11,13],[4,5,6,9,11,12]];
G[1073]:=Group([(1,7)(3,8)(5,11)(6,12)(10,13)]);
# Design 1074: autom. group order 2, simple, derived
B[1074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,6,11,13],[2,4,6,8,9,12],[2,4,7,9,12,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,10],[3,5,6,7,12,13],[3,5,8,9,12,13],[4,5,7,8,10,11]];
G[1074]:=Group([(2,12)(3,11)(4,9)(6,8)]);
# Design 1075: autom. group order 2, simple, derived
B[1075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,9,10,11,13],[1,3,6,8,11,13],[1,4,5,8,12,13],[1,4,5,9,12,13],[1,4,6,7,9,10],[1,5,7,8,10,11],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,6,11,12],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,7,8,9,11]];
G[1075]:=Group([(1,10)(3,13)(5,11)]);
# Design 1076: autom. group order 2, simple
B[1076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,9,13],[1,4,5,7,10,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,5,8,9,11,12],[1,6,7,10,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,7,9,11,13]];
G[1076]:=Group([(1,13)(3,12)(4,5)(7,10)(8,9)]);
# Design 1077: autom. group order 2, simple
B[1077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,5,8,9,10,13],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,8,9,12,13],[2,4,5,6,12,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,7,8,9,12]];
G[1077]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1078: autom. group order 2, simple
B[1078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,8,10],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[1,6,8,9,11,13],[2,3,8,9,12,13],[2,4,5,6,9,13],[2,4,6,10,11,12],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,7,8,9,12]];
G[1078]:=Group([(1,11)(2,7)(3,5)(4,13)(9,12)]);
# Design 1079: autom. group order 2, simple
B[1079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,9,13],[1,4,5,8,9,13],[1,4,5,8,10,11],[1,4,6,7,10,12],[1,5,7,10,11,12],[1,6,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,7,9,11,13]];
G[1079]:=Group([(1,13)(3,12)(4,5)(7,10)(8,9)]);
# Design 1080: autom. group order 2, simple, derived
B[1080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,9,10,11],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,6,8,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,7,8,9,11]];
G[1080]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 1081: autom. group order 2, simple, derived
B[1081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,9,10,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,6,9,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,7,8,9,11]];
G[1081]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 1082: autom. group order 2, simple
B[1082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,5,8,9,11],[1,4,6,7,10,12],[1,5,8,10,12,13],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,9,10,12,13],[2,4,5,6,9,13],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,7,8,9,13],[4,5,9,10,11,12]];
G[1082]:=Group([(1,7)(3,8)(5,10)(6,13)(9,11)]);
# Design 1083: autom. group order 2, simple
B[1083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,5,8,9,11],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,6,7,9,11],[2,4,7,8,12,13],[2,5,6,8,10,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,6,9,10,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,7,9,11,12],[4,5,8,9,11,13]];
G[1083]:=Group([(1,13)(3,12)(4,5)(7,10)(8,9)]);
# Design 1084: autom. group order 2, simple
B[1084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,5,8,9,11],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,8,9,11,13]];
G[1084]:=Group([(1,13)(3,12)(4,5)(7,10)(8,9)]);
# Design 1085: autom. group order 2, simple
B[1085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,5,8,9,11],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,6,8,10,11],[2,4,7,8,12,13],[2,5,6,7,9,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,8,11,12],[4,5,8,9,11,13]];
G[1085]:=Group([(1,13)(3,12)(4,5)(7,10)(8,9)]);
# Design 1086: autom. group order 2, simple
B[1086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,5,8,9,11],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,6,8,10,11],[2,4,7,8,12,13],[2,5,6,7,9,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,6,9,10,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,8,9,11,13]];
G[1086]:=Group([(1,13)(3,12)(4,5)(7,10)(8,9)]);
# Design 1087: autom. group order 2, simple, derived
B[1087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,8,10,13],[2,4,5,6,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,9,10,11,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,9,10],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,7,8,9,13]];
G[1087]:=Group([(2,12)(3,13)(4,10)(6,8)]);
# Design 1088: autom. group order 2, simple
B[1088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,8,10,11,13],[2,4,5,6,7,13],[2,4,6,8,10,12],[2,4,9,10,11,12],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,6,11,12,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,9,10,11],[3,5,7,8,10,12],[4,5,8,9,11,13]];
G[1088]:=Group([(2,12)(3,13)(4,10)(6,8)]);
# Design 1089: autom. group order 2, simple
B[1089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,9,10,11,12],[1,3,6,7,8,11],[1,4,5,7,12,13],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,5,8,10,11,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,7,10,12,13],[2,4,5,6,10,11],[2,4,6,9,11,13],[2,4,7,8,9,11],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,7,10,11,12]];
G[1089]:=Group([(1,8)(3,7)(5,9)(6,11)(10,13)]);
# Design 1090: autom. group order 2, simple, derived
B[1090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,10,11,13],[1,4,5,7,12,13],[1,4,5,8,9,10],[1,4,6,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,9,10,12,13],[2,4,5,6,11,13],[2,4,7,10,11,12],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,8,9,11],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,7,8,12],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,7,9,10,11]];
G[1090]:=Group([(1,13)(2,9)(5,12)]);
# Design 1091: autom. group order 2, simple, derived
B[1091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,11,12,13],[1,3,6,9,11,13],[1,4,5,7,12,13],[1,4,5,8,9,10],[1,4,6,10,11,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,9,10,12,13],[2,4,5,6,11,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,8,10,11],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,8,10,13],[3,5,6,7,8,12],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,7,9,11,12]];
G[1091]:=Group([(1,13)(2,10)(5,12)]);
# Design 1092: autom. group order 2, simple, derived
B[1092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,11],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,8,10,13],[1,5,8,10,12,13],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,4,5,6,11,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,6,9,10,12],[2,6,7,8,11,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,5,7,10,11,13],[4,5,7,10,11,12]];
G[1092]:=Group([(1,13)(3,11)(5,6)(7,10)(8,9)]);
# Design 1093: autom. group order 2, simple, derived
B[1093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,5,8,9,12,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,6,8,13],[2,4,7,8,11,12],[2,4,9,11,12,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,6,7,8,9,10],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,7,9,10,11]];
G[1093]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 1094: autom. group order 2, simple
B[1094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,6,10,12],[2,4,7,8,11,12],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,6,9,11,13],[2,6,7,8,9,10],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,7,9,10,11]];
G[1094]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 1095: autom. group order 2, simple
B[1095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,9,10,11,12],[2,3,8,10,12,13],[2,4,5,6,10,12],[2,4,7,8,11,12],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,7,9,10,11]];
G[1095]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 1096: autom. group order 2, simple, derived
B[1096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,8,10,12,13],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,4,9,11,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,7,9,10,11]];
G[1096]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 1097: autom. group order 2, simple, derived
B[1097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,11],[1,4,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,9,13],[1,5,7,9,12,13],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,8,10,12,13],[2,4,5,6,11,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,6,9,10,12],[2,6,7,8,11,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,5,7,10,11,13],[4,5,7,10,11,12]];
G[1097]:=Group([(1,13)(3,11)(5,6)(7,10)(8,9)]);
# Design 1098: autom. group order 2, simple, derived
B[1098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,10,11],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,9,12,13],[1,5,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,6,11,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,6,9,10,12],[2,6,7,8,11,13],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,9,11,13],[3,5,7,10,12,13],[4,5,8,10,11,12]];
G[1098]:=Group([(1,13)(3,11)(5,6)(7,10)(8,9)]);
# Design 1099: autom. group order 2, simple, derived
B[1099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,5,8,9,11],[1,4,6,10,12,13],[1,5,7,8,10,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,8,10,12,13],[2,4,5,6,11,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,6,9,10,12],[2,6,7,8,11,13],[3,4,6,7,9,12],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,5,7,9,11,13],[3,5,8,9,12,13],[4,5,8,10,11,12]];
G[1099]:=Group([(1,13)(3,11)(5,6)(7,10)(8,9)]);
# Design 1100: autom. group order 2, simple, derived
B[1100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,7,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1100]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1101: autom. group order 2, simple, derived
B[1101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,7,13],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,10,11,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1101]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1102: autom. group order 2, simple, derived
B[1102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1102]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1103: autom. group order 2, simple, derived
B[1103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,11,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1103]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1104: autom. group order 2, simple, derived
B[1104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1104]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1105: autom. group order 2, simple, derived
B[1105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,5,7,11,13],[1,4,6,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1105]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1106: autom. group order 2, simple
B[1106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,8,12],[1,4,5,7,11,13],[1,4,6,9,10,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1106]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1107: autom. group order 2, simple
B[1107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,8,12],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,11,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1107]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1108: autom. group order 2, simple, derived
B[1108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,5,8,11,12],[1,4,6,7,9,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1108]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1109: autom. group order 2, simple, derived
B[1109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,5,8,11,12],[1,4,6,7,11,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1109]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1110: autom. group order 2, simple
B[1110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,8,12],[1,4,5,10,11,13],[1,4,6,7,9,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1110]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1111: autom. group order 2, simple
B[1111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,8,10,12,13],[1,4,5,6,8,12],[1,4,5,10,11,13],[1,4,6,7,11,13],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,6,8,10,11,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,5,7,8,9,13],[4,5,7,8,9,11]];
G[1111]:=Group([(1,8)(2,13)(4,12)(7,10)]);
# Design 1112: autom. group order 2, simple, derived
B[1112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,8,10,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,6,10,11,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,10,12,13],[2,4,5,9,11,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,7,10,12,13]];
G[1112]:=Group([(1,11)(3,13)(5,8)(6,10)(7,9)]);
# Design 1113: autom. group order 2, simple, derived
B[1113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,8,10,13],[1,4,5,6,7,13],[1,4,5,8,11,12],[1,4,6,10,11,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,9,12],[2,4,5,9,11,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,6,10,12,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,7,8,9,12]];
G[1113]:=Group([(1,11)(3,13)(5,8)(6,10)(7,9)]);
# Design 1114: autom. group order 2, simple, derived
B[1114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,6,7,12],[1,4,5,8,11,13],[1,4,6,9,11,13],[1,5,8,9,10,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,11],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,9,11,12],[2,6,7,8,12,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,8,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,7,8,10,11]];
G[1114]:=Group([(1,13)(3,12)(5,8)(6,9)(7,10)]);
# Design 1115: autom. group order 2, simple, derived
B[1115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,10,13],[1,3,7,10,11,13],[1,4,5,6,7,12],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,4,7,9,11,12],[2,5,6,7,9,13],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,7,8,9,10]];
G[1115]:=Group([(1,11)(3,12)(4,10)(5,7)]);
# Design 1116: autom. group order 2, simple, derived
B[1116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,6,9,10,11],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,7,8,9,11]];
G[1116]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 1117: autom. group order 2, simple
B[1117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,7,9,12,13],[1,4,5,6,7,12],[1,4,5,8,11,13],[1,4,6,8,9,11],[1,5,8,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,8,10],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,7,9,11,12]];
G[1117]:=Group([(1,8)(3,7)(5,13)(6,9)(10,12)]);
# Design 1118: autom. group order 2, simple
B[1118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,11,13],[1,4,5,6,7,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,6,11,12,13],[3,5,8,9,10,13],[4,5,7,8,9,11]];
G[1118]:=Group([(1,10)(3,13)(5,11)(7,9)]);
# Design 1119: autom. group order 2, simple, derived
B[1119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,7,10,11,13],[1,4,5,6,9,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,7,8,9,11]];
G[1119]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 1120: autom. group order 2, simple
B[1120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,10,13],[1,4,5,6,8,13],[1,4,5,7,11,12],[1,4,6,10,11,12],[1,5,8,9,12,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,9,10],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,7,9,10,11]];
G[1120]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 1121: autom. group order 2, simple
B[1121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,11,13],[1,4,5,6,8,13],[1,4,5,7,10,12],[1,4,6,10,11,12],[1,5,8,9,12,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,9,11,13],[2,4,7,8,9,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,7,9,10,11]];
G[1121]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 1122: autom. group order 2, simple
B[1122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,11,13],[1,4,5,6,9,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,6,11,12,13],[3,5,8,9,10,13],[4,5,7,8,9,11]];
G[1122]:=Group([(1,10)(3,13)(5,11)(7,9)]);
# Design 1123: autom. group order 2, simple, derived
B[1123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,12,13],[1,4,5,6,11,13],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,5,8,9,11,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,7,8,9],[2,4,10,11,12,13],[2,5,6,7,11,12],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,7,8,9,11]];
G[1123]:=Group([(1,7)(2,13)(4,12)]);
# Design 1124: autom. group order 2, simple
B[1124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,9,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[1124]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 1125: autom. group order 2, simple
B[1125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,7,9,10,11],[1,4,5,6,9,11],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,8,9,12,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,9,10,11,13],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,10,12],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[1125]:=Group([(1,13)(3,11)(4,10)(6,7)(8,9)]);
# Design 1126: autom. group order 2, simple, derived
B[1126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,7,10,12,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,4,6,7,9,11],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,8,12,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,7,9,10,13],[2,6,8,9,10,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,7,8,9,12]];
G[1126]:=Group([(1,7)(3,13)(4,11)]);
# Design 1127: autom. group order 2, simple
B[1127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,7,9,10,11],[1,4,5,6,9,11],[1,4,5,10,12,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,8,9,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,9,11,12,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,7,8,9,11]];
G[1127]:=Group([(1,10)(3,9)(4,12)(6,8)]);
# Design 1128: autom. group order 2, simple
B[1128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,7,9,10,11],[1,4,5,6,9,11],[1,4,5,10,12,13],[1,4,6,8,10,12],[1,5,7,8,9,13],[1,6,7,8,10,13],[1,6,9,11,12,13],[2,3,6,8,9,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,7,8,9,11]];
G[1128]:=Group([(1,10)(3,9)(4,12)(6,8)]);
# Design 1129: autom. group order 2, simple, derived
B[1129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,7,9,10,13],[1,4,5,6,9,11],[1,4,5,10,12,13],[1,4,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,9,11,12,13],[2,3,6,8,9,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,7,8,9,13]];
G[1129]:=Group([(1,10)(3,9)(4,12)(6,8)]);
# Design 1130: autom. group order 2, simple, derived
B[1130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,8,10,13],[1,4,5,6,11,13],[1,4,5,8,9,12],[1,4,6,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,8,9,11],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,9,10,11,13],[2,6,8,9,12,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,7,8,9,11]];
G[1130]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 1131: autom. group order 2, simple, derived
B[1131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,6,7,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,5,7,8,12,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,5,6,9,10,12],[3,5,7,8,10,11],[4,5,8,9,12,13]];
G[1131]:=Group([(1,11)(3,13)(4,10)(6,8)]);
# Design 1132: autom. group order 2, simple
B[1132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,11,12,13],[1,3,8,10,11,13],[1,4,5,6,12,13],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,5,9,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,4,5,8,10,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,7,9,10,11]];
G[1132]:=Group([(1,8)(2,13)(4,11)(7,10)]);
# Design 1133: autom. group order 2, simple
B[1133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,12],[1,4,5,6,8,11],[1,4,5,7,9,13],[1,4,6,7,10,12],[1,5,8,9,10,13],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,9,10,13],[2,4,5,11,12,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,9,10,11,12]];
G[1133]:=Group([(1,7)(3,8)(5,10)(6,13)(9,12)]);
# Design 1134: autom. group order 2, simple
B[1134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,12],[1,4,5,6,8,11],[1,4,5,7,12,13],[1,4,6,7,9,10],[1,5,8,9,10,13],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,9,10,13],[2,4,5,9,11,13],[2,4,6,10,11,12],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,9,10,11,12]];
G[1134]:=Group([(1,7)(3,8)(5,10)(6,13)(9,12)]);
# Design 1135: autom. group order 2, simple
B[1135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,13],[1,4,5,6,8,11],[1,4,5,7,12,13],[1,4,6,7,10,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,4,5,9,11,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,7,11,13],[3,5,7,10,11,12],[4,5,8,10,11,12]];
G[1135]:=Group([(1,7)(3,8)(5,13)(6,10)(9,11)]);
# Design 1136: autom. group order 2, simple, derived
B[1136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,11,13],[1,3,10,11,12,13],[1,4,5,6,12,13],[1,4,5,7,10,13],[1,4,6,8,9,11],[1,5,7,8,9,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,12,13],[2,4,5,10,11,12],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,8,9,10,13],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,7,9,11,12]];
G[1136]:=Group([(1,8)(3,13)(4,11)]);
# Design 1137: autom. group order 2, simple
B[1137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,8,11,12,13],[1,4,5,6,11,12],[1,4,5,7,9,13],[1,4,6,8,10,11],[1,5,7,8,12,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,4,5,8,10,13],[2,4,6,9,12,13],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,12],[2,6,7,8,9,11],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,6,10,11,13],[3,5,8,9,11,13],[4,5,7,9,11,12]];
G[1137]:=Group([(2,7)(3,13)(4,10)(5,9)(8,11)]);
# Design 1138: autom. group order 2, simple
B[1138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,11,12,13],[1,3,8,10,11,13],[1,4,5,6,12,13],[1,4,5,7,11,13],[1,4,6,8,9,10],[1,5,9,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,7,9,10,11]];
G[1138]:=Group([(1,8)(2,13)(4,11)(7,10)]);
# Design 1139: autom. group order 2, simple
B[1139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,11,12,13],[1,3,8,10,11,13],[1,4,5,6,12,13],[1,4,5,10,11,13],[1,4,6,7,8,9],[1,5,7,9,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,4,5,7,8,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,7,9,11,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,7,9,10,11]];
G[1139]:=Group([(1,8)(2,13)(4,11)(7,10)]);
# Design 1140: autom. group order 2, simple
B[1140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,12],[1,4,5,6,9,11],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,7,8,9,13],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,7,8,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,12],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,7,8,11,12]];
G[1140]:=Group([(1,9)(3,10)(4,8)(6,13)(7,11)]);
# Design 1141: autom. group order 2, simple
B[1141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,11,12,13],[1,3,8,10,11,13],[1,4,5,6,11,12],[1,4,5,8,9,13],[1,4,6,7,10,11],[1,5,7,8,12,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,4,9,10,12,13],[2,5,6,7,8,9],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,6,8,10,12],[3,4,7,8,9,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,6,9,11,13],[3,5,8,10,11,12],[4,5,7,9,10,11]];
G[1141]:=Group([(2,13)(3,8)(4,10)(5,9)(7,11)]);
# Design 1142: autom. group order 2, simple, derived
B[1142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,6,7,10,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,11],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,9,11,13],[3,5,7,8,10,13],[4,5,8,9,10,11]];
G[1142]:=Group([(1,13)(3,12)(4,10)(6,7)(8,9)]);
# Design 1143: autom. group order 2, simple, derived
B[1143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,6,11,12],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,5,7,8,11,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,10,11,13],[4,5,8,9,10,11]];
G[1143]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 1144: autom. group order 2, simple, derived
B[1144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,6,11,12],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,11,12],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,10,11,13],[4,5,8,9,10,11]];
G[1144]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 1145: autom. group order 2, simple
B[1145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,11,12,13],[1,3,8,10,11,13],[1,4,5,6,12,13],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,4,5,7,8,11],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,7,9,10,11]];
G[1145]:=Group([(1,8)(2,13)(4,11)(7,10)]);
# Design 1146: autom. group order 2, simple, derived
B[1146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,6,9,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,7,10,12],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,7,11,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,7,9,10,12]];
G[1146]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1147: autom. group order 2, simple, derived
B[1147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,6,9,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,9,10,11,13],[3,4,6,7,11,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,8,9,12,13]];
G[1147]:=Group([(1,11)(3,13)(4,10)(6,8)(7,9)]);
# Design 1148: autom. group order 2, simple, derived
B[1148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,13],[1,4,5,6,10,11],[1,4,5,9,12,13],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,9,10,11,13],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,8,10,11,12]];
G[1148]:=Group([(1,9)(3,10)(4,13)(6,8)(7,11)]);
# Design 1149: autom. group order 2, simple
B[1149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,9,10,11,12],[1,3,7,8,9,11],[1,4,5,6,7,11],[1,4,5,8,12,13],[1,4,6,9,12,13],[1,5,7,8,10,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,6,8,10,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,7,9,11,12]];
G[1149]:=Group([(1,13)(3,11)(5,8)(6,9)(7,10)]);
# Design 1150: autom. group order 2, simple, derived
B[1150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,7,10,13],[1,4,6,8,10,11],[1,5,7,8,9,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,4,5,9,11,13],[2,4,6,7,8,9],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[1150]:=Group([(1,8)(2,13)(4,11)]);
# Design 1151: autom. group order 2, simple, derived
B[1151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,7,10,11],[1,4,6,9,10,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,7,8,9],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,8,9,10,11]];
G[1151]:=Group([(1,7)(2,13)(4,11)]);
# Design 1152: autom. group order 2, simple, derived
B[1152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,7,10,11],[1,4,6,8,9,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,7,9,10],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,8,9,10,11]];
G[1152]:=Group([(1,7)(2,13)(4,11)]);
# Design 1153: autom. group order 2, simple
B[1153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,7,9,12,13],[1,4,5,6,7,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,9,10,13],[2,6,7,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,11],[3,5,6,9,11,12],[3,5,7,8,10,12],[3,5,7,8,10,13],[4,5,7,9,11,13]];
G[1153]:=Group([(1,11)(2,10)(3,4)(5,12)(7,9)]);
# Design 1154: autom. group order 2, simple, derived
B[1154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,5,8,10,12],[1,4,6,8,9,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,4,5,9,10,11],[2,4,7,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[3,5,7,8,10,12],[4,5,7,10,11,13]];
G[1154]:=Group([(1,10)(3,9)(6,11)(7,13)(8,12)]);
# Design 1155: autom. group order 2, simple, derived
B[1155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,11,12],[1,4,5,6,7,12],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,4,5,9,10,11],[2,4,7,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,11,12],[2,6,7,8,9,10],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,8,9,11,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,5,7,9,11,13],[4,5,7,10,11,12]];
G[1155]:=Group([(1,10)(3,9)(6,11)(7,12)(8,13)]);
# Design 1156: autom. group order 2, simple, derived
B[1156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,5,8,10,12],[1,4,6,8,9,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,4,5,9,10,11],[2,4,7,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,7,8,10,12],[3,5,8,9,11,13],[4,5,7,10,11,13]];
G[1156]:=Group([(1,10)(3,9)(6,11)(7,13)(8,12)]);
# Design 1157: autom. group order 2, simple, derived
B[1157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,11,12],[1,4,5,6,7,12],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,4,5,9,10,11],[2,4,7,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,11,12],[2,6,7,8,9,10],[3,4,6,8,9,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,9,13],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,7,10,11,12]];
G[1157]:=Group([(1,10)(3,9)(6,11)(7,12)(8,13)]);
# Design 1158: autom. group order 2, simple
B[1158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,7,9,12,13],[1,4,5,6,9,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,4,5,7,8,12],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,10,13],[3,5,8,9,10,12],[4,5,7,9,11,13]];
G[1158]:=Group([(1,11)(2,10)(3,4)(5,12)(7,9)]);
# Design 1159: autom. group order 2, simple, derived
B[1159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,12],[1,4,5,6,8,11],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,7,9,11],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,8,10,11,12]];
G[1159]:=Group([(1,10)(3,9)(6,12)(7,13)(8,11)]);
# Design 1160: autom. group order 2, simple, derived
B[1160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,12],[1,4,5,6,8,11],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,9,11],[3,5,7,10,11,13],[3,5,8,9,12,13],[4,5,8,10,11,12]];
G[1160]:=Group([(1,10)(3,9)(6,12)(7,13)(8,11)]);
# Design 1161: autom. group order 2, simple
B[1161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,9,10,11],[1,5,6,8,10,13],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,10,11,13],[2,4,5,6,9,12],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,8,9,10],[3,4,6,7,8,12],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,7,9,11,13]];
G[1161]:=Group([(1,11)(2,8)(3,5)(4,12)(7,9)]);
# Design 1162: autom. group order 2, simple
B[1162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,9,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,7,10,11],[1,5,6,8,10,12],[1,6,7,8,12,13],[1,6,9,10,11,13],[2,3,6,10,11,12],[2,4,5,6,7,13],[2,4,6,9,11,12],[2,4,8,10,12,13],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[4,5,7,9,11,12]];
G[1162]:=Group([(1,11)(2,8)(3,5)(4,13)(7,9)]);
# Design 1163: autom. group order 2, simple
B[1163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,12],[1,4,5,7,9,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,7,8,13],[2,4,5,6,11,12],[2,4,6,10,12,13],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[4,5,7,8,11,12]];
G[1163]:=Group([(1,9)(3,10)(4,8)(6,13)(7,12)]);
# Design 1164: autom. group order 2, simple
B[1164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,13],[1,4,5,7,8,12],[1,4,5,10,11,13],[1,4,6,7,9,10],[1,5,6,8,9,13],[1,6,7,8,12,13],[1,6,9,10,11,12],[2,3,6,7,9,13],[2,4,5,6,11,12],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,12],[4,5,7,9,11,13]];
G[1164]:=Group([(1,13)(2,4)(3,10)(5,12)(7,9)]);
# Design 1165: autom. group order 2, simple
B[1165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,7,10,11],[1,5,6,8,10,11],[1,6,7,9,12,13],[1,6,8,10,12,13],[2,3,6,10,11,12],[2,4,5,6,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,11],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[4,5,9,10,11,12]];
G[1165]:=Group([(1,7)(3,8)(5,10)(6,13)(9,12)]);
# Design 1166: autom. group order 2, simple
B[1166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,7,9,10],[1,5,6,7,8,13],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,7,9,13],[2,4,5,6,11,12],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,7,8,10,11],[2,5,7,8,12,13],[2,6,8,9,10,11],[3,4,6,7,8,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,7,9,11,13]];
G[1166]:=Group([(1,13)(2,4)(3,10)(5,12)(7,9)]);
# Design 1167: autom. group order 2, simple, derived
B[1167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,7,8,11,13],[1,4,5,7,10,13],[1,4,5,8,11,12],[1,4,6,7,9,13],[1,5,6,8,9,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,12,13],[2,4,5,6,11,13],[2,4,6,8,9,10],[2,4,8,10,12,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[1167]:=Group([(1,8)(2,13)(4,11)]);
# Design 1168: autom. group order 2, simple, derived
B[1168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,10,11,12,13],[1,3,7,8,11,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,6,11,13],[2,4,6,7,8,9],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,8,9,11,12]];
G[1168]:=Group([(1,7)(2,13)(4,11)]);
# Design 1169: autom. group order 2, simple, derived
B[1169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,9,10,12],[1,5,6,8,11,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,9,11,12],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,9,10,11,13],[2,7,8,9,12,13],[3,4,6,7,9,13],[3,4,8,9,10,11],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,10,12],[4,5,7,9,11,12]];
G[1169]:=Group([(1,13)(3,12)(5,8)(7,10)]);
# Design 1170: autom. group order 2, simple
B[1170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,11,12,13],[1,3,7,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,4,6,9,10,11],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,7,8,9,10,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,7,9,11,12]];
G[1170]:=Group([(1,10)(3,9)(4,13)(6,12)]);
# Design 1171: autom. group order 2, simple
B[1171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,11,12,13],[1,3,7,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,4,6,9,10,11],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,7,8,9,10,13],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,7,9,11,12]];
G[1171]:=Group([(1,10)(3,9)(4,13)(6,12)]);
# Design 1172: autom. group order 2, simple, derived
B[1172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,11,12],[2,5,9,10,11,13],[2,7,8,9,12,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,8,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,7,8,10,11]];
G[1172]:=Group([(1,13)(3,12)(5,8)(7,10)]);
# Design 1173: autom. group order 2, simple, derived
B[1173]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,11,12],[2,5,9,10,11,13],[2,7,8,9,12,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,7,8,10,11]];
G[1173]:=Group([(1,13)(3,12)(5,8)(7,10)]);
# Design 1174: autom. group order 2, simple
B[1174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,11,13],[1,4,5,7,10,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,9,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,7,11,12],[2,4,6,8,9,13],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,7,8,9,10,12],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,7,9,10,11]];
G[1174]:=Group([(1,13)(2,10)(5,12)(6,9)(7,11)]);
# Design 1175: autom. group order 2, simple
B[1175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,10,11,13],[1,3,7,8,11,13],[1,4,5,8,12,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,5,6,7,9,13],[1,6,7,8,10,12],[1,6,9,11,12,13],[2,3,6,10,12,13],[2,4,5,7,12,13],[2,4,6,7,11,12],[2,4,6,8,9,13],[2,5,6,8,10,11],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11]];
G[1175]:=Group([(1,13)(2,10)(5,12)(6,9)(7,11)]);
# Design 1176: autom. group order 2, simple, derived
B[1176]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,8,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,11],[1,5,6,8,12,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,9,12,13],[2,4,5,7,11,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,6,7,8,10],[2,5,8,9,10,12],[2,8,9,10,11,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,7,9,12,13]];
G[1176]:=Group([(1,11)(3,13)(5,8)]);
# Design 1177: autom. group order 2, simple, derived
B[1177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,8,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,9,12,13],[2,4,5,7,11,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,6,7,8,10],[2,5,8,9,10,12],[2,8,9,10,11,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,7,9,12,13]];
G[1177]:=Group([(1,11)(3,13)(5,8)]);
# Design 1178: autom. group order 2, simple, derived
B[1178]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,6,8,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,10,13],[2,4,5,7,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,11,13],[2,5,9,10,12,13],[2,8,9,10,11,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,7,8,10,13]];
G[1178]:=Group([(1,9)(3,10)(4,12)(6,13)(7,11)]);
# Design 1179: autom. group order 2, simple
B[1179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,10,11,12],[1,5,6,8,9,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,10,13],[2,4,5,7,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,11,13],[2,5,9,10,12,13],[2,8,9,10,11,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,7,8,10,11],[4,5,7,8,10,13]];
G[1179]:=Group([(1,9)(3,10)(4,12)(6,13)(7,11)]);
# Design 1180: autom. group order 2, simple
B[1180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,11,12],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,10,13],[1,5,6,8,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,6,8,11,12],[2,5,6,7,11,13],[2,5,9,10,11,12],[2,8,9,10,12,13],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[4,5,7,8,10,11]];
G[1180]:=Group([(1,10)(3,9)(4,12)(6,11)(7,13)]);
# Design 1181: autom. group order 2, simple, derived
B[1181]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,7,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,11,12],[1,5,6,8,10,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,4,5,7,11,13],[2,4,6,7,9,10],[2,4,6,8,9,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,8,9,10,11,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,7,8,10,12]];
G[1181]:=Group([(1,9)(3,10)(4,11)(6,12)(7,13)]);
# Design 1182: autom. group order 2, simple
B[1182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,11,12],[1,3,7,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,4,5,7,11,13],[2,4,6,7,9,10],[2,4,6,8,9,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,8,9,10,11,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,8,10,13],[4,5,7,8,10,12]];
G[1182]:=Group([(1,9)(3,10)(4,11)(6,12)(7,13)]);
# Design 1183: autom. group order 2, simple, derived
B[1183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,7,8,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,10,11,12],[1,5,6,8,9,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,8,10,12],[2,4,5,7,11,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,8,9,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,7,8,10,12]];
G[1183]:=Group([(1,11)(3,13)(5,8)]);
# Design 1184: autom. group order 2, simple, derived
B[1184]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,5,6,8,9,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,10,11,13],[2,5,7,9,11,12],[2,8,9,10,12,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,7,8,10,11]];
G[1184]:=Group([(1,12)(3,13)(5,8)]);
# Design 1185: autom. group order 2, simple, derived
B[1185]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,11,13],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,8,9,10,12,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,7,10,11,13]];
G[1185]:=Group([(1,12)(3,13)(5,8)]);
# Design 1186: autom. group order 2, simple, derived
B[1186]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,10,11,13],[2,5,7,9,11,12],[2,8,9,10,12,13],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,7,8,10,11]];
G[1186]:=Group([(1,12)(3,13)(5,8)]);
# Design 1187: autom. group order 2, simple, derived
B[1187]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,6,8,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,11,13],[2,4,5,7,12,13],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,5,6,7,8,10],[2,5,7,9,11,12],[2,8,9,10,12,13],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,5,8,9,10,13],[4,5,7,10,11,13]];
G[1187]:=Group([(1,12)(3,13)(5,8)]);
# Design 1188: autom. group order 2, simple
B[1188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,7,10,12],[1,5,6,8,11,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,4,5,9,11,13],[2,4,6,7,8,13],[2,4,6,9,11,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,7,8,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[4,5,8,9,10,12]];
G[1188]:=Group([(1,7)(3,8)(5,13)(9,11)]);
# Design 1189: autom. group order 2, simple
B[1189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,7,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,5,6,8,12,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,10,11],[2,4,5,9,12,13],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,5,6,10,11,13],[2,5,7,8,9,11],[2,7,8,10,12,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,6,7,11,12],[3,5,7,8,10,12],[4,5,8,9,10,11]];
G[1189]:=Group([(1,7)(3,8)(5,13)(9,12)]);
# Design 1190: autom. group order 2, simple
B[1190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,5,8,9,11],[1,4,6,7,9,12],[1,5,6,8,10,13],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,4,6,10,11,12],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,7,8,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,6,7,11,13],[3,5,7,8,10,12],[4,5,8,9,11,12]];
G[1190]:=Group([(1,7)(3,8)(5,13)(10,11)]);
# Design 1191: autom. group order 2, simple
B[1191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,5,8,11,12],[1,4,6,7,10,12],[1,5,6,8,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,4,5,9,11,13],[2,4,6,7,8,13],[2,4,6,9,10,11],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,7,8,10,11,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,6,7,11,13],[3,5,7,8,9,10],[4,5,8,10,11,12]];
G[1191]:=Group([(1,7)(3,8)(5,13)(9,11)]);
# Design 1192: autom. group order 2, simple, derived
B[1192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,10,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,8,11],[2,4,5,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,7,8,10,12,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,7,8,9,11]];
G[1192]:=Group([(1,12)(3,13)(5,7)(8,9)]);
# Design 1193: autom. group order 2, simple, derived
B[1193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,8,11],[2,4,5,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,7,8,10,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,7,8,9,11]];
G[1193]:=Group([(1,12)(3,13)(5,7)(8,9)]);
# Design 1194: autom. group order 2, simple, derived
B[1194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,11,12,13],[1,3,8,9,10,11],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,4,6,9,10,11],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,7,8,9,10,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,8,9,11,12]];
G[1194]:=Group([(1,10)(3,9)(4,13)(6,12)]);
# Design 1195: autom. group order 2, simple, derived
B[1195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,5,6,7,11,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,11],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,12,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[4,5,9,10,11,13]];
G[1195]:=Group([(1,12)(3,13)(5,7)(8,9)]);
# Design 1196: autom. group order 2, simple, derived
B[1196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,5,6,7,11,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,11],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,12,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,9,10,11,13]];
G[1196]:=Group([(1,12)(3,13)(5,7)(8,9)]);
# Design 1197: autom. group order 2, simple, derived
B[1197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,7,8,10,13],[1,3,10,11,12,13],[1,4,5,7,11,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,6,7,10,12],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,4,5,8,11,12],[2,4,6,7,11,12],[2,4,6,9,10,13],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,7,9,10,11,12],[3,4,6,10,12,13],[3,4,7,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,8,9,10,12]];
G[1197]:=Group([(1,11)(3,12)(5,7)]);
# Design 1198: autom. group order 2, simple, derived
B[1198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,10,11,12],[1,5,6,7,8,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,8,10,11],[2,5,7,8,9,11],[2,7,8,10,12,13],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,12],[3,5,7,10,12,13],[4,5,9,10,11,13]];
G[1198]:=Group([(1,12)(3,13)(5,8)(7,9)]);
# Design 1199: autom. group order 2, simple, derived
B[1199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,13],[1,4,5,7,11,13],[1,4,5,8,10,12],[1,4,6,10,11,12],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,8,10,11],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,9,11],[2,7,8,10,12,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,8,9,10,11]];
G[1199]:=Group([(1,12)(3,13)(4,10)]);
# Design 1200: autom. group order 2, simple
B[1200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,10],[1,4,6,7,9,13],[1,4,8,11,12,13],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,6,7,8,9,11],[4,5,6,7,10,11]];
G[1200]:=Group([(1,13)(3,8)(4,10)(5,6)(7,11)]);
# Design 1201: autom. group order 2, simple
B[1201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,7,11,13],[1,4,8,9,10,13],[1,5,6,8,9,10],[1,5,9,11,12,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,11],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[1201]:=Group([(1,13)(3,8)(4,12)(5,6)(7,9)]);
# Design 1202: autom. group order 2, simple
B[1202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,8,9,13],[1,4,5,7,10,13],[1,4,6,9,10,11],[1,4,7,9,11,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,6,7,8,10],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,6,7,9,12]];
G[1202]:=Group([(1,7)(2,9)(3,12)(8,11)]);
# Design 1203: autom. group order 2, simple
B[1203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,8,9,13],[1,4,5,7,10,13],[1,4,6,8,9,10],[1,4,7,9,11,12],[1,5,6,8,11,13],[1,5,8,10,11,12],[1,6,9,10,12,13],[2,3,9,10,11,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,7,9,11]];
G[1203]:=Group([(1,7)(2,9)(3,11)(8,12)]);
# Design 1204: autom. group order 2, simple
B[1204]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,12,13],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,4,7,9,11,12],[1,5,6,8,11,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,7,8,10],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,10,12,13],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,7,9,11]];
G[1204]:=Group([(1,7)(2,9)(3,11)(8,12)]);
# Design 1205: autom. group order 2, simple
B[1205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,12,13],[1,4,5,7,10,13],[1,4,6,8,9,10],[1,4,7,9,11,12],[1,5,6,8,11,13],[1,5,8,10,11,12],[1,6,9,10,12,13],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,7,9,11]];
G[1205]:=Group([(1,7)(2,9)(3,11)(8,12)]);
# Design 1206: autom. group order 2, simple, derived
B[1206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,10,11],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,8,13],[1,5,8,9,10,13],[1,6,8,9,11,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,6,7,10,12]];
G[1206]:=Group([(1,7)(2,8)(5,11)(6,9)]);
# Design 1207: autom. group order 2, simple, derived
B[1207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,10,13],[1,4,9,10,11,12],[1,5,6,7,8,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,6,7,9,10],[2,5,8,10,11,12],[2,6,7,11,12,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,6,7,10,12]];
G[1207]:=Group([(1,7)(2,8)(5,11)(6,9)]);
# Design 1208: autom. group order 2, simple, derived
B[1208]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,9,11,13],[1,4,5,7,12,13],[1,4,6,8,11,13],[1,4,9,10,11,12],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,8,10,12,13],[2,3,10,11,12,13],[2,4,5,8,11,12],[2,4,6,8,9,10],[2,4,7,10,11,13],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1208]:=Group([(1,7)(2,8)(5,12)(6,10)]);
# Design 1209: autom. group order 2, simple, derived
B[1209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,11,13],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,8,10,12,13],[2,3,9,10,12,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1209]:=Group([(1,7)(2,8)(5,12)(6,10)]);
# Design 1210: autom. group order 2, simple, derived
B[1210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,7,8,10,12],[1,6,9,10,11,13],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1210]:=Group([(1,13)(3,8)(4,10)(5,6)(7,9)]);
# Design 1211: autom. group order 2, simple
B[1211]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,8,9,10],[1,5,7,11,12,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,11],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[1211]:=Group([(1,13)(3,8)(4,12)(5,6)(7,9)]);
# Design 1212: autom. group order 2, simple, derived
B[1212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,6,7,8,10]];
G[1212]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1213: autom. group order 2, simple
B[1213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,11,12],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,6,9,10,13],[1,5,7,8,9,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,9,11,13],[3,4,6,8,9,11],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,7,8,11,13],[3,6,7,9,12,13],[4,5,6,7,10,11]];
G[1213]:=Group([(2,13)(3,10)(4,6)(5,8)(7,9)]);
# Design 1214: autom. group order 2, simple, derived
B[1214]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,9,10,11,13],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,9,11,13],[3,4,8,10,12,13],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[1214]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1215: autom. group order 2, simple
B[1215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,9,11,12,13],[1,5,6,9,10,13],[1,5,7,8,10,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,8,9,11],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,7,9,12,13],[3,6,7,8,9,12],[4,5,6,7,8,10]];
G[1215]:=Group([(2,9)(3,13)(4,6)(5,8)(7,10)]);
# Design 1216: autom. group order 2, simple
B[1216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,10,13],[1,4,6,9,10,11],[1,4,8,11,12,13],[1,5,6,8,11,12],[1,5,7,8,9,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[1216]:=Group([(1,12)(2,9)(3,7)(5,6)(8,11)]);
# Design 1217: autom. group order 2, simple, derived
B[1217]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,10,11],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,7,11,12,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,6,7,9,13],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,8,9,10],[3,6,7,8,11,12],[4,5,6,7,10,12]];
G[1217]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 1218: autom. group order 2, simple, derived
B[1218]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,8,9,10],[3,6,7,8,11,12],[4,5,6,7,10,12]];
G[1218]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 1219: autom. group order 2, simple
B[1219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,10,13],[1,4,6,8,9,10],[1,4,8,11,12,13],[1,5,6,8,11,12],[1,5,7,8,9,12],[1,6,9,10,11,13],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[1219]:=Group([(1,12)(2,9)(3,7)(5,6)(8,11)]);
# Design 1220: autom. group order 2, simple
B[1220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,10,13],[1,3,7,11,12,13],[1,4,5,7,8,13],[1,4,6,9,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,6,7,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,9,11,12,13],[2,6,7,8,10,12],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[3,6,7,8,9,11],[4,5,6,7,10,12]];
G[1220]:=Group([(1,12)(2,10)(3,7)(5,6)(8,9)]);
# Design 1221: autom. group order 2, simple
B[1221]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,11,12],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,6,9,10,13],[1,5,7,8,9,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,9,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,12,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,7,10,11]];
G[1221]:=Group([(2,13)(3,10)(4,6)(5,8)(7,9)]);
# Design 1222: autom. group order 2, simple
B[1222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,9,11,12,13],[1,5,6,9,10,13],[1,5,7,8,10,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,12],[4,5,6,7,8,10]];
G[1222]:=Group([(2,9)(3,13)(4,6)(5,8)(7,10)]);
# Design 1223: autom. group order 2, simple
B[1223]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,8,9,10,11],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[1223]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1224: autom. group order 2, simple, derived
B[1224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,7,9,12,13],[4,5,6,7,8,10]];
G[1224]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1225: autom. group order 2, simple
B[1225]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,9,11],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,6,7,8,10]];
G[1225]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1226: autom. group order 2, simple, derived
B[1226]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,7,11,12],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,6,9,10,13],[1,5,7,8,9,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[3,6,7,8,10,11],[4,5,6,7,8,9]];
G[1226]:=Group([(2,13)(3,10)(4,6)(5,8)(7,9)]);
# Design 1227: autom. group order 2, simple
B[1227]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[1227]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1228: autom. group order 2, simple, derived
B[1228]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,8,11,13],[1,5,7,9,11,12],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,9,11,12,13],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,10,12,13],[4,5,6,7,8,10]];
G[1228]:=Group([(1,9)(3,13)(4,6)(5,7)(8,10)]);
# Design 1229: autom. group order 2, simple
B[1229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[1229]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1230: autom. group order 2, simple, derived
B[1230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,8,10,11,13],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[1230]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1231: autom. group order 2, simple, derived
B[1231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,9,10,13],[1,4,5,7,9,11],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,8,10,11,13],[2,4,5,7,8,13],[2,4,6,8,9,10],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,7,10,11]];
G[1231]:=Group([(1,7)(3,13)(4,12)(5,6)(8,11)]);
# Design 1232: autom. group order 2, simple
B[1232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,10],[1,4,6,8,9,13],[1,4,8,11,12,13],[1,5,6,8,11,12],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,7,9,12]];
G[1232]:=Group([(1,7)(3,13)(4,11)(5,6)(8,9)]);
# Design 1233: autom. group order 2, simple
B[1233]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,8,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,8,13],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,7,8,11,12],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[1233]:=Group([(2,3)(4,6)(7,11)(8,12)]);
# Design 1234: autom. group order 2, simple
B[1234]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[1234]:=Group([(2,3)(4,6)(7,11)(8,12)]);
# Design 1235: autom. group order 2, simple, derived
B[1235]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,10,13],[1,3,7,11,12,13],[1,4,5,7,9,11],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,11,12,13],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[1235]:=Group([(1,7)(3,13)(4,10)(5,6)(8,9)]);
# Design 1236: autom. group order 2, simple
B[1236]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,12,13],[1,4,6,9,11,12],[1,4,8,9,10,13],[1,5,6,8,9,10],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,7,8,13],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,12],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[1236]:=Group([(1,10)(2,11)(3,7)(5,6)(8,9)]);
# Design 1237: autom. group order 2, simple
B[1237]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,6,8,9,10],[1,5,10,11,12,13],[1,6,7,8,9,12],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,9,10,11,12],[3,4,5,9,12,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,7,10,11]];
G[1237]:=Group([(1,7)(3,13)(4,9)(5,6)(8,11)]);
# Design 1238: autom. group order 2, simple
B[1238]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,9,10,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,8,10,12,13],[2,4,5,9,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,11],[3,6,7,8,9,11],[4,5,6,7,10,12]];
G[1238]:=Group([(1,10)(2,12)(3,7)(5,6)(8,11)]);
# Design 1239: autom. group order 2, simple, derived
B[1239]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,10,11,12],[1,5,8,9,12,13],[1,6,7,8,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[1239]:=Group([(2,3)(4,6)(7,11)(8,12)]);
# Design 1240: autom. group order 2, simple
B[1240]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,6,8,9,10],[1,5,10,11,12,13],[1,6,7,9,11,12],[2,3,8,10,11,13],[2,4,5,10,11,12],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,5,9,12,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,7,10,11]];
G[1240]:=Group([(1,7)(3,13)(4,9)(5,6)(8,11)]);
# Design 1241: autom. group order 2, simple
B[1241]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,8,9,10],[1,5,10,11,12,13],[1,6,7,8,9,11],[2,3,9,10,11,13],[2,4,5,8,9,12],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,10,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1241]:=Group([(1,9)(2,11)(3,7)(5,6)(8,10)]);
# Design 1242: autom. group order 2, simple, derived
B[1242]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,4,7,8,12,13],[1,5,6,7,8,12],[1,5,9,10,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,9,10],[3,4,5,8,9,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[1242]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 1243: autom. group order 2, simple
B[1243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,11,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1243]:=Group([(2,3)(5,6)(9,11)(10,12)]);
# Design 1244: autom. group order 2, simple
B[1244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,11,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,10,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[1244]:=Group([(2,3)(5,6)(9,11)(10,12)]);
# Design 1245: autom. group order 2, simple
B[1245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,10,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[1245]:=Group([(2,3)(5,6)(9,11)(10,12)]);
# Design 1246: autom. group order 2, simple, derived
B[1246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,11,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,10,11],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[1246]:=Group([(2,3)(5,6)(9,11)(10,12)]);
# Design 1247: autom. group order 2, simple
B[1247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,9,12,13],[1,4,6,9,11,13],[1,4,7,8,11,12],[1,5,6,8,10,12],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1247]:=Group([(2,9)(3,13)(4,6)(5,11)(7,10)]);
# Design 1248: autom. group order 2, simple, derived
B[1248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,11,13],[1,4,6,9,11,13],[1,4,7,9,10,12],[1,5,6,8,10,12],[1,5,7,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,10,11,12,13],[3,5,6,9,10,13],[3,5,7,8,9,11],[3,6,7,8,11,12],[4,5,6,7,8,9]];
G[1248]:=Group([(1,10)(2,13)(4,6)(5,7)(8,9)]);
# Design 1249: autom. group order 2, simple
B[1249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,4,7,10,11,12],[1,5,6,9,10,12],[1,5,7,8,10,12],[1,6,8,11,12,13],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,9,10,12,13],[3,5,6,8,10,13],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1249]:=Group([(1,10)(2,13)(4,6)(5,7)(9,11)]);
# Design 1250: autom. group order 2, simple
B[1250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,6,9,11,13],[1,4,7,8,10,11],[1,5,6,8,11,12],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,13],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,9,11,12,13],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1250]:=Group([(1,7)(2,10)(3,11)(9,12)]);
# Design 1251: autom. group order 2, simple
B[1251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,6,11,12,13],[1,4,7,8,10,11],[1,5,6,8,9,11],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,13],[3,4,5,8,11,13],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,9,11,12,13],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1251]:=Group([(1,7)(2,10)(3,11)(9,12)]);
# Design 1252: autom. group order 2, simple
B[1252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,6,9,11,13],[1,4,7,8,10,11],[1,5,6,8,11,12],[1,5,7,8,9,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,9,11,12,13],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1252]:=Group([(1,7)(2,10)(3,11)(9,12)]);
# Design 1253: autom. group order 2, simple
B[1253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,6,11,12,13],[1,4,7,8,10,11],[1,5,6,8,9,11],[1,5,7,8,9,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,9,11,12,13],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1253]:=Group([(1,7)(2,10)(3,11)(9,12)]);
# Design 1254: autom. group order 2, simple
B[1254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,7,9,10,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,8,10,12],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,9,10,11],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,6,7,11,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,10,11,12,13],[3,6,7,9,10,12],[4,5,6,7,9,12]];
G[1254]:=Group([(1,7)(2,9)(3,12)(10,11)]);
# Design 1255: autom. group order 2, simple
B[1255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,4,7,9,11,12],[1,5,6,9,10,12],[1,5,7,8,9,12],[1,6,8,11,12,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,10,11,12],[3,6,7,9,10,13],[4,5,6,7,8,9]];
G[1255]:=Group([(1,13)(2,9)(4,6)(5,12)(8,10)]);
# Design 1256: autom. group order 2, simple
B[1256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,10,11],[2,4,6,7,9,13],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,7,8,10]];
G[1256]:=Group([(2,13)(3,10)(4,6)(5,11)(7,9)]);
# Design 1257: autom. group order 2, simple, derived
B[1257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,8,11,13],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,6,8,10,12,13],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,8,10],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,6,7,9,11]];
G[1257]:=Group([(1,13)(2,9)(4,6)(5,12)(10,11)]);
# Design 1258: autom. group order 2, simple
B[1258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,9,12,13],[1,4,6,9,11,13],[1,4,8,10,11,12],[1,5,6,7,8,12],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,6,10,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1258]:=Group([(2,9)(3,13)(4,6)(5,11)(7,10)]);
# Design 1259: autom. group order 2, simple, derived
B[1259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,10,13],[1,4,5,8,11,13],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,7,12,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,10,11,12,13],[3,5,6,9,10,13],[3,5,7,8,9,11],[3,6,7,8,11,12],[4,5,6,7,8,9]];
G[1259]:=Group([(1,10)(2,13)(4,6)(5,7)(8,9)]);
# Design 1260: autom. group order 2, simple
B[1260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,7,8,12],[1,5,7,9,11,12],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,10,11],[2,4,6,7,9,13],[2,4,7,11,12,13],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,7,8,10]];
G[1260]:=Group([(2,13)(3,10)(4,6)(5,11)(7,9)]);
# Design 1261: autom. group order 2, simple, derived
B[1261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,9,12,13],[1,4,6,9,12,13],[1,4,8,10,11,13],[1,5,6,8,10,11],[1,5,7,8,9,11],[1,6,7,8,10,12],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,6,7,9,10],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,8,9,10,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1261]:=Group([(1,13)(3,8)(4,12)(5,6)(7,11)]);
# Design 1262: autom. group order 2, simple, derived
B[1262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,10,11,13],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,9,11,12],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,7,11,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,8,10],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,6,7,9,11]];
G[1262]:=Group([(1,13)(2,9)(4,6)(5,12)(10,11)]);
# Design 1263: autom. group order 2, simple, derived
B[1263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,5,7,8,11,13],[2,5,9,10,12,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,6,7,10,11,13],[4,5,6,7,8,10]];
G[1263]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1264: autom. group order 2, simple, derived
B[1264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,6,9,10,12],[2,5,7,8,10,12],[2,5,9,10,11,13],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[1264]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1265: autom. group order 2, simple, derived
B[1265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1265]:=Group([(2,3)(9,10)(11,12)]);
# Design 1266: autom. group order 2, simple, derived
B[1266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1266]:=Group([(2,3)(9,10)(11,12)]);
# Design 1267: autom. group order 2, simple, derived
B[1267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,10,12,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1267]:=Group([(2,3)(9,10)(11,12)]);
# Design 1268: autom. group order 2, simple, derived
B[1268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,10,12,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1268]:=Group([(2,3)(9,10)(11,12)]);
# Design 1269: autom. group order 2, simple, derived
B[1269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1269]:=Group([(2,3)(9,10)(11,12)]);
# Design 1270: autom. group order 2, simple, derived
B[1270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1270]:=Group([(2,3)(9,10)(11,12)]);
# Design 1271: autom. group order 2, simple, derived
B[1271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1271]:=Group([(2,3)(9,10)(11,12)]);
# Design 1272: autom. group order 2, simple, derived
B[1272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1272]:=Group([(2,3)(9,10)(11,12)]);
# Design 1273: autom. group order 2, simple, derived
B[1273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,10,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1273]:=Group([(2,3)(9,10)(11,12)]);
# Design 1274: autom. group order 2, simple, derived
B[1274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,10,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1274]:=Group([(2,3)(9,10)(11,12)]);
# Design 1275: autom. group order 2, simple, derived
B[1275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1275]:=Group([(2,3)(9,10)(11,12)]);
# Design 1276: autom. group order 2, simple, derived
B[1276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1276]:=Group([(2,3)(9,10)(11,12)]);
# Design 1277: autom. group order 2, simple, derived
B[1277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1277]:=Group([(2,3)(9,10)(11,12)]);
# Design 1278: autom. group order 2, simple, derived
B[1278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1278]:=Group([(2,3)(9,10)(11,12)]);
# Design 1279: autom. group order 2, simple, derived
B[1279]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1279]:=Group([(2,3)(9,10)(11,12)]);
# Design 1280: autom. group order 2, simple, derived
B[1280]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1280]:=Group([(2,3)(9,10)(11,12)]);
# Design 1281: autom. group order 2, simple, derived
B[1281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1281]:=Group([(2,3)(9,10)(11,12)]);
# Design 1282: autom. group order 2, simple, derived
B[1282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1282]:=Group([(2,3)(9,10)(11,12)]);
# Design 1283: autom. group order 2, simple, derived
B[1283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1283]:=Group([(2,3)(9,10)(11,12)]);
# Design 1284: autom. group order 2, simple, derived
B[1284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,10,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1284]:=Group([(2,3)(9,10)(11,12)]);
# Design 1285: autom. group order 2, simple, derived
B[1285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,10,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1285]:=Group([(2,3)(9,10)(11,12)]);
# Design 1286: autom. group order 2, simple, derived
B[1286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,11,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,10,12,13],[4,5,6,7,11,12]];
G[1286]:=Group([(2,3)(9,10)(11,12)]);
# Design 1287: autom. group order 2, simple, derived
B[1287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1287]:=Group([(2,3)(9,10)(11,12)]);
# Design 1288: autom. group order 2, simple, derived
B[1288]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1288]:=Group([(2,3)(9,10)(11,12)]);
# Design 1289: autom. group order 2, simple, derived
B[1289]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1289]:=Group([(2,3)(9,10)(11,12)]);
# Design 1290: autom. group order 2, simple, derived
B[1290]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1290]:=Group([(2,3)(9,10)(11,12)]);
# Design 1291: autom. group order 2, simple, derived
B[1291]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1291]:=Group([(2,3)(9,10)(11,12)]);
# Design 1292: autom. group order 2, simple, derived
B[1292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1292]:=Group([(2,3)(9,10)(11,12)]);
# Design 1293: autom. group order 2, simple, derived
B[1293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1293]:=Group([(2,3)(9,10)(11,12)]);
# Design 1294: autom. group order 2, simple, derived
B[1294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1294]:=Group([(2,3)(9,10)(11,12)]);
# Design 1295: autom. group order 2, simple, derived
B[1295]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1295]:=Group([(2,3)(9,10)(11,12)]);
# Design 1296: autom. group order 2, simple, derived
B[1296]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1296]:=Group([(2,3)(9,10)(11,12)]);
# Design 1297: autom. group order 2, simple, derived
B[1297]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1297]:=Group([(2,3)(9,10)(11,12)]);
# Design 1298: autom. group order 2, simple, derived
B[1298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1298]:=Group([(2,3)(9,10)(11,12)]);
# Design 1299: autom. group order 2, simple, derived
B[1299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1299]:=Group([(2,3)(9,10)(11,12)]);
# Design 1300: autom. group order 2, simple, derived
B[1300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1300]:=Group([(2,3)(9,10)(11,12)]);
# Design 1301: autom. group order 2, simple, derived
B[1301]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1301]:=Group([(2,3)(9,10)(11,12)]);
# Design 1302: autom. group order 2, simple, derived
B[1302]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,10,12,13],[4,5,6,7,11,12]];
G[1302]:=Group([(2,3)(9,10)(11,12)]);
# Design 1303: autom. group order 2, simple, derived
B[1303]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1303]:=Group([(2,3)(9,10)(11,12)]);
# Design 1304: autom. group order 2, simple, derived
B[1304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1304]:=Group([(2,3)(9,10)(11,12)]);
# Design 1305: autom. group order 2, simple, derived
B[1305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1305]:=Group([(2,3)(9,10)(11,12)]);
# Design 1306: autom. group order 2, simple, derived
B[1306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1306]:=Group([(2,3)(9,10)(11,12)]);
# Design 1307: autom. group order 2, simple, derived
B[1307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[3,6,7,9,11,13],[4,5,6,7,11,12]];
G[1307]:=Group([(2,3)(9,10)(11,12)]);
# Design 1308: autom. group order 2, simple, derived
B[1308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,10,13],[3,6,7,9,12,13],[4,5,6,7,11,12]];
G[1308]:=Group([(2,3)(9,10)(11,12)]);
# Design 1309: autom. group order 2, simple, derived
B[1309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1309]:=Group([(2,3)(9,10)(11,12)]);
# Design 1310: autom. group order 2, simple, derived
B[1310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1310]:=Group([(2,3)(9,10)(11,12)]);
# Design 1311: autom. group order 2, simple, derived
B[1311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1311]:=Group([(2,3)(9,10)(11,12)]);
# Design 1312: autom. group order 2, simple, derived
B[1312]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1312]:=Group([(2,3)(9,10)(11,12)]);
# Design 1313: autom. group order 2, simple, derived
B[1313]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,10,12,13],[4,5,6,7,11,12]];
G[1313]:=Group([(2,3)(9,10)(11,12)]);
# Design 1314: autom. group order 2, simple, derived
B[1314]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1314]:=Group([(2,3)(9,10)(11,12)]);
# Design 1315: autom. group order 2, simple, derived
B[1315]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1315]:=Group([(2,3)(9,10)(11,12)]);
# Design 1316: autom. group order 2, simple, derived
B[1316]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1316]:=Group([(2,3)(9,10)(11,12)]);
# Design 1317: autom. group order 2, simple, derived
B[1317]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1317]:=Group([(2,3)(9,10)(11,12)]);
# Design 1318: autom. group order 2, simple, derived
B[1318]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1318]:=Group([(2,3)(9,10)(11,12)]);
# Design 1319: autom. group order 2, simple, derived
B[1319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,11,12]];
G[1319]:=Group([(2,3)(9,10)(11,12)]);
# Design 1320: autom. group order 2, simple, derived
B[1320]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1320]:=Group([(2,3)(9,10)(11,12)]);
# Design 1321: autom. group order 2, simple, derived
B[1321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1321]:=Group([(2,3)(9,10)(11,12)]);
# Design 1322: autom. group order 2, simple, derived
B[1322]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1322]:=Group([(2,3)(9,10)(11,12)]);
# Design 1323: autom. group order 2, simple, derived
B[1323]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,9,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1323]:=Group([(2,3)(9,10)(11,12)]);
# Design 1324: autom. group order 2, simple, derived
B[1324]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1324]:=Group([(2,3)(9,10)(11,12)]);
# Design 1325: autom. group order 2, simple, derived
B[1325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1325]:=Group([(2,3)(9,10)(11,12)]);
# Design 1326: autom. group order 2, simple, derived
B[1326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1326]:=Group([(2,3)(9,10)(11,12)]);
# Design 1327: autom. group order 2, simple, derived
B[1327]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,11],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1327]:=Group([(2,3)(9,10)(11,12)]);
# Design 1328: autom. group order 2, simple, derived
B[1328]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,11],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1328]:=Group([(2,3)(9,10)(11,12)]);
# Design 1329: autom. group order 2, simple, derived
B[1329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1329]:=Group([(2,3)(9,10)(11,12)]);
# Design 1330: autom. group order 2, simple, derived
B[1330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1330]:=Group([(2,3)(9,10)(11,12)]);
# Design 1331: autom. group order 2, simple, derived
B[1331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1331]:=Group([(2,3)(9,10)(11,12)]);
# Design 1332: autom. group order 2, simple, derived
B[1332]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1332]:=Group([(2,3)(9,10)(11,12)]);
# Design 1333: autom. group order 2, simple, derived
B[1333]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,11],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1333]:=Group([(2,3)(9,10)(11,12)]);
# Design 1334: autom. group order 2, simple, derived
B[1334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,11],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1334]:=Group([(2,3)(9,10)(11,12)]);
# Design 1335: autom. group order 2, simple, derived
B[1335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,10,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1335]:=Group([(2,3)(9,10)(11,12)]);
# Design 1336: autom. group order 2, simple, derived
B[1336]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1336]:=Group([(2,3)(9,10)(11,12)]);
# Design 1337: autom. group order 2, simple, derived
B[1337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1337]:=Group([(2,3)(9,10)(11,12)]);
# Design 1338: autom. group order 2, simple, derived
B[1338]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,11],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1338]:=Group([(2,3)(9,10)(11,12)]);
# Design 1339: autom. group order 2, simple, derived
B[1339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,11],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1339]:=Group([(2,3)(9,10)(11,12)]);
# Design 1340: autom. group order 2, simple, derived
B[1340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1340]:=Group([(2,3)(9,10)(11,12)]);
# Design 1341: autom. group order 2, simple, derived
B[1341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1341]:=Group([(2,3)(9,10)(11,12)]);
# Design 1342: autom. group order 2, simple, derived
B[1342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1342]:=Group([(2,3)(9,10)(11,12)]);
# Design 1343: autom. group order 2, simple, derived
B[1343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1343]:=Group([(2,3)(9,10)(11,12)]);
# Design 1344: autom. group order 2, simple, derived
B[1344]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1344]:=Group([(2,3)(9,10)(11,12)]);
# Design 1345: autom. group order 2, simple, derived
B[1345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1345]:=Group([(2,3)(9,10)(11,12)]);
# Design 1346: autom. group order 2, simple, derived
B[1346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1346]:=Group([(2,3)(9,10)(11,12)]);
# Design 1347: autom. group order 2, simple, derived
B[1347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1347]:=Group([(2,3)(9,10)(11,12)]);
# Design 1348: autom. group order 2, simple, derived
B[1348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1348]:=Group([(2,3)(9,10)(11,12)]);
# Design 1349: autom. group order 2, simple, derived
B[1349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1349]:=Group([(2,3)(9,10)(11,12)]);
# Design 1350: autom. group order 2, simple, derived
B[1350]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1350]:=Group([(2,3)(9,10)(11,12)]);
# Design 1351: autom. group order 2, simple, derived
B[1351]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1351]:=Group([(2,3)(9,10)(11,12)]);
# Design 1352: autom. group order 2, simple, derived
B[1352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1352]:=Group([(2,3)(9,10)(11,12)]);
# Design 1353: autom. group order 2, simple, derived
B[1353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1353]:=Group([(2,3)(9,10)(11,12)]);
# Design 1354: autom. group order 2, simple, derived
B[1354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1354]:=Group([(2,3)(9,10)(11,12)]);
# Design 1355: autom. group order 2, simple, derived
B[1355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1355]:=Group([(2,3)(9,10)(11,12)]);
# Design 1356: autom. group order 2, simple, derived
B[1356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1356]:=Group([(2,3)(9,10)(11,12)]);
# Design 1357: autom. group order 2, simple, derived
B[1357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1357]:=Group([(2,3)(9,10)(11,12)]);
# Design 1358: autom. group order 2, simple, derived
B[1358]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1358]:=Group([(2,3)(9,10)(11,12)]);
# Design 1359: autom. group order 2, simple, derived
B[1359]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1359]:=Group([(2,3)(9,10)(11,12)]);
# Design 1360: autom. group order 2, simple, derived
B[1360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1360]:=Group([(2,3)(9,10)(11,12)]);
# Design 1361: autom. group order 2, simple, derived
B[1361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,11,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1361]:=Group([(2,3)(9,10)(11,12)]);
# Design 1362: autom. group order 2, simple, derived
B[1362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,10,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1362]:=Group([(2,3)(9,10)(11,12)]);
# Design 1363: autom. group order 2, simple, derived
B[1363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1363]:=Group([(2,3)(9,10)(11,12)]);
# Design 1364: autom. group order 2, simple, derived
B[1364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,10,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1364]:=Group([(2,3)(9,10)(11,12)]);
# Design 1365: autom. group order 2, simple, derived
B[1365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,7,13],[1,4,8,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1365]:=Group([(2,3)(9,10)(11,12)]);
# Design 1366: autom. group order 2, simple, derived
B[1366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1366]:=Group([(2,3)(9,10)(11,12)]);
# Design 1367: autom. group order 2, simple, derived
B[1367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1367]:=Group([(2,3)(9,10)(11,12)]);
# Design 1368: autom. group order 2, simple, derived
B[1368]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1368]:=Group([(2,3)(9,10)(11,12)]);
# Design 1369: autom. group order 2, simple, derived
B[1369]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1369]:=Group([(2,3)(9,10)(11,12)]);
# Design 1370: autom. group order 2, simple, derived
B[1370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1370]:=Group([(2,3)(9,10)(11,12)]);
# Design 1371: autom. group order 2, simple, derived
B[1371]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1371]:=Group([(2,3)(9,10)(11,12)]);
# Design 1372: autom. group order 2, simple, derived
B[1372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1372]:=Group([(2,3)(9,10)(11,12)]);
# Design 1373: autom. group order 2, simple, derived
B[1373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1373]:=Group([(2,3)(9,10)(11,12)]);
# Design 1374: autom. group order 2, simple, derived
B[1374]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1374]:=Group([(2,3)(9,10)(11,12)]);
# Design 1375: autom. group order 2, simple, derived
B[1375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1375]:=Group([(2,3)(9,10)(11,12)]);
# Design 1376: autom. group order 2, simple, derived
B[1376]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1376]:=Group([(2,3)(9,10)(11,12)]);
# Design 1377: autom. group order 2, simple, derived
B[1377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1377]:=Group([(2,3)(9,10)(11,12)]);
# Design 1378: autom. group order 2, simple, derived
B[1378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1378]:=Group([(2,3)(9,10)(11,12)]);
# Design 1379: autom. group order 2, simple, derived
B[1379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1379]:=Group([(2,3)(9,10)(11,12)]);
# Design 1380: autom. group order 2, simple, derived
B[1380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1380]:=Group([(2,3)(9,10)(11,12)]);
# Design 1381: autom. group order 2, simple, derived
B[1381]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1381]:=Group([(2,3)(9,10)(11,12)]);
# Design 1382: autom. group order 2, simple, derived
B[1382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1382]:=Group([(2,3)(9,10)(11,12)]);
# Design 1383: autom. group order 2, simple, derived
B[1383]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1383]:=Group([(2,3)(9,10)(11,12)]);
# Design 1384: autom. group order 2, simple, derived
B[1384]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1384]:=Group([(2,3)(9,10)(11,12)]);
# Design 1385: autom. group order 2, simple, derived
B[1385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,9,12,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1385]:=Group([(2,3)(9,10)(11,12)]);
# Design 1386: autom. group order 2, simple, derived
B[1386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1386]:=Group([(2,3)(9,10)(11,12)]);
# Design 1387: autom. group order 2, simple, derived
B[1387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1387]:=Group([(2,3)(9,10)(11,12)]);
# Design 1388: autom. group order 2, simple, derived
B[1388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1388]:=Group([(2,3)(9,10)(11,12)]);
# Design 1389: autom. group order 2, simple, derived
B[1389]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1389]:=Group([(2,3)(9,10)(11,12)]);
# Design 1390: autom. group order 2, simple, derived
B[1390]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1390]:=Group([(2,3)(9,10)(11,12)]);
# Design 1391: autom. group order 2, simple, derived
B[1391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1391]:=Group([(2,3)(9,10)(11,12)]);
# Design 1392: autom. group order 2, simple, derived
B[1392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,9,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1392]:=Group([(2,3)(9,10)(11,12)]);
# Design 1393: autom. group order 2, simple, derived
B[1393]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1393]:=Group([(2,3)(9,10)(11,12)]);
# Design 1394: autom. group order 2, simple, derived
B[1394]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,9,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1394]:=Group([(2,3)(9,10)(11,12)]);
# Design 1395: autom. group order 2, simple, derived
B[1395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1395]:=Group([(2,3)(9,10)(11,12)]);
# Design 1396: autom. group order 2, simple, derived
B[1396]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1396]:=Group([(2,3)(9,10)(11,12)]);
# Design 1397: autom. group order 2, simple, derived
B[1397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1397]:=Group([(2,3)(9,10)(11,12)]);
# Design 1398: autom. group order 2, simple, derived
B[1398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1398]:=Group([(2,3)(9,10)(11,12)]);
# Design 1399: autom. group order 2, simple, derived
B[1399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1399]:=Group([(2,3)(9,10)(11,12)]);
# Design 1400: autom. group order 2, simple, derived
B[1400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1400]:=Group([(2,3)(9,10)(11,12)]);
# Design 1401: autom. group order 2, simple, derived
B[1401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1401]:=Group([(2,3)(9,10)(11,12)]);
# Design 1402: autom. group order 2, simple, derived
B[1402]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1402]:=Group([(2,3)(9,10)(11,12)]);
# Design 1403: autom. group order 2, simple, derived
B[1403]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1403]:=Group([(2,3)(9,10)(11,12)]);
# Design 1404: autom. group order 2, simple, derived
B[1404]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1404]:=Group([(2,3)(9,10)(11,12)]);
# Design 1405: autom. group order 2, simple, derived
B[1405]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1405]:=Group([(2,3)(9,10)(11,12)]);
# Design 1406: autom. group order 2, simple, derived
B[1406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1406]:=Group([(2,3)(9,10)(11,12)]);
# Design 1407: autom. group order 2, simple, derived
B[1407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,10,12,13],[3,6,7,8,9,13],[4,5,6,7,11,12]];
G[1407]:=Group([(2,3)(9,10)(11,12)]);
# Design 1408: autom. group order 2, simple, derived
B[1408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1408]:=Group([(2,3)(9,10)(11,12)]);
# Design 1409: autom. group order 2, simple, derived
B[1409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,9,12,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1409]:=Group([(2,3)(9,10)(11,12)]);
# Design 1410: autom. group order 2, simple, derived
B[1410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1410]:=Group([(2,3)(9,10)(11,12)]);
# Design 1411: autom. group order 2, simple, derived
B[1411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1411]:=Group([(2,3)(9,10)(11,12)]);
# Design 1412: autom. group order 2, simple, derived
B[1412]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,12,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1412]:=Group([(2,3)(9,10)(11,12)]);
# Design 1413: autom. group order 2, simple, derived
B[1413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1413]:=Group([(2,3)(9,10)(11,12)]);
# Design 1414: autom. group order 2, simple, derived
B[1414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1414]:=Group([(2,3)(9,10)(11,12)]);
# Design 1415: autom. group order 2, simple, derived
B[1415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1415]:=Group([(2,3)(9,10)(11,12)]);
# Design 1416: autom. group order 2, simple, derived
B[1416]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1416]:=Group([(2,3)(9,10)(11,12)]);
# Design 1417: autom. group order 2, simple, derived
B[1417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,10,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1417]:=Group([(2,3)(9,10)(11,12)]);
# Design 1418: autom. group order 2, simple, derived
B[1418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,10,13],[4,5,6,7,11,12]];
G[1418]:=Group([(2,3)(9,10)(11,12)]);
# Design 1419: autom. group order 2, simple, derived
B[1419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,8,10,12,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,6,7,9,11]];
G[1419]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1420: autom. group order 2, simple
B[1420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,8,12],[3,5,8,9,10,11],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[1420]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1421: autom. group order 2, simple
B[1421]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,9,10,11,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,6,7,8,10]];
G[1421]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1422: autom. group order 2, simple, derived
B[1422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,7,9,12,13],[4,5,6,7,8,10]];
G[1422]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1423: autom. group order 2, simple, derived
B[1423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,9,12,13],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[1423]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1424: autom. group order 2, simple
B[1424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[1424]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1425: autom. group order 2, simple
B[1425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[1425]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1426: autom. group order 2, simple, derived
B[1426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,10,11,13],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[1426]:=Group([(2,12)(3,11)(4,9)(5,8)]);
# Design 1427: autom. group order 2, simple, derived
B[1427]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1427]:=Group([(2,3)(9,10)(11,12)]);
# Design 1428: autom. group order 2, simple, derived
B[1428]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1428]:=Group([(2,3)(9,10)(11,12)]);
# Design 1429: autom. group order 2, simple, derived
B[1429]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1429]:=Group([(2,3)(9,10)(11,12)]);
# Design 1430: autom. group order 2, simple, derived
B[1430]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1430]:=Group([(2,3)(9,10)(11,12)]);
# Design 1431: autom. group order 2, simple, derived
B[1431]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1431]:=Group([(2,3)(9,10)(11,12)]);
# Design 1432: autom. group order 2, simple, derived
B[1432]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1432]:=Group([(2,3)(9,10)(11,12)]);
# Design 1433: autom. group order 2, simple, derived
B[1433]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1433]:=Group([(2,3)(9,10)(11,12)]);
# Design 1434: autom. group order 2, simple, derived
B[1434]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1434]:=Group([(2,3)(9,10)(11,12)]);
# Design 1435: autom. group order 2, simple, derived
B[1435]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1435]:=Group([(2,3)(9,10)(11,12)]);
# Design 1436: autom. group order 2, simple, derived
B[1436]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1436]:=Group([(2,3)(9,10)(11,12)]);
# Design 1437: autom. group order 2, simple, derived
B[1437]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1437]:=Group([(2,3)(9,10)(11,12)]);
# Design 1438: autom. group order 2, simple, derived
B[1438]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1438]:=Group([(2,3)(9,10)(11,12)]);
# Design 1439: autom. group order 2, simple, derived
B[1439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1439]:=Group([(2,3)(9,10)(11,12)]);
# Design 1440: autom. group order 2, simple, derived
B[1440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1440]:=Group([(2,3)(9,10)(11,12)]);
# Design 1441: autom. group order 2, simple, derived
B[1441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1441]:=Group([(2,3)(9,10)(11,12)]);
# Design 1442: autom. group order 2, simple, derived
B[1442]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1442]:=Group([(2,3)(9,10)(11,12)]);
# Design 1443: autom. group order 2, simple, derived
B[1443]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1443]:=Group([(2,3)(9,10)(11,12)]);
# Design 1444: autom. group order 2, simple, derived
B[1444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1444]:=Group([(2,3)(9,10)(11,12)]);
# Design 1445: autom. group order 2, simple, derived
B[1445]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1445]:=Group([(2,3)(9,10)(11,12)]);
# Design 1446: autom. group order 2, simple, derived
B[1446]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1446]:=Group([(2,3)(9,10)(11,12)]);
# Design 1447: autom. group order 2, simple, derived
B[1447]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1447]:=Group([(2,3)(9,10)(11,12)]);
# Design 1448: autom. group order 2, simple, derived
B[1448]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,11],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1448]:=Group([(2,3)(9,10)(11,12)]);
# Design 1449: autom. group order 2, simple, derived
B[1449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,11],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1449]:=Group([(2,3)(9,10)(11,12)]);
# Design 1450: autom. group order 2, simple, derived
B[1450]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1450]:=Group([(2,3)(9,10)(11,12)]);
# Design 1451: autom. group order 2, simple, derived
B[1451]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1451]:=Group([(2,3)(9,10)(11,12)]);
# Design 1452: autom. group order 2, simple, derived
B[1452]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1452]:=Group([(2,3)(9,10)(11,12)]);
# Design 1453: autom. group order 2, simple, derived
B[1453]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1453]:=Group([(2,3)(9,10)(11,12)]);
# Design 1454: autom. group order 2, simple, derived
B[1454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1454]:=Group([(2,3)(9,10)(11,12)]);
# Design 1455: autom. group order 2, simple, derived
B[1455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1455]:=Group([(2,3)(9,10)(11,12)]);
# Design 1456: autom. group order 2, simple, derived
B[1456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1456]:=Group([(2,3)(9,10)(11,12)]);
# Design 1457: autom. group order 2, simple, derived
B[1457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1457]:=Group([(2,3)(9,10)(11,12)]);
# Design 1458: autom. group order 2, simple, derived
B[1458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1458]:=Group([(2,3)(9,10)(11,12)]);
# Design 1459: autom. group order 2, simple, derived
B[1459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,11],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1459]:=Group([(2,3)(9,10)(11,12)]);
# Design 1460: autom. group order 2, simple, derived
B[1460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1460]:=Group([(2,3)(9,10)(11,12)]);
# Design 1461: autom. group order 2, simple, derived
B[1461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1461]:=Group([(2,3)(9,10)(11,12)]);
# Design 1462: autom. group order 2, simple, derived
B[1462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1462]:=Group([(2,3)(9,10)(11,12)]);
# Design 1463: autom. group order 2, simple, derived
B[1463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1463]:=Group([(2,3)(9,10)(11,12)]);
# Design 1464: autom. group order 2, simple, derived
B[1464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1464]:=Group([(2,3)(9,10)(11,12)]);
# Design 1465: autom. group order 2, simple, derived
B[1465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1465]:=Group([(2,3)(9,10)(11,12)]);
# Design 1466: autom. group order 2, simple, derived
B[1466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1466]:=Group([(2,3)(9,10)(11,12)]);
# Design 1467: autom. group order 2, simple, derived
B[1467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1467]:=Group([(2,3)(9,10)(11,12)]);
# Design 1468: autom. group order 2, simple, derived
B[1468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[3,6,7,8,9,12],[4,5,6,7,9,10]];
G[1468]:=Group([(2,3)(9,10)(11,12)]);
# Design 1469: autom. group order 2, simple, derived
B[1469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1469]:=Group([(2,3)(9,10)(11,12)]);
# Design 1470: autom. group order 2, simple, derived
B[1470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1470]:=Group([(2,3)(9,10)(11,12)]);
# Design 1471: autom. group order 2, simple, derived
B[1471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1471]:=Group([(2,3)(9,10)(11,12)]);
# Design 1472: autom. group order 2, simple, derived
B[1472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1472]:=Group([(2,3)(9,10)(11,12)]);
# Design 1473: autom. group order 2, simple, derived
B[1473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1473]:=Group([(2,3)(9,10)(11,12)]);
# Design 1474: autom. group order 2, simple, derived
B[1474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1474]:=Group([(2,3)(9,10)(11,12)]);
# Design 1475: autom. group order 2, simple, derived
B[1475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1475]:=Group([(2,3)(9,10)(11,12)]);
# Design 1476: autom. group order 2, simple, derived
B[1476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1476]:=Group([(2,3)(9,10)(11,12)]);
# Design 1477: autom. group order 2, simple, derived
B[1477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1477]:=Group([(2,3)(9,10)(11,12)]);
# Design 1478: autom. group order 2, simple, derived
B[1478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,10,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[1478]:=Group([(2,3)(9,10)(11,12)]);
# Design 1479: autom. group order 2, simple, derived
B[1479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[1479]:=Group([(2,3)(9,10)(11,12)]);
# Design 1480: autom. group order 2, simple
B[1480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,6,10,12],[1,4,7,8,12,13],[1,4,9,10,11,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,8,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[1480]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 1481: autom. group order 2, simple
B[1481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,6,8,12],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[1481]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 1482: autom. group order 2, simple, derived
B[1482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,6,10,13],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,8,9],[2,4,8,10,11,13],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,8,9,10,11],[4,5,6,7,11,12]];
G[1482]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 1483: autom. group order 2, simple
B[1483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,6,8,13],[1,4,7,9,12,13],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,5,8,9,10,11],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,7,9,12]];
G[1483]:=Group([(1,7)(2,8)(5,11)(6,10)(9,13)]);
# Design 1484: autom. group order 2, simple, derived
B[1484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,6,8,13],[1,4,8,9,10,12],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,7,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,7,9,12]];
G[1484]:=Group([(1,7)(2,8)(5,11)(6,10)(9,13)]);
# Design 1485: autom. group order 2, simple
B[1485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,6,8,10],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,12],[1,6,7,9,10,11],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,6,9,12,13],[2,4,7,8,9,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,10,11,12],[3,5,6,10,12,13],[3,5,7,8,9,12],[3,6,7,8,10,13],[4,5,6,7,9,11]];
G[1485]:=Group([(1,9)(2,4)(3,13)(5,12)]);
# Design 1486: autom. group order 2, simple
B[1486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,6,7,13],[1,4,8,10,11,13],[1,4,9,10,11,12],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,8,9,10,13],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,7,10,12],[3,4,6,9,11,12],[3,4,7,8,9,11],[3,5,6,8,11,13],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,6,8,9,10]];
G[1486]:=Group([(1,9)(2,11)(3,4)(5,12)]);
# Design 1487: autom. group order 2, simple
B[1487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,6,8,12],[1,4,7,9,10,13],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,10,11,12],[1,6,8,9,10,11],[2,3,7,8,10,12],[2,4,5,7,10,11],[2,4,6,8,11,13],[2,4,10,11,12,13],[2,5,6,9,10,13],[2,5,8,9,12,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,9,11,12],[3,6,7,8,10,13],[4,5,6,7,10,12]];
G[1487]:=Group([(1,7)(2,11)(3,5)(4,13)(10,12)]);
# Design 1488: autom. group order 2, simple
B[1488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,6,8,12],[1,4,7,9,10,13],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,10,11,12],[1,6,8,9,10,11],[2,3,7,8,10,12],[2,4,5,7,10,11],[2,4,6,8,11,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,9,10,11],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,7,9,11,12],[3,6,7,8,10,13],[4,5,6,7,10,12]];
G[1488]:=Group([(1,7)(2,11)(3,5)(4,13)(10,12)]);
# Design 1489: autom. group order 2, simple
B[1489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,4,7,9,10,11],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1489]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1490: autom. group order 2, simple, derived
B[1490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,4,7,10,11,12],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1490]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1491: autom. group order 2, simple, derived
B[1491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,10,13],[1,4,7,8,12,13],[1,4,7,9,10,11],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1491]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1492: autom. group order 2, simple, derived
B[1492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,4,7,10,11,13],[1,5,7,9,10,12],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,6,7,8,10,13],[4,5,6,8,11,12]];
G[1492]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 1493: autom. group order 2, simple
B[1493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,10,12],[1,4,7,8,9,12],[1,4,7,9,10,11],[1,5,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,8,11,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,7,11,13]];
G[1493]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1494: autom. group order 2, simple, derived
B[1494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1494]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1495: autom. group order 2, simple, derived
B[1495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,7,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1495]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1496: autom. group order 2, simple, derived
B[1496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1496]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1497: autom. group order 2, simple, derived
B[1497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,7,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1497]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1498: autom. group order 2, simple, derived
B[1498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1498]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1499: autom. group order 2, simple, derived
B[1499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1499]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1500: autom. group order 2, simple, derived
B[1500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1500]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1501: autom. group order 2, simple, derived
B[1501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1501]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1502: autom. group order 2, simple, derived
B[1502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1502]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1503: autom. group order 2, simple, derived
B[1503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1503]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1504: autom. group order 2, simple, derived
B[1504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,7,9,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1504]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1505: autom. group order 2, simple, derived
B[1505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1505]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1506: autom. group order 2, simple, derived
B[1506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1506]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1507: autom. group order 2, simple, derived
B[1507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1507]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1508: autom. group order 2, simple, derived
B[1508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1508]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1509: autom. group order 2, simple, derived
B[1509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1509]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1510: autom. group order 2, simple, derived
B[1510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1510]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1511: autom. group order 2, simple, derived
B[1511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1511]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1512: autom. group order 2, simple, derived
B[1512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1512]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1513: autom. group order 2, simple, derived
B[1513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1513]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1514: autom. group order 2, simple, derived
B[1514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1514]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1515: autom. group order 2, simple, derived
B[1515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,9,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1515]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1516: autom. group order 2, simple, derived
B[1516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1516]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1517: autom. group order 2, simple, derived
B[1517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1517]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1518: autom. group order 2, simple, derived
B[1518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1518]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1519: autom. group order 2, simple, derived
B[1519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1519]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1520: autom. group order 2, simple, derived
B[1520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1520]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1521: autom. group order 2, simple, derived
B[1521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,8,10,11,13],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1521]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1522: autom. group order 2, simple, derived
B[1522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1522]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1523: autom. group order 2, simple, derived
B[1523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,8,10,11,13],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1523]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1524: autom. group order 2, simple, derived
B[1524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,8,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1524]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1525: autom. group order 2, simple, derived
B[1525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,9,11,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1525]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1526: autom. group order 2, simple, derived
B[1526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,9,13],[3,5,8,10,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1526]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1527: autom. group order 2, simple, derived
B[1527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1527]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1528: autom. group order 2, simple, derived
B[1528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1528]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1529: autom. group order 2, simple, derived
B[1529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1529]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1530: autom. group order 2, simple, derived
B[1530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1530]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1531: autom. group order 2, simple, derived
B[1531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1531]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1532: autom. group order 2, simple, derived
B[1532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1532]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1533: autom. group order 2, simple, derived
B[1533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1533]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1534: autom. group order 2, simple, derived
B[1534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,7,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[3,6,8,10,11,13],[4,5,6,7,8,11]];
G[1534]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1535: autom. group order 2, simple, derived
B[1535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[3,6,8,10,11,12],[4,5,6,7,8,11]];
G[1535]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1536: autom. group order 2, simple, derived
B[1536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,6,8,10,11,13],[4,5,6,7,8,11]];
G[1536]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1537: autom. group order 2, simple, derived
B[1537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1537]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1538: autom. group order 2, simple, derived
B[1538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1538]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1539: autom. group order 2, simple, derived
B[1539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1539]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1540: autom. group order 2, simple, derived
B[1540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1540]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1541: autom. group order 2, simple, derived
B[1541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1541]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1542: autom. group order 2, simple, derived
B[1542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1542]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1543: autom. group order 2, simple, derived
B[1543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1543]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1544: autom. group order 2, simple, derived
B[1544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1544]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1545: autom. group order 2, simple, derived
B[1545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1545]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1546: autom. group order 2, simple, derived
B[1546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1546]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1547: autom. group order 2, simple, derived
B[1547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1547]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1548: autom. group order 2, simple, derived
B[1548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1548]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1549: autom. group order 2, simple, derived
B[1549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1549]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1550: autom. group order 2, simple, derived
B[1550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1550]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1551: autom. group order 2, simple, derived
B[1551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1551]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1552: autom. group order 2, simple, derived
B[1552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1552]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1553: autom. group order 2, simple, derived
B[1553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,7,8,10,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,8,10,11,12],[3,6,7,8,10,11],[4,5,6,7,11,13]];
G[1553]:=Group([(2,12)(3,13)(4,10)(5,8)]);
# Design 1554: autom. group order 2, simple, derived
B[1554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1554]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1555: autom. group order 2, simple, derived
B[1555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1555]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1556: autom. group order 2, simple, derived
B[1556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,9,11,13],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1556]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1557: autom. group order 2, simple, derived
B[1557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,7,10,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1557]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1558: autom. group order 2, simple, derived
B[1558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1558]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1559: autom. group order 2, simple, derived
B[1559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1559]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1560: autom. group order 2, simple, derived
B[1560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1560]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1561: autom. group order 2, simple, derived
B[1561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1561]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1562: autom. group order 2, simple, derived
B[1562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1562]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1563: autom. group order 2, simple, derived
B[1563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1563]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1564: autom. group order 2, simple, derived
B[1564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,8,9,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1564]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1565: autom. group order 2, simple, derived
B[1565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1565]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1566: autom. group order 2, simple, derived
B[1566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,10,11,13],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,7,8,11]];
G[1566]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1567: autom. group order 2, simple, derived
B[1567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1567]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1568: autom. group order 2, simple, derived
B[1568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[3,6,7,9,11,13],[4,5,6,7,8,11]];
G[1568]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1569: autom. group order 2, simple, derived
B[1569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1569]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1570: autom. group order 2, simple, derived
B[1570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1570]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1571: autom. group order 2, simple, derived
B[1571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,8,10,11,12],[3,6,7,10,11,13],[4,5,6,7,8,11]];
G[1571]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1572: autom. group order 2, simple, derived
B[1572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1572]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1573: autom. group order 2, simple, derived
B[1573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1573]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1574: autom. group order 2, simple, derived
B[1574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1574]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1575: autom. group order 2, simple, derived
B[1575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1575]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1576: autom. group order 2, simple, derived
B[1576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1576]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1577: autom. group order 2, simple, derived
B[1577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1577]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1578: autom. group order 2, simple, derived
B[1578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,9,11,12],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,8,10,11,13],[4,5,6,7,8,11]];
G[1578]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1579: autom. group order 2, simple, derived
B[1579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1579]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1580: autom. group order 2, simple, derived
B[1580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1580]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1581: autom. group order 2, simple, derived
B[1581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[3,6,8,10,11,13],[4,5,6,7,8,11]];
G[1581]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1582: autom. group order 2, simple, derived
B[1582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,6,8,10,11,12],[4,5,6,7,8,11]];
G[1582]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1583: autom. group order 2, simple, derived
B[1583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,8,10],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,6,7,9,12],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,9,10,11,12],[3,6,7,8,10,11],[4,5,6,7,11,13]];
G[1583]:=Group([(2,12)(3,13)(4,10)(5,8)]);
# Design 1584: autom. group order 2, simple, derived
B[1584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,8,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1584]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1585: autom. group order 2, simple, derived
B[1585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1585]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1586: autom. group order 2, simple, derived
B[1586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1586]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1587: autom. group order 2, simple, derived
B[1587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,9,11,12],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1587]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1588: autom. group order 2, simple, derived
B[1588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1588]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1589: autom. group order 2, simple, derived
B[1589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,7,9,10,13],[3,5,6,7,9,13],[3,5,8,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1589]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1590: autom. group order 2, simple, derived
B[1590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,8,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,11]];
G[1590]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1591: autom. group order 2, simple, derived
B[1591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,11,13],[4,5,6,7,8,11]];
G[1591]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1592: autom. group order 2, simple, derived
B[1592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[3,6,8,10,11,13],[4,5,6,7,8,11]];
G[1592]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1593: autom. group order 2, simple, derived
B[1593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,6,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,8,9,11,13],[3,6,8,10,11,12],[4,5,6,7,8,11]];
G[1593]:=Group([(2,3)(7,8)(9,10)(12,13)]);
# Design 1594: autom. group order 2, simple, derived
B[1594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,8,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,8,11,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1594]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1595: autom. group order 2, simple, derived
B[1595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,6,8,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,5,6,8,10,11],[3,5,7,8,12,13],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1595]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1596: autom. group order 2, simple, derived
B[1596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,6,10,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,5,7,9,10,12],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[3,6,7,8,10,13],[4,5,6,8,11,12]];
G[1596]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 1597: autom. group order 2, simple
B[1597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,7,11,13],[1,4,6,8,10,13],[1,4,6,9,10,12],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,8,9,10,11,13],[2,3,7,8,10,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,10],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,8,11]];
G[1597]:=Group([(1,8)(2,5)(3,12)(4,9)(6,11)]);
# Design 1598: autom. group order 2, simple, derived
B[1598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,6,9,11,12],[1,5,7,11,12,13],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,7,8,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1598]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 1599: autom. group order 2, simple, derived
B[1599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,6,9,11,12],[1,5,7,11,12,13],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,4,7,8,9,12],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,10,12,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,6,7,9,10,11],[4,5,6,7,9,11]];
G[1599]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 1600: autom. group order 2, simple, derived
B[1600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,7,8,9,12],[1,5,8,9,10,13],[1,7,8,10,11,13],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[1600]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 1601: autom. group order 2, simple, derived
B[1601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,7,8,9,10,13],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,6,7,8,11,12],[4,5,6,7,10,11]];
G[1601]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 1602: autom. group order 2, simple, derived
B[1602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,6,9,11,12],[1,5,7,11,12,13],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,6,7,9,10,11],[4,5,6,7,9,11]];
G[1602]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 1603: autom. group order 2, simple, derived
B[1603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,10,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,6,9,11,12],[1,5,7,11,12,13],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,9,10,12,13],[4,5,6,7,9,11]];
G[1603]:=Group([(2,7)(3,13)(4,10)(5,9)(6,8)]);
# Design 1604: autom. group order 2, simple, derived
B[1604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,11,12],[1,5,8,9,10,13],[1,7,8,10,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,7,8,9,12],[4,5,6,9,11,13]];
G[1604]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 1605: autom. group order 2, simple, derived
B[1605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,11,12],[1,5,8,10,11,13],[1,7,8,9,10,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,6,7,8,11,12],[4,5,6,9,11,13]];
G[1605]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 1606: autom. group order 2, simple
B[1606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,8,9,10,12,13],[2,3,8,10,11,13],[2,4,5,8,9,10],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,9,10,11],[4,5,6,8,10,11]];
G[1606]:=Group([(2,11)(3,13)(4,5)(6,9)(8,10)]);
# Design 1607: autom. group order 2, simple
B[1607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,8,9,10,12,13],[2,3,8,10,11,13],[2,4,5,8,9,10],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,9,11,12],[3,6,7,8,9,11],[4,5,6,8,10,11]];
G[1607]:=Group([(2,11)(3,13)(4,5)(6,9)(8,10)]);
# Design 1608: autom. group order 2, simple, derived
B[1608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,4,6,9,11,12],[1,5,7,10,11,12],[1,5,8,11,12,13],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,9,10,11,13],[3,4,5,10,11,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1608]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 1609: autom. group order 2, simple, derived
B[1609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,4,6,9,11,12],[1,5,7,10,11,12],[1,5,8,11,12,13],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,7,9,11,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,8,9,10,12],[3,4,5,7,12,13],[3,4,8,10,11,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,9,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10]];
G[1609]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 1610: autom. group order 2, simple, derived
B[1610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,4,6,9,11,12],[1,5,7,10,11,12],[1,5,8,11,12,13],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,7,8,9,12],[2,6,8,9,10,12],[3,4,5,7,12,13],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,6,7,9,11,13],[4,5,6,7,9,10]];
G[1610]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 1611: autom. group order 2, simple, derived
B[1611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,4,6,9,11,12],[1,5,7,10,11,12],[1,5,8,11,12,13],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,5,7,8,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,9,12,13],[3,6,8,9,10,11],[4,5,6,7,9,10]];
G[1611]:=Group([(2,13)(3,8)(4,10)(5,9)(6,7)]);
# Design 1612: autom. group order 2, simple
B[1612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,4,6,8,9,11],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,7,9,10,11,13],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,6,9,10,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,11,12,13],[3,4,5,9,11,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,9,10,12],[4,5,6,8,10,11]];
G[1612]:=Group([(2,13)(3,12)(4,5)(6,10)(7,9)]);
# Design 1613: autom. group order 2, simple
B[1613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,4,6,8,9,11],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,7,9,10,11,13],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,11,12,13],[3,4,5,7,11,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,9,10,12],[4,5,6,8,10,11]];
G[1613]:=Group([(2,13)(3,12)(4,5)(6,10)(7,9)]);
# Design 1614: autom. group order 2, simple, derived
B[1614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,8,11,12],[1,5,7,10,11,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,4,5,10,11,12],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,5,7,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,6,8,10,11],[3,6,9,11,12,13],[4,5,6,7,9,12]];
G[1614]:=Group([(1,13)(3,8)(4,12)]);
# Design 1615: autom. group order 2, simple, derived
B[1615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,11,12,13],[1,3,6,7,11,13],[1,4,5,8,10,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,8,9,10,11,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,6,8,9,10,12],[4,5,6,9,11,12]];
G[1615]:=Group([(1,7)(3,8)(5,11)(6,9)]);
# Design 1616: autom. group order 2, simple
B[1616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,11,12,13],[1,3,6,7,11,13],[1,4,5,8,10,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,8,9,10,11,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,6,8,9,10,13],[4,5,6,9,11,12]];
G[1616]:=Group([(1,7)(3,8)(5,11)(6,9)]);
# Design 1617: autom. group order 2, simple
B[1617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,11,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,7,9,10,11,13],[2,3,7,8,9,13],[2,4,5,7,9,12],[2,4,6,10,12,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,10],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[1617]:=Group([(1,7)(2,5)(3,12)(4,10)(6,11)]);
# Design 1618: autom. group order 2, simple, derived
B[1618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,10,11,12,13],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,6,9,10,12],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,9,11,13],[3,4,7,8,9,11],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,6,7,9,12,13],[4,5,6,7,10,11]];
G[1618]:=Group([(2,13)(3,10)(4,7)(5,8)(6,9)]);
# Design 1619: autom. group order 2, simple, derived
B[1619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,6,8,11,12],[1,4,9,11,12,13],[1,5,6,8,10,12],[1,5,7,10,11,12],[1,7,8,9,10,13],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,5,7,8,11,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,8,9,11],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,9,12,13],[3,6,7,8,9,12],[4,5,6,7,8,10]];
G[1619]:=Group([(2,9)(3,13)(4,7)(5,8)(6,10)]);
# Design 1620: autom. group order 2, simple
B[1620]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,8,11,13],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,6,8,10,13],[2,4,6,8,11,12],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,8,9,11],[3,4,7,10,11,13],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1620]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 1621: autom. group order 2, simple
B[1621]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,8,11,13],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,6,8,9,11],[2,4,6,8,10,13],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,8,11,12],[3,4,7,10,11,13],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1621]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 1622: autom. group order 2, simple
B[1622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,8,9,10,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,6,8,10,13],[2,4,6,9,11,13],[2,5,7,10,11,12],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,6,9,10,12,13],[4,5,6,7,10,11]];
G[1622]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 1623: autom. group order 2, simple
B[1623]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,6,8,10,13],[2,4,6,9,11,13],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,7,12,13],[3,6,9,10,12,13],[4,5,6,7,10,11]];
G[1623]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 1624: autom. group order 2, simple
B[1624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,8,12],[1,4,6,9,10,13],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,6,8,10,13],[2,4,6,8,11,12],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,7,12,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1624]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 1625: autom. group order 2, simple
B[1625]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,8,12],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,8,9,10,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,6,8,9,11],[2,4,6,8,10,13],[2,5,7,10,11,12],[2,5,8,11,12,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,7,9,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1625]:=Group([(1,11)(2,10)(3,7)(8,13)(9,12)]);
# Design 1626: autom. group order 2, simple
B[1626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,10,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,9,11,13],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,6,8,9,10,12],[4,5,6,7,9,11]];
G[1626]:=Group([(1,11)(2,9)(3,7)(8,12)(10,13)]);
# Design 1627: autom. group order 2, simple
B[1627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,7,8,10,13],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,9,11,13],[2,5,8,10,11,12],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,7,9,11,12],[3,4,10,11,12,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,6,8,9,12,13],[4,5,6,7,9,11]];
G[1627]:=Group([(1,11)(2,9)(3,7)(8,12)(10,13)]);
# Design 1628: autom. group order 2, simple
B[1628]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,8,13],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,7,9,11,13],[2,5,8,10,11,12],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,5,6,7,12,13],[3,6,8,9,12,13],[4,5,6,7,9,11]];
G[1628]:=Group([(1,11)(2,9)(3,7)(8,12)(10,13)]);
# Design 1629: autom. group order 2, simple
B[1629]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,8,13],[1,4,6,9,12,13],[1,4,7,10,12,13],[1,5,6,10,11,13],[1,5,8,9,10,12],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,6,8,9,12,13],[4,5,6,7,9,11]];
G[1629]:=Group([(1,11)(2,9)(3,7)(8,12)(10,13)]);
# Design 1630: autom. group order 2, simple
B[1630]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,10,12],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,9,10,13],[2,4,6,10,11,12],[2,5,7,9,11,13],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,5,6,7,12,13],[3,6,8,9,10,12],[4,5,6,7,9,11]];
G[1630]:=Group([(1,11)(2,9)(3,7)(8,12)(10,13)]);
# Design 1631: autom. group order 2, simple
B[1631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,6,10,11,13],[1,5,8,9,10,12],[1,7,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,9,10,13],[2,4,6,10,11,12],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,11],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,6,8,9,12,13],[4,5,6,7,9,11]];
G[1631]:=Group([(1,11)(2,9)(3,7)(8,12)(10,13)]);
# Design 1632: autom. group order 2, simple
B[1632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,9,10,13],[1,3,6,8,11,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,4,7,11,12,13],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,7,8,9,10,11],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,7,11,12],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,9,10]];
G[1632]:=Group([(1,6)(2,13)(4,11)(5,8)(9,10)]);
# Design 1633: autom. group order 2, simple
B[1633]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,9,10,13],[1,3,6,8,11,13],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,8,11,12,13],[2,4,5,9,11,12],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,10,11,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,8,9,10,13],[3,6,7,8,9,12],[4,5,6,7,8,11]];
G[1633]:=Group([(1,6)(3,13)(4,9)(5,10)(8,11)]);
# Design 1634: autom. group order 2, simple, derived
B[1634]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,7,10,13],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,6,7,8,11],[1,5,8,9,12,13],[1,7,9,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[3,6,7,9,10,11],[4,5,6,7,10,12]];
G[1634]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 1635: autom. group order 2, simple, derived
B[1635]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,7,10,13],[1,4,6,8,9,12],[1,4,8,11,12,13],[1,5,6,7,8,11],[1,5,8,9,10,13],[1,7,9,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,6,7,9,10,11],[4,5,6,7,10,12]];
G[1635]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 1636: autom. group order 2, simple
B[1636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,7,9,10,11],[4,5,6,7,8,10]];
G[1636]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 1637: autom. group order 2, simple, derived
B[1637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,12,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,7,9,11,12],[4,5,6,7,8,10]];
G[1637]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 1638: autom. group order 2, simple
B[1638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,9,12],[1,4,8,11,12,13],[1,5,6,7,11,12],[1,5,9,10,12,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,6,7,9,10,11],[4,5,6,7,8,10]];
G[1638]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 1639: autom. group order 2, simple, derived
B[1639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,12,13],[1,4,6,8,9,12],[1,4,8,11,12,13],[1,5,6,7,10,11],[1,5,9,10,12,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,6,7,9,11,12],[4,5,6,7,8,10]];
G[1639]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 1640: autom. group order 2, simple, derived
B[1640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,10,11,12,13],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,8,11,13],[3,5,7,8,12,13],[3,6,7,9,10,12],[4,5,6,7,10,11]];
G[1640]:=Group([(2,13)(3,10)(4,7)(5,8)(6,9)]);
# Design 1641: autom. group order 2, simple, derived
B[1641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,6,8,11,12],[1,4,9,11,12,13],[1,5,6,8,10,12],[1,5,7,10,11,12],[1,7,8,9,10,13],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,8,11,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,6,7,8,10]];
G[1641]:=Group([(2,9)(3,13)(4,7)(5,8)(6,10)]);
# Design 1642: autom. group order 2, simple
B[1642]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,10,11,12,13],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,5,8,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,7,10,11]];
G[1642]:=Group([(2,13)(3,10)(4,7)(5,8)(6,9)]);
# Design 1643: autom. group order 2, simple
B[1643]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,10,11,12,13],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,11,13],[3,5,8,9,11,13],[3,6,7,8,10,12],[4,5,6,7,10,11]];
G[1643]:=Group([(2,13)(3,10)(4,7)(5,8)(6,9)]);
# Design 1644: autom. group order 2, simple
B[1644]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,10,11,12,13],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,7,8,9,10,13],[2,3,8,9,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[3,6,7,9,10,11],[4,5,6,7,8,9]];
G[1644]:=Group([(2,13)(3,10)(4,7)(5,8)(6,9)]);
# Design 1645: autom. group order 2, simple
B[1645]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,10,11,12,13],[1,5,6,8,9,12],[1,5,7,9,11,12],[1,7,8,9,10,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[3,6,7,8,10,11],[4,5,6,7,8,9]];
G[1645]:=Group([(2,13)(3,10)(4,7)(5,8)(6,9)]);
# Design 1646: autom. group order 2, simple, derived
B[1646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,11,12],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,8,9]];
G[1646]:=Group([(1,6)(2,13)(4,10)(5,11)]);
# Design 1647: autom. group order 2, simple, derived
B[1647]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,9,10,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,9,11],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,8,9]];
G[1647]:=Group([(1,6)(2,13)(4,10)(5,11)]);
# Design 1648: autom. group order 2, simple, derived
B[1648]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,6,9,12,13],[1,4,5,9,10,12],[1,4,6,7,9,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,11,12,13],[1,7,8,9,10,11],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,7,10,12,13],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1648]:=Group([(1,13)(2,10)(5,11)]);
# Design 1649: autom. group order 2, simple, derived
B[1649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,6,9,12,13],[1,4,5,8,10,12],[1,4,6,7,9,13],[1,4,9,10,11,12],[1,5,6,8,10,13],[1,5,7,11,12,13],[1,7,8,9,10,11],[2,3,9,10,11,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,7,10,12,13],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1649]:=Group([(1,13)(2,10)(5,11)]);
# Design 1650: autom. group order 2, simple
B[1650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,10,13],[1,5,7,8,11,12],[1,8,9,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,7,8,11]];
G[1650]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1651: autom. group order 2, simple, derived
B[1651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,11,13],[1,4,5,11,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,8,9,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,10,11],[3,6,7,9,12,13],[4,5,6,7,8,11]];
G[1651]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1652: autom. group order 2, simple, derived
B[1652]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,13],[1,4,6,8,10,11],[1,4,7,9,12,13],[1,5,6,7,8,12],[1,5,8,10,11,13],[1,7,9,10,11,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,11,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,9,11]];
G[1652]:=Group([(1,6)(2,13)(4,10)(5,12)]);
# Design 1653: autom. group order 2, simple, derived
B[1653]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,11,13],[1,4,6,8,10,11],[1,4,7,9,12,13],[1,5,6,7,8,12],[1,5,8,9,10,13],[1,7,9,10,11,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,11,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,9,11]];
G[1653]:=Group([(1,6)(2,13)(4,10)(5,12)]);
# Design 1654: autom. group order 2, simple
B[1654]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,9,11,13],[1,5,6,7,11,12],[1,5,9,10,12,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,8,9]];
G[1654]:=Group([(1,6)(2,13)(4,10)(5,11)]);
# Design 1655: autom. group order 2, simple, derived
B[1655]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,7,9,11],[1,5,9,10,12,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,8,9]];
G[1655]:=Group([(1,6)(2,13)(4,10)(5,11)]);
# Design 1656: autom. group order 2, simple
B[1656]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,4,7,9,11,13],[1,5,6,8,9,10],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,8,9],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,9,10,12],[3,6,7,9,12,13],[4,5,6,7,10,11]];
G[1656]:=Group([(1,13)(3,10)(4,7)(5,8)(9,11)]);
# Design 1657: autom. group order 2, simple
B[1657]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,4,7,9,11,13],[1,5,6,8,9,10],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,8,11,12],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,7,8,9],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,9,12,13],[4,5,6,7,10,11]];
G[1657]:=Group([(1,13)(3,10)(4,7)(5,8)(9,11)]);
# Design 1658: autom. group order 2, simple
B[1658]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,9,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,10,11,12],[1,5,7,8,11,13],[1,7,8,9,10,11],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,7,8,9],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,7,10,13],[3,5,8,9,10,12],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[1658]:=Group([(1,6)(2,13)(4,10)(5,8)(9,11)]);
# Design 1659: autom. group order 2, simple
B[1659]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,7,8,9,10,11],[2,3,9,11,12,13],[2,4,5,9,10,13],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[1659]:=Group([(1,6)(2,13)(4,10)(5,8)(9,11)]);
# Design 1660: autom. group order 2, simple
B[1660]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,6,9,12,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,7,8,9,11,12],[2,3,9,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,10,12,13],[3,4,5,8,12,13],[3,4,6,8,11,12],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,8,9,11,13],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[1660]:=Group([(1,6)(3,13)(4,11)(5,8)(9,12)]);
# Design 1661: autom. group order 2, simple, derived
B[1661]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,11,12],[2,4,9,10,12,13],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,8,9]];
G[1661]:=Group([(1,6)(2,13)(4,10)(5,11)]);
# Design 1662: autom. group order 2, simple, derived
B[1662]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,9,11,12],[1,5,7,9,10,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,9,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,8,9]];
G[1662]:=Group([(1,6)(2,13)(4,10)(5,11)]);
# Design 1663: autom. group order 2, simple
B[1663]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,4,5,7,10,12],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,8,9,11,12],[1,7,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,11,13],[2,4,6,8,9,11],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,10,11,13],[3,5,7,8,9,13],[3,6,7,8,11,12],[4,5,6,7,9,13]];
G[1663]:=Group([(1,8)(2,7)(5,11)(6,10)(9,12)]);
# Design 1664: autom. group order 2, simple, derived
B[1664]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,8,10,11],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,8,9,10,12],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,10,12],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[1664]:=Group([(2,9)(3,10)(4,13)(6,11)(8,12)]);
# Design 1665: autom. group order 2, simple, derived
B[1665]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,8,10,11],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,10,12],[3,6,7,8,9,13],[4,5,6,7,11,13]];
G[1665]:=Group([(2,9)(3,10)(4,13)(6,11)(8,12)]);
# Design 1666: autom. group order 2, simple, derived
B[1666]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,8,11,12],[1,4,6,8,9,10],[1,4,7,8,10,13],[1,5,6,8,11,13],[1,5,9,10,12,13],[1,7,9,10,11,12],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,10,11,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,7,8,12,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1666]:=Group([(2,10)(3,9)(4,12)(6,13)(8,11)]);
# Design 1667: autom. group order 2, simple, derived
B[1667]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,8,11,12],[1,4,6,8,9,10],[1,4,7,8,10,13],[1,5,6,8,11,13],[1,5,9,10,12,13],[1,7,9,10,11,12],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,9,10,11],[2,4,7,9,11,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,10,11,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,7,12,13]];
G[1667]:=Group([(2,10)(3,9)(4,12)(6,13)(8,11)]);
# Design 1668: autom. group order 2, simple
B[1668]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,10,11],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,6,8,10,13],[1,5,7,8,9,13],[1,8,9,10,11,12],[2,3,9,10,12,13],[2,4,5,9,11,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,5,6,7,12,13],[3,5,7,10,11,13],[3,6,7,9,10,11],[4,5,6,9,11,12]];
G[1668]:=Group([(1,13)(3,11)(5,8)(6,10)(7,9)]);
# Design 1669: autom. group order 2, simple
B[1669]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,5,8,9,10,13],[1,7,8,10,11,12],[2,3,7,8,10,13],[2,4,5,10,11,12],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[3,6,7,9,10,12],[4,5,6,7,8,11]];
G[1669]:=Group([(1,11)(2,13)(5,9)(7,10)]);
# Design 1670: autom. group order 2, simple, derived
B[1670]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,8,10,13],[1,4,7,10,11,12],[1,5,6,9,12,13],[1,5,8,9,11,12],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,7,8,12,13],[2,6,7,9,10,11],[3,4,5,8,9,11],[3,4,6,7,9,12],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,7,8,10,11],[3,6,8,9,11,13],[4,5,6,10,11,12]];
G[1670]:=Group([(1,10)(3,9)(6,13)(7,12)]);
# Design 1671: autom. group order 2, simple
B[1671]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,6,7,11,13]];
G[1671]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1672: autom. group order 2, simple
B[1672]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,7,10,11,13],[2,4,5,8,9,13],[2,4,6,8,10,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,6,7,11,13]];
G[1672]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1673: autom. group order 2, simple
B[1673]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,7,12,13],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,8,9,11,12],[1,7,8,10,11,12],[2,3,7,9,12,13],[2,4,5,8,10,12],[2,4,6,8,12,13],[2,4,7,9,10,11],[2,5,6,10,11,12],[2,5,7,9,11,13],[2,6,8,9,10,13],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,8,9,12],[4,5,6,7,9,12]];
G[1673]:=Group([(1,5)(2,13)(3,7)(4,10)(9,12)]);
# Design 1674: autom. group order 2, simple
B[1674]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,7,12,13],[1,4,6,9,11,13],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,8,9,11,12],[1,7,8,9,10,11],[2,3,7,9,12,13],[2,4,5,8,9,10],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,10,11,12],[2,5,7,9,11,13],[2,6,8,10,12,13],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,9,10,11,13],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,8,9,12],[4,5,6,7,9,12]];
G[1674]:=Group([(1,5)(2,13)(3,7)(4,10)(9,12)]);
# Design 1675: autom. group order 2, simple
B[1675]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,9,10,11,13],[1,5,6,7,10,13],[1,5,8,9,11,12],[1,7,8,10,11,12],[2,3,7,9,12,13],[2,4,5,10,11,12],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,12,13],[3,4,5,8,9,11],[3,4,6,7,11,12],[3,4,8,10,12,13],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[1675]:=Group([(1,5)(2,13)(3,7)(4,10)(9,12)]);
# Design 1676: autom. group order 2, simple
B[1676]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,6,7,10,13],[1,5,8,9,11,12],[1,7,8,9,10,11],[2,3,7,9,12,13],[2,4,5,9,10,11],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,12,13],[3,4,5,8,11,12],[3,4,6,7,9,11],[3,4,8,9,10,13],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,10,11,12],[4,5,6,7,9,12]];
G[1676]:=Group([(1,5)(2,13)(3,7)(4,10)(9,12)]);
# Design 1677: autom. group order 2, simple, derived
B[1677]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,4,8,10,11,12],[1,5,6,7,9,12],[1,5,8,9,10,13],[1,7,8,9,11,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,10,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1677]:=Group([(1,12)(3,13)(5,7)(6,9)]);
# Design 1678: autom. group order 2, simple, derived
B[1678]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,4,8,10,11,12],[1,5,6,7,9,12],[1,5,8,9,11,13],[1,7,8,9,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,8,10,12],[3,5,7,8,10,13],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[1678]:=Group([(1,12)(3,13)(5,7)(6,9)]);
# Design 1679: autom. group order 2, simple, derived
B[1679]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,10,11],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,7,8,9,11,13],[2,3,7,9,10,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,8,9,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,9,10,11,12],[4,5,6,7,9,13]];
G[1679]:=Group([(1,12)(2,11)(4,9)(6,7)(8,10)]);
# Design 1680: autom. group order 2, simple, derived
B[1680]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,7,9,10,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,8,9,13],[3,5,8,9,11,12],[3,6,7,10,11,12],[4,5,6,7,9,12]];
G[1680]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1681: autom. group order 2, simple
B[1681]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,7,9,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,9,10,11],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[3,6,7,8,10,13],[4,5,6,8,11,12]];
G[1681]:=Group([(1,7)(2,8)(5,9)(6,11)(10,12)]);
# Design 1682: autom. group order 2, simple, derived
B[1682]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,6,8,11,13]];
G[1682]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1683: autom. group order 2, simple, derived
B[1683]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,9,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,8,10,11],[3,5,7,9,11,12],[3,6,7,9,12,13],[4,5,6,8,9,12]];
G[1683]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1684: autom. group order 2, simple
B[1684]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,8,9,13],[3,5,7,9,11,12],[3,6,7,10,11,12],[4,5,6,8,9,12]];
G[1684]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1685: autom. group order 2, simple, derived
B[1685]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,9,13],[2,4,6,9,11,13],[2,4,7,8,10,11],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,10,11],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,8,9,12]];
G[1685]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1686: autom. group order 2, simple
B[1686]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,8,9,12]];
G[1686]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1687: autom. group order 2, simple
B[1687]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,6,8,9,13],[1,5,7,8,12,13],[1,7,9,10,11,12],[2,3,7,9,10,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1687]:=Group([(1,11)(2,7)(3,9)(10,13)]);
# Design 1688: autom. group order 2, simple
B[1688]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,6,8,9,13],[1,5,7,8,12,13],[1,7,9,10,11,12],[2,3,7,9,10,13],[2,4,5,11,12,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,12],[3,4,5,8,9,12],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,12,13],[4,5,6,7,9,11]];
G[1688]:=Group([(1,11)(2,7)(3,9)(10,13)]);
# Design 1689: autom. group order 2, simple
B[1689]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,7,9,10,11,12],[2,3,7,9,10,13],[2,4,5,10,11,12],[2,4,6,9,10,12],[2,4,7,8,9,11],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1689]:=Group([(1,11)(2,7)(3,9)(10,13)]);
# Design 1690: autom. group order 2, simple
B[1690]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,7,9,10,11,12],[2,3,7,9,10,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,9,12],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,12,13],[4,5,6,7,9,11]];
G[1690]:=Group([(1,11)(2,7)(3,9)(10,13)]);
# Design 1691: autom. group order 2, simple
B[1691]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,7,8,10,12,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,9,11,12,13],[4,5,6,7,9,12]];
G[1691]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1692: autom. group order 2, simple
B[1692]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,9,10,12],[1,7,8,10,12,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,8,9,11],[3,6,9,11,12,13],[4,5,6,7,9,12]];
G[1692]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1693: autom. group order 2, simple
B[1693]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,9,10,13],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,7,8,9,11,13],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,9,12,13],[3,5,8,10,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1693]:=Group([(1,11)(2,9)(3,7)(8,12)]);
# Design 1694: autom. group order 2, simple
B[1694]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,6,8,9,10],[1,4,9,10,12,13],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,7,8,9,11,13],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,9,12,13],[3,5,8,10,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1694]:=Group([(1,11)(2,9)(3,7)(8,12)]);
# Design 1695: autom. group order 2, simple
B[1695]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,4,8,9,10,13],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,7,8,9,11,13],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,8,10,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1695]:=Group([(1,11)(2,9)(3,7)(8,12)]);
# Design 1696: autom. group order 2, simple
B[1696]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,6,9,11,12],[1,4,5,7,12,13],[1,4,6,8,9,10],[1,4,9,10,12,13],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,7,8,9,11,13],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,8,10,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[1696]:=Group([(1,11)(2,9)(3,7)(8,12)]);
# Design 1697: autom. group order 2, simple
B[1697]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,7,8,10,12,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,9,11,12,13],[4,5,6,7,9,12]];
G[1697]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1698: autom. group order 2, simple
B[1698]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,9,10,12],[1,7,8,10,12,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,8,9,10,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,9,11,12,13],[4,5,6,7,9,12]];
G[1698]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1699: autom. group order 2, simple
B[1699]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,8,10],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,7,11,12],[3,5,7,9,10,13],[3,6,7,8,9,11],[4,5,6,8,10,11]];
G[1699]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1700: autom. group order 2, simple
B[1700]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,9,10,12],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,8,10],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[3,6,7,8,9,11],[4,5,6,8,10,11]];
G[1700]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1701: autom. group order 2, simple
B[1701]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,8,10],[2,4,6,8,12,13],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,7,10,11,12],[3,6,7,8,9,11],[4,5,6,8,10,11]];
G[1701]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1702: autom. group order 2, simple
B[1702]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,9,10,12],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,8,10],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,6,8,10,11]];
G[1702]:=Group([(2,11)(3,13)(4,5)(6,7)(8,10)]);
# Design 1703: autom. group order 2, simple, derived
B[1703]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,9,12,13],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,6,8,12],[2,4,6,9,10,11],[2,4,7,10,11,13],[2,5,7,8,9,11],[2,5,9,10,12,13],[2,6,7,8,12,13],[3,4,5,11,12,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[3,6,7,8,9,10],[4,5,6,7,9,12]];
G[1703]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1704: autom. group order 2, simple, derived
B[1704]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,7,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,6,8,12],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,8,9,12,13],[3,4,5,11,12,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,6,9,11,13],[3,6,7,8,9,10],[4,5,6,7,9,12]];
G[1704]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1705: autom. group order 2, simple
B[1705]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,7,10,12],[1,4,7,8,9,10],[1,5,7,8,11,13],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,7,8,12,13],[2,4,5,6,12,13],[2,4,6,8,10,11],[2,4,8,9,11,13],[2,5,7,9,10,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,7,10,12,13],[3,4,9,10,11,13],[3,5,6,7,8,9],[3,5,6,8,10,13],[3,6,7,9,11,12],[4,5,6,7,9,11]];
G[1705]:=Group([(1,10)(2,13)(5,11)(6,9)(8,12)]);
# Design 1706: autom. group order 2, simple
B[1706]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,4,5,8,9,13],[1,4,6,7,8,10],[1,4,7,9,10,12],[1,5,7,11,12,13],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,7,8,12,13],[2,4,5,6,12,13],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,7,8,10,11],[2,5,7,9,10,13],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,7,10,12,13],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,6,7,8,9,11],[4,5,6,7,9,11]];
G[1706]:=Group([(1,10)(2,13)(5,11)(6,9)(8,12)]);
# Design 1707: autom. group order 2, simple
B[1707]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,4,7,9,10,13],[1,5,7,9,11,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,7,9,12,13],[2,4,5,6,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,7,8,10,11],[2,5,7,8,10,13],[2,6,8,9,12,13],[3,4,5,8,9,11],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,6,7,10,11,13],[4,5,6,7,9,12]];
G[1707]:=Group([(1,12)(2,4)(3,10)(5,11)(7,9)]);
# Design 1708: autom. group order 2, simple, derived
B[1708]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,6,7,8,12],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,6,7,9,10,11],[4,5,6,10,11,12]];
G[1708]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1709: autom. group order 2, simple
B[1709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,9,11,12],[1,4,6,7,8,12],[1,4,8,9,10,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,8,9,13],[3,6,7,9,10,11],[4,5,6,10,11,12]];
G[1709]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1710: autom. group order 2, simple
B[1710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,12],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,9,10,13],[3,6,7,8,9,11],[4,5,6,8,11,12]];
G[1710]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1711: autom. group order 2, simple, derived
B[1711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,9,10,13],[3,6,7,8,9,11],[4,5,6,8,11,12]];
G[1711]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1712: autom. group order 2, simple
B[1712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,8,10,13],[2,4,5,6,8,11],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,9,10,13],[3,4,5,7,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,13]];
G[1712]:=Group([(1,7)(2,12)(3,5)(4,9)]);
# Design 1713: autom. group order 2, simple
B[1713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,13],[1,5,7,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,7,9,12,13],[2,4,5,6,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,7,8,10,13],[2,5,8,9,10,11],[2,6,7,8,12,13],[3,4,5,7,8,11],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1713]:=Group([(1,12)(2,4)(3,10)(5,11)(7,9)]);
# Design 1714: autom. group order 2, simple
B[1714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,10,11,13],[1,3,6,9,10,13],[1,4,5,11,12,13],[1,4,6,8,9,11],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,8,11,12,13],[2,4,5,6,8,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,10,11]];
G[1714]:=Group([(1,9)(2,13)(5,10)(6,7)(8,12)]);
# Design 1715: autom. group order 2, simple
B[1715]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,10,11,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,8,9,11],[1,4,7,9,11,12],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,8,11,12,13],[2,4,5,6,12,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,9,10],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,6,7,10,11]];
G[1715]:=Group([(1,9)(2,13)(5,10)(6,7)(8,12)]);
# Design 1716: autom. group order 2, simple, derived
B[1716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,9,10],[1,4,6,7,8,13],[1,4,9,11,12,13],[1,5,7,8,11,12],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,6,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,6,7,8,10,11],[4,5,6,7,10,12]];
G[1716]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1717: autom. group order 2, simple, derived
B[1717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,6,7,8,13],[1,4,9,11,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,6,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,7,10,12]];
G[1717]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1718: autom. group order 2, simple
B[1718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,9,13],[1,4,5,8,10,11],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,10,11,12,13],[2,4,5,6,12,13],[2,4,7,8,11,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,13],[3,6,8,10,11,13],[4,5,6,7,9,11]];
G[1718]:=Group([(1,8)(2,13)(4,9)(6,7)(10,12)]);
# Design 1719: autom. group order 2, simple
B[1719]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,9,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,9,10,12,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,10,11,12,13],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,8,9,10,12],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,5,8,12,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,13],[3,6,8,10,11,13],[4,5,6,7,9,11]];
G[1719]:=Group([(1,8)(2,13)(4,9)(6,7)(10,12)]);
# Design 1720: autom. group order 2, simple, derived
B[1720]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,6,7,9,12],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,10,11,12,13],[2,4,5,6,12,13],[2,4,7,8,9,10],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,7,8,9,13],[3,6,8,9,11,12],[4,5,6,7,10,11]];
G[1720]:=Group([(1,13)(3,12)(7,10)]);
# Design 1721: autom. group order 2, simple, derived
B[1721]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,8,10,12],[1,4,6,8,10,11],[1,4,7,9,10,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[2,3,8,10,12,13],[2,4,5,6,9,13],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,8,9,10,11],[4,5,6,7,11,12]];
G[1721]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 1722: autom. group order 2, simple, derived
B[1722]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,4,7,9,11,12],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,10,11,12,13],[2,4,5,6,12,13],[2,4,7,8,9,10],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,7,8,9,13],[3,6,8,9,11,12],[4,5,6,7,10,11]];
G[1722]:=Group([(1,13)(3,12)(7,10)]);
# Design 1723: autom. group order 2, simple
B[1723]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,4,5,8,11,12],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,8,9,10,13],[2,3,8,9,10,12],[2,4,5,6,8,13],[2,4,7,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,7,9,12]];
G[1723]:=Group([(1,8)(2,7)(5,11)(6,10)(9,13)]);
# Design 1724: autom. group order 2, simple
B[1724]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,9,11,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,8,10,11,13],[2,4,5,6,8,10],[2,4,7,10,12,13],[2,4,9,10,11,12],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,6,9,11,12],[3,4,7,8,9,11],[3,5,6,8,11,13],[3,5,7,9,10,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1724]:=Group([(1,11)(2,9)(3,4)(5,12)]);
# Design 1725: autom. group order 2, simple, derived
B[1725]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,6,8,9,12],[3,4,7,8,11,13],[3,5,6,7,8,12],[3,5,7,9,11,13],[3,6,7,9,10,11],[4,5,6,10,11,12]];
G[1725]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1726: autom. group order 2, simple, derived
B[1726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,12,13],[1,4,6,8,11,12],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,8,9,11,12],[2,4,5,6,8,13],[2,4,7,8,10,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,9,11,12]];
G[1726]:=Group([(1,13)(2,11)(5,7)(6,10)(8,9)]);
# Design 1727: autom. group order 2, simple
B[1727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,7,12,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,9,10,12,13],[2,4,5,6,8,13],[2,4,7,8,10,12],[2,4,8,9,11,12],[2,5,6,7,10,11],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,9,11,12]];
G[1727]:=Group([(1,13)(2,11)(5,7)(6,10)(8,9)]);
# Design 1728: autom. group order 2, simple, derived
B[1728]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,7,8,10,13],[1,5,9,10,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,8,9,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[3,6,7,8,9,11],[4,5,6,8,11,12]];
G[1728]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1729: autom. group order 2, simple
B[1729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,11,12],[2,4,5,6,9,12],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[3,6,7,9,12,13],[4,5,6,10,11,12]];
G[1729]:=Group([(1,11)(2,7)(3,5)(4,13)]);
# Design 1730: autom. group order 2, simple
B[1730]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,11,12],[2,4,5,6,8,10],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,9,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[3,6,7,8,10,13],[4,5,6,10,11,12]];
G[1730]:=Group([(1,11)(2,7)(3,5)(4,13)]);
# Design 1731: autom. group order 2, simple, derived
B[1731]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,7,8,9,13],[2,4,5,6,11,12],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,8,11,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1731]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1732: autom. group order 2, simple
B[1732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,7,8,12,13],[1,5,9,10,11,13],[1,6,7,8,10,11],[2,3,7,8,9,13],[2,4,5,6,11,12],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1732]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1733: autom. group order 2, simple
B[1733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,8,11,13],[2,3,7,8,9,13],[2,4,5,6,11,12],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1733]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1734: autom. group order 2, simple, derived
B[1734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,7,8,12,13],[1,5,9,10,11,13],[1,6,7,8,10,11],[2,3,7,8,9,13],[2,4,5,6,11,12],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1734]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1735: autom. group order 2, simple, derived
B[1735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,9,10,11],[1,4,8,10,11,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,6,12,13],[2,4,7,8,11,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,11,13]];
G[1735]:=Group([(1,12)(2,11)(4,9)(6,8)]);
# Design 1736: autom. group order 2, simple, derived
B[1736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,7,9,10,13],[2,4,5,6,11,12],[2,4,7,8,12,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1736]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1737: autom. group order 2, simple
B[1737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,7,9,10,13],[2,4,5,6,11,12],[2,4,7,8,12,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1737]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1738: autom. group order 2, simple
B[1738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,8,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,7,9,10,13],[2,4,5,6,11,12],[2,4,7,8,12,13],[2,4,8,9,10,11],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1738]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1739: autom. group order 2, simple, derived
B[1739]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,8,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,7,9,10,13],[2,4,5,6,11,12],[2,4,7,8,12,13],[2,4,8,9,11,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13]];
G[1739]:=Group([(1,12)(2,11)(4,9)(5,7)]);
# Design 1740: autom. group order 2, simple
B[1740]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,13],[1,4,5,7,11,13],[1,4,6,9,10,11],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,7,8,9,13],[2,4,5,6,8,12],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,13]];
G[1740]:=Group([(1,12)(2,11)(4,9)(6,7)]);
# Design 1741: autom. group order 2, simple
B[1741]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,13],[1,4,5,7,8,11],[1,4,6,9,10,11],[1,4,8,9,12,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,7,8,9,13],[2,4,5,6,12,13],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,13]];
G[1741]:=Group([(1,12)(2,11)(4,9)(6,7)]);
# Design 1742: autom. group order 2, simple
B[1742]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,11,13],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,9,10,13],[2,4,5,6,8,12],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,13]];
G[1742]:=Group([(1,12)(2,11)(4,9)(6,7)]);
# Design 1743: autom. group order 2, simple
B[1743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,8,11],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,9,10,13],[2,4,5,6,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,13]];
G[1743]:=Group([(1,12)(2,11)(4,9)(6,7)]);
# Design 1744: autom. group order 2, simple
B[1744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,13],[1,4,5,7,9,11],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,7,9,10,13],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,8,10],[3,4,7,10,12,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,6,7,9,11,13],[4,5,6,10,11,12]];
G[1744]:=Group([(1,9)(3,10)(4,7)(6,13)(8,12)]);
# Design 1745: autom. group order 2, simple, derived
B[1745]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,8,12,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,5,7,9,10],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,10,11,12]];
G[1745]:=Group([(1,13)(2,11)(4,9)(5,7)]);
# Design 1746: autom. group order 2, simple, derived
B[1746]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,6,9,10,13],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,8,9,12],[3,4,5,7,8,9],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,8,11,12]];
G[1746]:=Group([(1,13)(2,11)(4,9)(5,7)]);
# Design 1747: autom. group order 2, simple
B[1747]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,8,11,12],[1,4,6,7,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,8,9,10,13],[2,3,7,9,12,13],[2,4,5,6,8,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,7,9,12]];
G[1747]:=Group([(1,8)(2,7)(5,11)(6,10)(9,13)]);
# Design 1748: autom. group order 2, simple
B[1748]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,7,9,12,13],[1,5,7,8,9,10],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,6,10,12],[2,4,7,8,10,12],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,7,9,11,12],[3,6,7,10,11,12],[4,5,6,8,9,11]];
G[1748]:=Group([(2,13)(3,12)(6,11)(8,9)]);
# Design 1749: autom. group order 2, simple
B[1749]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,7,9,12,13],[1,5,7,8,9,10],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,6,10,12],[2,4,7,8,10,12],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,9,11,13],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[3,6,7,10,11,12],[4,5,6,8,9,11]];
G[1749]:=Group([(2,13)(3,12)(6,11)(8,9)]);
# Design 1750: autom. group order 2, simple
B[1750]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,6,7,8,12],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,6,10,11,12]];
G[1750]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1751: autom. group order 2, simple, derived
B[1751]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,9,11,12],[1,4,6,7,8,12],[1,4,8,9,10,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,10,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,6,10,11,12]];
G[1751]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1752: autom. group order 2, simple, derived
B[1752]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,12],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,10,11,12],[3,6,7,8,9,11],[4,5,6,8,11,12]];
G[1752]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1753: autom. group order 2, simple
B[1753]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,9,10,13],[3,5,7,10,11,12],[3,6,7,8,9,11],[4,5,6,8,11,12]];
G[1753]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1754: autom. group order 2, simple
B[1754]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,8,10,11,12],[2,4,5,6,8,10],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,9,10,12],[3,6,8,9,10,13],[4,5,6,8,11,12]];
G[1754]:=Group([(1,11)(2,9)(3,4)(5,13)]);
# Design 1755: autom. group order 2, simple, derived
B[1755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[3,6,7,9,10,11],[4,5,6,10,11,12]];
G[1755]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1756: autom. group order 2, simple, derived
B[1756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,7,10,12],[3,5,9,10,11,13],[3,6,7,8,9,11],[4,5,6,8,11,12]];
G[1756]:=Group([(1,13)(3,12)(4,9)(5,7)]);
# Design 1757: autom. group order 2, simple
B[1757]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,4,7,9,10,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,8,10,13],[2,4,5,6,8,9],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,6,8,9,10,12],[3,4,5,7,10,12],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11]];
G[1757]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)]);
# Design 1758: autom. group order 2, simple
B[1758]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,4,5,6,9,13],[2,4,7,8,9,11],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,8,10,11,12],[3,4,5,7,10,12],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11]];
G[1758]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)]);
# Design 1759: autom. group order 2, simple
B[1759]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,4,7,8,9,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,7,8,10,13],[2,4,5,6,9,13],[2,4,7,9,10,11],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,5,7,10,12],[3,4,6,8,12,13],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[3,6,7,9,10,13],[4,5,6,7,8,11]];
G[1759]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)]);
# Design 1760: autom. group order 2, simple
B[1760]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,8,10,11],[1,4,6,9,12,13],[1,4,7,9,10,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,7,8,10,13],[2,4,5,6,9,13],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,5,7,12,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,7,8,11]];
G[1760]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)(10,13)]);
# Design 1761: autom. group order 2, simple
B[1761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,4,5,6,9,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,8,10,11,12],[3,4,5,7,10,12],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,7,8,11]];
G[1761]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)]);
# Design 1762: autom. group order 2, simple
B[1762]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,7,8,10,13],[2,4,5,6,8,13],[2,4,7,10,11,13],[2,4,9,11,12,13],[2,5,6,7,9,12],[2,5,8,9,10,12],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,7,9,11,13],[3,6,8,9,10,13],[4,5,6,7,10,11]];
G[1762]:=Group([(2,7)(3,8)(5,12)(6,9)(10,13)]);
# Design 1763: autom. group order 2, simple, derived
B[1763]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,10,11],[2,3,7,9,10,13],[2,4,5,6,10,11],[2,4,7,8,9,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,8,9,11,13],[3,4,5,8,11,12],[3,4,6,8,12,13],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,9,10,11,12],[4,5,6,7,9,13]];
G[1763]:=Group([(1,11)(2,12)(4,9)(6,7)(8,10)]);
# Design 1764: autom. group order 2, simple, derived
B[1764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,8,9,12],[1,4,6,9,11,13],[1,4,7,10,11,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,7,9,12,13],[2,4,5,6,10,13],[2,4,7,8,9,10],[2,4,8,10,11,13],[2,5,6,10,11,12],[2,5,7,8,11,12],[2,6,8,9,12,13],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[1764]:=Group([(1,10)(2,9)(4,11)(6,8)]);
# Design 1765: autom. group order 2, simple, derived
B[1765]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,8,9,13],[1,4,6,9,11,13],[1,4,7,10,11,12],[1,5,7,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[2,3,7,9,12,13],[2,4,5,6,10,12],[2,4,7,8,9,10],[2,4,8,10,11,13],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,8,9,12,13],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[1765]:=Group([(1,10)(2,9)(4,11)(6,8)]);
# Design 1766: autom. group order 2, simple
B[1766]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,6,10,11],[2,4,7,8,9,11],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,7,11,13]];
G[1766]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1767: autom. group order 2, simple, derived
B[1767]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,9,11],[1,5,9,10,12,13],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,6,10,11],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,7,11,13]];
G[1767]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1768: autom. group order 2, simple, derived
B[1768]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,7,8,10,13],[2,4,5,6,8,13],[2,4,8,9,10,11],[2,4,9,11,12,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,8,9,10,13],[4,5,6,7,10,11]];
G[1768]:=Group([(2,7)(3,8)(5,12)(6,9)(10,13)]);
# Design 1769: autom. group order 2, simple, derived
B[1769]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,7,8,9,12],[1,5,7,8,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,7,8,10,11],[2,4,5,6,8,13],[2,4,8,9,10,13],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,8,11,12,13],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,7,9,12,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,8,9,10,11],[4,5,6,7,10,11]];
G[1769]:=Group([(2,7)(3,8)(5,12)(6,9)]);
# Design 1770: autom. group order 2, simple
B[1770]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,7,8,9,12],[1,5,7,8,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,4,5,6,8,13],[2,4,8,9,10,11],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,10,11,12],[2,6,8,11,12,13],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,8,9,10,11],[4,5,6,7,10,13]];
G[1770]:=Group([(2,7)(3,8)(5,12)(6,9)]);
# Design 1771: autom. group order 2, simple
B[1771]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,7,8,9,12],[1,5,7,8,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,4,5,6,8,13],[2,4,8,9,10,11],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[3,6,8,9,11,13],[4,5,6,7,10,13]];
G[1771]:=Group([(2,7)(3,8)(5,12)(6,9)]);
# Design 1772: autom. group order 2, simple, derived
B[1772]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,8,9,12,13],[2,4,5,6,8,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,6,8,9,10,13],[4,5,6,9,11,12]];
G[1772]:=Group([(2,7)(3,8)(5,12)(6,9)(10,13)]);
# Design 1773: autom. group order 2, simple, derived
B[1773]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,10,11],[2,3,8,10,12,13],[2,4,5,6,10,11],[2,4,7,8,9,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,9,10,13],[2,6,8,9,11,13],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,6,9,10,11,12],[4,5,6,8,12,13]];
G[1773]:=Group([(1,11)(2,12)(4,9)(6,7)(8,10)]);
# Design 1774: autom. group order 2, simple
B[1774]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,7,9,12,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,11],[3,4,7,8,10,11],[3,5,6,8,9,13],[3,5,7,8,12,13],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1774]:=Group([(2,11)(3,13)(6,12)(7,9)]);
# Design 1775: autom. group order 2, simple
B[1775]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,7,9,12,13],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,11],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,8,9,12,13],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1775]:=Group([(2,11)(3,13)(6,12)(7,9)]);
# Design 1776: autom. group order 2, simple, derived
B[1776]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,9,10,11,13],[1,5,7,8,9,11],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,6,10,11],[2,4,7,8,9,11],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,7,11,13]];
G[1776]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1777: autom. group order 2, simple
B[1777]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,9,12,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,8,10,13],[2,3,7,8,10,12],[2,4,5,6,10,13],[2,4,7,9,11,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1777]:=Group([(1,10)(2,9)(4,11)(6,8)(7,13)]);
# Design 1778: autom. group order 2, simple
B[1778]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,9,12,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,4,5,6,10,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,8,10],[3,5,8,9,11,13],[3,6,9,10,11,13],[4,5,6,7,11,12]];
G[1778]:=Group([(1,13)(2,11)(4,9)(6,8)(7,10)]);
# Design 1779: autom. group order 2, simple, derived
B[1779]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,12,13],[1,4,6,9,10,11],[1,4,8,10,11,12],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,8,10,13],[2,3,7,10,11,12],[2,4,5,6,10,13],[2,4,7,8,9,13],[2,4,8,10,11,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,8,10],[3,5,8,9,11,13],[3,6,9,10,11,13],[4,5,6,7,11,12]];
G[1779]:=Group([(1,13)(2,11)(4,9)(6,8)(7,10)]);
# Design 1780: autom. group order 2, simple, derived
B[1780]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,8,10,13],[2,3,7,9,12,13],[2,4,5,6,10,13],[2,4,7,8,10,11],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1780]:=Group([(1,10)(2,9)(4,11)(6,8)(7,13)]);
# Design 1781: autom. group order 2, simple, derived
B[1781]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,7,8,9,13],[2,4,5,6,8,11],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,10,12,13],[3,5,8,9,11,13],[3,6,7,8,11,12],[4,5,6,7,9,13]];
G[1781]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 1782: autom. group order 2, simple, derived
B[1782]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,10,11],[1,4,6,8,10,12],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,8,9,11,13],[2,3,8,10,12,13],[2,4,5,6,11,13],[2,4,7,9,10,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,9,10,11,13],[3,6,7,10,11,12],[4,5,6,10,12,13]];
G[1782]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 1783: autom. group order 2, simple, derived
B[1783]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,10,11],[1,4,6,8,10,12],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,4,5,6,11,13],[2,4,7,9,10,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,9,10,11,13],[3,6,7,10,11,12],[4,5,6,10,12,13]];
G[1783]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 1784: autom. group order 2, simple, derived
B[1784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,4,5,6,8,11],[2,4,7,8,9,13],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,5,8,9,11,13],[3,6,7,8,11,12],[4,5,6,10,12,13]];
G[1784]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 1785: autom. group order 2, simple
B[1785]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,11],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,9,12,13],[2,3,8,10,12,13],[2,4,5,6,12,13],[2,4,7,8,9,11],[2,4,9,10,11,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,5,7,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,8,9,13],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,8,11,12]];
G[1785]:=Group([(1,7)(3,8)(5,9)(6,11)(10,12)]);
# Design 1786: autom. group order 2, simple, derived
B[1786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,9,10,13],[2,3,8,9,10,13],[2,4,5,6,10,11],[2,4,7,8,11,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,9,11,13]];
G[1786]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1787: autom. group order 2, simple
B[1787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,8,9,10,13],[2,3,8,9,10,13],[2,4,5,6,10,11],[2,4,7,8,9,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,9,11,13]];
G[1787]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1788: autom. group order 2, simple, derived
B[1788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,11,13],[1,4,5,8,12,13],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,9,10,12],[1,6,8,9,10,13],[2,3,8,9,10,13],[2,4,5,6,10,11],[2,4,7,8,9,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,9,11,13]];
G[1788]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1789: autom. group order 2, simple
B[1789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,8,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,4,5,6,10,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,9],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[3,6,8,9,10,12],[4,5,6,7,11,12]];
G[1789]:=Group([(1,10)(2,9)(4,12)(6,7)]);
# Design 1790: autom. group order 2, simple
B[1790]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,7,8,9,13],[2,4,5,6,8,13],[2,4,8,10,11,12],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,5,6,10,12,13],[3,5,8,9,11,12],[3,6,8,9,10,13],[4,5,6,7,9,11]];
G[1790]:=Group([(2,12)(3,13)(5,7)(6,9)(8,10)]);
# Design 1791: autom. group order 2, simple, derived
B[1791]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,8,10,12,13],[2,4,5,6,8,13],[2,4,7,8,9,11],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,8,9,10,13],[4,5,6,10,11,12]];
G[1791]:=Group([(2,12)(3,13)(5,7)(6,9)(8,10)]);
# Design 1792: autom. group order 2, simple, derived
B[1792]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,8,10,12,13],[2,4,5,6,8,13],[2,4,7,8,9,11],[2,4,8,10,11,12],[2,5,6,7,9,12],[2,5,7,9,10,13],[2,6,7,10,11,13],[3,4,5,7,11,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,8,9,11,12],[3,6,8,9,10,13],[4,5,6,10,11,12]];
G[1792]:=Group([(2,12)(3,13)(5,7)(6,9)(8,10)]);
# Design 1793: autom. group order 2, simple, derived
B[1793]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,9,12,13],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,9,10,12],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,7,9,10,12,13],[3,4,5,11,12,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,6,7,8,9,10],[4,5,6,7,9,12]];
G[1793]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1794: autom. group order 2, simple, derived
B[1794]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,7,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,7,9,10,12,13],[3,4,5,11,12,13],[3,4,7,8,10,11],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,6,7,8,9,10],[4,5,6,7,9,12]];
G[1794]:=Group([(2,11)(3,12)(4,10)(5,8)]);
# Design 1795: autom. group order 2, simple
B[1795]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,10],[1,3,6,7,11,12],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,7,9,10,11,13],[3,4,5,9,10,12],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,6,9,11,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1795]:=Group([(1,7)(2,11)(3,10)(4,5)(9,12)]);
# Design 1796: autom. group order 2, simple
B[1796]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,7,8,9,12],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,8,11,12],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,7,9,10,12,13],[3,4,5,9,10,11],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[3,6,8,9,10,11],[4,5,6,7,9,12]];
G[1796]:=Group([(1,7)(2,12)(3,9)(4,5)(10,11)]);
# Design 1797: autom. group order 2, simple
B[1797]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,7,10,11],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,4,6,10,11,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,8,10,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1797]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1798: autom. group order 2, simple
B[1798]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,7,11,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,6,7,11,13],[2,4,6,10,11,12],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,8,10,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,7,10,11],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1798]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1799: autom. group order 2, simple
B[1799]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,9,12],[1,4,7,10,11,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,7,8,9,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,7,8,10,11,12],[3,4,5,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,6,8,11,13],[3,6,7,9,10,12],[4,5,6,7,9,13]];
G[1799]:=Group([(1,12)(3,13)(4,5)(6,10)(8,9)]);
# Design 1800: autom. group order 2, simple
B[1800]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,6,8,11,13],[1,4,9,10,11,12],[1,5,7,8,11,12],[1,5,7,9,12,13],[1,6,8,9,10,13],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,6,9,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,7,8,10,11,13],[3,4,5,8,12,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,9,11,13],[3,6,7,10,12,13],[4,5,6,7,8,9]];
G[1800]:=Group([(1,8)(2,5)(3,12)(4,11)]);
# Design 1801: autom. group order 2, simple
B[1801]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,7,10,11],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,7,8,12,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,4,6,10,11,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,7,8,12],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,6,7,9,10,12],[4,5,6,8,9,11]];
G[1801]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1802: autom. group order 2, simple
B[1802]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,7,11,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,6,7,11,13],[2,4,6,10,11,12],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,7,8,12],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,10,13],[3,6,7,9,12,13],[4,5,6,8,9,11]];
G[1802]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1803: autom. group order 2, simple
B[1803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,6,7,10,11],[1,4,7,8,12,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,6,10,11,13],[2,5,6,7,11,12],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,7,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,8,10,12],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1803]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1804: autom. group order 2, simple
B[1804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,6,7,11,13],[1,4,7,8,10,12],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,6,10,11,13],[2,5,6,7,11,12],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,7,10,11],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,8,10,12],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1804]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1805: autom. group order 2, simple
B[1805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,10,11,12],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,10,11],[2,7,8,9,10,12],[3,4,5,8,10,12],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1805]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1806: autom. group order 2, simple
B[1806]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,7,10,11],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,8,12,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,8,10],[3,5,6,7,11,13],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1806]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1807: autom. group order 2, simple
B[1807]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,8,10,12],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,6,9,11,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,10,11],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1807]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1808: autom. group order 2, simple
B[1808]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,8,12,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,6,9,10,11],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,10],[3,5,6,7,11,13],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1808]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1809: autom. group order 2, simple, derived
B[1809]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,8,9,10,11,12],[3,4,5,8,10,11],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,9,10,12],[3,6,8,9,11,13],[4,5,6,7,11,13]];
G[1809]:=Group([(1,12)(3,13)(6,8)(7,10)]);
# Design 1810: autom. group order 2, simple, derived
B[1810]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,8,9,10,11,12],[3,4,5,8,10,11],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,10,11,12],[3,6,8,9,11,13],[4,5,6,7,11,13]];
G[1810]:=Group([(1,12)(3,13)(6,8)(7,10)]);
# Design 1811: autom. group order 2, simple
B[1811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,8,12,13],[2,4,6,10,11,12],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,8,10,12],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1811]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1812: autom. group order 2, simple
B[1812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,11,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,6,11,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,6,8,12,13],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1812]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1813: autom. group order 2, simple
B[1813]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,11,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,6,11,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,7,8,11],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,6,8,9,10,11],[4,5,6,7,9,12]];
G[1813]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1814: autom. group order 2, simple
B[1814]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,8,12,13],[2,4,6,10,11,12],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,7,8,9,10,12],[3,4,5,7,8,11],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,6,8,10,12],[3,6,8,9,11,13],[4,5,6,7,9,12]];
G[1814]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1815: autom. group order 2, simple
B[1815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,4,6,10,11,12],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,7,8,9,10,12],[3,4,5,7,8,11],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,6,10,11,12],[3,6,8,9,11,13],[4,5,6,7,9,12]];
G[1815]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1816: autom. group order 2, simple
B[1816]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,4,5,9,10,11],[2,4,6,8,10,12],[2,4,6,11,12,13],[2,5,6,7,8,13],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,7,8,11],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,6,10,11,12],[3,6,8,9,11,13],[4,5,6,7,9,12]];
G[1816]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1817: autom. group order 2, simple
B[1817]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,4,6,10,11,12],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,10,11,12],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1817]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1818: autom. group order 2, simple
B[1818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,9,10,11],[2,4,6,8,10,12],[2,4,6,11,12,13],[2,5,6,7,8,13],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,10,11,12],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1818]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1819: autom. group order 2, simple, derived
B[1819]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,7,10,11,12,13],[3,4,5,7,11,12],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,6,8,9,11,13],[4,5,6,7,9,12]];
G[1819]:=Group([(2,8)(3,7)(5,11)(6,10)]);
# Design 1820: autom. group order 2, simple, derived
B[1820]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,7,9,10,11,13],[3,4,5,7,11,12],[3,4,8,9,10,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,8,11,12,13],[4,5,6,7,9,12]];
G[1820]:=Group([(2,8)(3,7)(5,11)(6,10)]);
# Design 1821: autom. group order 2, simple
B[1821]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,9,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,10,13],[2,3,7,8,10,11],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,6,9,10,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1821]:=Group([(1,13)(2,12)(4,5)(6,7)(8,10)]);
# Design 1822: autom. group order 2, simple
B[1822]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,9,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,7,8,10,11],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1822]:=Group([(1,13)(2,12)(4,5)(6,7)(8,10)]);
# Design 1823: autom. group order 2, simple
B[1823]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,6,7,11,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,6,8,9,12],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,7,9,10,12,13],[3,4,5,7,12,13],[3,4,6,8,9,10],[3,4,9,11,12,13],[3,5,6,8,12,13],[3,5,7,8,9,11],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[1823]:=Group([(1,12)(2,13)(4,5)(6,7)(10,11)]);
# Design 1824: autom. group order 2, simple
B[1824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,6,9,12,13],[1,4,5,8,9,13],[1,4,6,9,10,12],[1,4,7,9,11,13],[1,5,7,10,11,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,7,8,9,12,13],[3,4,5,7,12,13],[3,4,6,8,10,11],[3,4,10,11,12,13],[3,5,6,8,12,13],[3,5,7,8,9,10],[3,6,7,8,9,11],[4,5,6,7,9,11]];
G[1824]:=Group([(1,12)(2,13)(4,5)(6,7)(9,11)]);
# Design 1825: autom. group order 2, simple
B[1825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,11,13],[1,3,6,9,12,13],[1,4,5,8,9,13],[1,4,6,10,11,12],[1,4,7,9,11,13],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,7,8,9,12,13],[3,4,5,7,12,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[3,6,7,8,9,11],[4,5,6,7,9,11]];
G[1825]:=Group([(1,12)(2,13)(4,5)(6,7)(9,11)]);
# Design 1826: autom. group order 2, simple
B[1826]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,7,8,9,11,12],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,8,9,10,11],[4,5,6,7,11,12]];
G[1826]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 1827: autom. group order 2, simple, derived
B[1827]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,6,11,12,13],[1,4,5,8,9,11],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,10,11,12,13],[1,6,7,8,9,12],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,7,8,9,11,13],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,8,9,10,11],[4,5,6,7,11,12]];
G[1827]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 1828: autom. group order 2, simple, derived
B[1828]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,11,12,13],[1,3,6,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,6,9,10,11],[2,7,8,9,11,13],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1828]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1829: autom. group order 2, simple, derived
B[1829]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,7,8,9,10,12],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,6,7,9,10]];
G[1829]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1830: autom. group order 2, simple, derived
B[1830]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,7,8,10,11],[1,5,8,10,11,13],[1,6,8,9,12,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,7,8,9,10,12],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,9,11,13],[3,6,7,10,12,13],[4,5,6,7,9,10]];
G[1830]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1831: autom. group order 2, simple
B[1831]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,10,11,12],[1,4,6,10,11,13],[1,4,7,8,9,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,9,10,13],[2,3,8,9,10,11],[2,4,5,8,11,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,7,9,11,12,13],[3,4,5,9,12,13],[3,4,6,8,12,13],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,7,10,12,13],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1831]:=Group([(1,13)(2,12)(4,5)(6,9)(8,10)]);
# Design 1832: autom. group order 2, simple
B[1832]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,9,10,13],[2,3,8,9,10,11],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,8,13],[2,5,6,8,9,12],[2,7,9,11,12,13],[3,4,5,9,12,13],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,10,12,13],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1832]:=Group([(1,13)(2,12)(4,5)(6,9)(8,10)]);
# Design 1833: autom. group order 2, simple, derived
B[1833]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,4,5,8,11,12],[1,4,6,8,9,12],[1,4,9,10,11,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,9,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,7,8,9,12,13],[3,4,5,8,9,13],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,9,11,12],[3,6,8,10,11,12],[4,5,6,7,9,12]];
G[1833]:=Group([(1,7)(3,8)(5,13)(6,11)(10,12)]);
# Design 1834: autom. group order 2, simple
B[1834]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,7,8,10,11],[1,5,8,9,11,12],[1,6,7,9,12,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,10,11,12],[2,4,7,8,10,12],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[3,6,7,8,10,13],[4,5,6,7,9,12]];
G[1834]:=Group([(1,12)(2,4)(3,10)(5,11)]);
# Design 1835: autom. group order 2, simple
B[1835]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,10],[1,3,6,7,11,12],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,4,8,10,12,13],[1,5,7,8,10,11],[1,5,8,9,11,12],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,4,7,8,9,12],[2,5,6,8,11,12],[2,5,6,10,12,13],[2,7,9,10,11,13],[3,4,5,9,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,7,8,9,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1835]:=Group([(1,7)(2,11)(3,10)(4,5)(9,12)]);
# Design 1836: autom. group order 2, simple
B[1836]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,8,11,12],[2,4,7,8,10,11],[2,5,6,8,10,12],[2,5,6,9,11,13],[2,7,9,10,12,13],[3,4,5,9,10,11],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,7,8,11,13],[3,6,8,9,10,11],[4,5,6,7,9,12]];
G[1836]:=Group([(1,7)(2,12)(3,9)(4,5)(10,11)]);
# Design 1837: autom. group order 2, simple
B[1837]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,7,8,10,11],[1,5,8,9,11,12],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,7,10,11,12,13],[3,4,5,7,12,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1837]:=Group([(1,7)(2,11)(3,10)(4,5)]);
# Design 1838: autom. group order 2, simple
B[1838]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,7,8,10,11],[1,5,8,9,11,12],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,6,9,10,13],[2,7,10,11,12,13],[3,4,5,7,12,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,9,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1838]:=Group([(1,7)(2,11)(3,10)(4,5)]);
# Design 1839: autom. group order 2, simple, derived
B[1839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,13],[1,4,5,7,9,11],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,6,9,11,13],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,13],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[1839]:=Group([(1,11)(3,13)(4,9)(8,10)]);
# Design 1840: autom. group order 2, simple, derived
B[1840]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,7,9,11],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,10],[2,4,7,8,9,12],[2,5,6,8,10,12],[2,5,6,9,11,13],[2,7,8,9,11,13],[3,4,5,8,11,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,6,7,9,10,11],[4,5,6,7,12,13]];
G[1840]:=Group([(1,11)(3,13)(4,9)]);
# Design 1841: autom. group order 2, simple
B[1841]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,7,9,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,7,9,11,13],[3,6,7,10,11,12],[4,5,6,9,10,11]];
G[1841]:=Group([(1,12)(3,13)(4,9)(7,8)]);
# Design 1842: autom. group order 2, simple, derived
B[1842]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,7,8,13],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,7,8,10,11,12],[3,4,5,8,10,11],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,5,6,7,9,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,9,11,13]];
G[1842]:=Group([(1,12)(3,13)(6,10)(8,9)]);
# Design 1843: autom. group order 2, simple, derived
B[1843]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,7,8,13],[1,4,8,10,11,13],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,7,8,10,11,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,9,11,13]];
G[1843]:=Group([(1,12)(3,13)(6,10)(8,9)]);
# Design 1844: autom. group order 2, simple, derived
B[1844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,7,8,10,11,12],[3,4,5,8,10,11],[3,4,6,7,8,12],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,9,11,13]];
G[1844]:=Group([(1,12)(3,13)(6,10)(8,9)]);
# Design 1845: autom. group order 2, simple
B[1845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,7,9,11,13],[3,6,7,10,11,12],[4,5,6,9,10,11]];
G[1845]:=Group([(1,12)(3,13)(4,9)(7,8)]);
# Design 1846: autom. group order 2, simple, derived
B[1846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,7,8,10,13],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,7,8,10,11,12],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,6,9,11,13]];
G[1846]:=Group([(1,12)(3,13)(6,10)(8,9)]);
# Design 1847: autom. group order 2, simple
B[1847]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,7,10,11],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,9,10,12],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1847]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1848: autom. group order 2, simple
B[1848]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,7,11,13],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,9,12,13],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1848]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1849: autom. group order 2, simple
B[1849]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,6,9,10,12],[1,4,7,10,11,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,7,9,10,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,7,8,10,11,12],[3,4,5,7,8,10],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[3,6,7,8,9,12],[4,5,6,7,9,13]];
G[1849]:=Group([(1,12)(3,13)(4,5)(6,8)(9,10)]);
# Design 1850: autom. group order 2, simple
B[1850]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,7,10,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,10,11],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,8,10,13],[2,7,8,9,10,12],[3,4,5,7,11,13],[3,4,6,8,10,11],[3,4,8,9,10,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1850]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1851: autom. group order 2, simple
B[1851]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,10,11],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,8,10,13],[2,7,8,9,10,12],[3,4,5,7,10,11],[3,4,6,8,11,13],[3,4,8,9,10,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,6,9,11,12]];
G[1851]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1852: autom. group order 2, simple, derived
B[1852]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,10,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,8,9,11,12],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,9,10,11],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,8,10,13],[2,7,8,9,10,12],[3,4,5,7,11,13],[3,4,6,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[3,6,7,9,12,13],[4,5,6,10,11,12]];
G[1852]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1853: autom. group order 2, simple, derived
B[1853]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,9,11,12],[2,7,8,9,12,13],[3,4,5,7,11,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,8,9,13]];
G[1853]:=Group([(1,7)(3,8)(5,12)(6,11)(10,13)]);
# Design 1854: autom. group order 2, simple
B[1854]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,9,12],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,7,9,11,13],[3,6,8,9,11,12],[4,5,6,7,10,13]];
G[1854]:=Group([(1,9)(3,10)(4,12)(8,13)]);
# Design 1855: autom. group order 2, simple
B[1855]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,9,12],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,6,8,9,11,12],[4,5,6,7,8,10]];
G[1855]:=Group([(1,9)(3,10)(4,12)(8,13)]);
# Design 1856: autom. group order 2, simple
B[1856]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,13],[2,3,7,9,10,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,7,8,10],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,10,11,12],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,13]];
G[1856]:=Group([(1,12)(3,13)(4,5)(6,8)(9,10)]);
# Design 1857: autom. group order 2, simple
B[1857]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,7,8,13],[1,4,6,9,11,13],[1,4,8,10,11,12],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,6,8,10,13],[2,7,8,9,12,13],[3,4,5,9,12,13],[3,4,6,10,12,13],[3,4,7,8,9,10],[3,5,6,7,10,11],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,8,9,11]];
G[1857]:=Group([(1,12)(2,13)(4,5)(6,9)(8,11)]);
# Design 1858: autom. group order 2, simple
B[1858]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,7,8,13],[1,4,6,9,11,13],[1,4,8,10,11,12],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,7,8,9,12,13],[3,4,5,9,12,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,5,6,7,8,10],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,8,9,11]];
G[1858]:=Group([(1,12)(2,13)(4,5)(6,9)(8,11)]);
# Design 1859: autom. group order 2, simple
B[1859]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,7,10,12],[1,4,6,9,12,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,5,8,9,10,13],[1,6,7,10,12,13],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,8,10,12],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,7,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,11,13],[3,4,7,9,10,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[3,6,7,8,9,10],[4,5,6,8,9,11]];
G[1859]:=Group([(1,5)(2,8)(3,13)(4,7)(6,11)]);
# Design 1860: autom. group order 2, simple
B[1860]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,7,9,12],[1,4,6,8,10,12],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,9,11,12],[2,7,8,9,12,13],[3,4,5,7,11,13],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,8,9,13]];
G[1860]:=Group([(1,7)(3,8)(5,12)(6,11)(10,13)]);
# Design 1861: autom. group order 2, simple
B[1861]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,11,12],[3,4,5,7,9,12],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,6,8,9,11]];
G[1861]:=Group([(1,8)(3,7)(5,12)(6,13)(10,11)]);
# Design 1862: autom. group order 2, simple
B[1862]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,7,10,11,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,7,9,11,13],[3,6,8,10,11,12],[4,5,6,9,10,11]];
G[1862]:=Group([(1,12)(3,13)(4,9)(7,8)]);
# Design 1863: autom. group order 2, simple
B[1863]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,7,9,12,13],[1,5,7,8,9,10],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,7,8,9,11,12],[3,4,5,7,8,11],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[1863]:=Group([(2,13)(3,12)(6,11)(8,9)]);
# Design 1864: autom. group order 2, simple
B[1864]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,10,11,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,7,8,9,12,13],[3,4,5,7,8,11],[3,4,6,8,12,13],[3,4,9,10,11,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[1864]:=Group([(1,9)(2,12)(3,7)(4,5)(8,11)]);
# Design 1865: autom. group order 2, simple
B[1865]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,7,9,12,13],[1,5,7,8,9,10],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,7,8,9,11,12],[3,4,5,7,8,11],[3,4,6,9,10,12],[3,4,8,10,11,12],[3,5,6,9,11,13],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[1865]:=Group([(2,13)(3,12)(6,11)(8,9)]);
# Design 1866: autom. group order 2, simple
B[1866]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,10,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,7,8,9,12,13],[3,4,5,7,8,11],[3,4,6,11,12,13],[3,4,8,9,10,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[1866]:=Group([(1,9)(2,12)(3,7)(4,5)(8,11)]);
# Design 1867: autom. group order 2, simple
B[1867]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,6,7,10,11],[1,4,7,10,11,12],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,5,7,11,13],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,9,10,12],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1867]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1868: autom. group order 2, simple
B[1868]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,9],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,6,7,11,13],[1,4,7,10,11,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,5,7,10,11],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,9,12,13],[3,6,7,9,10,13],[4,5,6,8,9,11]];
G[1868]:=Group([(1,9)(2,11)(3,8)(7,12)(10,13)]);
# Design 1869: autom. group order 2, simple
B[1869]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,7,9,10,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,8,11],[2,5,6,10,12,13],[2,8,9,10,11,12],[3,4,5,8,9,10],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,6,7,9,13]];
G[1869]:=Group([(1,12)(3,13)(4,5)(6,8)(7,10)]);
# Design 1870: autom. group order 2, simple
B[1870]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,8,9,12],[1,4,6,7,10,12],[1,4,9,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,8,10,12,13],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,6,8,9,12],[2,7,8,9,10,11],[3,4,5,7,8,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,9,11,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[1870]:=Group([(1,5)(2,13)(3,7)(4,8)(6,11)]);
# Design 1871: autom. group order 2, simple
B[1871]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,4,5,8,9,12],[1,4,6,7,10,12],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,6,8,11,13],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,7,8,9,10,11],[3,4,5,7,8,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,9,11,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[1871]:=Group([(1,5)(2,13)(3,7)(4,8)(6,11)]);
# Design 1872: autom. group order 2, simple
B[1872]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,8,11,12],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,10,11,13]];
G[1872]:=Group([(1,9)(3,10)(4,12)(8,13)]);
# Design 1873: autom. group order 2, simple, derived
B[1873]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,8,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,9,10,12],[4,5,6,8,9,11]];
G[1873]:=Group([(1,12)(3,13)(4,9)]);
# Design 1874: autom. group order 2, simple, derived
B[1874]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,8,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[3,6,7,9,10,12],[4,5,6,8,11,13]];
G[1874]:=Group([(1,12)(3,13)(4,9)]);
# Design 1875: autom. group order 2, simple
B[1875]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,6,8,10,11]];
G[1875]:=Group([(1,9)(3,10)(4,12)(8,13)]);
# Design 1876: autom. group order 2, simple
B[1876]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,6,7,9,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,9,10,11]];
G[1876]:=Group([(1,12)(3,13)(4,9)(7,8)]);
# Design 1877: autom. group order 2, simple
B[1877]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,4,5,8,9,12],[1,4,6,7,10,12],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,8,10,11,13],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,11,12],[3,4,5,8,11,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,10,11,12],[3,6,8,9,10,12],[4,5,6,8,9,11]];
G[1877]:=Group([(1,8)(3,7)(5,12)(6,13)(10,11)]);
# Design 1878: autom. group order 2, simple
B[1878]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,4,8,9,12,13],[2,5,6,8,9,10],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,5,7,8,11,13],[3,6,7,9,10,13],[4,5,6,7,9,12]];
G[1878]:=Group([(1,13)(2,7)(4,10)(5,9)(8,12)]);
# Design 1879: autom. group order 2, simple
B[1879]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,13],[1,4,5,9,11,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,8,10,11,13],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,9,12,13],[2,4,7,8,9,13],[2,5,6,7,9,10],[2,5,6,8,10,13],[2,8,9,10,11,12],[3,4,5,8,10,11],[3,4,6,7,10,12],[3,4,9,10,12,13],[3,5,6,9,11,12],[3,5,7,8,12,13],[3,6,7,8,9,11],[4,5,6,7,11,13]];
G[1879]:=Group([(1,13)(2,4)(3,9)(5,12)]);
# Design 1880: autom. group order 2, simple
B[1880]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,6,8,9,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,7,9,11,12],[1,6,8,10,11,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,9,10,11]];
G[1880]:=Group([(1,12)(3,13)(4,9)(7,8)]);
# Design 1881: autom. group order 2, simple
B[1881]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,9,10,11],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,4,7,9,10,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,8,10,13],[2,4,5,8,9,11],[2,4,6,8,10,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,9,10,13],[2,8,9,10,11,12],[3,4,5,7,10,12],[3,4,6,8,9,12],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11]];
G[1881]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)]);
# Design 1882: autom. group order 2, simple
B[1882]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,4,7,8,9,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,7,8,10,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,8,9,10,11,12],[3,4,5,7,10,12],[3,4,6,9,12,13],[3,4,8,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[3,6,7,9,10,13],[4,5,6,7,8,11]];
G[1882]:=Group([(1,7)(2,12)(3,5)(4,9)(6,11)]);
# Design 1883: autom. group order 2, simple, derived
B[1883]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,10,11,12],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,7,8,10,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,6,9,12,13],[2,7,9,10,11,12],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,9,10,13],[3,6,8,9,10,12],[4,5,6,7,10,11]];
G[1883]:=Group([(2,13)(3,12)(5,7)(6,10)(8,9)]);
# Design 1884: autom. group order 2, simple
B[1884]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,7,10,11,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,9,11,12],[4,5,6,8,9,11]];
G[1884]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 1885: autom. group order 2, simple, derived
B[1885]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,12],[4,5,6,8,9,11]];
G[1885]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 1886: autom. group order 2, simple
B[1886]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,7,10,11,12],[1,5,8,10,11,13],[1,6,7,9,11,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,12],[4,5,6,8,9,11]];
G[1886]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 1887: autom. group order 2, simple, derived
B[1887]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,7,8,9,10,12],[3,4,5,7,10,11],[3,4,6,7,9,12],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[3,6,8,9,10,11],[4,5,6,8,9,13]];
G[1887]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1888: autom. group order 2, simple, derived
B[1888]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,7,8,9,10,12],[3,4,5,7,9,11],[3,4,6,7,10,12],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[3,6,8,9,10,11],[4,5,6,8,9,13]];
G[1888]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 1889: autom. group order 2, simple
B[1889]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,10,11,12],[1,4,8,10,11,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,7,10,11],[2,4,6,8,9,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,6,11,12,13],[2,7,8,9,10,12],[3,4,5,8,12,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,10,11],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1889]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1890: autom. group order 2, simple
B[1890]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,5,8,10,12],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,13],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1890]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1891: autom. group order 2, simple
B[1891]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,6,9,11,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,13],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1891]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1892: autom. group order 2, simple
B[1892]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,6,11,12,13],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,13],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1892]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1893: autom. group order 2, simple
B[1893]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,7,10,11],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,6,11,12,13],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,10,11],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1893]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1894: autom. group order 2, simple
B[1894]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,7,11,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,13],[3,6,9,10,11,13],[4,5,6,7,9,12]];
G[1894]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1895: autom. group order 2, simple
B[1895]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,7,8,10,11],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,9,10,12,13],[3,4,5,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,5,8,11,12,13],[3,6,8,9,10,11],[4,5,6,7,8,11]];
G[1895]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 1896: autom. group order 2, simple
B[1896]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,13],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1896]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1897: autom. group order 2, simple
B[1897]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,9,10,11],[2,4,6,7,8,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,6,11,12,13],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,13],[3,6,8,9,10,13],[4,5,6,7,9,12]];
G[1897]:=Group([(1,9)(2,12)(3,7)(8,11)(10,13)]);
# Design 1898: autom. group order 2, simple
B[1898]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,5,7,10,11,12],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,6,9,10,13],[2,8,9,11,12,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,8,9,11]];
G[1898]:=Group([(1,9)(2,11)(3,8)(4,5)]);
# Design 1899: autom. group order 2, simple
B[1899]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,8,12],[2,4,6,7,10,11],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,9,13],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[3,6,7,8,9,11],[4,5,6,8,9,11]];
G[1899]:=Group([(2,11)(3,13)(6,12)(7,9)]);
# Design 1900: autom. group order 2, simple, derived
B[1900]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,10,11,12],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,10,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,8,10,13],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,7,9,11,13],[3,6,7,10,11,12],[4,5,6,8,9,11]];
G[1900]:=Group([(1,13)(3,12)(4,9)(7,10)]);
# Design 1901: autom. group order 2, simple, derived
B[1901]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,7,9,11,12],[1,5,7,10,11,13],[1,6,7,8,10,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[3,6,7,10,11,12],[4,5,6,8,9,11]];
G[1901]:=Group([(1,13)(3,12)(4,9)(7,10)]);
# Design 1902: autom. group order 2, simple
B[1902]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,5,7,10,11,12],[1,6,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,6,9,10,13],[2,8,9,11,12,13],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,7,9,10,13],[3,5,6,10,11,12],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,8,9,11]];
G[1902]:=Group([(1,9)(2,11)(3,8)(4,5)]);
# Design 1903: autom. group order 2, simple
B[1903]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,9,10],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,8,12],[2,4,6,9,10,11],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,9,13],[3,4,6,7,10,13],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[3,6,7,8,9,11],[4,5,6,8,9,11]];
G[1903]:=Group([(2,11)(3,13)(6,12)(7,9)]);
# Design 1904: autom. group order 2, simple
B[1904]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,12,13],[1,4,5,7,9,12],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[1904]:=Group([(1,12)(3,13)(4,9)(8,10)]);
# Design 1905: autom. group order 2, simple
B[1905]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,4,5,7,10,13],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,7,8,11,13],[2,4,5,10,11,12],[2,4,6,8,9,13],[2,4,7,8,10,12],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,7,9,10,12,13],[3,4,5,9,12,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,10],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,9,11]];
G[1905]:=Group([(1,12)(2,13)(4,5)(6,9)(7,11)]);
# Design 1906: autom. group order 2, simple, derived
B[1906]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,12,13],[1,4,5,7,9,12],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,7,8,10,13],[3,6,8,9,11,12],[4,5,6,7,10,11]];
G[1906]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 1907: autom. group order 2, simple
B[1907]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,12,13],[1,4,5,7,9,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,8,9,10,13],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[1907]:=Group([(1,12)(3,13)(4,9)(8,10)]);
# Design 1908: autom. group order 2, simple
B[1908]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,11,12],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,8,10,12,13],[2,4,5,8,9,12],[2,4,6,7,10,13],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,7,8,9,11,12],[3,4,5,8,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,7,9,10,11],[3,6,8,9,10,13],[4,5,6,10,11,12]];
G[1908]:=Group([(1,9)(2,10)(4,7)(6,11)(8,12)]);
# Design 1909: autom. group order 2, simple
B[1909]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,11,12],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,8,10,12,13],[2,4,5,8,9,12],[2,4,6,7,10,13],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,7,8,9,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,6,8,9,10,13],[4,5,6,10,11,12]];
G[1909]:=Group([(1,9)(2,10)(4,7)(6,11)(8,12)]);
# Design 1910: autom. group order 2, simple, derived
B[1910]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,11,12,13],[1,3,6,7,11,13],[1,4,5,8,10,11],[1,4,6,7,8,12],[1,4,9,10,11,13],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,8,10,13],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,7,8,9,11,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1910]:=Group([(1,11)(2,12)(4,10)(5,8)]);
# Design 1911: autom. group order 2, simple, derived
B[1911]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,5,7,10,12,13],[1,6,8,9,11,12],[2,3,7,8,11,13],[2,4,5,7,12,13],[2,4,6,9,12,13],[2,4,8,10,11,12],[2,5,6,7,8,9],[2,5,6,8,10,12],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,6,8,11,13],[3,5,8,9,10,13],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[1911]:=Group([(1,13)(2,8)(4,11)]);
# Design 1912: autom. group order 2, simple, derived
B[1912]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,9,13],[1,4,5,8,9,11],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,7,11,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,7,10,11],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,7,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,13],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[3,6,8,9,10,11],[4,5,6,9,12,13]];
G[1912]:=Group([(1,9)(2,10)(4,11)(6,7)]);
# Design 1913: autom. group order 2, simple, derived
B[1913]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,9,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,7,8,9,13],[2,4,5,7,10,13],[2,4,6,8,10,11],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,7,9,10,11,12],[3,4,5,7,11,12],[3,4,6,8,9,12],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,8,9,10,12],[3,6,7,9,10,13],[4,5,6,7,9,11]];
G[1913]:=Group([(2,8)(3,7)(5,12)(6,10)(9,13)]);
# Design 1914: autom. group order 2, simple
B[1914]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,9,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,8,10,13],[2,3,7,8,10,11],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,6,8,9,13],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,6,8,9,11],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,9,10,11],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1914]:=Group([(1,13)(2,12)(4,5)(6,7)(8,10)]);
# Design 1915: autom. group order 2, simple
B[1915]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,9,13],[1,4,5,8,11,12],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,13],[2,3,7,8,10,11],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,6,8,9,13],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[3,6,8,10,11,12],[4,5,6,7,9,11]];
G[1915]:=Group([(1,13)(2,12)(4,5)(6,7)(8,10)]);
# Design 1916: autom. group order 2, simple, derived
B[1916]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,6,7,12,13],[1,4,5,9,11,12],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,4,7,9,11,12],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,10,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[3,6,8,9,11,12],[4,5,6,7,10,11]];
G[1916]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 1917: autom. group order 2, simple
B[1917]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,9,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,7,11,13],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,6,8,10,12],[2,7,9,10,11,12],[3,4,5,7,11,12],[3,4,6,8,9,12],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,9,12,13],[3,6,7,9,10,13],[4,5,6,10,11,12]];
G[1917]:=Group([(2,8)(3,7)(5,12)(6,10)(9,13)]);
# Design 1918: autom. group order 2, simple, derived
B[1918]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,9,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,10,11],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,7,9,10,11,12],[3,4,5,7,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,8,9,10,12],[3,6,7,9,10,13],[4,5,6,10,11,12]];
G[1918]:=Group([(2,8)(3,7)(5,12)(6,10)(9,13)]);
# Design 1919: autom. group order 2, simple, derived
B[1919]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[2,3,8,10,11,12],[2,4,5,7,9,10],[2,4,6,8,10,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,7,11,13],[2,7,9,10,11,13],[3,4,5,7,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,8,9,13],[3,5,8,10,11,13],[3,6,7,9,10,12],[4,5,6,10,11,12]];
G[1919]:=Group([(2,8)(3,7)(5,11)(6,10)]);
# Design 1920: autom. group order 2, simple
B[1920]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[2,3,8,10,11,13],[2,4,5,7,9,10],[2,4,6,8,10,12],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,6,7,11,12],[2,7,9,10,11,13],[3,4,5,7,11,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,8,9,13],[3,5,8,10,11,12],[3,6,7,9,10,12],[4,5,6,10,11,13]];
G[1920]:=Group([(2,8)(3,7)(5,11)(6,10)]);
# Design 1921: autom. group order 2, simple
B[1921]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,6,8,9,10],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,6,7,11,12],[2,7,9,10,11,13],[3,4,5,7,9,11],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,5,6,8,9,13],[3,5,8,10,11,12],[3,6,7,9,10,12],[4,5,6,10,11,13]];
G[1921]:=Group([(2,8)(3,7)(5,11)(6,10)]);
# Design 1922: autom. group order 2, simple
B[1922]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,11,13],[1,4,5,6,10,12],[1,4,6,7,12,13],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,9,10,13],[2,3,9,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,10],[2,4,10,11,12,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,8,9,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,7,9,10,11]];
G[1922]:=Group([(1,11)(3,13)(4,5)(6,7)(9,12)]);
# Design 1923: autom. group order 2, simple, derived
B[1923]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,11,13],[1,4,5,6,10,11],[1,4,6,7,9,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,8,11,12],[2,4,6,10,12,13],[2,4,7,8,10,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,6,11,12,13],[3,4,7,9,11,12],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,6,8,9,10,11],[4,5,7,9,10,11]];
G[1923]:=Group([(1,13)(3,10)(5,12)]);
# Design 1924: autom. group order 2, simple, derived
B[1924]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,11,12,13],[1,4,5,6,10,11],[1,4,6,7,9,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,8,11,12],[2,4,6,10,12,13],[2,4,7,8,10,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,6,7,10,12],[3,6,8,9,10,11],[4,5,7,9,11,12]];
G[1924]:=Group([(1,13)(3,10)(5,12)]);
# Design 1925: autom. group order 2, simple, derived
B[1925]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,8,9,13],[1,5,7,8,11,12],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,8,9,11],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[1925]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1926: autom. group order 2, simple, derived
B[1926]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,6,8,10,11],[1,4,7,8,9,13],[1,5,7,8,11,12],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,8,9,11],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[1926]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1927: autom. group order 2, simple
B[1927]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,8,10],[1,4,6,11,12,13],[1,4,7,8,9,13],[1,5,7,8,11,12],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[1927]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1928: autom. group order 2, simple, derived
B[1928]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,11,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,7,11,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,8,9,11],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[1928]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1929: autom. group order 2, simple, derived
B[1929]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,6,8,10,11],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,7,11,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,10],[3,5,6,8,9,11],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[1929]:=Group([(1,13)(3,8)(4,12)(7,10)]);
# Design 1930: autom. group order 2, simple
B[1930]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,12,13],[1,4,5,6,11,13],[1,4,6,9,10,12],[1,4,7,8,10,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,8,9,12],[2,4,6,8,10,13],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,6,8,11,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,10,12],[3,6,7,8,9,13],[4,5,7,9,11,12]];
G[1930]:=Group([(1,9)(2,13)(4,7)(5,8)(10,12)]);
# Design 1931: autom. group order 2, simple
B[1931]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,12,13],[1,4,5,6,11,13],[1,4,6,9,10,12],[1,4,7,8,10,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,10,11,12,13],[2,4,5,8,9,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,6,8,10,12],[3,6,7,8,9,13],[4,5,7,9,11,12]];
G[1931]:=Group([(1,9)(2,13)(4,7)(5,8)(10,12)]);
# Design 1932: autom. group order 2, simple, derived
B[1932]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,8,9,10,11],[1,5,8,10,12,13],[1,6,7,8,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,7,8,11],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[1932]:=Group([(2,13)(3,12)(8,9)]);
# Design 1933: autom. group order 2, simple, derived
B[1933]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,8,9,10,11],[1,5,8,10,12,13],[1,6,7,8,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,7,8,11],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,9,11,13],[3,6,7,8,10,13],[4,5,7,9,11,12]];
G[1933]:=Group([(2,13)(3,12)(8,9)]);
# Design 1934: autom. group order 2, simple, derived
B[1934]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,11,12],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,9,11,13],[2,4,9,10,11,12],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,6,7,9,10,13],[4,5,7,8,11,12]];
G[1934]:=Group([(2,13)(3,12)(8,10)]);
# Design 1935: autom. group order 2, simple, derived
B[1935]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,11,12],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,9,11,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[3,6,7,8,9,13],[4,5,7,8,11,12]];
G[1935]:=Group([(2,13)(3,12)(8,10)]);
# Design 1936: autom. group order 2, simple, derived
B[1936]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,11,12],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,9,11,13],[2,4,8,9,11,12],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,6,7,8,9,13],[4,5,7,8,11,12]];
G[1936]:=Group([(2,13)(3,12)(8,10)]);
# Design 1937: autom. group order 2, simple, derived
B[1937]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,6,8,13],[1,4,6,10,11,12],[1,4,9,10,12,13],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,11,12],[2,4,7,9,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,9,11,12],[3,6,7,8,11,13],[4,5,7,8,9,12]];
G[1937]:=Group([(1,11)(2,13)(5,7)(6,10)(8,9)]);
# Design 1938: autom. group order 2, simple, derived
B[1938]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,6,8,13],[1,4,6,10,11,12],[1,4,8,9,11,12],[1,5,7,9,10,13],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,7,8,11],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,9,11,12],[3,6,7,8,11,13],[4,5,7,8,9,12]];
G[1938]:=Group([(1,11)(2,13)(5,7)(6,10)(8,9)]);
# Design 1939: autom. group order 2, simple, derived
B[1939]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,12],[1,4,5,6,12,13],[1,4,6,9,10,11],[1,4,8,9,11,12],[1,5,7,10,12,13],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,8,9,12,13],[2,4,5,7,9,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,11,12],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,8,11,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,6,9,11,12],[3,6,7,9,11,13],[4,5,7,8,9,12]];
G[1939]:=Group([(1,11)(2,13)(5,7)(6,10)]);
# Design 1940: autom. group order 2, simple
B[1940]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,6,10,12],[1,4,6,9,12,13],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,10,13],[2,3,8,9,10,13],[2,4,5,7,9,13],[2,4,6,8,10,11],[2,4,7,8,10,12],[2,5,6,8,12,13],[2,5,7,11,12,13],[2,6,9,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,13],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,7,9,10,11]];
G[1940]:=Group([(1,4)(2,13)(3,9)(5,12)(7,11)]);
# Design 1941: autom. group order 2, simple
B[1941]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,6,10,12],[1,4,6,9,12,13],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[2,3,8,9,10,13],[2,4,5,7,9,13],[2,4,6,8,10,11],[2,4,8,10,11,12],[2,5,6,8,12,13],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,6,7,11,13],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,10,11,13],[3,6,7,8,9,12],[4,5,7,9,10,11]];
G[1941]:=Group([(1,4)(2,13)(3,9)(5,12)(7,11)]);
# Design 1942: autom. group order 2, simple
B[1942]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,7,12],[1,4,6,8,10,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,6,8,11,12],[3,6,7,9,12,13],[4,5,7,10,11,12]];
G[1942]:=Group([(1,9)(2,11)(3,4)(5,13)]);
# Design 1943: autom. group order 2, simple
B[1943]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,7,8,10,13],[2,4,5,7,11,12],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,10,11,12],[2,5,7,8,9,13],[2,6,8,10,12,13],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,7,8,10,11]];
G[1943]:=Group([(1,11)(3,12)(4,5)(6,7)(8,10)]);
# Design 1944: autom. group order 2, simple
B[1944]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,8,10,13],[2,4,5,7,11,12],[2,4,6,8,9,13],[2,4,8,9,11,12],[2,5,6,10,11,12],[2,5,7,9,10,13],[2,6,8,10,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,8,9,11],[4,5,7,8,10,11]];
G[1944]:=Group([(1,11)(3,12)(4,5)(6,7)(8,10)]);
# Design 1945: autom. group order 2, simple
B[1945]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,6,8,11,12],[3,6,8,9,10,13],[4,5,7,10,11,12]];
G[1945]:=Group([(1,9)(2,11)(3,4)(5,13)]);
# Design 1946: autom. group order 2, simple
B[1946]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,5,7,9,10,12],[1,6,8,9,10,13],[2,3,7,8,10,13],[2,4,5,9,12,13],[2,4,6,7,8,9],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,8,9,12],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,7,10,13],[3,6,8,9,11,12],[4,5,7,8,11,13]];
G[1946]:=Group([(2,10)(3,9)(4,7)(6,12)(8,11)]);
# Design 1947: autom. group order 2, simple
B[1947]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,8,9,12],[3,4,7,8,11,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,9,10,11,13],[4,5,7,9,10,11]];
G[1947]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1948: autom. group order 2, simple, derived
B[1948]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,7,9,12],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,6,8,9,10,13],[4,5,7,9,10,11]];
G[1948]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1949: autom. group order 2, simple, derived
B[1949]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,7,9,12],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,6,8,9,10,13],[4,5,7,8,9,11]];
G[1949]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1950: autom. group order 2, simple
B[1950]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,9,10,11,12],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[1950]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1951: autom. group order 2, simple
B[1951]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,6,8,9],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,6,8,9,12,13],[4,5,7,8,10,11]];
G[1951]:=Group([(1,11)(2,12)(4,5)(6,7)(9,10)]);
# Design 1952: autom. group order 2, simple
B[1952]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,6,8,9],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,4,8,10,11,13],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,11]];
G[1952]:=Group([(1,11)(2,12)(4,5)(6,7)(8,10)]);
# Design 1953: autom. group order 2, simple
B[1953]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,11,12],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,10,12,13],[3,4,5,7,12,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,6,9,11,13],[3,6,7,8,9,11],[4,5,8,9,10,11]];
G[1953]:=Group([(1,11)(3,12)(4,5)(6,9)(8,10)]);
# Design 1954: autom. group order 2, simple
B[1954]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,11,12],[2,4,7,8,9,13],[2,5,6,7,10,13],[2,5,7,10,11,12],[2,6,8,10,12,13],[3,4,5,7,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,6,7,8,9,11],[4,5,8,9,10,11]];
G[1954]:=Group([(1,11)(3,12)(4,5)(6,9)(8,10)]);
# Design 1955: autom. group order 2, simple, derived
B[1955]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,6,8,11],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,5,6,7,8,10],[3,5,6,7,12,13],[3,6,8,9,11,13],[4,5,8,9,10,11]];
G[1955]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 1956: autom. group order 2, simple, derived
B[1956]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,6,8,13],[1,4,6,8,11,12],[1,4,7,10,11,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,7,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,10],[3,5,6,7,12,13],[3,6,8,9,11,13],[4,5,8,9,10,11]];
G[1956]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 1957: autom. group order 2, simple
B[1957]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,6,8,9],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,4,5,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,12],[2,5,6,8,10,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,11]];
G[1957]:=Group([(1,11)(2,12)(4,5)(6,7)(8,10)]);
# Design 1958: autom. group order 2, simple, derived
B[1958]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,6,10,13],[1,4,6,7,8,12],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,9,10,12],[1,6,8,9,11,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,8,10,12,13],[4,5,7,9,11,13]];
G[1958]:=Group([(1,11)(2,12)(6,9)(7,10)]);
# Design 1959: autom. group order 2, simple
B[1959]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,13],[1,4,5,6,8,13],[1,4,6,7,10,11],[1,4,7,10,11,12],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,9,11,13],[2,4,7,8,9,12],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,10,13],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,6,8,10,11,12],[4,5,9,10,11,13]];
G[1959]:=Group([(1,7)(3,8)(5,9)(6,12)(10,11)]);
# Design 1960: autom. group order 2, simple
B[1960]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,13],[1,4,5,6,8,13],[1,4,6,7,10,11],[1,4,7,10,11,12],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,10,13],[3,4,5,8,10,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,6,8,10,11,12],[4,5,9,10,11,13]];
G[1960]:=Group([(1,7)(3,8)(5,9)(6,12)(10,11)]);
# Design 1961: autom. group order 2, simple, derived
B[1961]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,6,10,13],[1,4,6,7,12,13],[1,4,8,9,10,12],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,7,8,11],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,8,10,12,13],[4,5,7,9,11,13]];
G[1961]:=Group([(1,11)(2,12)(6,9)(7,10)]);
# Design 1962: autom. group order 2, simple
B[1962]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,7,9,12,13],[1,4,5,6,8,12],[1,4,6,7,9,13],[1,4,8,10,11,12],[1,5,7,8,9,11],[1,5,10,11,12,13],[1,6,7,8,10,13],[2,3,7,8,10,12],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,8,9,11,13],[2,5,6,7,10,13],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,7,10,11],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,6,8,12,13],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[1962]:=Group([(1,13)(2,4)(3,9)(5,8)(6,11)(7,12)]);
# Design 1963: autom. group order 2, simple
B[1963]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,6,9,11,13],[1,4,7,8,9,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,8,9,10,13],[2,4,5,7,10,11],[2,4,6,8,10,12],[2,4,8,11,12,13],[2,5,6,7,8,11],[2,5,7,9,12,13],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,6,8,11,13],[3,6,7,10,11,13],[4,5,9,10,11,12]];
G[1963]:=Group([(2,8)(3,7)(5,9)(6,13)(10,11)]);
# Design 1964: autom. group order 2, simple
B[1964]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,9,12,13],[1,4,5,6,12,13],[1,4,6,10,11,12],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,7,8,10,13],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,9,12],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,9,10,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,7,8,13],[3,4,6,7,9,10],[3,5,6,8,11,12],[3,5,7,9,11,12],[3,6,8,9,10,12],[4,5,7,9,11,13]];
G[1964]:=Group([(1,4)(2,10)(3,11)(5,12)(7,9)]);
# Design 1965: autom. group order 2, simple
B[1965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,9,12,13],[1,4,5,6,12,13],[1,4,6,10,11,12],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[2,3,8,10,11,13],[2,4,5,7,8,12],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,7,9,10],[3,4,6,8,9,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[3,6,7,8,10,12],[4,5,7,9,11,13]];
G[1965]:=Group([(1,4)(2,10)(3,11)(5,12)(7,9)]);
# Design 1966: autom. group order 2, simple
B[1966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,6,8,12],[1,4,6,9,10,13],[1,4,8,10,11,13],[1,5,7,11,12,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[2,3,8,9,10,11],[2,4,5,7,9,13],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,8,9,12],[4,5,7,8,9,11]];
G[1966]:=Group([(1,13)(2,5)(3,7)(4,10)]);
# Design 1967: autom. group order 2, simple
B[1967]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,7,8,10,13],[2,4,5,7,11,12],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,8,10,12,13],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,7,8,10,11]];
G[1967]:=Group([(1,11)(3,12)(4,5)(6,7)(8,10)]);
# Design 1968: autom. group order 2, simple
B[1968]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,9,10,11,12],[1,5,7,8,11,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,4,5,7,11,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,6,10,12,13],[2,6,8,9,11,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,5,6,7,11,12],[3,5,7,9,10,11],[3,6,7,8,10,12],[4,5,7,8,9,13]];
G[1968]:=Group([(1,7)(2,11)(3,5)(4,12)]);
# Design 1969: autom. group order 2, simple
B[1969]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,8,10,13],[2,4,5,7,11,12],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,8,10,12,13],[3,4,5,9,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[3,6,7,8,9,11],[4,5,7,8,10,11]];
G[1969]:=Group([(1,11)(3,12)(4,5)(6,7)(8,10)]);
# Design 1970: autom. group order 2, simple, derived
B[1970]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,7,8,11,12],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,6,8,9,10,12],[3,4,5,7,9,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,5,6,7,8,12],[3,5,8,9,11,13],[3,6,7,10,11,13],[4,5,7,9,10,11]];
G[1970]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1971: autom. group order 2, simple
B[1971]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,7,8,11,12],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,9,10,11,12],[3,4,5,7,9,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[3,6,7,8,10,13],[4,5,7,9,10,11]];
G[1971]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1972: autom. group order 2, simple
B[1972]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,7,10,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,10,12],[2,6,8,9,11,12],[3,4,5,7,9,12],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,5,6,7,11,12],[3,5,9,10,11,13],[3,6,7,8,10,13],[4,5,7,8,9,11]];
G[1972]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1973: autom. group order 2, simple, derived
B[1973]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,7,10,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,6,8,9,10,12],[3,4,5,7,9,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,5,6,7,10,12],[3,5,9,10,11,13],[3,6,7,8,11,13],[4,5,7,8,9,11]];
G[1973]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 1974: autom. group order 2, simple, derived
B[1974]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,6,8,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,7,10,11,13],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,7,8,10,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,6,9,10,11],[2,6,7,8,9,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,5,6,7,8,9],[3,5,8,10,11,12],[3,6,8,10,12,13],[4,5,7,9,11,13]];
G[1974]:=Group([(1,11)(2,12)(6,7)(8,9)]);
# Design 1975: autom. group order 2, simple
B[1975]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,6,7,10],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,7,8,9,12],[2,4,7,10,11,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,11]];
G[1975]:=Group([(1,11)(2,12)(4,5)(6,9)(7,8)]);
# Design 1976: autom. group order 2, simple, derived
B[1976]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,6,11,12,13],[1,5,6,7,8,13],[1,5,8,9,10,13],[1,8,9,10,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,6,7,10,12,13],[4,5,7,9,11,13]];
G[1976]:=Group([(1,7)(3,8)(5,12)(6,9)]);
# Design 1977: autom. group order 2, simple, derived
B[1977]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,12,13],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,5,8,9,10,11],[1,8,9,11,12,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[1977]:=Group([(1,7)(3,8)(5,13)(6,9)]);
# Design 1978: autom. group order 2, simple, derived
B[1978]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,12,13],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,5,8,9,11,12],[1,8,9,10,11,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[1978]:=Group([(1,7)(3,8)(5,13)(6,9)]);
# Design 1979: autom. group order 2, simple
B[1979]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,7,9,11],[1,4,6,8,10,12],[1,4,6,9,12,13],[1,5,6,10,11,13],[1,5,7,8,10,13],[1,8,9,10,11,12],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,6,7,9,10,11],[4,5,7,9,12,13]];
G[1979]:=Group([(1,13)(3,11)(5,8)(6,9)(7,10)]);
# Design 1980: autom. group order 2, simple
B[1980]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,7,10,13],[1,4,6,8,9,13],[1,4,6,9,10,11],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[1980]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1981: autom. group order 2, simple, derived
B[1981]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,7,10,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,6,9,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[1981]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1982: autom. group order 2, simple, derived
B[1982]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,7,10,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[1982]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 1983: autom. group order 2, simple
B[1983]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,6,8,11,13],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,7,8,10,12],[4,5,7,9,11,12]];
G[1983]:=Group([(1,9)(3,10)(4,13)(6,7)(8,12)]);
# Design 1984: autom. group order 2, simple, derived
B[1984]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,11],[1,4,5,7,9,13],[1,4,6,8,11,13],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,5,8,9,11,12],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,9,10,11,13],[3,4,5,10,12,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,6,7,8,9,13],[4,5,7,9,11,12]];
G[1984]:=Group([(1,11)(3,13)(4,10)(6,7)(8,9)]);
# Design 1985: autom. group order 2, simple
B[1985]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,6,8,10,11],[1,5,7,8,12,13],[1,8,9,10,11,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,6,7,11,12,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,9,11,12],[3,6,7,8,10,12],[4,5,7,8,9,11]];
G[1985]:=Group([(2,13)(3,12)(4,5)(6,10)(7,8)]);
# Design 1986: autom. group order 2, simple, derived
B[1986]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,7,10,11],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,8,9,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,6,7,12,13],[3,6,7,8,10,11],[4,5,7,10,11,12]];
G[1986]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 1987: autom. group order 2, simple
B[1987]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,12,13],[1,7,9,10,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,10,12,13],[2,4,7,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,7,11,13],[3,6,7,8,10,13],[4,5,7,8,9,12]];
G[1987]:=Group([(2,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 1988: autom. group order 2, simple, derived
B[1988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,7,12,13],[3,6,7,8,9,13],[4,5,7,8,10,11]];
G[1988]:=Group([(2,9)(3,10)(4,13)(6,11)(8,12)]);
# Design 1989: autom. group order 2, simple, derived
B[1989]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,7,9,10,12],[4,5,7,8,9,11]];
G[1989]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 1990: autom. group order 2, simple, derived
B[1990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,10,12],[3,6,7,9,11,12],[4,5,7,8,9,11]];
G[1990]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 1991: autom. group order 2, simple, derived
B[1991]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,6,7,8,9,12],[4,5,7,9,10,11]];
G[1991]:=Group([(2,12)(3,13)(5,7)]);
# Design 1992: autom. group order 2, simple, derived
B[1992]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,6,7,8,9,12],[4,5,7,9,10,11]];
G[1992]:=Group([(2,12)(3,13)(5,7)]);
# Design 1993: autom. group order 2, simple, derived
B[1993]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[1993]:=Group([(2,12)(3,13)(5,7)]);
# Design 1994: autom. group order 2, simple, derived
B[1994]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[1994]:=Group([(2,12)(3,13)(5,7)]);
# Design 1995: autom. group order 2, simple
B[1995]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,10,11,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,9,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,6,7,8,9,13],[4,5,7,9,10,11]];
G[1995]:=Group([(2,12)(3,13)(5,7)(9,10)]);
# Design 1996: autom. group order 2, simple
B[1996]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,6,9,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,6,7,8,10,13],[4,5,7,9,10,11]];
G[1996]:=Group([(2,12)(3,13)(5,7)(9,10)]);
# Design 1997: autom. group order 2, simple
B[1997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,13],[2,4,6,9,11,13],[2,4,8,10,11,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,6,7,8,9,13],[4,5,7,9,10,11]];
G[1997]:=Group([(2,12)(3,13)(5,7)(9,10)]);
# Design 1998: autom. group order 2, simple
B[1998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,13],[2,4,6,9,11,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,6,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,6,7,8,10,13],[4,5,7,9,10,11]];
G[1998]:=Group([(2,12)(3,13)(5,7)(9,10)]);
# Design 1999: autom. group order 2, simple
B[1999]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,9,11,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,6,7,8,9,13],[4,5,7,9,10,11]];
G[1999]:=Group([(2,12)(3,13)(5,7)(9,10)]);
# Design 2000: autom. group order 2, simple
B[2000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,6,9,11,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,6,7,8,10,13],[4,5,7,9,10,11]];
G[2000]:=Group([(2,12)(3,13)(5,7)(9,10)]);
# Design 2001: autom. group order 2, simple, derived
B[2001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,10,11,12],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,7,9,10,12],[4,5,7,8,9,11]];
G[2001]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2002: autom. group order 2, simple, derived
B[2002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,10,11,12],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,8,10,12],[3,6,7,9,11,12],[4,5,7,8,9,11]];
G[2002]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2003: autom. group order 2, simple, derived
B[2003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,10,11,12,13],[2,4,5,8,10,11],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,12,13],[3,5,6,8,9,13],[3,6,7,8,10,11],[4,5,7,10,11,12]];
G[2003]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2004: autom. group order 2, simple, derived
B[2004]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,10,12,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,6,7,9,12,13],[4,5,7,8,9,11]];
G[2004]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2005: autom. group order 2, simple
B[2005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,9,12],[3,5,6,7,10,13],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2005]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2006: autom. group order 2, simple
B[2006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,5,8,10,12],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,7,10,13],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2006]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2007: autom. group order 2, simple
B[2007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2007]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2008: autom. group order 2, simple
B[2008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,5,8,10,12],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2008]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2009: autom. group order 2, simple, derived
B[2009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,12],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2009]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2010: autom. group order 2, simple, derived
B[2010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,6,8,9,12,13],[4,5,7,8,9,11]];
G[2010]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2011: autom. group order 2, simple, derived
B[2011]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,9,10,12,13],[2,3,8,9,12,13],[2,4,5,9,10,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2011]:=Group([(2,12)(3,13)(5,7)]);
# Design 2012: autom. group order 2, simple
B[2012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,12,13],[1,7,9,10,11,13],[2,3,8,9,12,13],[2,4,5,9,11,12],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,6,8,9,11,12],[4,5,7,8,9,12]];
G[2012]:=Group([(2,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 2013: autom. group order 2, simple, derived
B[2013]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,8,9,11,13],[2,4,5,10,11,12],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[3,6,8,10,11,12],[4,5,7,8,9,11]];
G[2013]:=Group([(2,9)(3,10)(4,13)(6,11)(8,12)]);
# Design 2014: autom. group order 2, simple, derived
B[2014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,11,12],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,4,6,8,9,10],[1,5,6,8,11,13],[1,5,9,10,11,12],[1,7,9,10,12,13],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,6,8,10,11,13],[4,5,7,8,9,11]];
G[2014]:=Group([(2,9)(3,10)(4,12)(6,11)(8,13)]);
# Design 2015: autom. group order 2, simple
B[2015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,8,9,11,13],[2,4,5,10,11,12],[2,4,6,9,10,12],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,8,10,11,12],[4,5,7,8,9,11]];
G[2015]:=Group([(2,9)(3,10)(4,13)(6,11)(8,12)]);
# Design 2016: autom. group order 2, simple
B[2016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,11,12],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,4,6,8,9,10],[1,5,6,8,11,13],[1,5,9,10,11,12],[1,7,9,10,12,13],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,6,8,10,11,13],[4,5,7,8,9,11]];
G[2016]:=Group([(2,9)(3,10)(4,12)(6,11)(8,13)]);
# Design 2017: autom. group order 2, simple, derived
B[2017]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,7,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,8,10,12],[3,6,8,9,11,13],[4,5,7,8,9,11]];
G[2017]:=Group([(2,12)(3,13)(5,7)(8,9)]);
# Design 2018: autom. group order 2, simple, derived
B[2018]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,10,13],[2,4,6,9,10,12],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2018]:=Group([(2,13)(3,12)(6,8)(7,10)]);
# Design 2019: autom. group order 2, simple, derived
B[2019]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,10,13],[2,4,6,10,11,12],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2019]:=Group([(2,13)(3,12)(6,8)(7,10)]);
# Design 2020: autom. group order 2, simple, derived
B[2020]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,10,13],[2,4,6,9,10,12],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,11,13],[3,4,7,8,9,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2020]:=Group([(2,13)(3,12)(6,8)(7,10)]);
# Design 2021: autom. group order 2, simple, derived
B[2021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,10,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,7,8,11,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2021]:=Group([(2,13)(3,12)(6,8)(7,10)]);
# Design 2022: autom. group order 2, simple
B[2022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,4,6,9,12,13],[1,5,6,7,10,11],[1,5,7,8,12,13],[1,8,9,10,11,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,11,12,13],[3,4,5,7,11,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,9,11,12],[3,6,7,8,10,12],[4,5,7,8,9,11]];
G[2022]:=Group([(2,13)(3,12)(4,5)(6,10)(7,8)]);
# Design 2023: autom. group order 2, simple, derived
B[2023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,9,12,13],[1,4,5,8,9,12],[1,4,6,8,11,12],[1,4,6,10,11,13],[1,5,6,7,8,10],[1,5,7,10,12,13],[1,8,9,10,11,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,8,9,10,12],[4,5,7,9,11,12]];
G[2023]:=Group([(1,7)(3,8)(5,13)(6,9)(10,12)]);
# Design 2024: autom. group order 2, simple
B[2024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,9,12],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,5,7,10,11,13],[1,8,9,11,12,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,8,9,10,11],[4,5,7,9,10,12]];
G[2024]:=Group([(1,7)(3,8)(5,13)(6,9)]);
# Design 2025: autom. group order 2, simple
B[2025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,9,12],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,5,7,11,12,13],[1,8,9,10,11,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,8,9,11,12],[4,5,7,9,10,12]];
G[2025]:=Group([(1,7)(3,8)(5,13)(6,9)]);
# Design 2026: autom. group order 2, simple, derived
B[2026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,6,10,11,12],[1,5,6,7,9,13],[1,5,9,10,12,13],[1,7,8,10,11,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,6,7,9,11,12],[4,5,7,8,9,12]];
G[2026]:=Group([(1,11)(2,13)(6,10)(8,9)]);
# Design 2027: autom. group order 2, simple
B[2027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,7,9,10,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,6,7,8,10,11],[4,5,7,8,9,12]];
G[2027]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 2028: autom. group order 2, simple, derived
B[2028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,7,9,10,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,8,12,13],[3,5,6,9,11,12],[3,6,7,8,10,11],[4,5,7,8,9,12]];
G[2028]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 2029: autom. group order 2, simple, derived
B[2029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,4,6,9,10,12],[1,5,6,8,11,13],[1,5,7,10,11,13],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2029]:=Group([(1,13)(3,12)(4,9)(6,8)(7,10)]);
# Design 2030: autom. group order 2, simple, derived
B[2030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,9,11],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,5,6,8,12,13],[1,5,7,9,10,13],[1,7,8,10,11,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,9,10,11,12],[2,6,8,9,10,13],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,6,7,9,11,12],[4,5,7,8,9,12]];
G[2030]:=Group([(1,11)(2,13)(6,10)(8,9)]);
# Design 2031: autom. group order 2, simple
B[2031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,8,9,12],[1,4,6,9,11,13],[1,4,6,10,11,12],[1,5,6,8,10,12],[1,5,7,9,10,13],[1,7,8,10,11,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,9,11,13],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,8,9,12],[4,5,7,8,9,11]];
G[2031]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 2032: autom. group order 2, simple
B[2032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,8,9,12],[1,4,6,9,11,13],[1,4,6,10,11,12],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,9,11,13],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,6,7,8,11,12],[4,5,7,8,9,11]];
G[2032]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 2033: autom. group order 2, simple
B[2033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,7,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,11,12,13],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,6,8,9,10,12],[4,5,7,8,9,11]];
G[2033]:=Group([(2,13)(3,12)(4,5)(6,10)(8,9)]);
# Design 2034: autom. group order 2, simple, derived
B[2034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,4,6,9,10,11],[1,5,6,8,11,12],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,7,8,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,12,13],[3,5,6,9,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2034]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2035: autom. group order 2, simple
B[2035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,6,8,9,11],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,7,8,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,12,13],[3,5,6,9,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2035]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2036: autom. group order 2, simple, derived
B[2036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,8,9,11],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,7,8,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,6,10,11,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2036]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2037: autom. group order 2, simple, derived
B[2037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,4,6,10,11,12],[1,5,6,9,12,13],[1,5,7,8,9,12],[1,7,9,10,11,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,7,11,13],[3,4,6,7,9,12],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,8,9,10,13],[4,5,7,8,9,11]];
G[2037]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 2038: autom. group order 2, simple
B[2038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,7,11,13],[1,4,6,7,9,13],[1,4,6,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,7,9,10,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,4,8,10,11,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,6,9,12,13],[3,6,7,10,11,12],[4,5,7,9,10,11]];
G[2038]:=Group([(1,12)(2,13)(4,5)(6,8)(7,9)]);
# Design 2039: autom. group order 2, simple
B[2039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,4,6,9,10,12],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,8,10,11,12,13],[2,3,7,9,10,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,4,7,8,10,12],[2,5,6,8,9,12],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,6,10,12,13],[3,6,7,9,11,12],[4,5,7,9,10,11]];
G[2039]:=Group([(1,12)(2,13)(4,5)(6,8)(7,10)]);
# Design 2040: autom. group order 2, simple
B[2040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,6,7,10,12],[1,5,8,9,10,13],[1,7,8,10,11,13],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,7,8,9,12],[4,5,7,8,9,11]];
G[2040]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 2041: autom. group order 2, simple
B[2041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,7,8,9,10,13],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,6,7,8,11,12],[4,5,7,8,9,11]];
G[2041]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 2042: autom. group order 2, simple, derived
B[2042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,7,9,10,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,6,8,9,13],[3,6,7,10,11,12],[4,5,7,9,11,12]];
G[2042]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2043: autom. group order 2, simple, derived
B[2043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,9,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,6,7,9,12,13],[4,5,8,9,11,12]];
G[2043]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2044: autom. group order 2, simple
B[2044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,6,8,9,13],[3,6,7,10,11,12],[4,5,8,9,11,12]];
G[2044]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2045: autom. group order 2, simple, derived
B[2045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,9,13],[2,4,6,9,11,13],[2,4,7,8,10,11],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,6,7,8,9,13],[4,5,8,9,11,12]];
G[2045]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2046: autom. group order 2, simple
B[2046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,8,9,10,12],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[3,6,7,8,10,11],[4,5,8,9,11,12]];
G[2046]:=Group([(2,9)(3,10)(4,13)(6,11)]);
# Design 2047: autom. group order 2, simple
B[2047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,7,9,11],[1,4,6,8,9,12],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,8,10,11,13],[1,7,9,10,12,13],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,7,12,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,6,7,9,10,11],[4,5,8,9,11,12]];
G[2047]:=Group([(1,8)(3,7)(5,13)(6,9)(10,11)]);
# Design 2048: autom. group order 2, simple, derived
B[2048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,9,11,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,4,5,7,8,10],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,7,9,11,12]];
G[2048]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2049: autom. group order 2, simple, derived
B[2049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,5,7,10,11,12],[1,7,8,9,11,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,6,7,8,10,13],[4,5,7,9,10,11]];
G[2049]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 2050: autom. group order 2, simple
B[2050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,7,8,9,12,13],[2,3,7,10,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,7,12,13],[3,6,8,10,11,12],[4,5,7,9,10,11]];
G[2050]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 2051: autom. group order 2, simple
B[2051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,7,8,9,12,13],[2,3,7,11,12,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,7,10,13],[3,6,8,10,11,12],[4,5,7,9,11,12]];
G[2051]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 2052: autom. group order 2, simple
B[2052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,7,8,9,12,13],[2,3,7,9,10,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,5,8,9,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,6,7,12,13],[3,6,8,9,10,12],[4,5,7,9,10,11]];
G[2052]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 2053: autom. group order 2, simple
B[2053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,7,8,9,12,13],[2,3,7,9,12,13],[2,4,5,8,11,12],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,8,10,11,13],[3,4,5,8,9,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,6,8,9,10,12],[4,5,7,9,11,12]];
G[2053]:=Group([(2,7)(3,8)(5,13)(10,12)]);
# Design 2054: autom. group order 2, simple, derived
B[2054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,7,9,10,12,13],[2,3,7,8,9,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,7,9,12],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,7,10,13],[3,5,6,8,11,13],[3,6,8,9,10,12],[4,5,7,8,9,11]];
G[2054]:=Group([(2,13)(3,12)(5,7)]);
# Design 2055: autom. group order 2, simple
B[2055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,11],[1,4,6,8,11,12],[1,4,6,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,13],[1,7,9,10,11,12],[2,3,7,8,10,12],[2,4,5,7,11,12],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,9,11,12],[3,6,7,8,11,13],[4,5,7,8,9,12]];
G[2055]:=Group([(1,13)(2,11)(5,7)(6,10)(8,9)]);
# Design 2056: autom. group order 2, simple, derived
B[2056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,6,7,10,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,7,8,10,11],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,6,7,9,12,13],[3,4,5,7,9,12],[3,4,6,7,11,13],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,6,8,10,11,12],[4,5,7,8,9,11]];
G[2056]:=Group([(1,13)(3,12)(5,7)(6,10)]);
# Design 2057: autom. group order 2, simple, derived
B[2057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,8,11,13],[1,4,6,9,11,13],[1,4,6,10,12,13],[1,5,6,7,8,12],[1,5,7,10,11,12],[1,7,8,9,10,13],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,4,7,8,11,12],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,8,10,11,13],[4,5,7,9,10,11]];
G[2057]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 2058: autom. group order 2, simple, derived
B[2058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,8,11,12],[1,4,6,10,11,13],[1,5,6,7,10,13],[1,5,7,8,9,13],[1,7,9,10,11,12],[2,3,7,8,10,11],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,9,11,12],[2,5,8,10,11,13],[2,6,7,8,12,13],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,6,8,9,10,12],[4,5,7,8,9,11]];
G[2058]:=Group([(1,13)(3,12)(5,7)(6,10)(8,9)]);
# Design 2059: autom. group order 2, simple, derived
B[2059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,11],[1,4,5,7,9,13],[1,4,6,7,12,13],[1,4,6,8,10,12],[1,5,6,10,11,13],[1,5,7,8,10,11],[1,8,9,10,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,8,10,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[2059]:=Group([(1,11)(3,13)(5,8)(6,9)(7,10)]);
# Design 2060: autom. group order 2, simple, derived
B[2060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,13],[1,4,5,7,10,11],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,8,9,13],[1,5,7,8,11,12],[1,8,9,10,12,13],[2,3,7,8,10,12],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,9,11,13],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,7,9,10,12]];
G[2060]:=Group([(1,11)(3,13)(4,10)(5,7)]);
# Design 2061: autom. group order 2, simple
B[2061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,13],[1,4,5,7,10,11],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,8,9,13],[1,5,7,8,11,12],[1,8,9,10,12,13],[2,3,7,8,10,12],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,4,7,9,11,13],[2,5,6,7,9,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,7,9,10,12]];
G[2061]:=Group([(1,11)(3,13)(4,10)(5,7)]);
# Design 2062: autom. group order 2, simple, derived
B[2062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,7,12,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,7,10,11,13],[1,8,9,10,12,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,10,11,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,6,7,9,11,13],[4,5,7,9,11,12]];
G[2062]:=Group([(2,12)(3,13)(5,8)]);
# Design 2063: autom. group order 2, simple, derived
B[2063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,7,9,12],[1,4,6,7,12,13],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,5,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,6,7,8,11,12],[4,5,7,9,11,13]];
G[2063]:=Group([(1,11)(2,12)(5,8)(6,9)(7,10)]);
# Design 2064: autom. group order 2, simple
B[2064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,7,8,9,11],[1,4,5,7,10,12],[1,4,6,7,11,13],[1,4,6,8,10,12],[1,5,6,9,12,13],[1,5,8,10,11,13],[1,7,8,9,12,13],[2,3,7,10,12,13],[2,4,5,7,9,13],[2,4,6,8,9,13],[2,4,10,11,12,13],[2,5,6,7,8,12],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,11,12],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,9,10,13],[4,5,7,9,10,11]];
G[2064]:=Group([(1,4)(2,12)(3,10)(5,8)]);
# Design 2065: autom. group order 2, simple
B[2065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,13],[1,4,5,7,9,11],[1,4,6,7,10,13],[1,4,6,8,11,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,7,8,10,11,12],[2,3,7,8,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,8,9,11],[4,5,7,9,12,13]];
G[2065]:=Group([(1,13)(3,11)(4,10)(6,7)(8,9)]);
# Design 2066: autom. group order 2, simple
B[2066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,7,9,11],[1,4,6,7,10,13],[1,4,6,8,9,10],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,7,8,9,12,13],[2,3,7,8,10,12],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,9,10,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,6,7,8,9,11],[4,5,7,10,11,12]];
G[2066]:=Group([(1,10)(3,9)(4,13)(6,7)(8,11)]);
# Design 2067: autom. group order 2, simple, derived
B[2067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,7,9,12],[1,4,6,8,10,13],[1,4,6,9,11,13],[1,5,6,7,8,12],[1,5,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,6,7,8,11,12],[4,5,7,9,11,13]];
G[2067]:=Group([(1,11)(2,12)(5,8)(6,9)(7,10)]);
# Design 2068: autom. group order 2, simple, derived
B[2068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,4,5,8,9,10],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,9,10,12,13],[3,5,6,8,9,13],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,7,9,11,12]];
G[2068]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2069: autom. group order 2, simple
B[2069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,11,13],[1,4,5,9,10,13],[1,4,6,7,8,13],[1,4,6,7,10,11],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2069]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2070: autom. group order 2, simple, derived
B[2070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,4,6,7,10,11],[1,5,6,8,11,12],[1,5,8,9,10,13],[1,7,8,9,10,12],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2070]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2071: autom. group order 2, simple
B[2071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,8,10,11,12,13],[2,3,7,9,10,13],[2,4,5,10,11,12],[2,4,6,7,11,13],[2,4,7,8,9,12],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,8,9,10,13],[3,4,5,8,12,13],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,6,7,9,11,12],[4,5,7,9,10,11]];
G[2071]:=Group([(1,12)(2,13)(4,5)(6,8)(9,10)]);
# Design 2072: autom. group order 2, simple
B[2072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,7,11,12],[1,4,6,8,10,13],[1,5,6,7,9,13],[1,5,7,8,11,13],[1,8,9,10,11,12],[2,3,7,10,12,13],[2,4,5,8,11,12],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,7,9,11],[3,4,6,9,11,13],[3,4,8,9,10,13],[3,5,6,8,12,13],[3,5,6,10,11,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2072]:=Group([(1,4)(2,13)(3,10)(5,8)(7,12)]);
# Design 2073: autom. group order 2, simple, derived
B[2073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,7,8,11],[1,5,8,9,10,13],[1,7,8,9,10,12],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,6,10,11,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2073]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2074: autom. group order 2, simple, derived
B[2074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,11],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,7,8,10],[1,5,9,10,11,13],[1,7,8,9,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,5,8,9,13],[3,4,6,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[2074]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 2075: autom. group order 2, simple
B[2075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,10,11],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,7,11,12],[1,4,6,8,10,13],[1,5,6,7,9,13],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,4,5,7,8,11],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,9,11,13],[3,4,8,9,10,13],[3,5,6,7,8,13],[3,5,6,7,10,11],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2075]:=Group([(1,4)(2,13)(3,10)(5,8)(7,12)]);
# Design 2076: autom. group order 2, simple, derived
B[2076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,11,13],[1,4,5,9,10,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,7,8,11],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,9,13],[3,5,6,10,11,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2076]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 2077: autom. group order 2, simple, derived
B[2077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,11,12],[3,6,7,9,10,12],[4,5,9,10,11,12]];
G[2077]:=Group([(2,12)(3,13)(5,7)(8,10)]);
# Design 2078: autom. group order 2, simple, derived
B[2078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,7,10,11,12],[4,5,9,10,11,12]];
G[2078]:=Group([(2,12)(3,13)(5,7)(8,10)]);
# Design 2079: autom. group order 2, simple, derived
B[2079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,6,8,11,12],[3,6,8,9,10,13],[4,5,9,10,11,12]];
G[2079]:=Group([(2,12)(3,13)(5,7)(8,10)]);
# Design 2080: autom. group order 2, simple, derived
B[2080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,4,7,8,9,11],[2,5,6,7,11,12],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,8,10,11,13],[4,5,9,10,11,12]];
G[2080]:=Group([(2,12)(3,13)(5,7)(8,10)]);
# Design 2081: autom. group order 2, simple, derived
B[2081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,9,12,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,5,7,8,10,11],[1,7,8,9,12,13],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,8,10,11,12],[4,5,9,10,11,13]];
G[2081]:=Group([(1,11)(2,12)(5,8)(6,9)]);
# Design 2082: autom. group order 2, simple, derived
B[2082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,9,12,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,4,7,9,10,11],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,9,12,13],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,8,10,11,12],[4,5,9,10,11,13]];
G[2082]:=Group([(1,11)(2,12)(5,8)(6,9)]);
# Design 2083: autom. group order 2, simple, derived
B[2083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,5,7,9,10,12],[1,7,8,9,12,13],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,8,10,11,12],[4,5,9,10,11,13]];
G[2083]:=Group([(1,11)(2,12)(5,8)(6,9)]);
# Design 2084: autom. group order 2, simple, derived
B[2084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,10,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,5,7,9,12,13],[1,7,8,9,10,12],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,11,13],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,8,10,11,12],[4,5,9,10,11,13]];
G[2084]:=Group([(1,11)(2,12)(5,8)(6,9)]);
# Design 2085: autom. group order 2, simple
B[2085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,8,10,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,9,10,12],[3,4,6,10,11,13],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,6,7,8,9,13],[4,5,7,8,10,11]];
G[2085]:=Group([(2,9)(3,10)(4,13)(6,11)(8,12)]);
# Design 2086: autom. group order 2, simple, derived
B[2086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,10,13],[2,4,7,8,9,12],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,6,10,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,11,13],[3,4,6,9,10,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2086]:=Group([(2,13)(3,12)(6,8)(7,10)]);
# Design 2087: autom. group order 2, simple, derived
B[2087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,8,9,10,13],[2,4,5,7,10,13],[2,4,7,8,11,12],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,6,10,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[3,6,7,8,10,12],[4,5,7,9,10,11]];
G[2087]:=Group([(2,13)(3,12)(6,8)(7,10)]);
# Design 2088: autom. group order 2, simple
B[2088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,7,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,10,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,6,7,10,12],[2,6,9,11,12,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,6,7,11,12],[3,5,6,8,9,13],[3,5,7,10,11,12],[3,6,8,9,10,12],[4,5,7,8,9,11]];
G[2088]:=Group([(2,13)(3,12)(4,5)(6,10)(8,9)]);
# Design 2089: autom. group order 2, simple, derived
B[2089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,10,12],[1,4,5,7,10,11],[1,4,6,7,9,13],[1,4,6,10,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,8,9,10,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,8,11,12],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[2089]:=Group([(1,11)(2,13)(6,8)(7,10)]);
# Design 2090: autom. group order 2, simple
B[2090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,10,11],[1,4,5,7,11,13],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,8,9,11,12,13],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,7,9,10,12],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,5,6,7,9,11],[3,5,7,8,12,13],[3,6,7,10,11,12],[4,5,7,8,10,11]];
G[2090]:=Group([(1,12)(2,13)(4,5)(6,9)(7,8)]);
# Design 2091: autom. group order 2, simple, derived
B[2091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,11,12],[1,4,5,7,10,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,10,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,8,9,10,13],[3,4,5,6,11,13],[3,4,7,8,9,10],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,6,9,10,12],[3,6,7,8,11,13],[4,5,7,9,11,12]];
G[2091]:=Group([(1,13)(2,11)(5,6)(7,9)(8,10)]);
# Design 2092: autom. group order 2, simple, derived
B[2092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,9,10,13],[2,3,7,9,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,7,10,11,12],[2,5,6,7,10,11],[2,5,8,10,11,13],[2,6,8,9,12,13],[3,4,5,6,11,13],[3,4,7,8,9,10],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,6,9,10,12],[3,6,7,8,11,13],[4,5,7,9,11,12]];
G[2092]:=Group([(1,13)(2,11)(5,6)(7,10)(8,9)]);
# Design 2093: autom. group order 2, simple, derived
B[2093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,7,9,12,13],[2,4,5,7,10,13],[2,4,6,8,10,12],[2,4,8,9,11,12],[2,5,6,8,9,11],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,5,6,11,13],[3,4,7,8,9,10],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,6,9,10,12],[3,6,7,8,11,13],[4,5,7,9,11,12]];
G[2093]:=Group([(1,13)(2,11)(5,6)(7,10)(8,9)]);
# Design 2094: autom. group order 2, simple, derived
B[2094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,11,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,4,6,10,11,12],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,8,9,10,13],[3,4,5,6,11,13],[3,4,7,8,9,10],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,6,9,10,12],[3,6,7,8,11,13],[4,5,7,9,11,12]];
G[2094]:=Group([(1,13)(2,11)(5,6)(7,9)(8,10)]);
# Design 2095: autom. group order 2, simple
B[2095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,9,10,11],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,7,9,11,13],[1,5,8,10,11,12],[1,6,8,10,12,13],[2,3,8,9,10,12],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,4,10,11,12,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,9,10,11],[3,4,5,6,11,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,9,11,12],[4,5,7,8,9,12]];
G[2095]:=Group([(1,13)(2,5)(3,7)(4,10)(9,12)]);
# Design 2096: autom. group order 2, simple
B[2096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,10,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,7,9,11,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,8,9,10,12],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,10,11,12],[3,4,5,6,9,11],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,9,11,12],[4,5,7,8,9,12]];
G[2096]:=Group([(1,13)(2,5)(3,7)(4,10)(9,12)]);
# Design 2097: autom. group order 2, simple, derived
B[2097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,11,12,13],[1,4,5,7,8,13],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,6,12,13],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,8,9,10],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,7,9,11,12]];
G[2097]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 2098: autom. group order 2, simple, derived
B[2098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,9,11,12,13],[1,4,5,7,8,13],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,6,7,10,11],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,6,12,13],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[3,6,7,8,9,11],[4,5,7,9,11,12]];
G[2098]:=Group([(1,6)(3,13)(4,9)(5,11)]);
# Design 2099: autom. group order 2, simple, derived
B[2099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,12,13],[1,4,5,9,11,12],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,11,12,13],[2,4,6,8,9,10],[2,4,7,8,9,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,6,10,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,8,10,11],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2099]:=Group([(2,13)(3,8)(4,12)(7,10)]);
# Design 2100: autom. group order 2, simple, derived
B[2100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,12,13],[1,4,5,9,11,12],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,11,12,13],[2,4,6,8,10,11],[2,4,7,8,9,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,6,10,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,8,10,11],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[2100]:=Group([(2,13)(3,8)(4,12)(7,10)]);
# Design 2101: autom. group order 2, simple
B[2101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,12,13],[1,4,5,9,11,12],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,8,10,11],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,6,10,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2101]:=Group([(2,13)(3,8)(4,12)(7,10)]);
# Design 2102: autom. group order 2, simple
B[2102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,6,8,12],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,13],[3,6,7,9,11,12],[4,5,7,8,9,11]];
G[2102]:=Group([(1,12)(3,13)(5,7)(6,10)(8,9)]);
# Design 2103: autom. group order 2, simple
B[2103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,7,10,11],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,9,10,11,13],[2,4,5,8,9,12],[2,4,6,9,11,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,6,10,13],[3,4,6,8,11,12],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,8,11,12,13],[3,6,7,9,10,12],[4,5,7,9,11,13]];
G[2103]:=Group([(2,12)(3,13)(5,10)(8,9)]);
# Design 2104: autom. group order 2, simple, derived
B[2104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,7,8,12],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,7,8,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,8,10,11],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,6,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,8,10,11,13],[3,6,7,8,9,10],[4,5,7,9,11,12]];
G[2104]:=Group([(1,11)(2,13)(8,9)]);
# Design 2105: autom. group order 2, simple, derived
B[2105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,11,12],[1,4,5,7,8,12],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,7,8,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,9,10,11],[2,4,8,10,11,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,6,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,8,10,11,13],[3,6,7,8,9,10],[4,5,7,9,11,12]];
G[2105]:=Group([(1,11)(2,13)(8,9)]);
# Design 2106: autom. group order 2, simple, derived
B[2106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,11,12],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,4,8,9,12,13],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,8,9,11],[2,4,9,10,11,12],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,6,11,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,9,10],[4,5,7,8,11,12]];
G[2106]:=Group([(1,11)(2,13)(8,10)]);
# Design 2107: autom. group order 2, simple, derived
B[2107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,11,12],[1,4,5,7,10,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,9,10,11],[2,4,8,9,11,12],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,6,11,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,9,10],[4,5,7,8,11,12]];
G[2107]:=Group([(1,11)(2,13)(8,10)]);
# Design 2108: autom. group order 2, simple, derived
B[2108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,11,12],[1,4,5,7,10,12],[1,4,6,8,9,13],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,8,9,10,11],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,9,10,11],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,6,11,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,9,10],[4,5,7,8,11,12]];
G[2108]:=Group([(1,11)(2,13)(8,10)]);
# Design 2109: autom. group order 2, simple
B[2109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,4,9,10,12,13],[1,5,6,8,9,12],[1,5,8,9,11,12],[1,6,7,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,8,9,10,13],[3,4,5,6,10,12],[3,4,6,9,11,13],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,5,7,8,10,11],[3,6,8,10,11,12],[4,5,7,8,12,13]];
G[2109]:=Group([(1,9)(3,10)(4,7)(6,11)(8,12)]);
# Design 2110: autom. group order 2, simple
B[2110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,12,13],[1,4,5,8,10,11],[1,4,6,7,10,12],[1,4,8,9,10,13],[1,5,6,8,9,12],[1,5,9,11,12,13],[1,6,7,10,11,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,6,11,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,7,9,10,13],[3,6,8,9,10,12],[4,5,7,8,11,12]];
G[2110]:=Group([(1,9)(2,10)(4,7)(6,13)(8,11)]);
# Design 2111: autom. group order 2, simple, derived
B[2111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,5,6,8,13],[3,4,6,10,11,12],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,7,9,10,13],[3,6,7,9,11,13],[4,5,7,8,9,11]];
G[2111]:=Group([(2,13)(3,12)(5,7)(6,10)(8,9)]);
# Design 2112: autom. group order 2, simple, derived
B[2112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,11],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,8,11,12],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,5,6,8,13],[3,4,6,10,11,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,7,8,9,12],[3,6,7,9,11,13],[4,5,7,8,9,11]];
G[2112]:=Group([(2,13)(3,12)(5,7)(6,10)(8,9)]);
# Design 2113: autom. group order 2, simple, derived
B[2113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,10,11,12],[2,4,7,9,11,12],[2,5,6,7,9,13],[2,5,8,9,10,12],[2,6,8,9,11,13],[3,4,5,6,11,13],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[3,6,7,8,10,13],[4,5,7,8,10,11]];
G[2113]:=Group([(2,13)(3,12)(5,7)(6,9)]);
# Design 2114: autom. group order 2, simple, derived
B[2114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,10,12],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,9,10,13],[3,4,5,6,11,13],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,8,9,13],[3,6,8,9,11,12],[4,5,7,8,10,11]];
G[2114]:=Group([(2,13)(3,12)(5,7)(6,9)]);
# Design 2115: autom. group order 2, simple, derived
B[2115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,9,10,13],[3,4,5,6,10,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,8,9,13],[3,6,8,9,11,12],[4,5,7,8,10,11]];
G[2115]:=Group([(2,13)(3,12)(5,7)(6,9)]);
# Design 2116: autom. group order 2, simple
B[2116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,7,9,12,13],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,6,7,9,10],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,9,10,11,12],[2,4,5,8,10,12],[2,4,6,7,9,13],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,8,9,11,13],[2,6,8,9,10,13],[3,4,5,6,11,13],[3,4,6,9,10,11],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,8,10,13],[3,6,7,8,9,12],[4,5,7,9,11,12]];
G[2116]:=Group([(1,7)(2,8)(5,10)(6,11)(9,13)]);
# Design 2117: autom. group order 2, simple
B[2117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,8,9,11,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,7,8,10],[1,5,7,9,11,12],[1,6,8,9,10,11],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,6,8,11],[3,4,6,7,9,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,6,8,10,12,13],[4,5,8,9,11,12]];
G[2117]:=Group([(1,8)(3,7)(5,13)(6,9)(10,11)]);
# Design 2118: autom. group order 2, simple, derived
B[2118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,7,9,13],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[3,7,8,9,11,12],[4,5,7,10,11,13]];
G[2118]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 2119: autom. group order 2, simple, derived
B[2119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,6,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,6,8,12,13],[3,4,6,9,10,12],[3,5,6,7,11,13],[3,5,6,8,9,11],[3,7,8,9,11,12],[4,5,7,10,11,13]];
G[2119]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 2120: autom. group order 2, simple
B[2120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,8,9,11],[1,4,6,9,10,11],[1,4,7,10,12,13],[1,5,6,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,8,11,12],[3,4,6,9,12,13],[3,5,6,7,10,11],[3,5,6,8,10,13],[3,7,9,10,11,12],[4,5,7,8,9,12]];
G[2120]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 2121: autom. group order 2, simple, derived
B[2121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,8,9,11],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,12],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,7,9,10,11,12],[4,5,7,8,12,13]];
G[2121]:=Group([(1,11)(3,13)(4,9)(6,7)]);
# Design 2122: autom. group order 2, simple
B[2122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,10,12,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,8,9,10],[3,5,6,8,11,12],[3,5,6,9,11,13],[3,7,8,9,11,12],[4,5,7,10,11,13]];
G[2122]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 2123: autom. group order 2, simple, derived
B[2123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,9,10,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,6,7,9,13],[3,4,6,8,12,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[3,7,8,9,11,12],[4,5,7,10,11,13]];
G[2123]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 2124: autom. group order 2, simple, derived
B[2124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,6,7,9,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,7,8,10,11,12],[4,5,7,8,9,12]];
G[2124]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 2125: autom. group order 2, simple
B[2125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,7,8,9,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,6,7,9,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,5,6,8,12,13],[3,5,6,9,11,12],[3,7,8,10,11,12],[4,5,7,8,9,12]];
G[2125]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 2126: autom. group order 2, simple, derived
B[2126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,9,10],[1,4,5,11,12,13],[1,4,6,8,11,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,5,6,8,10,13],[3,5,7,8,9,12],[3,5,9,10,11,13],[4,5,6,7,9,12]];
G[2126]:=Group([(1,11)(2,10)(5,12)]);
# Design 2127: autom. group order 2, simple
B[2127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,6,7,11,12,13],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[2127]:=Group([(1,11)(3,10)(5,8)(6,12)(7,13)]);
# Design 2128: autom. group order 2, simple, derived
B[2128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,8,10,13],[1,6,7,8,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,9,10,12],[4,5,7,8,9,11]];
G[2128]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2129: autom. group order 2, simple, derived
B[2129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,8,10,13],[1,6,7,8,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,8,11,12],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,7,8,9,11]];
G[2129]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2130: autom. group order 2, simple, derived
B[2130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,8,10,13],[1,6,7,8,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,8,9,10,12],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,7,8,9,11]];
G[2130]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2131: autom. group order 2, simple
B[2131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,8,10,11],[1,6,7,8,9,13],[1,6,8,9,11,12],[1,7,10,11,12,13],[2,3,7,8,11,12],[2,4,5,9,11,13],[2,4,6,11,12,13],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,5,8,9,10,11],[4,5,7,9,10,12]];
G[2131]:=Group([(1,7)(2,6)(3,9)(4,13)(5,10)]);
# Design 2132: autom. group order 2, simple, derived
B[2132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,8,10,13],[1,6,7,8,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,8,9,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,8,9,10,13],[4,5,7,8,9,11]];
G[2132]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2133: autom. group order 2, simple
B[2133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,7,11,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[1,7,10,11,12,13],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,6,8,11,12],[2,4,8,9,10,11],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,8,9,10,13],[4,5,7,8,9,10]];
G[2133]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2134: autom. group order 2, simple
B[2134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,7,12,13],[1,4,5,8,9,11],[1,4,6,9,11,13],[1,6,7,8,11,13],[1,6,8,10,12,13],[1,7,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,7,10,11,13],[4,5,8,9,10,12]];
G[2134]:=Group([(1,8)(3,7)(5,11)(6,12)(10,13)]);
# Design 2135: autom. group order 2, simple
B[2135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,6,8,9,11],[1,6,7,8,10,13],[1,6,8,11,12,13],[1,7,9,10,11,12],[2,3,7,8,11,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,10,11,12],[4,5,7,9,10,13]];
G[2135]:=Group([(1,13)(3,12)(5,11)(6,7)(8,10)]);
# Design 2136: autom. group order 2, simple, derived
B[2136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,6,7,8,9,13],[1,6,7,9,11,12],[1,7,8,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,5,8,9,11,12],[4,5,7,9,10,12]];
G[2136]:=Group([(1,3)(5,7)(6,8)]);
# Design 2137: autom. group order 2, simple, derived
B[2137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,13],[1,7,8,11,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,6,7,9,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,6,11,12,13],[3,5,8,9,10,13],[4,5,7,9,10,12]];
G[2137]:=Group([(1,3)(5,7)(6,8)]);
# Design 2138: autom. group order 2, simple, derived
B[2138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,6,7,8,9,13],[1,6,7,10,12,13],[1,7,8,9,11,12],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,6,9,11,12],[3,5,8,10,12,13],[4,5,7,9,10,12]];
G[2138]:=Group([(1,3)(5,7)(6,8)]);
# Design 2139: autom. group order 2, simple, derived
B[2139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,7,9,10],[1,4,5,8,11,13],[1,4,8,10,12,13],[1,6,7,8,9,12],[1,6,7,11,12,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,4,5,9,11,12],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,7,9,10,11,13],[3,4,6,7,9,12],[3,4,6,7,10,11],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,9,10,13]];
G[2139]:=Group([(1,7)(3,8)(5,9)(6,13)(11,12)]);
# Design 2140: autom. group order 2, simple
B[2140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,8,10,11,13],[1,6,7,8,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,9,10,12],[2,4,6,11,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,7,8,10,12,13],[3,4,6,7,8,9],[3,4,6,7,11,13],[3,4,8,9,10,12],[3,5,6,8,10,13],[3,5,6,10,11,12],[3,5,7,9,11,12],[4,5,7,9,10,13]];
G[2140]:=Group([(1,4)(2,13)(3,11)(6,9)(7,10)]);
# Design 2141: autom. group order 2, simple
B[2141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,8,10,11,13],[1,6,7,8,9,13],[1,6,7,8,11,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,8,9,10],[2,4,6,11,12,13],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,7,8,10,12,13],[3,4,6,7,9,12],[3,4,6,7,11,13],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,7,9,10,13]];
G[2141]:=Group([(1,4)(2,13)(3,11)(6,9)(7,10)]);
# Design 2142: autom. group order 2, simple
B[2142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,8,10,11,13],[1,6,7,8,9,11],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,9,10,12],[2,4,6,11,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,7,8,10,12,13],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,9,10,11,12],[4,5,7,9,10,13]];
G[2142]:=Group([(1,4)(2,13)(3,11)(6,9)(7,10)]);
# Design 2143: autom. group order 2, simple
B[2143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,8,10,11,13],[1,6,7,8,9,13],[1,6,7,9,11,12],[1,6,8,10,11,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,8,9,10],[2,4,6,11,12,13],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,7,8,10,12,13],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,6,10,12,13],[3,5,8,9,10,11],[4,5,7,9,10,13]];
G[2143]:=Group([(1,4)(2,13)(3,11)(6,9)(7,10)]);
# Design 2144: autom. group order 2, simple, derived
B[2144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,7,11,13],[1,4,5,8,9,11],[1,4,6,8,9,12],[1,6,7,11,12,13],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,9,10,13]];
G[2144]:=Group([(1,10)(3,11)(5,12)(8,13)]);
# Design 2145: autom. group order 2, simple
B[2145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,7,11,13],[1,4,5,8,9,11],[1,4,6,8,9,12],[1,6,7,8,10,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[3,5,8,11,12,13],[4,5,6,9,10,13]];
G[2145]:=Group([(1,10)(3,11)(5,12)(8,13)]);
# Design 2146: autom. group order 2, simple, derived
B[2146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,7,8,11],[1,4,5,9,11,13],[1,4,6,8,9,12],[1,6,7,11,12,13],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,7,8,10],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,9,10,13]];
G[2146]:=Group([(1,10)(3,11)(5,12)(8,13)]);
# Design 2147: autom. group order 2, simple
B[2147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,7,8,11],[1,4,5,9,11,13],[1,4,6,8,9,12],[1,6,7,8,10,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,7,8,9,10],[3,5,8,11,12,13],[4,5,6,9,10,13]];
G[2147]:=Group([(1,10)(3,11)(5,12)(8,13)]);
# Design 2148: autom. group order 2, simple, derived
B[2148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,10,11,13],[2,4,5,7,9,11],[2,4,6,7,10,12],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,9,10,13]];
G[2148]:=Group([(2,10)(3,11)(4,8)(5,7)(6,13)]);
# Design 2149: autom. group order 2, simple, derived
B[2149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,10,11,13],[2,4,5,7,9,11],[2,4,6,8,11,12],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,13],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,9,10,13]];
G[2149]:=Group([(2,10)(3,11)(4,8)(5,7)(6,13)]);
# Design 2150: autom. group order 2, simple, derived
B[2150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,10,11,13],[2,4,5,7,9,11],[2,4,6,8,10,12],[2,4,8,10,12,13],[2,5,6,7,11,12],[2,5,8,9,11,13],[2,6,7,8,9,13],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,4,8,9,11,12],[3,5,6,8,11,12],[3,5,7,8,9,10],[3,5,7,10,12,13],[4,5,6,9,10,13]];
G[2150]:=Group([(2,10)(3,11)(4,8)(5,7)(6,13)]);
# Design 2151: autom. group order 2, simple, derived
B[2151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,10,11,13],[2,4,5,7,9,11],[2,4,6,8,10,12],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,11,12,13],[2,6,7,8,9,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,7,8,9,10],[3,5,8,11,12,13],[4,5,6,9,10,13]];
G[2151]:=Group([(2,10)(3,11)(4,8)(5,7)(6,13)]);
# Design 2152: autom. group order 2, simple, derived
B[2152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,6,7,13],[1,4,5,7,9,10],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,6,7,11,12,13],[1,6,8,9,10,13],[1,7,8,9,11,12],[2,3,6,8,10,12],[2,4,5,9,11,13],[2,4,6,11,12,13],[2,4,7,8,9,12],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,6,7,9,10,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,9,10,12]];
G[2152]:=Group([(1,7)(3,8)(5,9)(6,12)(11,13)]);
# Design 2153: autom. group order 2, simple, derived
B[2153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,7,13],[1,4,5,8,9,13],[1,4,5,8,10,11],[1,4,6,10,11,12],[1,6,7,9,11,13],[1,6,8,10,12,13],[1,7,8,9,11,12],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,9,11,13],[2,4,7,8,9,12],[2,5,6,7,8,11],[2,5,6,9,10,12],[2,6,7,8,10,13],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2153]:=Group([(1,7)(3,8)(5,12)(6,9)(11,13)]);
# Design 2154: autom. group order 2, simple
B[2154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,6,8,12],[1,4,5,7,9,12],[1,4,5,8,10,13],[1,4,6,10,11,13],[1,6,7,10,12,13],[1,6,8,9,11,12],[1,7,8,9,11,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,6,7,8,11],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,9,10],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,11,12,13],[3,5,8,9,10,11],[4,5,8,9,10,12]];
G[2154]:=Group([(1,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 2155: autom. group order 2, simple, derived
B[2155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,9,13],[1,4,5,8,11,13],[1,4,8,9,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,12],[2,6,7,9,11,13],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,7,8,11,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2155]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2156: autom. group order 2, simple, derived
B[2156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,9,13],[1,4,5,8,11,13],[1,4,8,9,10,12],[1,6,7,8,11,12],[1,6,7,11,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[3,5,8,10,12,13],[4,5,6,9,10,11]];
G[2156]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2157: autom. group order 2, simple, derived
B[2157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,8,9,11,13],[1,6,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,13],[2,6,7,9,11,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,7,8,11,12],[3,5,7,9,11,13],[3,5,8,10,12,13],[4,5,6,9,10,11]];
G[2157]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2158: autom. group order 2, simple, derived
B[2158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,13],[1,4,8,9,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,6,7,9,12],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,7,8,11,12],[3,5,7,10,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2158]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2159: autom. group order 2, simple, derived
B[2159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,8,9,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,13],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,9,10,12],[3,5,7,8,10,13],[3,5,7,11,12,13],[3,5,8,9,11,12],[4,5,6,9,10,11]];
G[2159]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2160: autom. group order 2, simple, derived
B[2160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,8,9,10,13],[1,6,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,5,7,8,11,12],[3,5,7,9,10,13],[3,5,8,10,12,13],[4,5,6,9,10,11]];
G[2160]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2161: autom. group order 2, simple, derived
B[2161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,13],[1,4,8,9,11,12],[1,6,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,12],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,9,10,11]];
G[2161]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2162: autom. group order 2, simple, derived
B[2162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,8,9,13],[1,4,5,8,11,12],[1,4,7,9,10,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,7,8,10,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2162]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2163: autom. group order 2, simple, derived
B[2163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,7,9,10,13],[2,6,8,9,11,12],[3,4,6,7,9,13],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,7,8,11,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2163]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2164: autom. group order 2, simple, derived
B[2164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,7,9,10,13],[1,6,7,8,11,12],[1,6,7,11,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,6,7,9,13],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,5,7,8,10,13],[3,5,7,9,11,12],[3,5,8,10,12,13],[4,5,6,9,10,11]];
G[2164]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2165: autom. group order 2, simple, derived
B[2165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,9,13],[1,4,5,8,11,13],[1,4,8,9,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,7,11,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,7,8,11,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2165]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2166: autom. group order 2, simple, derived
B[2166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,8,9,11,13],[1,6,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,11,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,7,8,11,12],[3,5,7,9,11,13],[3,5,8,10,12,13],[4,5,6,9,10,11]];
G[2166]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2167: autom. group order 2, simple, derived
B[2167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,13],[1,4,8,9,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,7,8,11,12],[3,5,7,10,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2167]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2168: autom. group order 2, simple, derived
B[2168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,8,9,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,11,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,9,10,12],[3,5,7,8,10,13],[3,5,7,11,12,13],[3,5,8,9,11,12],[4,5,6,9,10,11]];
G[2168]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2169: autom. group order 2, simple, derived
B[2169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,8,9,10,13],[1,6,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,5,7,8,11,12],[3,5,7,9,10,13],[3,5,8,10,12,13],[4,5,6,9,10,11]];
G[2169]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2170: autom. group order 2, simple, derived
B[2170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,7,11,13],[1,4,5,8,9,13],[1,4,8,9,11,12],[1,6,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,7,11,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,9,10,11]];
G[2170]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2171: autom. group order 2, simple, derived
B[2171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,8,9,13],[1,4,5,8,11,12],[1,4,7,9,10,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,7,8,10,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2171]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2172: autom. group order 2, simple, derived
B[2172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,5,8,9,12],[1,4,5,8,11,13],[1,4,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,10,13],[2,4,6,8,11,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,7,8,11,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,9,10,11]];
G[2172]:=Group([(1,3)(5,6)(7,8)(10,11)(12,13)]);
# Design 2173: autom. group order 2, simple
B[2173]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,10],[1,4,5,8,9,11],[1,4,6,9,12,13],[1,6,7,8,12,13],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,8,10,12,13],[4,5,7,9,11,13]];
G[2173]:=Group([(1,7)(3,8)(5,12)(6,11)]);
# Design 2174: autom. group order 2, simple
B[2174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,8,11],[1,4,5,6,11,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,6,7,10,12,13],[1,6,8,9,10,11],[1,7,8,11,12,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,7,9,11,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,9,11,12,13],[4,5,7,8,9,10]];
G[2174]:=Group([(1,9)(2,8)(3,6)(4,12)]);
# Design 2175: autom. group order 2, simple
B[2175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,8,10],[1,3,5,7,11,12],[1,4,5,6,10,12],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,6,7,8,11,12],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,7,9,11,12]];
G[2175]:=Group([(1,11)(3,10)(5,13)(6,7)(8,12)]);
# Design 2176: autom. group order 2, simple
B[2176]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,8,10,12],[1,4,5,6,7,12],[1,4,5,8,9,13],[1,4,6,9,11,13],[1,6,7,8,11,13],[1,6,8,10,11,12],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,4,5,11,12,13],[2,4,6,10,11,12],[2,4,7,8,10,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,6,7,9,10],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,8,9,10,12]];
G[2176]:=Group([(1,8)(3,7)(5,13)(6,10)(11,12)]);
# Design 2177: autom. group order 2, simple, derived
B[2177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,5,7,11,12],[1,4,6,10,11,13],[1,6,7,8,9,13],[1,6,8,9,11,12],[1,7,8,10,12,13],[2,3,6,8,10,12],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,6,8,11,12],[3,4,7,8,9,10],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,8,9,10,12]];
G[2177]:=Group([(1,3)(5,8)(6,7)]);
# Design 2178: autom. group order 2, simple, derived
B[2178]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,11],[1,4,5,7,10,13],[1,4,6,10,11,12],[1,6,7,8,9,12],[1,6,8,9,10,13],[1,7,8,11,12,13],[2,3,6,8,10,12],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,7,10,11,13],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,11,12,13],[3,5,7,9,10,13],[4,5,8,9,10,12]];
G[2178]:=Group([(1,3)(5,8)(6,7)]);
# Design 2179: autom. group order 2, simple, derived
B[2179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,5,7,11,12],[1,4,6,10,11,13],[1,6,7,8,9,13],[1,6,8,10,12,13],[1,7,8,9,11,12],[2,3,6,8,10,12],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,6,8,11,12],[3,4,7,8,9,10],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,8,9,10,12]];
G[2179]:=Group([(1,3)(5,8)(6,7)]);
# Design 2180: autom. group order 2, simple, derived
B[2180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,11],[1,4,5,7,10,13],[1,4,6,10,11,12],[1,6,7,8,9,12],[1,6,8,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,12],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,7,10,11,13],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,9,10,13],[3,5,7,11,12,13],[4,5,8,9,10,12]];
G[2180]:=Group([(1,3)(5,8)(6,7)]);
# Design 2181: autom. group order 2, simple, derived
B[2181]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,10,13],[1,4,5,7,9,12],[1,4,6,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,6,8,10,12],[2,4,5,8,9,11],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,7,9,12,13],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,6,10,11,12],[3,5,7,9,10,13],[4,5,8,9,10,12]];
G[2181]:=Group([(1,3)(5,8)(6,7)]);
# Design 2182: autom. group order 2, simple, derived
B[2182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,10,13],[1,4,5,7,9,11],[1,4,6,10,11,12],[1,6,7,8,9,12],[1,6,8,9,10,13],[1,7,8,11,12,13],[2,3,6,8,10,12],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,11,12,13],[3,5,7,9,10,13],[4,5,8,9,10,12]];
G[2182]:=Group([(1,3)(5,8)(6,7)]);
# Design 2183: autom. group order 2, simple, derived
B[2183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,10,13],[1,4,5,7,9,12],[1,4,6,11,12,13],[1,6,7,8,9,11],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,10,12],[2,4,5,8,9,11],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,7,9,12,13],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,6,9,10,13],[3,5,7,10,11,12],[4,5,8,9,10,12]];
G[2183]:=Group([(1,3)(5,8)(6,7)]);
# Design 2184: autom. group order 2, simple, derived
B[2184]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,10,13],[1,4,5,7,9,11],[1,4,6,10,11,12],[1,6,7,8,9,12],[1,6,8,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,12],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,9,10,13],[3,5,7,11,12,13],[4,5,8,9,10,12]];
G[2184]:=Group([(1,3)(5,8)(6,7)]);
# Design 2185: autom. group order 2, simple
B[2185]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,7,10,13],[1,4,5,6,7,12],[1,4,5,8,9,13],[1,4,6,8,9,11],[1,6,7,10,11,13],[1,6,8,11,12,13],[1,7,8,9,10,12],[2,3,6,7,8,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,6,9,10,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,7,9,10,13]];
G[2185]:=Group([(1,13)(3,12)(5,8)(6,10)(7,11)]);
# Design 2186: autom. group order 2, simple
B[2186]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,6,11,12],[1,4,5,8,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,7,11,12,13],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,5,8,10,11,12],[2,6,7,8,11,13],[2,6,7,9,11,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[3,5,7,9,10,13],[4,5,6,9,10,12]];
G[2186]:=Group([(2,13)(3,12)(4,7)(6,11)(8,10)]);
# Design 2187: autom. group order 2, simple
B[2187]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,6,7,11],[1,4,5,8,10,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,7,8,10,13],[2,4,5,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[2,6,8,10,11,12],[3,4,6,8,10,12],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,5,9,10,11,13],[4,5,6,7,9,10]];
G[2187]:=Group([(2,12)(3,13)(4,7)(6,10)(8,11)]);
# Design 2188: autom. group order 2, simple
B[2188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,10],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,6,7,11,13],[2,4,5,8,9,12],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,7,9,11,12],[2,6,7,8,10,13],[2,6,8,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,8,10,12,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,5,9,10,11,13],[4,5,6,7,9,10]];
G[2188]:=Group([(2,12)(3,13)(4,7)(6,10)(8,11)]);
# Design 2189: autom. group order 2, simple, derived
B[2189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,12],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,6,7,8,10],[2,4,5,7,9,12],[2,4,5,8,11,13],[2,4,8,10,11,12],[2,5,8,9,10,13],[2,6,7,9,11,13],[2,6,7,11,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,6,7,9,10]];
G[2189]:=Group([(2,8)(3,7)(5,13)]);
# Design 2190: autom. group order 2, simple, derived
B[2190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,9,10,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,9,10,13],[2,4,5,11,12,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,6,7,8,9,13],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,8,9,10,13],[4,5,7,8,9,11]];
G[2190]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2191: autom. group order 2, simple, derived
B[2191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,11,12,13],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,6,8,9,10],[1,6,7,9,11,13],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,4,5,8,9,11],[2,4,5,10,12,13],[2,4,7,9,10,13],[2,5,7,8,11,13],[2,6,7,10,11,12],[2,6,8,9,11,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,5,6,8,10,13],[3,5,7,8,9,12],[3,5,9,10,11,13],[4,5,6,7,9,12]];
G[2191]:=Group([(1,11)(2,10)(5,12)]);
# Design 2192: autom. group order 2, simple
B[2192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,5,11,12,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,6,7,8,9,13],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[3,5,8,9,10,13],[4,5,6,8,9,11]];
G[2192]:=Group([(2,13)(3,12)(4,6)(5,8)(7,10)]);
# Design 2193: autom. group order 2, simple, derived
B[2193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,11,12,13],[2,4,5,7,11,12],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,7,8,9,11],[2,6,7,8,11,13],[2,6,8,9,10,12],[3,4,6,7,10,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,7,8,10,13],[3,5,7,9,10,12],[4,5,6,9,11,12]];
G[2193]:=Group([(2,10)(3,11)(4,13)(8,12)]);
# Design 2194: autom. group order 2, simple, derived
B[2194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,7,9,11,12],[2,6,7,8,11,13],[2,6,8,9,10,12],[3,4,6,7,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,10],[3,5,7,8,10,13],[4,5,6,8,9,11]];
G[2194]:=Group([(2,10)(3,11)(4,13)(8,12)]);
# Design 2195: autom. group order 2, simple
B[2195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,10,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,11,12,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,6,7,10,11,12],[2,6,8,9,10,13],[3,4,6,7,9,12],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[3,5,8,9,10,13],[4,5,6,8,9,11]];
G[2195]:=Group([(2,13)(3,12)(4,6)(5,8)(7,10)]);
# Design 2196: autom. group order 2, simple, derived
B[2196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,11,12,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,5,8,10,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,6,7,9,12,13],[2,6,7,10,11,13],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,5,8,9,10,12],[4,5,6,9,10,13]];
G[2196]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 2197: autom. group order 2, simple, derived
B[2197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,10,13],[2,4,5,7,9,12],[2,4,5,8,11,13],[2,4,8,10,11,12],[2,5,7,8,9,10],[2,6,7,9,11,13],[2,6,7,11,12,13],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,9,10,13]];
G[2197]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2198: autom. group order 2, simple
B[2198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,10],[2,4,5,8,12,13],[2,4,8,10,11,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[2,6,7,11,12,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,8,9,10],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,9,11,13]];
G[2198]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2199: autom. group order 2, simple
B[2199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,5,8,10,13],[2,4,8,10,11,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[2,6,7,11,12,13],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,8,9,10],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,9,11,13]];
G[2199]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2200: autom. group order 2, simple, derived
B[2200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,9,10,13],[2,4,5,11,12,13],[2,4,6,8,11,12],[2,5,8,9,10,12],[2,6,7,8,9,13],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,7,8,9,11]];
G[2200]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2201: autom. group order 2, simple
B[2201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,11,12,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,7,8,11,12],[2,4,5,7,9,11],[2,4,5,8,10,13],[2,4,6,8,9,10],[2,5,8,11,12,13],[2,6,7,9,12,13],[2,6,7,10,11,13],[3,4,6,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,11],[3,5,8,9,10,12],[4,5,7,9,10,12]];
G[2201]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 2202: autom. group order 2, simple
B[2202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,9,10,13],[1,4,6,8,11,12],[1,4,8,9,10,11],[1,5,6,7,8,9],[1,6,7,11,12,13],[1,7,8,10,12,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[2,6,8,9,11,13],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,8,10,11,13],[4,5,7,9,10,12]];
G[2202]:=Group([(1,3)(5,7)(6,8)(10,12)(11,13)]);
# Design 2203: autom. group order 2, simple
B[2203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,9,10,13],[1,4,6,8,11,12],[1,4,8,9,10,11],[1,5,6,7,8,9],[1,6,7,11,12,13],[1,7,8,10,12,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,5,8,9,11,12],[2,6,7,9,10,13],[2,6,8,9,11,13],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,8,10,11,13],[4,5,7,9,10,12]];
G[2203]:=Group([(1,3)(5,7)(6,8)(10,12)(11,13)]);
# Design 2204: autom. group order 2, simple
B[2204]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,9,10,13],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,7,8,9],[1,6,7,10,11,12],[1,7,8,10,11,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[2,6,8,9,11,13],[3,4,6,8,10,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,6,11,12,13],[3,5,8,10,12,13],[4,5,7,9,10,12]];
G[2204]:=Group([(1,3)(5,7)(6,8)(10,12)(11,13)]);
# Design 2205: autom. group order 2, simple
B[2205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,9,10,13],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,7,8,9],[1,6,7,10,11,12],[1,7,8,10,11,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,5,8,9,10,11],[2,6,7,9,12,13],[2,6,8,9,11,13],[3,4,6,8,10,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,6,11,12,13],[3,5,8,10,12,13],[4,5,7,9,10,12]];
G[2205]:=Group([(1,3)(5,7)(6,8)(10,12)(11,13)]);
# Design 2206: autom. group order 2, simple
B[2206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,10,11,12,13],[2,3,6,8,12,13],[2,4,5,8,11,12],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,7,9,11,13],[2,6,7,8,11,13],[2,7,8,9,10,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[2206]:=Group([(2,13)(3,12)(4,10)(6,8)(7,11)]);
# Design 2207: autom. group order 2, simple, derived
B[2207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,12,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,11,12],[2,4,5,7,11,13],[2,4,5,8,9,10],[2,4,6,9,12,13],[2,5,10,11,12,13],[2,6,7,8,9,11],[2,7,8,10,12,13],[3,4,6,10,11,12],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,6,8,10,13],[3,5,7,9,10,11],[4,5,6,7,9,12]];
G[2207]:=Group([(1,13)(3,12)(4,10)(6,11)]);
# Design 2208: autom. group order 2, simple
B[2208]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,12,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,11,12],[2,4,5,7,11,13],[2,4,5,8,9,10],[2,4,6,9,12,13],[2,5,10,11,12,13],[2,6,7,8,9,11],[2,7,8,10,12,13],[3,4,6,10,11,12],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,6,8,10,13],[3,5,7,9,10,11],[4,5,6,7,9,12]];
G[2208]:=Group([(1,13)(3,12)(4,10)(6,11)]);
# Design 2209: autom. group order 2, simple
B[2209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,5,9,10,13],[2,4,6,11,12,13],[2,5,8,9,10,12],[2,6,7,8,10,12],[2,7,8,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[2209]:=Group([(2,10)(3,11)(4,13)(6,7)(8,12)]);
# Design 2210: autom. group order 2, simple
B[2210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,9,10],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[2,7,9,10,12,13],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,6,9,11,13],[3,5,8,9,10,12],[4,5,6,7,9,12]];
G[2210]:=Group([(1,13)(3,12)(5,8)(7,11)]);
# Design 2211: autom. group order 2, simple
B[2211]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,9,10],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[2,7,9,10,12,13],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,6,10,11,13],[3,5,8,9,10,12],[4,5,6,7,9,12]];
G[2211]:=Group([(1,13)(3,12)(5,8)(7,11)]);
# Design 2212: autom. group order 2, simple
B[2212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,9,11,12],[1,4,6,8,9,13],[1,4,7,8,10,13],[1,5,7,8,11,12],[1,6,7,11,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,5,8,10,11,13],[2,6,7,8,9,12],[2,7,9,10,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,7,8,9,10],[4,5,6,9,10,13]];
G[2212]:=Group([(1,9)(2,8)(3,6)(4,12)]);
# Design 2213: autom. group order 2, simple
B[2213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,10,12],[2,4,5,9,11,13],[2,4,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,10,13],[2,7,8,9,11,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[2213]:=Group([(2,13)(3,12)(4,11)(6,8)(7,10)]);
# Design 2214: autom. group order 2, simple, derived
B[2214]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,13],[1,4,5,7,10,11],[1,4,6,8,9,10],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,11,12],[2,4,5,9,10,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[2,7,8,9,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,10,12,13],[3,5,6,8,9,12],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,9,12]];
G[2214]:=Group([(1,8)(3,7)(5,13)(11,12)]);
# Design 2215: autom. group order 2, simple, derived
B[2215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,13],[1,4,5,7,10,11],[1,4,6,8,9,10],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,7,11,12],[2,4,5,9,10,13],[2,4,5,11,12,13],[2,4,6,7,8,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[2,7,8,9,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,6,7,9,12]];
G[2215]:=Group([(1,8)(3,7)(5,13)(11,12)]);
# Design 2216: autom. group order 2, simple, derived
B[2216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,10,11,12,13],[2,3,6,8,12,13],[2,4,5,8,11,12],[2,4,5,9,10,13],[2,4,7,10,11,13],[2,5,6,9,11,12],[2,6,7,8,11,13],[2,7,8,9,10,12],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,13],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[2216]:=Group([(2,13)(3,12)(4,10)(6,8)(7,11)]);
# Design 2217: autom. group order 2, simple, derived
B[2217]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,9,11,12],[2,6,7,8,10,12],[2,7,8,9,11,13],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,10],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[2217]:=Group([(2,10)(3,11)(4,13)(6,7)(8,12)]);
# Design 2218: autom. group order 2, simple
B[2218]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,7,11,12,13],[2,4,5,6,11,12],[2,4,5,9,10,13],[2,4,7,8,11,13],[2,5,8,9,10,12],[2,6,7,8,10,12],[2,6,8,9,11,13],[3,4,6,8,10,11],[3,4,6,10,12,13],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,6,8,9,13],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[2218]:=Group([(2,10)(3,11)(4,13)(6,7)(8,12)]);
# Design 2219: autom. group order 2, simple
B[2219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,5,6,9,13],[2,4,5,9,11,12],[2,4,8,10,11,12],[2,5,7,8,12,13],[2,6,7,8,11,13],[2,6,8,9,10,11],[3,4,6,7,8,9],[3,4,6,7,11,12],[3,4,8,9,10,13],[3,5,6,8,10,12],[3,5,6,10,11,13],[3,5,7,9,11,13],[4,5,7,9,10,12]];
G[2219]:=Group([(1,12)(2,4)(3,11)(6,9)(7,10)]);
# Design 2220: autom. group order 2, simple
B[2220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,9,11,12],[1,4,6,8,10,11],[1,4,7,11,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,6,11,13],[2,4,5,8,9,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[2,6,10,11,12,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,5,8,9,10,11],[4,5,7,9,10,13]];
G[2220]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2221: autom. group order 2, simple
B[2221]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,6,8,13],[2,4,5,9,11,12],[2,4,8,9,10,11],[2,5,7,11,12,13],[2,6,7,9,10,12],[2,6,8,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,8,9,10,13],[4,5,7,8,9,10]];
G[2221]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2222: autom. group order 2, simple
B[2222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,4,5,6,9,13],[2,4,5,9,11,12],[2,4,8,10,11,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[2,6,8,10,11,13],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,7,8,9,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,9,10,11,13],[4,5,7,9,10,12]];
G[2222]:=Group([(1,12)(2,4)(3,11)(6,9)(7,10)]);
# Design 2223: autom. group order 2, simple
B[2223]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[1,6,7,9,12,13],[2,3,7,8,11,13],[2,4,5,7,12,13],[2,4,5,9,10,11],[2,4,6,8,9,12],[2,5,6,8,9,13],[2,6,7,10,11,12],[2,8,10,11,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,5,7,9,10,13],[4,5,7,8,9,11]];
G[2223]:=Group([(1,11)(3,10)(4,12)(5,13)(6,8)]);
# Design 2224: autom. group order 2, simple, derived
B[2224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,7,11,12],[1,4,7,9,11,13],[1,4,8,9,10,12],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,11,12],[2,4,5,8,9,11],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,5,9,11,12,13],[2,6,7,9,10,11],[2,7,8,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,10],[3,5,7,8,11,12],[4,5,6,9,10,12]];
G[2224]:=Group([(1,13)(3,12)(4,7)(5,10)(6,8)]);
# Design 2225: autom. group order 2, simple
B[2225]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,8,10],[1,3,5,6,10,12],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,8,11,12,13],[2,4,5,7,9,13],[2,4,5,9,11,12],[2,4,6,8,10,13],[2,5,6,8,11,12],[2,6,7,9,10,12],[2,6,7,10,11,13],[3,4,6,7,8,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,7,8,9,13],[3,5,8,10,11,13],[4,5,8,9,10,12]];
G[2225]:=Group([(2,13)(3,12)(4,7)(6,10)(8,11)]);
# Design 2226: autom. group order 2, simple, derived
B[2226]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,8,10,11],[1,4,6,7,11,13],[1,4,7,9,12,13],[1,5,6,8,9,12],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,10,11,13],[2,4,5,7,9,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,5,8,9,11,13],[2,6,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,9,10,13]];
G[2226]:=Group([(2,10)(3,11)(4,8)(5,7)(6,13)]);
# Design 2227: autom. group order 2, simple
B[2227]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,11,12,13],[1,4,6,9,11,13],[1,4,7,8,9,12],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,8,9,13],[2,4,5,8,10,11],[2,4,6,7,9,10],[2,5,7,11,12,13],[2,6,7,9,11,13],[2,6,8,10,12,13],[3,4,6,7,11,12],[3,4,7,10,12,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,5,7,9,10,11],[4,5,6,9,10,12]];
G[2227]:=Group([(2,7)(3,8)(5,12)(6,9)(11,13)]);
# Design 2228: autom. group order 2, simple, derived
B[2228]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,6,11,12,13],[1,6,7,8,9,10],[1,8,10,11,12,13],[2,3,7,8,11,13],[2,4,5,8,11,12],[2,4,5,9,10,13],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,6,7,8,10,12],[2,6,7,9,11,13],[3,4,6,7,11,12],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[3,5,8,9,10,11],[4,5,7,8,9,13]];
G[2228]:=Group([(2,12)(3,13)(4,11)(7,10)]);
# Design 2229: autom. group order 2, simple, derived
B[2229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,6,11,12,13],[1,6,7,8,9,10],[1,8,10,11,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,5,9,10,13],[2,4,6,7,11,13],[2,5,6,8,9,12],[2,6,7,8,10,12],[2,6,7,9,11,13],[3,4,6,9,10,12],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,5,6,7,10,13],[3,5,7,8,9,11],[3,5,7,9,11,12],[4,5,8,9,10,13]];
G[2229]:=Group([(2,12)(3,13)(4,11)(7,10)]);
# Design 2230: autom. group order 2, simple
B[2230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,11],[1,4,5,9,10,11],[1,4,6,7,12,13],[1,4,7,8,11,13],[1,5,6,11,12,13],[1,6,7,8,9,10],[1,8,9,10,12,13],[2,3,8,11,12,13],[2,4,5,7,9,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,13],[2,6,7,8,9,11],[2,6,7,10,11,12],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,5,7,10,11,13],[4,5,8,9,11,12]];
G[2230]:=Group([(2,12)(3,13)(4,6)(5,7)(8,11)]);
# Design 2231: autom. group order 2, simple
B[2231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,11],[1,4,5,8,9,10],[1,4,6,7,12,13],[1,4,7,8,11,13],[1,5,6,11,12,13],[1,6,7,9,10,11],[1,8,9,10,12,13],[2,3,8,11,12,13],[2,4,5,7,9,13],[2,4,5,10,11,12],[2,4,6,10,11,13],[2,5,6,8,9,13],[2,6,7,8,9,11],[2,6,7,8,10,12],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,7,8,10,13],[3,5,7,10,11,13],[4,5,8,9,11,12]];
G[2231]:=Group([(2,12)(3,13)(4,6)(5,7)(8,11)]);
# Design 2232: autom. group order 2, simple, derived
B[2232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,11,12,13],[1,4,6,9,11,13],[1,4,7,8,9,12],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,8,9,10,11,12],[2,3,7,8,11,13],[2,4,5,8,9,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,5,6,7,9,12],[2,6,7,9,11,13],[2,6,8,10,12,13],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2232]:=Group([(2,7)(3,8)(5,12)(6,9)(11,13)]);
# Design 2233: autom. group order 2, simple, derived
B[2233]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,11,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,7,8,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,7,8,10,13],[2,4,5,8,9,11],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,6,7,9,11,13],[2,6,8,10,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[3,5,8,10,12,13],[4,5,7,9,10,13]];
G[2233]:=Group([(2,7)(3,8)(5,12)(6,9)]);
# Design 2234: autom. group order 2, simple
B[2234]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,11,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,7,8,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,7,8,11,13],[2,4,5,8,9,11],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,6,7,9,10,11],[2,6,8,10,12,13],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,9,12],[3,5,7,9,10,13],[3,5,8,10,11,12],[4,5,7,9,11,13]];
G[2234]:=Group([(2,7)(3,8)(5,12)(6,9)]);
# Design 2235: autom. group order 2, simple
B[2235]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,11,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,7,8,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,7,8,11,13],[2,4,5,8,9,11],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,6,7,9,10,13],[2,6,8,10,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[3,5,8,10,12,13],[4,5,7,9,11,13]];
G[2235]:=Group([(2,7)(3,8)(5,12)(6,9)]);
# Design 2236: autom. group order 2, simple
B[2236]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,6,7,11,13],[2,4,5,8,10,13],[2,4,5,9,11,12],[2,4,6,8,11,12],[2,5,6,9,10,13],[2,6,7,8,10,12],[2,7,8,9,11,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[3,5,8,9,10,11],[4,5,6,7,9,13]];
G[2236]:=Group([(2,12)(3,13)(4,11)(6,8)(7,10)]);
# Design 2237: autom. group order 2, simple
B[2237]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,9,11,12],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,11,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,8,11],[2,4,5,8,9,10],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,6,11,12,13],[2,6,7,9,10,11],[2,8,9,10,12,13],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,5,7,9,11,13],[4,5,6,7,9,10]];
G[2237]:=Group([(1,12)(3,13)(4,6)(5,7)(8,11)]);
# Design 2238: autom. group order 2, simple
B[2238]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,13],[1,4,5,8,9,12],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,11,12],[1,6,7,9,11,12],[1,6,8,10,11,13],[2,3,6,7,8,11],[2,4,5,8,11,13],[2,4,5,9,10,11],[2,4,6,7,12,13],[2,5,6,11,12,13],[2,6,7,8,9,10],[2,8,9,10,12,13],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,5,7,9,11,13],[4,5,6,7,9,10]];
G[2238]:=Group([(1,12)(3,13)(4,6)(5,7)(8,11)]);
# Design 2239: autom. group order 2, simple
B[2239]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,8,10],[1,3,5,6,11,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,4,7,9,10,11],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,6,10,12],[2,4,5,9,11,13],[2,4,6,8,11,13],[2,5,7,9,11,12],[2,6,7,8,11,12],[2,6,7,9,10,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[4,5,8,9,10,12]];
G[2239]:=Group([(2,11)(3,10)(4,13)(6,8)(7,12)]);
# Design 2240: autom. group order 2, simple, derived
B[2240]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,8,10,11,13],[2,4,5,6,10,13],[2,4,5,9,11,12],[2,4,7,8,11,13],[2,5,6,8,9,12],[2,6,7,8,10,12],[2,6,7,9,11,13],[3,4,6,7,12,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,5,7,9,10,13],[4,5,8,9,10,13]];
G[2240]:=Group([(2,12)(3,13)(4,11)(6,8)(7,10)]);
# Design 2241: autom. group order 2, simple
B[2241]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,8,12,13],[1,4,5,6,10,12],[1,4,6,9,11,13],[1,4,7,9,10,13],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,4,5,7,12,13],[2,4,5,8,9,10],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,6,7,8,10,13],[2,6,9,10,12,13],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,5,8,9,10,12],[4,5,7,9,11,12]];
G[2241]:=Group([(1,13)(3,12)(5,8)(6,11)]);
# Design 2242: autom. group order 2, simple
B[2242]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,6,7,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,8,12,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,4,7,9,11,13],[2,5,6,8,9,11],[2,6,7,8,9,10],[2,6,10,11,12,13],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,12],[4,5,8,9,12,13]];
G[2242]:=Group([(1,11)(2,10)(5,13)(6,7)]);
# Design 2243: autom. group order 2, simple
B[2243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,10,13],[1,4,7,8,12,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,13],[2,4,5,8,9,12],[2,4,10,11,12,13],[2,5,7,8,10,11],[2,6,7,8,11,13],[2,6,7,9,10,13],[3,4,6,7,9,11],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,10,12],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[2243]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2244: autom. group order 2, simple
B[2244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,8,11,12],[1,4,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,4,5,6,9,13],[2,4,5,8,9,11],[2,4,10,11,12,13],[2,5,7,8,12,13],[2,6,7,8,10,12],[2,6,7,9,11,12],[3,4,6,7,9,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,7,9,10,13]];
G[2244]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2245: autom. group order 2, simple
B[2245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,11,12],[1,4,7,8,12,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,4,5,6,9,13],[2,4,5,8,9,12],[2,4,10,11,12,13],[2,5,7,8,10,11],[2,6,7,8,11,13],[2,6,7,9,11,12],[3,4,6,7,9,11],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,10,12],[3,5,8,9,11,12],[4,5,7,9,10,13]];
G[2245]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2246: autom. group order 2, simple
B[2246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,8,10,12],[1,4,5,6,8,13],[1,4,6,7,9,11],[1,4,8,9,12,13],[1,5,7,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,6,7,12,13],[2,4,5,6,10,12],[2,4,5,9,11,13],[2,4,7,8,11,12],[2,5,8,9,10,13],[2,6,7,8,10,13],[2,6,8,9,11,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,7,9,10,12]];
G[2246]:=Group([(2,13)(3,12)(4,11)(6,7)(8,10)]);
# Design 2247: autom. group order 2, simple
B[2247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,12,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2247]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2248: autom. group order 2, simple
B[2248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,10,13],[1,4,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,11,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2248]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2249: autom. group order 2, simple
B[2249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,8,11,12],[1,4,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,4,5,8,10,13],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,12,13],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,5,8,11,12,13],[4,5,7,9,11,12]];
G[2249]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2250: autom. group order 2, simple
B[2250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,11,12],[1,4,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,4,5,8,10,13],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,11,13],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,8,11,12,13],[4,5,7,9,11,12]];
G[2250]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2251: autom. group order 2, simple
B[2251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,11],[1,4,5,6,7,13],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,6,7,11,13],[2,4,5,8,10,13],[2,4,5,9,11,12],[2,4,6,8,11,12],[2,5,6,9,10,13],[2,6,7,8,10,12],[2,7,8,9,11,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,7,8,9,12],[4,5,7,9,10,11]];
G[2251]:=Group([(2,12)(3,13)(4,11)(6,8)(7,10)]);
# Design 2252: autom. group order 2, simple
B[2252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,11,12],[1,4,7,8,11,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,8,11],[2,4,5,7,12,13],[2,4,5,9,10,11],[2,4,6,8,9,13],[2,5,6,8,9,12],[2,6,7,10,11,13],[2,8,10,11,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,7,8,9,10]];
G[2252]:=Group([(1,10)(3,11)(4,13)(5,12)(6,8)]);
# Design 2253: autom. group order 2, simple
B[2253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,7,10,12,13],[1,4,8,9,11,12],[1,5,6,7,11,13],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,4,5,6,11,12],[2,4,5,8,10,13],[2,4,7,9,11,13],[2,5,7,8,9,11],[2,6,7,8,9,10],[2,6,10,11,12,13],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,9,10,11,12],[4,5,8,9,12,13]];
G[2253]:=Group([(1,11)(2,10)(5,13)(6,7)]);
# Design 2254: autom. group order 2, simple
B[2254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,8,13],[1,4,5,9,10,11],[1,4,6,7,11,12],[1,4,6,8,9,13],[1,5,6,8,9,12],[1,6,7,10,11,13],[1,8,10,11,12,13],[2,3,6,8,10,11],[2,4,5,6,11,13],[2,4,5,10,12,13],[2,4,7,8,11,12],[2,5,8,9,11,13],[2,6,7,8,9,10],[2,6,7,9,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,7,8,9,10]];
G[2254]:=Group([(2,10)(3,11)(4,13)(5,12)(6,8)]);
# Design 2255: autom. group order 2, simple
B[2255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,11,12],[1,5,6,9,10,12],[1,6,8,9,10,13],[1,7,8,9,11,13],[2,3,6,8,10,13],[2,4,5,6,9,13],[2,4,5,8,9,11],[2,4,10,11,12,13],[2,5,7,8,12,13],[2,6,7,8,10,12],[2,6,7,9,11,12],[3,4,6,7,9,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,7,9,10,13]];
G[2255]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2256: autom. group order 2, simple
B[2256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,9,10,11],[1,6,8,9,11,12],[1,7,8,9,12,13],[2,3,6,8,11,12],[2,4,5,6,9,13],[2,4,5,8,9,12],[2,4,10,11,12,13],[2,5,7,8,10,11],[2,6,7,8,11,13],[2,6,7,9,10,13],[3,4,6,7,9,11],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,10,12],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[2256]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2257: autom. group order 2, simple
B[2257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,6,8,9,11,12],[1,7,8,9,10,11],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,5,8,9,10],[2,4,10,11,12,13],[2,5,7,8,12,13],[2,6,7,8,11,13],[2,6,7,9,10,13],[3,4,6,7,9,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,10,12],[3,5,8,9,10,13],[4,5,7,9,11,12]];
G[2257]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2258: autom. group order 2, simple
B[2258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,10,12,13],[1,4,5,7,8,12],[1,4,6,7,9,13],[1,4,6,9,10,12],[1,5,6,8,11,13],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,5,8,10,13],[2,4,7,11,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[2,6,7,10,12,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,9,10,11,12]];
G[2258]:=Group([(1,13)(3,12)(4,7)(5,10)(8,11)]);
# Design 2259: autom. group order 2, simple
B[2259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,11,12,13],[2,3,6,8,10,12],[2,4,5,6,11,12],[2,4,5,8,11,13],[2,4,7,8,10,13],[2,5,7,9,11,12],[2,6,7,9,11,13],[2,6,8,9,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,5,7,10,12,13],[4,5,8,9,10,12]];
G[2259]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2260: autom. group order 2, simple
B[2260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,12,13],[1,4,6,9,10,11],[1,5,6,7,8,9],[1,6,8,11,12,13],[1,7,8,10,11,12],[2,3,6,8,10,12],[2,4,5,6,11,12],[2,4,5,8,11,13],[2,4,7,8,10,13],[2,5,7,9,11,12],[2,6,7,9,11,13],[2,6,8,9,10,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,7,10,11,13],[4,5,8,9,10,12]];
G[2260]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2261: autom. group order 2, simple
B[2261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,11,12],[1,4,6,9,12,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,10,11,13],[2,3,6,8,10,12],[2,4,5,6,10,11],[2,4,5,8,11,13],[2,4,7,8,12,13],[2,5,7,9,11,12],[2,6,7,9,11,13],[2,6,8,9,10,13],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,11,12,13],[3,5,7,10,12,13],[4,5,8,9,10,12]];
G[2261]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2262: autom. group order 2, simple
B[2262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,6,9,10,12],[1,6,8,9,11,12],[1,7,8,9,11,13],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,12,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2262]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2263: autom. group order 2, simple
B[2263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,6,9,10,11],[1,6,8,9,11,12],[1,7,8,9,12,13],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,11,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2263]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2264: autom. group order 2, simple
B[2264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,6,8,9,11,12],[1,7,8,9,10,11],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,5,9,11,13],[2,4,6,9,10,11],[2,5,6,7,8,9],[2,6,7,10,12,13],[2,7,8,11,12,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,8,10,11,13],[4,5,7,9,10,13]];
G[2264]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2265: autom. group order 2, simple
B[2265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,11,12],[1,5,6,9,10,12],[1,6,8,9,10,13],[1,7,8,9,11,13],[2,3,6,8,11,12],[2,4,5,8,10,13],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,12,13],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,5,8,11,12,13],[4,5,7,9,11,12]];
G[2265]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2266: autom. group order 2, simple
B[2266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,11,12,13],[2,3,6,8,10,12],[2,4,5,7,11,12],[2,4,5,8,11,13],[2,4,6,8,10,13],[2,5,6,9,11,12],[2,6,7,9,11,13],[2,7,8,9,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,5,7,10,12,13],[4,5,8,9,10,12]];
G[2266]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2267: autom. group order 2, simple
B[2267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,12,13],[1,4,6,9,10,11],[1,5,6,7,8,9],[1,6,8,11,12,13],[1,7,8,10,11,12],[2,3,6,8,10,12],[2,4,5,7,11,12],[2,4,5,8,11,13],[2,4,6,8,10,13],[2,5,6,9,11,12],[2,6,7,9,11,13],[2,7,8,9,10,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,7,10,11,13],[4,5,8,9,10,12]];
G[2267]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2268: autom. group order 2, simple
B[2268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,11,12],[1,4,6,9,12,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,10,11,13],[2,3,6,8,10,12],[2,4,5,7,11,12],[2,4,5,8,11,13],[2,4,6,8,10,13],[2,5,6,9,10,11],[2,6,7,9,11,13],[2,7,8,9,12,13],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,11,12,13],[3,5,7,10,12,13],[4,5,8,9,10,12]];
G[2268]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2269: autom. group order 2, simple, derived
B[2269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,10,11,12],[1,4,6,7,10,13],[1,4,6,8,11,12],[1,5,6,9,11,13],[1,6,7,8,9,12],[1,7,8,9,10,13],[2,3,6,7,10,11],[2,4,5,7,8,13],[2,4,5,9,12,13],[2,4,6,8,9,11],[2,5,6,8,9,10],[2,6,7,11,12,13],[2,8,10,11,12,13],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,7,9,10,11]];
G[2269]:=Group([(1,12)(3,13)(4,11)(5,10)(6,8)]);
# Design 2270: autom. group order 2, simple
B[2270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,6,8,11,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,4,5,6,9,13],[2,4,5,8,9,12],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,6,7,8,11,13],[2,7,8,9,11,12],[3,4,6,7,9,11],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,8,10,12],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,7,9,10,13]];
G[2270]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2271: autom. group order 2, simple
B[2271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,5,8,9,10],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,6,7,8,11,13],[2,7,8,9,10,13],[3,4,6,7,9,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,8,10,12],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,7,9,11,12]];
G[2271]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2272: autom. group order 2, simple
B[2272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,6,11,12],[2,4,5,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,11,13],[3,4,6,9,10,11],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2272]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2273: autom. group order 2, simple
B[2273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,8,9,10,11],[1,6,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,6,11,12],[2,4,5,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,11,13],[3,4,6,9,10,11],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,8,11,12,13],[4,5,7,9,10,13]];
G[2273]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2274: autom. group order 2, simple
B[2274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,6,11,12],[2,4,5,9,11,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,6,7,10,12,13],[2,7,8,11,12,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,5,8,10,11,13],[4,5,7,9,10,13]];
G[2274]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2275: autom. group order 2, simple
B[2275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,6,8,11,12],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,4,5,6,10,13],[2,4,5,9,11,13],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,6,7,10,11,12],[2,7,8,10,11,13],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,5,8,11,12,13],[4,5,7,9,11,12]];
G[2275]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2276: autom. group order 2, simple, derived
B[2276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,8,10,12],[1,4,6,10,11,13],[1,4,8,9,11,13],[1,5,6,8,9,12],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,4,5,6,7,13],[2,4,5,8,9,11],[2,4,6,9,12,13],[2,5,10,11,12,13],[2,6,7,8,9,10],[2,7,8,11,12,13],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,8,9,10,13],[4,5,7,9,10,12]];
G[2276]:=Group([(1,13)(3,12)(4,11)(6,10)]);
# Design 2277: autom. group order 2, simple, derived
B[2277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,6,7,11,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,8,11],[2,4,5,6,11,13],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,5,8,9,10,11],[2,6,9,10,12,13],[2,7,8,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,7,9,11,13],[4,5,7,8,9,10]];
G[2277]:=Group([(1,12)(3,13)(4,8)(5,7)(6,11)]);
# Design 2278: autom. group order 2, simple, derived
B[2278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,8,13],[1,4,5,10,11,13],[1,4,6,8,9,11],[1,4,8,9,10,12],[1,5,6,7,11,12],[1,6,7,9,10,13],[1,6,8,11,12,13],[2,3,6,10,11,12],[2,4,5,6,9,13],[2,4,5,8,11,12],[2,4,7,9,11,13],[2,5,6,8,10,13],[2,6,7,8,9,12],[2,7,8,10,11,13],[3,4,6,7,8,10],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,5,8,9,12,13],[4,5,7,9,10,12]];
G[2278]:=Group([(1,12)(2,13)(5,11)(6,7)(8,10)]);
# Design 2279: autom. group order 2, simple, derived
B[2279]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,8,10,12],[1,4,5,7,12,13],[1,4,6,7,9,11],[1,4,8,11,12,13],[1,5,6,8,9,11],[1,6,7,8,10,13],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,4,5,6,10,12],[2,4,5,8,9,13],[2,4,7,9,10,13],[2,5,6,8,11,13],[2,6,7,8,9,12],[2,7,8,10,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,5,7,9,11,13],[4,5,9,10,11,12]];
G[2279]:=Group([(2,13)(3,12)(5,8)(6,11)]);
# Design 2280: autom. group order 2, simple, derived
B[2280]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,6,7,11,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,8,11],[2,4,5,6,11,13],[2,4,5,8,12,13],[2,4,7,9,10,11],[2,5,6,8,9,10],[2,6,9,10,12,13],[2,7,8,11,12,13],[3,4,6,8,9,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,7,8,9,10]];
G[2280]:=Group([(1,12)(3,13)(4,8)(5,7)(6,11)]);
# Design 2281: autom. group order 2, simple, derived
B[2281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,11],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,7,11,12,13],[1,5,6,7,9,11],[1,6,7,8,10,13],[1,6,9,10,12,13],[2,3,6,7,8,13],[2,4,5,6,9,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,11,12],[2,6,8,10,11,12],[2,7,8,9,11,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,9,12],[3,5,7,9,10,13],[3,5,8,11,12,13],[4,5,7,8,9,10]];
G[2281]:=Group([(2,12)(3,13)(5,7)(6,11)]);
# Design 2282: autom. group order 2, simple, derived
B[2282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,11],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,7,11,12,13],[1,5,6,7,9,11],[1,6,7,8,10,13],[1,6,9,10,12,13],[2,3,6,7,8,13],[2,4,5,6,10,13],[2,4,5,9,11,13],[2,4,8,9,10,12],[2,5,6,7,11,12],[2,6,8,10,11,12],[2,7,8,9,11,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,8,9,12],[3,5,7,9,10,13],[3,5,8,11,12,13],[4,5,7,8,9,10]];
G[2282]:=Group([(2,12)(3,13)(5,7)(6,11)]);
# Design 2283: autom. group order 2, simple
B[2283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,6,11,12],[1,4,5,8,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,7,11,12,13],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,8,11,13],[2,4,6,9,11,12],[2,5,7,8,9,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,6,7,8,12],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[3,6,7,9,11,13],[4,5,6,9,10,12]];
G[2283]:=Group([(2,13)(3,12)(4,7)(6,11)(8,10)]);
# Design 2284: autom. group order 2, simple
B[2284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,6,7,11],[1,4,5,8,10,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,7,8,10,13],[2,4,5,8,9,12],[2,4,6,7,9,13],[2,4,6,10,11,13],[2,5,7,8,11,13],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,9,10,11,13],[3,6,7,8,10,12],[4,5,6,7,9,10]];
G[2284]:=Group([(2,12)(3,13)(4,7)(6,10)(8,11)]);
# Design 2285: autom. group order 2, simple, derived
B[2285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,7,8,9,13],[2,5,10,11,12,13],[2,6,7,10,11,12],[3,4,5,10,12,13],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,6,7,8,10,12],[4,5,6,8,9,10]];
G[2285]:=Group([(1,10)(3,11)(4,12)(5,7)(8,13)]);
# Design 2286: autom. group order 2, simple
B[2286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,6,11,13],[1,4,7,10,11,13],[1,4,8,10,12,13],[1,5,8,9,11,12],[1,6,7,8,9,11],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,7,8,9,13],[2,5,10,11,12,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[3,6,7,8,10,12],[4,5,6,8,9,10]];
G[2286]:=Group([(1,10)(3,11)(4,12)(5,7)(8,13)]);
# Design 2287: autom. group order 2, simple
B[2287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,10],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,6,7,11,13],[2,4,5,9,11,12],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,9,12],[3,4,8,10,12,13],[3,5,6,8,9,13],[3,5,9,10,11,13],[3,6,7,10,11,12],[4,5,6,7,9,10]];
G[2287]:=Group([(2,12)(3,13)(4,7)(6,10)(8,11)]);
# Design 2288: autom. group order 2, simple
B[2288]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,6,9,11],[1,4,7,8,10,13],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,7,8,10],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,8,9,13],[3,4,6,8,11,12],[3,4,6,10,12,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[3,6,7,9,11,13],[4,5,6,7,9,10]];
G[2288]:=Group([(2,8)(3,7)(5,13)(6,10)(9,12)]);
# Design 2289: autom. group order 2, simple
B[2289]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,6,9,11],[1,4,7,8,10,13],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,7,11,13],[2,4,6,8,9,13],[2,5,7,8,9,11],[2,5,7,9,10,13],[2,6,7,10,11,12],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,6,8,9,10,11],[4,5,9,11,12,13]];
G[2289]:=Group([(2,8)(3,7)(5,13)(6,10)(9,12)]);
# Design 2290: autom. group order 2, simple
B[2290]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,10],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,6,7,8,12],[2,4,7,10,11,12],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[3,6,7,8,10,13],[4,5,8,9,10,12]];
G[2290]:=Group([(2,12)(3,13)(4,7)(6,10)(8,11)]);
# Design 2291: autom. group order 2, simple
B[2291]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,9,11,12],[2,5,8,10,11,12],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,13],[3,6,8,9,10,12],[4,5,6,7,9,12]];
G[2291]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2292: autom. group order 2, simple
B[2292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,10,11,12],[2,5,8,9,11,12],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,8,10,13],[3,6,8,9,10,12],[4,5,6,7,9,12]];
G[2292]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2293: autom. group order 2, simple
B[2293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,4,5,9,10,13],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,7,10,13],[3,4,7,10,11,12],[3,5,6,10,11,13],[3,5,7,8,9,13],[3,6,8,9,10,12],[4,5,6,7,9,12]];
G[2293]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2294: autom. group order 2, simple
B[2294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,4,5,9,10,13],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,5,8,9,11],[3,4,6,7,10,13],[3,4,7,10,11,12],[3,5,6,9,11,13],[3,5,7,8,10,13],[3,6,8,9,10,12],[4,5,6,7,9,12]];
G[2294]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2295: autom. group order 2, simple
B[2295]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,9,10,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,4,5,8,9,12],[2,4,7,9,11,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2295]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2296: autom. group order 2, simple
B[2296]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,9,10,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,4,5,8,9,12],[2,4,7,9,11,13],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,7,11,12],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2296]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2297: autom. group order 2, simple, derived
B[2297]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,9,10,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,4,5,10,11,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,5,8,9,13],[3,4,6,7,11,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,10,11,13],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2297]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2298: autom. group order 2, simple, derived
B[2298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,11,12,13],[1,4,5,7,9,12],[1,4,6,8,9,10],[1,4,6,8,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[1,7,8,9,11,13],[2,3,6,8,11,12],[2,4,5,7,11,13],[2,4,7,10,11,12],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,8,13],[3,5,7,8,10,12],[3,6,7,9,10,12],[4,5,6,9,11,12]];
G[2298]:=Group([(1,7)(2,8)(5,9)(6,11)(10,13)]);
# Design 2299: autom. group order 2, simple
B[2299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,6,7,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,9,10,13],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[2299]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2300: autom. group order 2, simple
B[2300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,6,7,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,5,6,8,9,13],[3,5,7,9,10,13],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[2300]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2301: autom. group order 2, simple, derived
B[2301]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,6,7,12,13],[2,4,5,10,11,13],[2,4,7,8,11,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,8,10,13],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[2301]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2302: autom. group order 2, simple
B[2302]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,6,7,12,13],[2,4,5,10,11,13],[2,4,7,8,11,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,7,8,10,13],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[2302]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2303: autom. group order 2, simple, derived
B[2303]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,7,8,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,6,7,10,11,12],[4,5,6,8,9,10]];
G[2303]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2304: autom. group order 2, simple, derived
B[2304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,7,8,9,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,6,7,10,11,12],[4,5,6,8,9,10]];
G[2304]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2305: autom. group order 2, simple, derived
B[2305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,7,10,11,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,10,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,11,12],[4,5,6,8,9,10]];
G[2305]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2306: autom. group order 2, simple, derived
B[2306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,11,12],[4,5,6,8,9,10]];
G[2306]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2307: autom. group order 2, simple, derived
B[2307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,4,5,10,11,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,7,9,10,13],[3,6,8,9,10,11],[4,5,6,8,9,12]];
G[2307]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2308: autom. group order 2, simple, derived
B[2308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,4,5,10,11,13],[2,4,7,8,11,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,7,9,13],[3,5,7,8,10,13],[3,6,8,9,10,11],[4,5,6,8,9,12]];
G[2308]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2309: autom. group order 2, simple
B[2309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,7,8,9,13],[1,6,7,8,11,12],[1,7,9,10,12,13],[2,3,6,10,12,13],[2,4,5,8,9,12],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,6,8,11,12,13],[3,4,5,7,12,13],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,10,11,12],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2309]:=Group([(1,8)(2,9)(3,5)(4,13)]);
# Design 2310: autom. group order 2, simple, derived
B[2310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,8,11],[1,4,6,9,11,12],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,6,7,8,11],[2,4,5,8,9,12],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,7,9,11,13],[2,6,8,10,11,13],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,7,10,12,13],[3,5,6,8,9,10],[3,5,8,10,11,12],[3,6,7,9,11,12],[4,5,6,7,9,10]];
G[2310]:=Group([(2,8)(3,7)(6,11)(10,13)]);
# Design 2311: autom. group order 2, simple, derived
B[2311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,9,12],[1,4,6,8,11,13],[1,5,7,8,11,12],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,11,12,13],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2311]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2312: autom. group order 2, simple
B[2312]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,8,12],[1,4,6,9,11,13],[1,5,7,8,11,12],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,11,12,13],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2312]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2313: autom. group order 2, simple
B[2313]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,12],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,6,7,8,10],[2,4,5,8,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,8,9,11,13],[3,4,5,8,9,12],[3,4,6,10,12,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,11,12,13],[4,5,6,7,9,10]];
G[2313]:=Group([(2,8)(3,7)(5,13)(9,12)]);
# Design 2314: autom. group order 2, simple
B[2314]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,12],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,6,7,8,10],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,4,7,10,11,12],[2,5,6,8,9,11],[2,5,7,9,10,13],[2,6,8,11,12,13],[3,4,5,8,9,12],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,8,10,12,13],[3,6,7,9,11,13],[4,5,6,7,9,10]];
G[2314]:=Group([(2,8)(3,7)(5,13)(9,12)]);
# Design 2315: autom. group order 2, simple, derived
B[2315]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,12],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,6,7,8,10],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,7,9,11],[2,5,8,9,10,13],[2,6,7,11,12,13],[3,4,5,8,9,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,8,11,12],[3,5,7,10,12,13],[3,6,8,9,11,13],[4,5,6,7,9,10]];
G[2315]:=Group([(2,8)(3,7)(5,13)]);
# Design 2316: autom. group order 2, simple, derived
B[2316]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,9,12],[1,4,6,8,11,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,10,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2316]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2317: autom. group order 2, simple
B[2317]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,8,12],[1,4,6,9,11,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,10,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2317]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2318: autom. group order 2, simple, derived
B[2318]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,6,10,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[1,7,8,9,10,12],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,8,9,11],[2,4,7,11,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,11,12,13],[3,4,5,10,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,8,10,11],[4,5,7,9,10,11]];
G[2318]:=Group([(1,7)(2,8)(5,12)(6,9)]);
# Design 2319: autom. group order 2, simple
B[2319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,4,6,9,11,12],[1,5,7,8,11,13],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,5,8,9,10],[3,4,6,7,8,11],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,6,7,10,12,13],[4,5,7,9,11,12]];
G[2319]:=Group([(1,11)(3,10)(5,8)(6,12)(7,13)]);
# Design 2320: autom. group order 2, simple, derived
B[2320]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,4,6,11,12,13],[1,5,8,9,10,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,8,10,12,13],[2,4,5,7,9,13],[2,4,6,8,9,12],[2,4,7,10,11,12],[2,5,6,8,9,11],[2,5,8,10,11,13],[2,6,7,11,12,13],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2320]:=Group([(1,7)(2,8)(5,11)(6,9)(10,13)]);
# Design 2321: autom. group order 2, simple
B[2321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,9,11,12],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,6,7,8,11,12],[4,5,7,9,10,11]];
G[2321]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2322: autom. group order 2, simple
B[2322]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,10,11,12],[2,4,7,8,9,12],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,6,7,8,11,12],[4,5,7,9,10,11]];
G[2322]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2323: autom. group order 2, simple
B[2323]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,9,11,12],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,7,10,13],[3,4,7,8,9,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,7,9,10,11]];
G[2323]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2324: autom. group order 2, simple
B[2324]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,10,11,12],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,7,9,10,11]];
G[2324]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2325: autom. group order 2, simple, derived
B[2325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,9,10,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,6,7,8,9,12],[4,5,7,8,9,11]];
G[2325]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2326: autom. group order 2, simple
B[2326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,7,9,10,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,10,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,8,9,10,12],[2,6,7,8,11,12],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,6,8,10,12],[3,6,7,10,11,13],[4,5,7,8,9,11]];
G[2326]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2327: autom. group order 2, simple
B[2327]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,7,11,12],[1,4,6,8,10,11],[1,4,6,11,12,13],[1,5,8,9,10,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,7,10,11,12],[2,4,5,7,9,13],[2,4,6,8,9,12],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,8,10,11,13],[2,6,7,11,12,13],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2327]:=Group([(1,7)(2,8)(5,11)(6,9)(10,13)]);
# Design 2328: autom. group order 2, simple
B[2328]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,7,12,13],[1,4,6,8,9,12],[1,4,6,9,11,13],[1,5,8,10,11,13],[1,6,7,8,11,13],[1,7,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,7,8,9,10],[3,4,5,7,9,11],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,10,12,13],[4,5,8,9,10,12]];
G[2328]:=Group([(1,8)(3,7)(5,11)(6,12)(10,13)]);
# Design 2329: autom. group order 2, simple, derived
B[2329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,6,9,11,12],[2,4,8,10,11,12],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,13],[3,4,5,8,10,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,6,9,10,13],[3,6,7,8,9,12],[4,5,7,9,10,11]];
G[2329]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2330: autom. group order 2, simple, derived
B[2330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,6,8,11,12],[2,4,8,10,11,12],[2,5,6,9,10,12],[2,5,8,9,11,13],[2,6,7,8,9,13],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,8,9,12],[4,5,7,9,10,11]];
G[2330]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2331: autom. group order 2, simple
B[2331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,8,9,10],[1,4,6,7,9,12],[1,4,6,11,12,13],[1,5,7,10,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,7,10,11,12],[2,4,5,8,11,12],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2331]:=Group([(1,7)(2,8)(5,11)(6,9)(10,13)]);
# Design 2332: autom. group order 2, simple, derived
B[2332]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,9,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2332]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2333: autom. group order 2, simple, derived
B[2333]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,9,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,10,11,12],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,5,10,11,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2333]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2334: autom. group order 2, simple
B[2334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,10,11,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,6,8,10,11,12],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,9,12],[2,4,6,9,11,13],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,8,9,10,11],[2,6,7,8,11,13],[3,4,5,7,10,13],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,8,9,10],[4,5,7,9,11,12]];
G[2334]:=Group([(1,8)(2,9)(3,5)(4,13)]);
# Design 2335: autom. group order 2, simple, derived
B[2335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,9,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,6,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2335]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2336: autom. group order 2, simple, derived
B[2336]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,9,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,10,11,12],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,6,9,11,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2336]:=Group([(2,13)(3,12)(5,8)(7,11)]);
# Design 2337: autom. group order 2, simple
B[2337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,7,10,11,12],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,6,9,10,13],[3,6,7,8,9,12],[4,5,8,9,10,11]];
G[2337]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2338: autom. group order 2, simple
B[2338]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,4,7,10,11,12],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,8,9,12],[4,5,8,9,10,11]];
G[2338]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2339: autom. group order 2, simple
B[2339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,12,13],[1,4,6,7,11,13],[1,4,6,8,9,10],[1,5,7,8,9,11],[1,6,10,11,12,13],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,4,7,10,11,12],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,8,9,12],[4,5,8,9,10,11]];
G[2339]:=Group([(2,13)(3,12)(4,10)(5,11)]);
# Design 2340: autom. group order 2, simple
B[2340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,8,12],[1,4,6,7,9,13],[1,4,6,8,9,11],[1,5,8,10,11,13],[1,6,8,11,12,13],[1,7,9,10,11,12],[2,3,7,8,11,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2340]:=Group([(1,13)(3,12)(5,11)(6,7)(8,10)]);
# Design 2341: autom. group order 2, simple, derived
B[2341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,8,11],[1,4,6,9,11,12],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,7,9,13],[2,4,7,11,12,13],[2,5,6,8,9,11],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,8,10,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,10,11,13],[4,5,9,10,12,13]];
G[2341]:=Group([(2,8)(3,7)(6,11)(10,13)]);
# Design 2342: autom. group order 2, simple
B[2342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,11],[1,4,6,7,8,10],[1,4,6,9,11,13],[1,5,7,8,11,12],[1,6,7,11,12,13],[1,8,9,10,12,13],[2,3,7,8,11,13],[2,4,5,10,11,12],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,6,8,10,13],[3,6,8,10,11,12],[4,5,7,9,10,13]];
G[2342]:=Group([(1,11)(3,10)(5,8)(6,13)(7,12)]);
# Design 2343: autom. group order 2, simple
B[2343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,7,8,11,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,9,11,12],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2343]:=Group([(1,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2344: autom. group order 2, simple
B[2344]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,7,9,12,13],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,9,11,12],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2344]:=Group([(1,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2345: autom. group order 2, simple
B[2345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,11],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,7,8,11,12],[2,4,5,8,9,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,7,9,11,13],[3,4,5,8,10,11],[3,4,6,7,11,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2345]:=Group([(2,8)(3,7)(5,13)(11,12)]);
# Design 2346: autom. group order 2, simple
B[2346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,12],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,8,11,12,13],[2,4,5,8,9,10],[2,4,6,7,11,12],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,10,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,6,8,12,13],[3,6,7,9,10,12],[4,5,9,11,12,13]];
G[2346]:=Group([(2,8)(3,7)(5,13)(9,12)]);
# Design 2347: autom. group order 2, simple
B[2347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,7,8,9,12],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,9,10],[3,4,6,8,11,12],[3,4,7,10,12,13],[3,5,6,8,9,13],[3,5,6,8,10,11],[3,6,7,9,10,12],[4,5,9,11,12,13]];
G[2347]:=Group([(2,8)(3,7)(5,13)(9,12)]);
# Design 2348: autom. group order 2, simple, derived
B[2348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,7,11,12],[1,4,6,10,11,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,7,8,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,6,10,12,13],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[2348]:=Group([(1,3)(5,7)(6,8)]);
# Design 2349: autom. group order 2, simple, derived
B[2349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,6,7,10,13],[1,4,6,10,11,12],[1,5,8,9,10,13],[1,6,7,8,9,12],[1,7,8,11,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,6,11,12,13],[3,6,7,9,10,13],[4,5,7,9,10,12]];
G[2349]:=Group([(1,3)(5,7)(6,8)]);
# Design 2350: autom. group order 2, simple, derived
B[2350]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,7,11,12],[1,4,6,10,11,13],[1,5,8,10,12,13],[1,6,7,8,9,13],[1,7,8,9,11,12],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,6,9,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2350]:=Group([(1,3)(5,7)(6,8)]);
# Design 2351: autom. group order 2, simple, derived
B[2351]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,6,7,10,13],[1,4,6,10,11,12],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,7,8,9,10,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,6,9,10,13],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[2351]:=Group([(1,3)(5,7)(6,8)]);
# Design 2352: autom. group order 2, simple, derived
B[2352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,6,11,12,13],[1,5,8,9,10,13],[1,6,7,8,9,11],[1,7,8,10,11,12],[2,3,7,8,10,12],[2,4,5,7,9,11],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,10,13],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[3,6,7,9,10,13],[4,5,7,9,10,12]];
G[2352]:=Group([(1,3)(5,7)(6,8)]);
# Design 2353: autom. group order 2, simple, derived
B[2353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,11],[1,4,6,10,11,12],[1,5,8,9,10,13],[1,6,7,8,9,12],[1,7,8,11,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,6,11,12,13],[3,6,7,9,10,13],[4,5,7,9,10,12]];
G[2353]:=Group([(1,3)(5,7)(6,8)]);
# Design 2354: autom. group order 2, simple, derived
B[2354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,6,11,12,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[1,7,8,9,10,13],[2,3,7,8,10,12],[2,4,5,7,9,11],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,10,13],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,6,9,10,13],[3,6,7,10,11,12],[4,5,7,9,10,12]];
G[2354]:=Group([(1,3)(5,7)(6,8)]);
# Design 2355: autom. group order 2, simple, derived
B[2355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,11],[1,4,6,10,11,12],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,7,8,9,10,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,6,9,10,13],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[2355]:=Group([(1,3)(5,7)(6,8)]);
# Design 2356: autom. group order 2, simple
B[2356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,7,8,9,12],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,6,9,11,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,7,10,13],[3,4,6,9,11,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,8,11,12],[4,5,7,9,10,11]];
G[2356]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2357: autom. group order 2, simple
B[2357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,7,8,10,12],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,6,9,11,12],[2,6,7,10,12,13],[3,4,5,9,10,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[3,6,7,8,11,12],[4,5,7,9,10,11]];
G[2357]:=Group([(2,13)(3,12)(6,8)(7,11)]);
# Design 2358: autom. group order 2, simple, derived
B[2358]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,8,11],[1,4,6,9,11,12],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,4,7,11,12,13],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,8,9,13],[3,4,6,8,10,12],[3,5,6,7,11,12],[3,5,8,9,10,11],[3,6,7,10,11,13],[4,5,9,10,12,13]];
G[2358]:=Group([(2,8)(3,7)(6,11)(10,13)]);
# Design 2359: autom. group order 2, simple
B[2359]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,11,13],[1,4,6,8,9,13],[1,4,7,9,11,12],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,7,8,11,13],[2,5,9,11,12,13],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,8,9,10],[3,6,7,10,11,13],[4,5,6,7,9,11]];
G[2359]:=Group([(1,9)(2,8)(3,6)(4,12)]);
# Design 2360: autom. group order 2, simple
B[2360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,11,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,7,8,9,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,5,9,10,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[3,6,7,8,9,12],[4,5,6,8,9,11]];
G[2360]:=Group([(2,13)(3,12)(4,6)(5,8)(7,10)]);
# Design 2361: autom. group order 2, simple, derived
B[2361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,9,12],[2,5,8,10,11,12],[2,6,7,8,11,13],[3,4,5,8,9,13],[3,4,6,7,11,12],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,9,10,13],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2361]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2362: autom. group order 2, simple
B[2362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,4,5,8,9,12],[2,4,6,8,11,13],[2,4,7,9,11,13],[2,5,7,10,11,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,7,11,12],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2362]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2363: autom. group order 2, simple, derived
B[2363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,6,7,11,12],[2,4,8,10,12,13],[2,5,7,8,11,13],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,7,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,10],[3,6,7,8,10,13],[4,5,6,8,9,11]];
G[2363]:=Group([(2,10)(3,11)(4,13)(8,12)]);
# Design 2364: autom. group order 2, simple
B[2364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,8,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,7,11,13],[1,6,8,9,10,11],[1,7,8,10,12,13],[2,3,6,8,11,12],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,7,8,11,12],[2,5,9,11,12,13],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,9,10],[3,6,7,10,11,12],[4,5,6,9,10,12]];
G[2364]:=Group([(1,9)(2,8)(3,6)(4,13)]);
# Design 2365: autom. group order 2, simple, derived
B[2365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,12,13],[1,4,5,10,11,12],[1,4,6,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,13],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,4,5,8,9,10],[2,4,6,8,11,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,10,11,12,13],[2,6,8,10,12,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,8,9,10,11],[4,5,6,7,9,12]];
G[2365]:=Group([(1,13)(3,12)(4,10)(5,8)(7,11)]);
# Design 2366: autom. group order 2, simple
B[2366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,10,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,11,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,7,8,9,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,5,7,9,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[3,6,8,9,10,12],[4,5,6,8,9,11]];
G[2366]:=Group([(2,13)(3,12)(4,6)(5,8)(7,10)]);
# Design 2367: autom. group order 2, simple
B[2367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,10],[1,4,5,7,9,11],[1,4,6,7,12,13],[1,4,8,9,11,12],[1,5,6,8,11,13],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,7,11,13],[2,4,5,9,11,13],[2,4,6,10,11,12],[2,4,7,8,10,13],[2,5,7,8,11,12],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,10,12,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,11,12,13],[3,6,7,9,10,11],[4,5,6,7,9,10]];
G[2367]:=Group([(1,8)(3,7)(5,10)(6,13)(9,12)]);
# Design 2368: autom. group order 2, simple, derived
B[2368]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,9,11,12,13],[1,5,6,7,8,11],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,8,9,10],[2,4,6,7,9,11],[2,4,7,8,10,13],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,9,10,12]];
G[2368]:=Group([(1,10)(2,11)(5,13)(8,12)]);
# Design 2369: autom. group order 2, simple
B[2369]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,8,9,10,12],[1,5,6,7,8,11],[1,6,8,10,11,13],[1,7,9,11,12,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,9,11],[2,4,7,8,10,13],[2,5,7,8,9,10],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,9,10,12]];
G[2369]:=Group([(1,10)(2,11)(5,13)(8,12)]);
# Design 2370: autom. group order 2, simple, derived
B[2370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,7,8,11],[1,4,6,8,9,13],[1,4,9,11,12,13],[1,5,6,7,11,12],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,8,9,10],[2,4,6,7,9,11],[2,4,7,10,12,13],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,9,10,12]];
G[2370]:=Group([(1,10)(2,11)(5,13)(8,12)]);
# Design 2371: autom. group order 2, simple
B[2371]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,9,12],[1,4,7,8,11,12],[1,5,6,8,11,13],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2371]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2372: autom. group order 2, simple
B[2372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,8,12],[1,4,7,9,11,12],[1,5,6,8,11,13],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2372]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2373: autom. group order 2, simple
B[2373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,9,12],[1,4,8,10,11,12],[1,5,6,8,11,13],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,6,7,8,13],[2,4,9,10,11,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,8,9,10,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2373]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2374: autom. group order 2, simple
B[2374]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,7,8,12],[1,4,9,10,11,12],[1,5,6,8,11,13],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,8,9,10,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2374]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2375: autom. group order 2, simple
B[2375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,7,8,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,8,9,10,12],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2375]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2376: autom. group order 2, simple
B[2376]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,4,8,9,10,12],[2,5,7,8,9,11],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,8,9,10,12],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2376]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2377: autom. group order 2, simple
B[2377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,7,8,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2377]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2378: autom. group order 2, simple
B[2378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,4,8,9,10,12],[2,5,7,8,9,11],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2378]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2379: autom. group order 2, simple
B[2379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,9,11,13],[1,4,7,8,11,12],[1,5,6,7,8,12],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,7,11,12,13],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2379]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2380: autom. group order 2, simple, derived
B[2380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,6,7,8,12],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,4,5,7,9,11],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,7,11,12,13],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,6,9,10,12]];
G[2380]:=Group([(1,13)(2,12)(6,11)(7,10)]);
# Design 2381: autom. group order 2, simple, derived
B[2381]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,11,12,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,11,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,8,9,12],[3,4,6,7,9,10],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,8,10,12,13],[4,5,6,9,10,13]];
G[2381]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 2382: autom. group order 2, simple, derived
B[2382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,7,8,9,10],[2,5,7,9,11,12],[2,6,7,9,11,13],[3,4,5,8,9,12],[3,4,6,7,9,10],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,8,11,12,13],[4,5,6,9,10,13]];
G[2382]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2383: autom. group order 2, simple
B[2383]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,7,8,9,11],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,8,9,12],[3,4,6,7,9,10],[3,4,7,10,11,12],[3,5,6,8,9,10],[3,5,7,10,12,13],[3,6,8,11,12,13],[4,5,6,9,11,13]];
G[2383]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2384: autom. group order 2, simple
B[2384]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,7,8,9,11],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,8,9,10],[3,4,6,7,9,12],[3,4,7,10,11,12],[3,5,6,8,9,10],[3,5,7,10,12,13],[3,6,8,11,12,13],[4,5,6,9,11,13]];
G[2384]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2385: autom. group order 2, simple, derived
B[2385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,9,11,12],[1,4,6,8,9,13],[1,4,7,11,12,13],[1,5,6,7,8,11],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,7,8,10],[2,4,6,7,9,11],[2,4,8,9,10,13],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,9,10,12]];
G[2385]:=Group([(1,10)(2,11)(5,13)(8,12)]);
# Design 2386: autom. group order 2, simple, derived
B[2386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,9,11,12],[1,4,6,8,9,13],[1,4,7,8,10,12],[1,5,6,7,8,11],[1,6,8,10,11,13],[1,7,9,11,12,13],[2,3,6,8,11,12],[2,4,5,7,11,13],[2,4,6,7,9,11],[2,4,8,9,10,13],[2,5,7,8,9,10],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,9,10,12]];
G[2386]:=Group([(1,10)(2,11)(5,13)(8,12)]);
# Design 2387: autom. group order 2, simple, derived
B[2387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,11],[1,4,6,8,9,13],[1,4,7,11,12,13],[1,5,6,7,11,12],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,7,8,10],[2,4,6,7,9,11],[2,4,9,10,12,13],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,9,10,12]];
G[2387]:=Group([(1,10)(2,11)(5,13)(8,12)]);
# Design 2388: autom. group order 2, simple, derived
B[2388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,7,9,13],[1,6,8,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,4,7,10,11,13],[2,5,7,8,9,12],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,5,7,9,10],[3,4,6,8,9,10],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,8,10,12,13],[3,6,7,10,12,13],[4,5,6,9,11,12]];
G[2388]:=Group([(1,13)(2,12)(4,10)(5,7)]);
# Design 2389: autom. group order 2, simple, derived
B[2389]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,7,9,12],[1,6,8,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,4,7,10,11,12],[2,5,7,8,9,13],[2,5,8,9,10,11],[2,6,7,9,10,13],[3,4,5,7,9,10],[3,4,6,8,9,10],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,8,10,12,13],[3,6,7,10,12,13],[4,5,6,9,11,12]];
G[2389]:=Group([(1,13)(2,12)(4,10)(6,8)]);
# Design 2390: autom. group order 2, simple, derived
B[2390]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,4,7,8,11,12],[1,5,6,7,9,12],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,7,8,9,13],[2,5,8,9,10,11],[2,6,7,10,11,13],[3,4,5,7,9,10],[3,4,6,8,9,10],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,8,10,12,13],[3,6,7,10,12,13],[4,5,6,9,11,12]];
G[2390]:=Group([(1,13)(2,12)(4,10)(6,8)]);
# Design 2391: autom. group order 2, simple
B[2391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,8,9,11],[1,6,7,9,11,12],[1,7,8,9,10,13],[2,3,6,7,8,11],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,9,10,11],[2,5,7,8,9,12],[2,5,10,11,12,13],[2,6,8,10,11,13],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,10,12],[3,6,8,9,12,13],[4,5,6,7,9,10]];
G[2391]:=Group([(1,11)(3,10)(4,13)(5,8)(7,12)]);
# Design 2392: autom. group order 2, simple
B[2392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,9,10],[2,4,7,8,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,9,10,11,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,8,10,13],[3,5,7,10,11,12],[3,6,7,8,9,10],[4,5,6,8,9,11]];
G[2392]:=Group([(1,6)(2,7)(3,9)(4,12)(8,11)]);
# Design 2393: autom. group order 2, simple
B[2393]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,4,5,8,9,12],[2,4,7,9,11,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,7,11,13],[3,4,6,8,11,12],[3,5,7,8,9,13],[3,5,7,10,11,12],[3,6,7,8,9,10],[4,5,6,9,10,12]];
G[2393]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2394: autom. group order 2, simple
B[2394]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,11,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,6,10,11,12,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,9,10,11],[2,4,7,8,11,12],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,10,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,10],[4,5,6,8,9,11]];
G[2394]:=Group([(1,6)(2,7)(3,9)(4,12)(8,11)]);
# Design 2395: autom. group order 2, simple
B[2395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,10,12,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,7,8,9,10],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2395]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2396: autom. group order 2, simple
B[2396]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,11,12,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,7,8,9,11],[4,5,6,9,10,11]];
G[2396]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2397: autom. group order 2, simple
B[2397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,7,8,9,10],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2397]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2398: autom. group order 2, simple
B[2398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,11,12,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,7,8,9,11],[4,5,6,9,10,11]];
G[2398]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2399: autom. group order 2, simple, derived
B[2399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,8,10,11,12],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,8,9,10,12],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2399]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2400: autom. group order 2, simple, derived
B[2400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,8,9,10,12],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2400]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2401: autom. group order 2, simple, derived
B[2401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,8,10,11,12],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2401]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2402: autom. group order 2, simple, derived
B[2402]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2402]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2403: autom. group order 2, simple
B[2403]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,8,9,13],[2,4,6,10,11,12],[2,5,7,9,10,13],[2,5,8,9,10,12],[2,6,7,8,11,12],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,6,8,10,12],[3,6,7,10,11,13],[4,5,7,8,9,11]];
G[2403]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2404: autom. group order 2, simple
B[2404]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,4,6,8,10,13],[2,5,7,8,9,10],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2404]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2405: autom. group order 2, simple
B[2405]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,6,11,12,13],[2,5,7,9,11,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2405]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2406: autom. group order 2, simple
B[2406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,10,11,12,13],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,4,6,8,10,13],[2,5,7,8,9,10],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2406]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2407: autom. group order 2, simple
B[2407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,8,10,11,12,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,6,11,12,13],[2,5,7,9,11,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2407]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2408: autom. group order 2, simple, derived
B[2408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,6,7,11,12],[2,4,6,8,10,13],[2,5,8,9,10,12],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2408]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2409: autom. group order 2, simple, derived
B[2409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,6,7,11,12],[2,4,6,8,10,13],[2,5,8,9,10,12],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,7,11,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2409]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2410: autom. group order 2, simple, derived
B[2410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,6,7,11,13],[2,5,7,9,11,12],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2410]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2411: autom. group order 2, simple, derived
B[2411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,6,7,11,13],[2,5,7,9,11,12],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,7,11,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2411]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2412: autom. group order 2, simple
B[2412]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,9,13],[1,4,6,7,12,13],[1,4,8,9,10,12],[1,5,6,8,11,13],[1,6,8,10,11,12],[1,7,9,10,11,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,10,11,12],[2,4,7,8,11,13],[2,5,6,9,11,13],[2,5,7,8,9,10],[2,6,7,8,9,12],[3,4,5,8,10,11],[3,4,6,7,9,11],[3,4,6,9,10,13],[3,5,6,8,9,12],[3,5,7,10,12,13],[3,6,7,8,10,13],[4,5,7,9,11,12]];
G[2412]:=Group([(1,8)(3,7)(5,13)(6,11)(10,12)]);
# Design 2413: autom. group order 2, simple
B[2413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,11,13],[3,4,5,8,9,13],[3,4,6,7,11,12],[3,4,6,10,11,12],[3,5,6,7,9,13],[3,5,8,10,11,13],[3,6,7,8,9,10],[4,5,7,9,10,12]];
G[2413]:=Group([(2,13)(3,12)(4,6)(5,8)(7,10)]);
# Design 2414: autom. group order 2, simple, derived
B[2414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,9,11,12,13],[1,7,8,10,12,13],[2,3,7,8,11,13],[2,4,5,11,12,13],[2,4,6,8,11,12],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,5,9,10,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,7,8,9,11]];
G[2414]:=Group([(2,13)(3,12)(4,7)(5,8)(6,10)]);
# Design 2415: autom. group order 2, simple, derived
B[2415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,6,11,12,13],[2,4,7,8,10,11],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,8,10,13],[3,4,6,9,10,12],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,7,9,10,12]];
G[2415]:=Group([(2,10)(3,11)(4,13)(8,12)]);
# Design 2416: autom. group order 2, simple, derived
B[2416]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,7,8,10,13],[2,4,5,9,11,12],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,8,9,11,13],[3,4,5,7,11,13],[3,4,6,9,10,12],[3,4,6,10,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,7,8,9,10]];
G[2416]:=Group([(2,10)(3,11)(4,13)(8,12)]);
# Design 2417: autom. group order 2, simple
B[2417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,10,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,8,10,11,13],[3,4,5,8,9,13],[3,4,6,7,11,12],[3,4,6,10,11,12],[3,5,6,7,9,13],[3,5,8,10,11,13],[3,6,7,8,9,10],[4,5,7,9,10,12]];
G[2417]:=Group([(2,13)(3,12)(4,6)(5,8)(7,10)]);
# Design 2418: autom. group order 2, simple
B[2418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,9,11],[1,4,6,7,8,10],[1,4,7,9,11,12],[1,5,6,8,11,13],[1,6,7,11,12,13],[1,8,9,10,12,13],[2,3,7,8,11,13],[2,4,5,10,11,12],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,5,6,7,9,11],[3,5,7,8,10,12],[3,6,8,10,11,12],[4,5,7,9,10,13]];
G[2418]:=Group([(1,11)(3,10)(5,8)(6,13)(7,12)]);
# Design 2419: autom. group order 2, simple
B[2419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,8,9,10,12],[2,6,7,9,11,12],[3,4,5,8,9,11],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2419]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2420: autom. group order 2, simple
B[2420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,8,9,10,12],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,6,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2420]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2421: autom. group order 2, simple, derived
B[2421]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,7,11,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,6,7,9,11,12],[1,7,8,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,6,10,11,13],[3,5,6,10,12,13],[3,5,8,9,11,12],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2421]:=Group([(1,3)(5,7)(6,8)]);
# Design 2422: autom. group order 2, simple, derived
B[2422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,7,11,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,6,7,10,12,13],[1,7,8,9,11,12],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,6,10,11,13],[3,5,6,9,11,12],[3,5,8,10,12,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2422]:=Group([(1,3)(5,7)(6,8)]);
# Design 2423: autom. group order 2, simple, derived
B[2423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,8,11,12,13],[1,5,6,8,9,11],[1,6,7,9,10,13],[1,7,8,10,11,12],[2,3,7,8,10,12],[2,4,5,7,9,11],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,10,13],[3,4,6,11,12,13],[3,5,6,10,11,12],[3,5,8,9,10,13],[3,6,7,8,9,11],[4,5,7,9,10,12]];
G[2423]:=Group([(1,3)(5,7)(6,8)]);
# Design 2424: autom. group order 2, simple, derived
B[2424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,11],[1,4,8,10,11,12],[1,5,6,8,9,12],[1,6,7,9,10,13],[1,7,8,11,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,5,6,11,12,13],[3,5,8,9,10,13],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2424]:=Group([(1,3)(5,7)(6,8)]);
# Design 2425: autom. group order 2, simple, derived
B[2425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,8,11,12,13],[1,5,6,8,9,11],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,7,8,10,12],[2,4,5,7,9,11],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,10,13],[3,4,6,11,12,13],[3,5,6,9,10,13],[3,5,8,10,11,12],[3,6,7,8,9,11],[4,5,7,9,10,12]];
G[2425]:=Group([(1,3)(5,7)(6,8)]);
# Design 2426: autom. group order 2, simple, derived
B[2426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,11],[1,4,8,10,11,12],[1,5,6,8,9,12],[1,6,7,11,12,13],[1,7,8,9,10,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,5,6,9,10,13],[3,5,8,11,12,13],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2426]:=Group([(1,3)(5,7)(6,8)]);
# Design 2427: autom. group order 2, simple
B[2427]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,11,12,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,11,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,8,9,11],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2427]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2428: autom. group order 2, simple
B[2428]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,7,11,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,6,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2428]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2429: autom. group order 2, simple, derived
B[2429]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,11,12,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,7,8,11,12],[2,4,5,7,9,11],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,8,11,12,13],[2,6,7,10,11,13],[3,4,5,8,10,11],[3,4,6,8,12,13],[3,4,6,10,11,13],[3,5,6,7,9,13],[3,5,8,9,10,12],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[2429]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 2430: autom. group order 2, simple
B[2430]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,10],[2,4,6,8,9,11],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,8,10,11,13],[2,6,7,11,12,13],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,6,10,12,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,9,10,11],[4,5,7,9,10,12]];
G[2430]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2431: autom. group order 2, simple
B[2431]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,10],[2,4,6,8,9,11],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,8,11,12,13],[2,6,7,10,11,13],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,6,10,12,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[2431]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2432: autom. group order 2, simple, derived
B[2432]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,11,12],[2,4,5,7,9,10],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,8,11,12,13],[2,6,7,10,11,13],[3,4,5,8,10,12],[3,4,6,8,10,13],[3,4,6,11,12,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2432]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2433: autom. group order 2, simple, derived
B[2433]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,11,12,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,7,8,11,12],[2,4,5,8,10,13],[2,4,6,7,11,13],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,8,9,12],[3,4,6,7,9,10],[3,4,6,10,11,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2433]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 2434: autom. group order 2, simple, derived
B[2434]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,10,12],[2,4,5,8,10,13],[2,4,6,8,9,11],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,11,12,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,6,10,12,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,8,10,11,13],[4,5,7,9,10,12]];
G[2434]:=Group([(2,8)(3,7)(5,13)(6,9)]);
# Design 2435: autom. group order 2, simple
B[2435]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,11,12],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,7,11,13],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,7,8,11,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,9,11,13],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,11,12],[3,5,7,8,10,12],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2435]:=Group([(1,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2436: autom. group order 2, simple
B[2436]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,8,11,12],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,7,11,13],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,11,12],[3,5,7,8,10,12],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2436]:=Group([(1,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2437: autom. group order 2, simple
B[2437]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,11,12,13],[2,4,8,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,12],[2,6,7,8,10,12],[3,4,5,6,10,12],[3,4,7,8,10,11],[3,4,7,10,12,13],[3,5,6,9,10,13],[3,5,7,8,9,13],[3,6,7,9,11,12],[4,5,6,8,9,11]];
G[2437]:=Group([(2,10)(3,11)(4,13)(6,7)]);
# Design 2438: autom. group order 2, simple
B[2438]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,11,12,13],[2,4,8,9,10,13],[2,5,7,9,11,13],[2,5,8,9,10,12],[2,6,7,8,10,12],[3,4,5,6,9,10],[3,4,7,8,10,11],[3,4,7,10,12,13],[3,5,6,10,12,13],[3,5,7,8,9,13],[3,6,7,9,11,12],[4,5,6,8,9,11]];
G[2438]:=Group([(2,10)(3,11)(4,13)(6,7)]);
# Design 2439: autom. group order 2, simple, derived
B[2439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,7,11,13],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,8,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,8,9,12],[2,4,7,9,11,12],[2,5,7,8,10,13],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,9,10,11]];
G[2439]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2440: autom. group order 2, simple, derived
B[2440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,7,11,12],[1,4,8,9,11,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,8,11,12],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,12],[3,6,7,9,11,13],[4,5,6,9,10,11]];
G[2440]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2441: autom. group order 2, simple, derived
B[2441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,7,11,13],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,8,11,13],[2,5,7,9,11,12],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2441]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2442: autom. group order 2, simple, derived
B[2442]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,9,12],[1,4,8,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,7,9,11,12],[2,5,7,8,11,12],[2,5,7,9,10,13],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,12],[3,6,7,9,11,13],[4,5,6,9,10,11]];
G[2442]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2443: autom. group order 2, simple, derived
B[2443]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,8,10,12,13],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,7,8,10,13],[2,5,7,9,11,12],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,9,10,11]];
G[2443]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2444: autom. group order 2, simple, derived
B[2444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,8,9,11,13],[1,6,7,8,11,12],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,10,13],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2444]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2445: autom. group order 2, simple, derived
B[2445]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,7,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2445]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2446: autom. group order 2, simple, derived
B[2446]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,8,9,10,13],[1,5,8,11,12,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,4,7,9,11,12],[2,5,7,8,10,12],[2,5,8,9,10,13],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2446]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2447: autom. group order 2, simple, derived
B[2447]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,8,11,13],[2,5,8,9,10,12],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2447]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2448: autom. group order 2, simple, derived
B[2448]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,8,11,13],[1,6,7,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,12],[2,4,7,9,11,12],[2,5,7,8,10,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2448]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2449: autom. group order 2, simple, derived
B[2449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,4,8,9,11,12],[1,5,8,9,10,13],[1,6,7,8,10,12],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,7,8,11,13],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2449]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2450: autom. group order 2, simple, derived
B[2450]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,7,8,11,12],[2,5,8,9,10,13],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2450]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2451: autom. group order 2, simple, derived
B[2451]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,7,9,11,13],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2451]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2452: autom. group order 2, simple, derived
B[2452]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,6,8,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,9,10,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,12],[3,6,7,9,11,13],[4,5,6,9,10,11]];
G[2452]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2453: autom. group order 2, simple, derived
B[2453]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,6,8,9,10,12],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,7,9,11,13],[2,5,7,10,12,13],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2453]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2454: autom. group order 2, simple, derived
B[2454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,8,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,5,7,11,12,13],[2,6,7,8,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,9,10,11]];
G[2454]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2455: autom. group order 2, simple, derived
B[2455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,11,12],[1,4,7,9,10,13],[1,5,8,9,11,12],[1,6,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,4,8,9,11,12],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2455]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2456: autom. group order 2, simple, derived
B[2456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,7,11,12],[1,4,7,9,11,13],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2456]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2457: autom. group order 2, simple, derived
B[2457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,11,13],[1,4,7,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2457]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2458: autom. group order 2, simple, derived
B[2458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,13],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2458]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2459: autom. group order 2, simple, derived
B[2459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,9,12],[1,4,7,9,11,13],[1,5,8,9,10,13],[1,6,7,8,10,13],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,6,7,9,11,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2459]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2460: autom. group order 2, simple, derived
B[2460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,5,7,9,10,13],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,9,10,11]];
G[2460]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2461: autom. group order 2, simple, derived
B[2461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,5,7,9,10,13],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2461]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2462: autom. group order 2, simple, derived
B[2462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,9,11,13],[1,6,7,8,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,13],[2,4,7,9,10,12],[2,5,7,8,10,13],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2462]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2463: autom. group order 2, simple, derived
B[2463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,11,12],[1,4,8,9,10,12],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,4,7,9,11,13],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,6,8,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2463]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2464: autom. group order 2, simple, derived
B[2464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,12],[2,4,7,9,10,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2464]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2465: autom. group order 2, simple, derived
B[2465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,11,13],[1,4,8,9,10,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,7,9,12],[2,4,7,9,11,12],[2,5,7,8,11,13],[2,5,7,9,10,13],[2,6,8,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2465]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2466: autom. group order 2, simple, derived
B[2466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,8,9,11,12],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,13],[2,4,6,7,11,12],[2,4,7,9,10,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2466]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2467: autom. group order 2, simple, derived
B[2467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,8,9,11,13],[1,5,7,11,12,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,11,12],[2,4,7,9,10,12],[2,5,7,8,10,13],[2,5,7,9,11,13],[2,6,8,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2467]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2468: autom. group order 2, simple, derived
B[2468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,7,9,11,13],[2,5,7,8,11,12],[2,5,7,9,10,13],[2,6,8,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2468]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2469: autom. group order 2, simple, derived
B[2469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,4,8,9,10,13],[1,5,7,8,11,13],[1,6,7,9,11,12],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,13],[2,4,7,9,11,12],[2,5,7,10,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2469]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2470: autom. group order 2, simple, derived
B[2470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,6,7,11,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,12],[2,4,7,9,11,13],[2,5,7,9,10,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,9,10,11]];
G[2470]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2471: autom. group order 2, simple, derived
B[2471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,11,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,6,7,9,12],[2,4,7,9,11,12],[2,5,7,9,10,13],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2471]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2472: autom. group order 2, simple, derived
B[2472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,9,12],[1,4,8,9,10,13],[1,5,7,8,11,13],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,4,7,9,11,12],[2,5,7,11,12,13],[2,5,8,9,10,12],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2472]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2473: autom. group order 2, simple, derived
B[2473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,9,13],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,11,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2473]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2474: autom. group order 2, simple, derived
B[2474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,9,10,11]];
G[2474]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2475: autom. group order 2, simple, derived
B[2475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2475]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2476: autom. group order 2, simple, derived
B[2476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,10,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,7,10,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,7,9,11,12],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2476]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2477: autom. group order 2, simple, derived
B[2477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,12],[2,4,8,9,11,12],[2,5,7,11,12,13],[2,5,8,9,10,12],[2,6,7,8,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[2477]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2478: autom. group order 2, simple, derived
B[2478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,12],[2,6,7,8,11,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[2478]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2479: autom. group order 2, simple, derived
B[2479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,6,7,11,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,7,9,11,12],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,9,10,11]];
G[2479]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2480: autom. group order 2, simple, derived
B[2480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,8,9,11,13],[1,6,7,8,11,12],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,10,13],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2480]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2481: autom. group order 2, simple, derived
B[2481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2481]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2482: autom. group order 2, simple, derived
B[2482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,4,7,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,11,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,5,8,9,10,12],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[2482]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2483: autom. group order 2, simple, derived
B[2483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,11,12],[1,6,7,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,8,10,13],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2483]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2484: autom. group order 2, simple, derived
B[2484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,4,7,9,11,12],[1,5,8,11,12,13],[1,6,7,8,11,13],[1,6,7,9,10,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[2484]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2485: autom. group order 2, simple, derived
B[2485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,12],[2,4,8,9,10,12],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,9,10,11]];
G[2485]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2486: autom. group order 2, simple
B[2486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,4,5,8,10,13],[2,4,6,8,11,12],[2,4,7,10,11,12],[2,5,7,8,9,11],[2,5,7,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,11,13],[3,4,7,8,9,10],[3,5,6,7,11,12],[3,5,6,8,9,10],[3,7,8,10,12,13],[4,5,6,9,10,12]];
G[2486]:=Group([(2,10)(3,11)(4,13)(6,7)]);
# Design 2487: autom. group order 2, simple, derived
B[2487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,7,11,12],[1,4,8,9,11,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,8,11,12],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,7,11,13],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2487]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2488: autom. group order 2, simple, derived
B[2488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,4,7,9,10,12],[2,5,7,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2488]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2489: autom. group order 2, simple, derived
B[2489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,7,8,11,12],[2,5,8,9,10,13],[2,6,7,11,12,13],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2489]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2490: autom. group order 2, simple, derived
B[2490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,7,10,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,6,8,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,9,10,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,7,11,13],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2490]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2491: autom. group order 2, simple, derived
B[2491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,8,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,5,7,11,12,13],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2491]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2492: autom. group order 2, simple, derived
B[2492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,7,11,12],[1,4,7,9,11,13],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,6,8,11,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2492]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2493: autom. group order 2, simple, derived
B[2493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,8,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,13],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,6,7,9,10,13],[3,4,5,7,11,13],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2493]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2494: autom. group order 2, simple, derived
B[2494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,5,7,9,10,13],[2,6,7,10,12,13],[3,4,5,7,11,12],[3,4,6,8,10,13],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2494]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2495: autom. group order 2, simple, derived
B[2495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,4,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,5,7,9,10,13],[2,6,7,11,12,13],[3,4,5,7,11,13],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2495]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2496: autom. group order 2, simple, derived
B[2496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,9,11,13],[1,6,7,8,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,6,7,9,13],[2,4,7,9,10,12],[2,5,7,8,10,13],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2496]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2497: autom. group order 2, simple, derived
B[2497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,12],[1,4,6,7,9,13],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,11,12],[3,4,5,7,11,13],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2497]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2498: autom. group order 2, simple, derived
B[2498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,12],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2498]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2499: autom. group order 2, simple, derived
B[2499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,12],[2,4,8,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,12],[2,6,7,8,11,12],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2499]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2500: autom. group order 2, simple, derived
B[2500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,6,7,9,12],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,8,11,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2500]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2501: autom. group order 2, simple, derived
B[2501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,4,7,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,11,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,5,8,9,10,12],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,8,11,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2501]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2502: autom. group order 2, simple, derived
B[2502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,11,12],[1,6,7,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,6,7,11,12],[2,4,8,9,10,12],[2,5,7,8,10,13],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,7,11,13],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,12,13],[3,7,8,9,10,11],[4,5,6,9,10,11]];
G[2502]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 2503: autom. group order 2, simple, derived
B[2503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,7,11,12],[1,4,5,8,11,13],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,10,11,12,13],[2,3,6,8,12,13],[2,4,5,9,10,13],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,6,11,13],[3,4,6,8,10,12],[3,4,7,10,11,12],[3,5,7,8,9,13],[3,5,8,9,10,11],[3,6,7,9,10,13],[4,5,6,7,9,12]];
G[2503]:=Group([(2,13)(3,12)(4,10)(6,8)(7,11)]);
# Design 2504: autom. group order 2, simple, derived
B[2504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,7,9,11,12],[2,4,8,10,12,13],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,6,10,12],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,5,7,8,9,10],[3,5,7,9,12,13],[3,6,8,9,10,13],[4,5,6,8,9,11]];
G[2504]:=Group([(2,10)(3,11)(4,13)(6,7)(8,12)]);
# Design 2505: autom. group order 2, simple
B[2505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,9,11,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,6,10,13],[3,4,6,8,11,12],[3,4,8,10,12,13],[3,5,7,9,10,12],[3,5,8,9,10,11],[3,6,7,9,11,13],[4,5,6,7,9,12]];
G[2505]:=Group([(2,13)(3,12)(4,11)(6,8)(7,10)]);
# Design 2506: autom. group order 2, simple
B[2506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,7,8,10],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,8,9,13],[3,4,6,8,11,12],[3,4,6,10,12,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[3,7,10,11,12,13],[4,5,6,7,9,10]];
G[2506]:=Group([(2,8)(3,7)(5,13)(6,10)(9,12)]);
# Design 2507: autom. group order 2, simple
B[2507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,11,12,13],[2,4,5,6,8,9],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,7,8,9,11],[2,5,7,9,10,13],[2,6,7,10,11,12],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,6,8,12,13],[3,6,8,9,10,11],[4,5,9,11,12,13]];
G[2507]:=Group([(2,8)(3,7)(5,13)(6,10)(9,12)]);
# Design 2508: autom. group order 2, simple, derived
B[2508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,9,13],[1,4,6,8,9,12],[1,4,8,10,12,13],[1,5,8,10,11,13],[1,6,7,9,10,11],[1,6,7,11,12,13],[2,3,7,10,12,13],[2,4,5,7,11,12],[2,4,6,8,10,11],[2,4,6,11,12,13],[2,5,6,8,9,13],[2,5,8,9,10,12],[2,7,8,9,11,13],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2508]:=Group([(1,8)(2,7)(5,11)(6,9)(10,13)]);
# Design 2509: autom. group order 2, simple, derived
B[2509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,4,7,8,9,10],[1,5,8,10,12,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,8,11,12],[2,4,6,10,11,13],[2,5,7,8,9,11],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,6,7,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,6,9,10,11],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2509]:=Group([(1,5)(2,6)(8,12)]);
# Design 2510: autom. group order 2, simple, derived
B[2510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,4,7,8,9,10],[1,5,8,10,12,13],[1,6,7,9,11,12],[1,6,7,11,12,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,8,11,12],[2,4,6,10,11,13],[2,5,7,8,9,11],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,6,7,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,6,9,10,11],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2510]:=Group([(1,5)(2,6)(8,12)]);
# Design 2511: autom. group order 2, simple
B[2511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,4,7,8,11,12],[2,5,6,8,9,11],[2,5,6,9,12,13],[2,7,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,5,6,7,11,12],[3,5,7,8,9,10],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2511]:=Group([(2,10)(3,11)(4,13)(6,7)]);
# Design 2512: autom. group order 2, simple
B[2512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,13],[1,4,5,7,10,11],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,7,12,13],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,6,8,9,13],[2,7,8,9,11,12],[3,4,5,9,11,12],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2512]:=Group([(2,13)(3,12)(4,11)(6,8)(7,10)]);
# Design 2513: autom. group order 2, simple
B[2513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,7,9,13],[1,4,6,11,12,13],[1,4,7,10,11,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,6,8,9,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,11],[2,6,7,8,11,13],[3,4,5,6,8,10],[3,4,6,7,11,12],[3,4,8,9,10,13],[3,5,6,9,11,13],[3,5,7,8,12,13],[3,6,7,9,10,11],[4,5,7,9,10,12]];
G[2513]:=Group([(1,12)(2,4)(3,11)(6,9)(7,10)]);
# Design 2514: autom. group order 2, simple
B[2514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,9,10,13],[1,4,6,11,12,13],[1,4,7,10,11,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,6,8,9,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,6,8,10],[3,4,6,7,11,12],[3,4,7,8,9,13],[3,5,6,9,11,13],[3,5,8,10,12,13],[3,6,7,9,10,11],[4,5,7,9,10,12]];
G[2514]:=Group([(1,12)(2,4)(3,11)(6,9)(7,10)]);
# Design 2515: autom. group order 2, simple
B[2515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,9,11,12],[1,4,6,8,10,11],[1,4,7,11,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,8,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,11,12,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,6,8,12],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2515]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2516: autom. group order 2, simple
B[2516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,12,13],[1,4,5,8,9,12],[1,4,6,8,10,11],[1,4,7,10,11,13],[1,5,7,11,12,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,8,9,13],[2,4,6,11,12,13],[2,4,9,10,11,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,6,11,12],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2516]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2517: autom. group order 2, simple
B[2517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,8,9,11],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,6,11,12],[3,4,6,7,9,13],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,8,10,11,12],[4,5,7,8,9,10]];
G[2517]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2518: autom. group order 2, simple
B[2518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,11,12,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,8,9,11],[2,4,6,8,11,12],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,8,10,11,12],[4,5,7,8,9,10]];
G[2518]:=Group([(1,7)(2,6)(3,9)(4,12)(5,10)]);
# Design 2519: autom. group order 2, simple
B[2519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,10,12],[1,4,5,9,11,13],[1,4,6,8,9,11],[1,4,7,8,10,13],[1,5,7,11,12,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,9,12],[3,4,5,6,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[3,6,7,10,11,13],[4,5,8,9,10,12]];
G[2519]:=Group([(1,11)(3,10)(5,13)(6,8)(7,12)]);
# Design 2520: autom. group order 2, simple
B[2520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,10,12],[2,4,6,7,11,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,9,10,13],[2,6,7,9,11,12],[3,4,5,6,9,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,7,8,9,11],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2520]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2521: autom. group order 2, simple
B[2521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,5,7,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,8,11,12],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,10,13],[2,6,7,9,11,13],[3,4,5,6,9,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,7,8,9,11],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2521]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2522: autom. group order 2, simple
B[2522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,8,10,12],[1,6,7,9,11,12],[1,6,8,10,11,13],[2,3,7,8,11,13],[2,4,5,8,10,11],[2,4,6,7,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,6,11,12],[3,4,6,8,9,10],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,8,9,11,12],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2522]:=Group([(1,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2523: autom. group order 2, simple
B[2523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,13],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,8,10,12],[1,6,7,9,11,12],[1,6,8,10,11,13],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,7,9,12,13],[3,4,5,6,11,12],[3,4,6,8,9,10],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,8,9,11,12],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[2523]:=Group([(1,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2524: autom. group order 2, simple
B[2524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,9,10,11],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,5,6,8,11],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,10,12,13],[3,6,8,9,10,11],[4,5,9,11,12,13]];
G[2524]:=Group([(2,8)(3,7)(5,13)(6,10)(9,12)]);
# Design 2525: autom. group order 2, simple
B[2525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,11,12,13],[2,4,5,8,9,10],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,5,6,8,11],[3,4,6,7,9,12],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,10,12,13],[3,6,8,9,10,11],[4,5,9,11,12,13]];
G[2525]:=Group([(2,8)(3,7)(5,13)(6,10)(9,12)]);
# Design 2526: autom. group order 2, simple, derived
B[2526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,6,7,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,6,11,12],[3,4,6,7,9,10],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,8,10,12,13],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[2526]:=Group([(1,3)(5,7)(6,8)]);
# Design 2527: autom. group order 2, simple, derived
B[2527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[1,6,7,9,11,12],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,6,11,12],[3,4,6,7,9,10],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,8,9,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2527]:=Group([(1,3)(5,7)(6,8)]);
# Design 2528: autom. group order 2, simple, derived
B[2528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,6,10,11,12],[1,4,7,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,6,10,13],[3,4,6,7,9,11],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,8,9,10,13],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[2528]:=Group([(1,3)(5,7)(6,8)]);
# Design 2529: autom. group order 2, simple, derived
B[2529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,4,7,8,9,12],[1,5,8,9,10,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[2,3,7,8,10,12],[2,4,5,7,9,11],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,12,13],[3,4,5,6,9,12],[3,4,6,7,10,13],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[3,6,7,9,10,13],[4,5,7,9,10,12]];
G[2529]:=Group([(1,3)(5,7)(6,8)]);
# Design 2530: autom. group order 2, simple, derived
B[2530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,4,7,8,9,12],[1,5,8,10,11,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,4,5,7,9,11],[2,4,6,8,10,11],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,12,13],[3,4,5,6,9,12],[3,4,6,7,10,13],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,8,9,10,13],[3,6,7,10,11,12],[4,5,7,9,10,12]];
G[2530]:=Group([(1,3)(5,7)(6,8)]);
# Design 2531: autom. group order 2, simple, derived
B[2531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,4,7,8,9,11],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,4,9,11,12,13],[2,5,6,7,8,11],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,6,9,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,8,9,10,13],[3,6,7,11,12,13],[4,5,7,9,10,12]];
G[2531]:=Group([(1,3)(5,7)(6,8)]);
# Design 2532: autom. group order 2, simple
B[2532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,7,11,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,8,10,11],[3,4,6,10,12,13],[3,5,6,7,9,11],[3,5,6,8,9,13],[3,7,8,9,10,13],[4,5,7,9,11,12]];
G[2532]:=Group([(2,10)(3,11)(4,13)(6,7)(8,12)]);
# Design 2533: autom. group order 2, simple
B[2533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,7,8,9,10],[1,4,10,11,12,13],[1,5,6,7,10,13],[1,6,7,8,12,13],[1,6,8,9,11,12],[2,3,7,8,10,12],[2,4,5,8,10,13],[2,4,6,7,11,12],[2,4,6,8,11,13],[2,5,7,9,11,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,6,9,12],[3,4,6,7,9,13],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[3,6,8,9,10,13],[4,5,7,9,10,12]];
G[2533]:=Group([(1,3)(5,7)(6,8)(10,12)(11,13)]);
# Design 2534: autom. group order 2, simple
B[2534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,7,8,9,10],[1,4,10,11,12,13],[1,5,6,7,10,13],[1,6,7,8,12,13],[1,6,8,9,11,12],[2,3,7,8,10,12],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,7,9,11,13],[2,5,8,9,10,13],[2,6,7,9,11,12],[3,4,5,6,9,12],[3,4,6,7,9,13],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[3,6,8,9,10,13],[4,5,7,9,10,12]];
G[2534]:=Group([(1,3)(5,7)(6,8)(10,12)(11,13)]);
# Design 2535: autom. group order 2, simple, derived
B[2535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,11,12],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,13],[3,6,7,9,10,11],[4,5,7,9,11,13]];
G[2535]:=Group([(2,3)(10,12)(11,13)]);
# Design 2536: autom. group order 2, simple, derived
B[2536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,12],[3,6,7,9,10,11],[4,5,7,9,11,12]];
G[2536]:=Group([(2,3)(10,13)(11,12)]);
# Design 2537: autom. group order 2, simple, derived
B[2537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2537]:=Group([(2,3)(10,13)(11,12)]);
# Design 2538: autom. group order 2, simple, derived
B[2538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,12],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2538]:=Group([(2,3)(10,13)(11,12)]);
# Design 2539: autom. group order 2, simple, derived
B[2539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,6,7,11,12],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,10,11],[4,5,7,9,11,13]];
G[2539]:=Group([(2,3)(10,12)(11,13)]);
# Design 2540: autom. group order 2, simple, derived
B[2540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,9,10,11],[4,5,7,9,11,12]];
G[2540]:=Group([(2,3)(10,13)(11,12)]);
# Design 2541: autom. group order 2, simple, derived
B[2541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2541]:=Group([(2,3)(10,13)(11,12)]);
# Design 2542: autom. group order 2, simple, derived
B[2542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,12,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2542]:=Group([(2,3)(10,13)(11,12)]);
# Design 2543: autom. group order 2, simple, derived
B[2543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,6,7,11,12],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,7,9,11,13]];
G[2543]:=Group([(2,3)(10,12)(11,13)]);
# Design 2544: autom. group order 2, simple, derived
B[2544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,11,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[3,6,7,9,10,11],[4,5,7,9,11,12]];
G[2544]:=Group([(2,3)(10,13)(11,12)]);
# Design 2545: autom. group order 2, simple, derived
B[2545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2545]:=Group([(2,3)(10,13)(11,12)]);
# Design 2546: autom. group order 2, simple, derived
B[2546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,12,13],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2546]:=Group([(2,3)(10,13)(11,12)]);
# Design 2547: autom. group order 2, simple, derived
B[2547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,6,7,11,12],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,12,13],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2547]:=Group([(2,3)(10,12)(11,13)]);
# Design 2548: autom. group order 2, simple, derived
B[2548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,10,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,13],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2548]:=Group([(2,3)(10,12)(11,13)]);
# Design 2549: autom. group order 2, simple, derived
B[2549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,11,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,11,13],[4,5,7,9,11,12]];
G[2549]:=Group([(2,3)(10,13)(11,12)]);
# Design 2550: autom. group order 2, simple, derived
B[2550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,11],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,12],[3,6,7,9,11,13],[4,5,7,9,11,12]];
G[2550]:=Group([(2,3)(10,13)(11,12)]);
# Design 2551: autom. group order 2, simple, derived
B[2551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,12],[2,4,6,7,11,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,10,11],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2551]:=Group([(2,3)(10,13)(11,12)]);
# Design 2552: autom. group order 2, simple, derived
B[2552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2552]:=Group([(2,3)(10,13)(11,12)]);
# Design 2553: autom. group order 2, simple, derived
B[2553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,5,9,10,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,9,10,11],[4,5,7,9,11,12]];
G[2553]:=Group([(2,3)(10,13)(11,12)]);
# Design 2554: autom. group order 2, simple, derived
B[2554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,9,10,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2554]:=Group([(2,3)(10,13)(11,12)]);
# Design 2555: autom. group order 2, simple, derived
B[2555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,9,11,13],[3,4,5,9,10,11],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2555]:=Group([(2,3)(10,13)(11,12)]);
# Design 2556: autom. group order 2, simple, derived
B[2556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,11,12],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,13],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2556]:=Group([(2,3)(10,12)(11,13)]);
# Design 2557: autom. group order 2, simple, derived
B[2557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,6,7,12,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,11,13],[4,5,7,9,11,12]];
G[2557]:=Group([(2,3)(10,13)(11,12)]);
# Design 2558: autom. group order 2, simple, derived
B[2558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,10,11],[3,4,5,9,10,12],[3,4,6,7,11,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2558]:=Group([(2,3)(10,13)(11,12)]);
# Design 2559: autom. group order 2, simple, derived
B[2559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,7,11,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2559]:=Group([(2,3)(10,13)(11,12)]);
# Design 2560: autom. group order 2, simple, derived
B[2560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,5,9,10,12],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,12,13],[3,6,7,9,10,11],[4,5,7,9,11,12]];
G[2560]:=Group([(2,3)(10,13)(11,12)]);
# Design 2561: autom. group order 2, simple, derived
B[2561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,12],[3,4,6,7,10,11],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,12,13],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2561]:=Group([(2,3)(10,13)(11,12)]);
# Design 2562: autom. group order 2, simple, derived
B[2562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,12,13],[3,6,7,9,10,12],[4,5,7,9,11,12]];
G[2562]:=Group([(2,3)(10,13)(11,12)]);
# Design 2563: autom. group order 2, simple, derived
B[2563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2563]:=Group([(2,3)(10,12)(11,13)]);
# Design 2564: autom. group order 2, simple, derived
B[2564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,12,13],[2,6,7,9,10,11],[3,4,5,9,10,12],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2564]:=Group([(2,3)(10,13)(11,12)]);
# Design 2565: autom. group order 2, simple, derived
B[2565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,12],[3,4,6,7,10,11],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2565]:=Group([(2,3)(10,13)(11,12)]);
# Design 2566: autom. group order 2, simple, derived
B[2566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2566]:=Group([(2,3)(10,13)(11,12)]);
# Design 2567: autom. group order 2, simple, derived
B[2567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,10,13],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2567]:=Group([(2,3)(10,12)(11,13)]);
# Design 2568: autom. group order 2, simple, derived
B[2568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,12,13],[3,6,7,9,11,13],[4,5,7,9,11,12]];
G[2568]:=Group([(2,3)(10,13)(11,12)]);
# Design 2569: autom. group order 2, simple, derived
B[2569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,5,9,10,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2569]:=Group([(2,3)(10,13)(11,12)]);
# Design 2570: autom. group order 2, simple, derived
B[2570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,8,10,12,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[3,6,7,9,12,13],[4,5,7,9,11,12]];
G[2570]:=Group([(2,3)(10,13)(11,12)]);
# Design 2571: autom. group order 2, simple, derived
B[2571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,12,13],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,12],[3,6,7,8,10,11],[4,5,7,9,10,13]];
G[2571]:=Group([(2,3)(10,13)(11,12)]);
# Design 2572: autom. group order 2, simple, derived
B[2572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2572]:=Group([(2,3)(10,13)(11,12)]);
# Design 2573: autom. group order 2, simple, derived
B[2573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2573]:=Group([(2,3)(10,13)(11,12)]);
# Design 2574: autom. group order 2, simple, derived
B[2574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2574]:=Group([(2,3)(10,12)(11,13)]);
# Design 2575: autom. group order 2, simple, derived
B[2575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2575]:=Group([(2,3)(10,12)(11,13)]);
# Design 2576: autom. group order 2, simple, derived
B[2576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,10,13],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,11,12],[3,4,5,8,11,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2576]:=Group([(2,3)(10,12)(11,13)]);
# Design 2577: autom. group order 2, simple, derived
B[2577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,12,13],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2577]:=Group([(2,3)(10,13)(11,12)]);
# Design 2578: autom. group order 2, simple, derived
B[2578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2578]:=Group([(2,3)(10,13)(11,12)]);
# Design 2579: autom. group order 2, simple, derived
B[2579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,8,12,13],[3,4,5,8,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,10,11],[4,5,7,9,10,13]];
G[2579]:=Group([(2,3)(10,13)(11,12)]);
# Design 2580: autom. group order 2, simple, derived
B[2580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2580]:=Group([(2,3)(10,13)(11,12)]);
# Design 2581: autom. group order 2, simple, derived
B[2581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,10,11],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,12,13],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2581]:=Group([(2,3)(10,13)(11,12)]);
# Design 2582: autom. group order 2, simple, derived
B[2582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,10,13],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,11,12],[4,5,7,9,10,12]];
G[2582]:=Group([(2,3)(10,12)(11,13)]);
# Design 2583: autom. group order 2, simple, derived
B[2583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,10,13],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,11,12],[3,4,6,9,10,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,7,9,10,12]];
G[2583]:=Group([(2,3)(10,12)(11,13)]);
# Design 2584: autom. group order 2, simple, derived
B[2584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,11,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,11,13],[4,5,7,9,10,13]];
G[2584]:=Group([(2,3)(10,13)(11,12)]);
# Design 2585: autom. group order 2, simple, derived
B[2585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,11],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,12],[3,6,7,8,11,13],[4,5,7,9,10,13]];
G[2585]:=Group([(2,3)(10,13)(11,12)]);
# Design 2586: autom. group order 2, simple, derived
B[2586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2586]:=Group([(2,3)(10,13)(11,12)]);
# Design 2587: autom. group order 2, simple, derived
B[2587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,12],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2587]:=Group([(2,3)(10,13)(11,12)]);
# Design 2588: autom. group order 2, simple, derived
B[2588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,11,13],[4,5,7,9,10,13]];
G[2588]:=Group([(2,3)(10,13)(11,12)]);
# Design 2589: autom. group order 2, simple, derived
B[2589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2589]:=Group([(2,3)(10,13)(11,12)]);
# Design 2590: autom. group order 2, simple, derived
B[2590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,12],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2590]:=Group([(2,3)(10,13)(11,12)]);
# Design 2591: autom. group order 2, simple, derived
B[2591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,11,13],[3,4,5,8,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2591]:=Group([(2,3)(10,13)(11,12)]);
# Design 2592: autom. group order 2, simple, derived
B[2592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,11,13],[3,4,5,8,10,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[3,6,7,8,10,12],[4,5,7,9,10,13]];
G[2592]:=Group([(2,3)(10,13)(11,12)]);
# Design 2593: autom. group order 2, simple, derived
B[2593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,11,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,12,13],[2,6,7,8,10,13],[3,4,5,8,10,13],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,7,8,11,12],[4,5,7,9,10,12]];
G[2593]:=Group([(2,3)(10,12)(11,13)]);
# Design 2594: autom. group order 2, simple, derived
B[2594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,11,12],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,7,9,10,12]];
G[2594]:=Group([(2,3)(10,12)(11,13)]);
# Design 2595: autom. group order 2, simple, derived
B[2595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,7,8,9],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,6,10,11,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,7,9,10,12]];
G[2595]:=Group([(2,3)(10,12)(11,13)]);
# Design 2596: autom. group order 2, simple, derived
B[2596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2596]:=Group([(2,3)(10,13)(11,12)]);
# Design 2597: autom. group order 2, simple, derived
B[2597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2597]:=Group([(2,3)(10,13)(11,12)]);
# Design 2598: autom. group order 2, simple, derived
B[2598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2598]:=Group([(2,3)(10,13)(11,12)]);
# Design 2599: autom. group order 2, simple, derived
B[2599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,12,13],[3,6,7,8,11,13],[4,5,7,9,10,13]];
G[2599]:=Group([(2,3)(10,13)(11,12)]);
# Design 2600: autom. group order 2, simple, derived
B[2600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2600]:=Group([(2,3)(10,13)(11,12)]);
# Design 2601: autom. group order 2, simple, derived
B[2601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,13],[1,4,6,7,8,9],[1,4,8,9,11,12],[1,5,6,8,11,12],[1,6,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,12,13],[4,5,7,9,10,13]];
G[2601]:=Group([(2,3)(10,13)(11,12)]);
# Design 2602: autom. group order 2, simple
B[2602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,8,13],[1,4,5,6,10,13],[1,4,6,8,9,11],[1,4,8,9,10,12],[1,5,6,7,11,12],[1,6,8,11,12,13],[1,7,9,10,11,13],[2,3,6,10,11,12],[2,4,5,9,11,13],[2,4,6,7,9,13],[2,4,7,8,11,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[3,6,7,8,9,10],[4,5,7,9,10,12]];
G[2602]:=Group([(1,12)(2,13)(5,11)(6,7)(8,10)]);
# Design 2603: autom. group order 2, simple
B[2603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,6,8,9,10],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2603]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2604: autom. group order 2, simple
B[2604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,6,8,9,10],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2604]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2605: autom. group order 2, simple, derived
B[2605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,11,12,13],[2,5,6,8,9,10],[2,5,7,9,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2605]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2606: autom. group order 2, simple, derived
B[2606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,8,11,12,13],[2,5,6,8,9,10],[2,5,7,9,11,13],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2606]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2607: autom. group order 2, simple, derived
B[2607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2607]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2608: autom. group order 2, simple
B[2608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2608]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2609: autom. group order 2, simple, derived
B[2609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2609]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2610: autom. group order 2, simple
B[2610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,9,11,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2610]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2611: autom. group order 2, simple
B[2611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,11,12,13],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2611]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2612: autom. group order 2, simple
B[2612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,11,12,13],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2612]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2613: autom. group order 2, simple
B[2613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2613]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2614: autom. group order 2, simple
B[2614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2614]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2615: autom. group order 2, simple, derived
B[2615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2615]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2616: autom. group order 2, simple
B[2616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2616]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2617: autom. group order 2, simple, derived
B[2617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2617]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2618: autom. group order 2, simple
B[2618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2618]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2619: autom. group order 2, simple
B[2619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,9,10],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2619]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2620: autom. group order 2, simple
B[2620]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,9,10],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2620]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2621: autom. group order 2, simple
B[2621]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2621]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2622: autom. group order 2, simple
B[2622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2622]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2623: autom. group order 2, simple
B[2623]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2623]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2624: autom. group order 2, simple
B[2624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2624]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2625: autom. group order 2, simple
B[2625]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2625]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2626: autom. group order 2, simple
B[2626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,9,10,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2626]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2627: autom. group order 2, simple
B[2627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2627]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2628: autom. group order 2, simple
B[2628]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2628]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2629: autom. group order 2, simple
B[2629]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2629]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2630: autom. group order 2, simple
B[2630]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2630]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2631: autom. group order 2, simple, derived
B[2631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[2631]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2632: autom. group order 2, simple
B[2632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2632]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2633: autom. group order 2, simple, derived
B[2633]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[2633]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2634: autom. group order 2, simple
B[2634]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,9,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,8,9,11],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2634]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2635: autom. group order 2, simple
B[2635]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,11,12,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,6,7,8,9,10],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2635]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2636: autom. group order 2, simple
B[2636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,11,12,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,6,7,8,9,10],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2636]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2637: autom. group order 2, simple, derived
B[2637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,6,7,9,10,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2637]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2638: autom. group order 2, simple, derived
B[2638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2638]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2639: autom. group order 2, simple, derived
B[2639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2639]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2640: autom. group order 2, simple, derived
B[2640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2640]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2641: autom. group order 2, simple
B[2641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2641]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2642: autom. group order 2, simple
B[2642]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,6,7,8,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,9,10,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2642]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2643: autom. group order 2, simple
B[2643]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2643]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2644: autom. group order 2, simple
B[2644]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2644]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2645: autom. group order 2, simple
B[2645]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2645]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2646: autom. group order 2, simple
B[2646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2646]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2647: autom. group order 2, simple
B[2647]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2647]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2648: autom. group order 2, simple, derived
B[2648]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2648]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2649: autom. group order 2, simple
B[2649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2649]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2650: autom. group order 2, simple, derived
B[2650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,8,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2650]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2651: autom. group order 2, simple
B[2651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,9,10,12],[2,4,8,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2651]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2652: autom. group order 2, simple, derived
B[2652]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2652]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2653: autom. group order 2, simple
B[2653]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,9,10,12],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2653]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2654: autom. group order 2, simple, derived
B[2654]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2654]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2655: autom. group order 2, simple
B[2655]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,8,10,12,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2655]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2656: autom. group order 2, simple
B[2656]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,8,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2656]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2657: autom. group order 2, simple
B[2657]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,10,11,12],[2,4,7,8,9,10],[2,5,6,7,9,11],[2,5,7,8,11,13],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2657]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2658: autom. group order 2, simple
B[2658]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,9,10],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2658]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2659: autom. group order 2, simple
B[2659]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,8,9,10],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2659]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2660: autom. group order 2, simple
B[2660]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,8,9,10],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2660]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2661: autom. group order 2, simple
B[2661]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,8,9,10],[2,5,7,9,11,13],[2,6,8,9,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2661]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2662: autom. group order 2, simple
B[2662]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,8,9,10],[2,5,7,9,11,13],[2,6,8,9,12,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2662]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2663: autom. group order 2, simple
B[2663]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2663]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2664: autom. group order 2, simple
B[2664]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2664]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2665: autom. group order 2, simple
B[2665]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,4,7,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2665]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2666: autom. group order 2, simple
B[2666]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,7,8,13],[1,6,7,9,10,11],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,9,11,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,7,10,11],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2666]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2667: autom. group order 2, simple
B[2667]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,12],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,6,8,10,11,13],[1,7,8,10,11,12],[2,3,6,7,8,11],[2,4,5,8,9,11],[2,4,6,8,10,12],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,10,11,12],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,8,9,11,12],[3,6,7,8,9,13],[4,5,7,8,9,10]];
G[2667]:=Group([(1,9)(2,6)(3,7)(4,13)(5,10)]);
# Design 2668: autom. group order 2, simple
B[2668]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,11,12],[1,4,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,4,5,6,9,13],[2,4,6,7,9,12],[2,4,10,11,12,13],[2,5,7,8,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,9,11],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,8,12,13],[3,6,7,9,11,12],[4,5,7,9,10,13]];
G[2668]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2669: autom. group order 2, simple
B[2669]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,8,11,12],[1,4,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,4,5,6,9,13],[2,4,6,7,9,11],[2,4,10,11,12,13],[2,5,7,8,10,12],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,5,8,9,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,7,9,10,13]];
G[2669]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2670: autom. group order 2, simple
B[2670]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,6,8,9,11],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,6,7,8,12,13],[1,6,7,9,11,12],[2,3,6,8,10,12],[2,4,5,6,12,13],[2,4,6,7,11,13],[2,4,7,8,10,11],[2,5,7,9,11,12],[2,5,8,9,11,13],[2,6,8,9,10,13],[3,4,5,7,9,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[3,6,7,9,10,13],[4,5,8,9,10,12]];
G[2670]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2671: autom. group order 2, simple
B[2671]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,7,8,11,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,4,5,6,11,12],[2,4,6,7,11,13],[2,4,7,8,10,13],[2,5,7,9,10,13],[2,5,8,9,11,13],[2,6,8,9,11,12],[3,4,5,7,9,11],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,6,7,9,10,11],[4,5,8,9,10,12]];
G[2671]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2672: autom. group order 2, simple
B[2672]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,13],[1,4,6,9,10,11],[1,4,8,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,4,5,6,7,9],[2,4,7,11,12,13],[2,4,8,9,10,13],[2,5,6,8,11,12],[2,5,8,10,11,13],[2,6,7,9,11,13],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,9,11,12],[3,5,7,8,9,10],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2672]:=Group([(1,7)(2,8)(5,11)(6,12)]);
# Design 2673: autom. group order 2, simple, derived
B[2673]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,13],[1,4,6,9,10,11],[1,4,8,9,11,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,4,5,6,7,9],[2,4,7,11,12,13],[2,4,8,9,10,13],[2,5,6,8,11,12],[2,5,8,9,11,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,9,11,12],[3,5,7,8,9,10],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2673]:=Group([(1,7)(2,8)(5,11)(6,12)]);
# Design 2674: autom. group order 2, simple, derived
B[2674]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2674]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2675: autom. group order 2, simple
B[2675]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2675]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2676: autom. group order 2, simple
B[2676]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2676]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2677: autom. group order 2, simple
B[2677]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2677]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2678: autom. group order 2, simple
B[2678]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2678]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2679: autom. group order 2, simple
B[2679]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2679]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2680: autom. group order 2, simple
B[2680]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2680]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2681: autom. group order 2, simple
B[2681]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,11,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2681]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2682: autom. group order 2, simple
B[2682]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2682]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2683: autom. group order 2, simple
B[2683]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2683]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2684: autom. group order 2, simple
B[2684]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2684]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2685: autom. group order 2, simple
B[2685]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,11,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2685]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2686: autom. group order 2, simple
B[2686]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2686]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2687: autom. group order 2, simple
B[2687]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2687]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2688: autom. group order 2, simple
B[2688]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,11],[2,5,7,8,9,13],[2,6,10,11,12,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2688]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2689: autom. group order 2, simple
B[2689]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2689]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2690: autom. group order 2, simple
B[2690]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,8,9],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2690]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2691: autom. group order 2, simple
B[2691]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,9,10],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,10,11,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2691]:=Group([(1,11)(3,10)(5,13)(6,12)(7,8)]);
# Design 2692: autom. group order 2, simple
B[2692]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2692]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2693: autom. group order 2, simple
B[2693]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2693]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2694: autom. group order 2, simple
B[2694]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2694]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2695: autom. group order 2, simple, derived
B[2695]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2695]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2696: autom. group order 2, simple, derived
B[2696]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2696]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2697: autom. group order 2, simple
B[2697]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,8,9],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2697]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2698: autom. group order 2, simple
B[2698]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,10],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2698]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2699: autom. group order 2, simple
B[2699]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2699]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2700: autom. group order 2, simple
B[2700]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2700]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2701: autom. group order 2, simple
B[2701]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,7,8,11],[3,5,7,9,12,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2701]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2702: autom. group order 2, simple
B[2702]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,10],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2702]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2703: autom. group order 2, simple
B[2703]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,11,13],[3,5,7,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2703]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2704: autom. group order 2, simple
B[2704]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2704]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2705: autom. group order 2, simple
B[2705]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,10,13],[2,4,7,9,10,11],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,10,11,12,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2705]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2706: autom. group order 2, simple
B[2706]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,10,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2706]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2707: autom. group order 2, simple
B[2707]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,8,9,12],[2,6,10,11,12,13],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2707]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2708: autom. group order 2, simple
B[2708]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,9,12,13],[2,6,10,11,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2708]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2709: autom. group order 2, simple
B[2709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,5,7,10,11],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2709]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2710: autom. group order 2, simple
B[2710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2710]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2711: autom. group order 2, simple
B[2711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,11,12,13],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,12],[3,5,6,7,11,13],[3,5,7,9,12,13],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[2711]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2712: autom. group order 2, simple
B[2712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,7,8,10,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2712]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2713: autom. group order 2, simple
B[2713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,7,8,10,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2713]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2714: autom. group order 2, simple
B[2714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,10],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2714]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2715: autom. group order 2, simple
B[2715]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2715]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2716: autom. group order 2, simple
B[2716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,10],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2716]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2717: autom. group order 2, simple
B[2717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,10,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2717]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2718: autom. group order 2, simple
B[2718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,11,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2718]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2719: autom. group order 2, simple
B[2719]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2719]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2720: autom. group order 2, simple
B[2720]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,11,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2720]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2721: autom. group order 2, simple
B[2721]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2721]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2722: autom. group order 2, simple, derived
B[2722]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2722]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2723: autom. group order 2, simple, derived
B[2723]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2723]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2724: autom. group order 2, simple
B[2724]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,8,9,10,13]];
G[2724]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2725: autom. group order 2, simple
B[2725]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2725]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2726: autom. group order 2, simple
B[2726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,8,11,12,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2726]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2727: autom. group order 2, simple
B[2727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,8,11,12,13],[2,4,9,10,11,12],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2727]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2728: autom. group order 2, simple
B[2728]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,10,13],[2,4,7,9,10,11],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,10,11,12,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2728]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2729: autom. group order 2, simple
B[2729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,10,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2729]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2730: autom. group order 2, simple, derived
B[2730]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2730]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2731: autom. group order 2, simple, derived
B[2731]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2731]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2732: autom. group order 2, simple
B[2732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,11],[2,5,7,8,9,13],[2,6,10,11,12,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,8,11,12],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,9,12,13],[4,5,8,9,10,13]];
G[2732]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2733: autom. group order 2, simple
B[2733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,9,12,13],[2,6,10,11,12,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2733]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2734: autom. group order 2, simple
B[2734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,8,9,12],[2,6,10,11,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2734]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2735: autom. group order 2, simple, derived
B[2735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2735]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2736: autom. group order 2, simple
B[2736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2736]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2737: autom. group order 2, simple
B[2737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,11,12,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,12],[3,5,6,7,11,13],[3,5,7,9,12,13],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[2737]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2738: autom. group order 2, simple
B[2738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,6,10,11,12,13],[4,5,8,9,10,13]];
G[2738]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2739: autom. group order 2, simple
B[2739]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2739]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2740: autom. group order 2, simple
B[2740]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,11,13],[3,5,7,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2740]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2741: autom. group order 2, simple
B[2741]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,7,8,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2741]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2742: autom. group order 2, simple
B[2742]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,6,10,12],[1,4,6,8,10,13],[1,4,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,6,9,11,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,12,13],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,11,13],[3,6,7,11,12,13],[4,5,7,9,10,13]];
G[2742]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2743: autom. group order 2, simple
B[2743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,10,13],[1,4,7,8,12,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,6,9,11,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,11,13],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,7,11,12,13],[4,5,7,9,10,13]];
G[2743]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2744: autom. group order 2, simple
B[2744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,10,11],[1,4,6,8,11,12],[1,4,7,8,12,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,6,9,11,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,11,13],[3,4,5,8,10,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,7,11,12,13],[4,5,7,9,11,12]];
G[2744]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2745: autom. group order 2, simple
B[2745]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,7,8,11,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,4,5,7,10,13],[2,4,6,7,11,13],[2,4,6,8,11,12],[2,5,6,9,11,12],[2,5,8,9,11,13],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,6,7,9,10,11],[4,5,8,9,10,12]];
G[2745]:=Group([(1,3)(5,8)(6,7)(10,12)(11,13)]);
# Design 2746: autom. group order 2, simple, derived
B[2746]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,10],[1,4,6,7,9,11],[1,4,9,10,12,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,10,12],[2,4,5,8,9,11],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,9,10,13],[2,7,8,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2746]:=Group([(1,11)(2,10)(5,13)(8,12)]);
# Design 2747: autom. group order 2, simple
B[2747]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,10],[1,4,6,7,9,11],[1,4,9,10,12,13],[1,5,8,11,12,13],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,4,5,8,9,11],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,7,8,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2747]:=Group([(1,11)(2,10)(5,13)(8,12)]);
# Design 2748: autom. group order 2, simple
B[2748]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,10],[1,4,6,7,9,11],[1,4,8,9,10,13],[1,5,8,11,12,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,6,8,10,12],[2,4,5,9,11,12],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,7,8,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2748]:=Group([(1,11)(2,10)(5,13)(8,12)]);
# Design 2749: autom. group order 2, simple
B[2749]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,6,8,10],[1,4,6,7,9,11],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,12,13],[2,3,6,8,10,12],[2,4,5,9,10,13],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,9,11],[2,7,8,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2749]:=Group([(1,11)(2,10)(5,13)(8,12)]);
# Design 2750: autom. group order 2, simple
B[2750]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2750]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2751: autom. group order 2, simple
B[2751]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2751]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2752: autom. group order 2, simple
B[2752]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2752]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2753: autom. group order 2, simple
B[2753]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2753]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2754: autom. group order 2, simple, derived
B[2754]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2754]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2755: autom. group order 2, simple
B[2755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,7,8,10,11,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2755]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2756: autom. group order 2, simple
B[2756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2756]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2757: autom. group order 2, simple
B[2757]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2757]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2758: autom. group order 2, simple
B[2758]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2758]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2759: autom. group order 2, simple
B[2759]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2759]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2760: autom. group order 2, simple
B[2760]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2760]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2761: autom. group order 2, simple
B[2761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2761]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2762: autom. group order 2, simple
B[2762]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2762]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2763: autom. group order 2, simple
B[2763]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2763]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2764: autom. group order 2, simple
B[2764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2764]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2765: autom. group order 2, simple
B[2765]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2765]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2766: autom. group order 2, simple
B[2766]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2766]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2767: autom. group order 2, simple
B[2767]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2767]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2768: autom. group order 2, simple
B[2768]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,10,11,12],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2768]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2769: autom. group order 2, simple
B[2769]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2769]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2770: autom. group order 2, simple
B[2770]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,10,13],[1,4,7,8,11,12],[1,5,8,9,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,7,8,9],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2770]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2771: autom. group order 2, simple
B[2771]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,10,13],[1,4,7,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2771]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2772: autom. group order 2, simple
B[2772]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,7,8,9],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2772]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2773: autom. group order 2, simple, derived
B[2773]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2773]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2774: autom. group order 2, simple
B[2774]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2774]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2775: autom. group order 2, simple, derived
B[2775]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2775]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2776: autom. group order 2, simple
B[2776]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2776]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2777: autom. group order 2, simple
B[2777]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2777]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2778: autom. group order 2, simple
B[2778]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,8,10],[1,3,5,10,12,13],[1,4,5,6,9,12],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,7,8,11,12],[1,6,7,9,11,13],[1,6,8,10,11,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,9,10],[2,4,8,11,12,13],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,7,9,10,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,5,6,8,9,13],[3,5,8,9,10,11],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2778]:=Group([(1,13)(3,12)(4,8)(7,11)]);
# Design 2779: autom. group order 2, simple
B[2779]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2779]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2780: autom. group order 2, simple
B[2780]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,8,9],[1,4,9,11,12,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2780]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2781: autom. group order 2, simple
B[2781]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,6,9,11,12],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2781]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2782: autom. group order 2, simple
B[2782]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,6,9,11,12],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2782]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2783: autom. group order 2, simple
B[2783]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,7,10,11,12,13],[3,4,5,7,10,11],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2783]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2784: autom. group order 2, simple
B[2784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,7,10,11,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2784]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2785: autom. group order 2, simple
B[2785]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2785]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2786: autom. group order 2, simple
B[2786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2786]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2787: autom. group order 2, simple
B[2787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,9,10],[2,8,10,11,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2787]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2788: autom. group order 2, simple
B[2788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,9,10],[2,8,10,11,12,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2788]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2789: autom. group order 2, simple
B[2789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,9,10],[2,8,10,11,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2789]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2790: autom. group order 2, simple
B[2790]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,9,10],[2,8,10,11,12,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[2790]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2791: autom. group order 2, simple, derived
B[2791]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,9,11,13],[2,8,10,11,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2791]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2792: autom. group order 2, simple
B[2792]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,8,10,11,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2792]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2793: autom. group order 2, simple, derived
B[2793]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,9,11,13],[2,8,10,11,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2793]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2794: autom. group order 2, simple
B[2794]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,8,10,11,12,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2794]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2795: autom. group order 2, simple
B[2795]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,7,8,9],[3,4,6,7,10,11],[3,4,9,10,12,13],[3,5,6,9,11,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2795]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2796: autom. group order 2, simple
B[2796]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2796]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2797: autom. group order 2, simple
B[2797]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2797]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2798: autom. group order 2, simple
B[2798]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,10,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2798]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2799: autom. group order 2, simple
B[2799]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,6,9,11,12],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2799]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2800: autom. group order 2, simple
B[2800]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,6,9,11,12],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2800]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2801: autom. group order 2, simple, derived
B[2801]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,7,10,11,12,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2801]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2802: autom. group order 2, simple, derived
B[2802]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,7,10,11,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2802]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2803: autom. group order 2, simple
B[2803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,7,8,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2803]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2804: autom. group order 2, simple
B[2804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,7,8,9],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2804]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2805: autom. group order 2, simple, derived
B[2805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2805]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2806: autom. group order 2, simple, derived
B[2806]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,8,10,11,12,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2806]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2807: autom. group order 2, simple, derived
B[2807]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,8,10,11,12,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2807]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2808: autom. group order 2, simple
B[2808]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,8,10,11,12,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,8,9,10,13]];
G[2808]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2809: autom. group order 2, simple
B[2809]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,8,10,11,12,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2809]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2810: autom. group order 2, simple
B[2810]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2810]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2811: autom. group order 2, simple
B[2811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,6,8,10,12],[1,4,7,8,11,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,6,10,11,12,13],[4,5,8,9,10,13]];
G[2811]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2812: autom. group order 2, simple
B[2812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,6,7,9,10],[2,8,10,11,12,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2812]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2813: autom. group order 2, simple
B[2813]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,8,13],[2,5,6,7,9,10],[2,8,10,11,12,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2813]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2814: autom. group order 2, simple
B[2814]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2814]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2815: autom. group order 2, simple
B[2815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,11,12],[2,5,8,9,10,11],[2,6,7,10,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,8,10,12],[3,5,6,7,9,11],[3,5,7,9,12,13],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2815]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2816: autom. group order 2, simple, derived
B[2816]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,8,11,12,13],[1,4,9,10,11,12],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,10,12,13],[2,4,7,8,10,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2816]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2817: autom. group order 2, simple, derived
B[2817]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,8,11,12,13],[1,4,9,10,11,12],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,10,12,13],[2,4,7,8,10,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2817]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2818: autom. group order 2, simple
B[2818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,8,11,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2818]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2819: autom. group order 2, simple
B[2819]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,8,11,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,12],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2819]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2820: autom. group order 2, simple
B[2820]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2820]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2821: autom. group order 2, simple
B[2821]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,9,10,11],[1,4,8,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,9,10,11,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2821]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2822: autom. group order 2, simple
B[2822]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,9,10,11],[1,4,8,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,9,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2822]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2823: autom. group order 2, simple
B[2823]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,9,10,11],[1,4,8,11,12,13],[1,5,6,7,8,11],[1,6,7,8,9,13],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2823]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2824: autom. group order 2, simple
B[2824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,9,10,11],[1,4,8,11,12,13],[1,5,6,7,8,11],[1,6,7,8,9,13],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2824]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2825: autom. group order 2, simple
B[2825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2825]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2826: autom. group order 2, simple
B[2826]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2826]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2827: autom. group order 2, simple
B[2827]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2827]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2828: autom. group order 2, simple
B[2828]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2828]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2829: autom. group order 2, simple
B[2829]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,8,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2829]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2830: autom. group order 2, simple
B[2830]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,8,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,8,9],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2830]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2831: autom. group order 2, simple
B[2831]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,8,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,11,13],[3,5,7,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2831]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2832: autom. group order 2, simple
B[2832]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,8,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2832]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2833: autom. group order 2, simple
B[2833]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,10,12,13],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2833]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2834: autom. group order 2, simple
B[2834]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,10,12,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2834]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2835: autom. group order 2, simple
B[2835]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,10,12,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2835]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2836: autom. group order 2, simple
B[2836]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,8,11,12],[1,4,9,10,11,13],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,10,12,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2836]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2837: autom. group order 2, simple
B[2837]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2837]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2838: autom. group order 2, simple
B[2838]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2838]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2839: autom. group order 2, simple, derived
B[2839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,6,10,11,12,13],[4,5,8,9,10,13]];
G[2839]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2840: autom. group order 2, simple
B[2840]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,9,10,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2840]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2841: autom. group order 2, simple, derived
B[2841]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,10,11,13],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,7,8,9],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2841]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2842: autom. group order 2, simple
B[2842]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,10,11,13],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2842]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2843: autom. group order 2, simple
B[2843]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,8,11,12],[1,4,9,10,11,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2843]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2844: autom. group order 2, simple
B[2844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2844]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2845: autom. group order 2, simple, derived
B[2845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,10,11,13],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,10,12],[3,5,6,7,8,11],[3,5,7,9,12,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2845]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2846: autom. group order 2, simple
B[2846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,8,11,12],[1,4,9,10,11,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2846]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2847: autom. group order 2, simple
B[2847]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,11,13],[2,5,9,10,11,12],[2,6,8,10,12,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2847]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2848: autom. group order 2, simple
B[2848]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,8,11,12],[1,4,8,9,10,11],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,11,13],[2,5,9,10,11,12],[2,6,8,10,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2848]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2849: autom. group order 2, simple
B[2849]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,9,10,11],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,12],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2849]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2850: autom. group order 2, simple
B[2850]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,8,11,12],[1,4,8,9,10,11],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2850]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2851: autom. group order 2, simple
B[2851]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,8,11,12],[1,4,9,10,11,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2851]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2852: autom. group order 2, simple
B[2852]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,7,12,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,6,7,11,13],[2,4,5,6,9,11],[2,4,7,8,9,12],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,6,8,10,12],[3,5,7,9,10,12],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,7,9,11,13]];
G[2852]:=Group([(1,2)(5,7)(6,8)(10,12)(11,13)]);
# Design 2853: autom. group order 2, simple
B[2853]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,10],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,7,12,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,6,7,11,13],[2,4,5,6,9,11],[2,4,7,8,9,12],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,6,8,10,12],[3,5,7,9,10,12],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2853]:=Group([(1,2)(5,7)(6,8)(10,12)(11,13)]);
# Design 2854: autom. group order 2, simple
B[2854]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,13],[1,4,7,8,9,10],[1,4,10,11,12,13],[1,5,6,7,10,11],[1,6,7,8,12,13],[1,6,8,9,11,12],[2,3,6,7,11,13],[2,4,5,6,9,12],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,8,9,10,13],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,6,8,10,12],[3,5,7,9,10,12],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,7,9,11,13]];
G[2854]:=Group([(1,2)(5,7)(6,8)(10,12)(11,13)]);
# Design 2855: autom. group order 2, simple
B[2855]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,9,13],[1,4,7,8,9,10],[1,4,10,11,12,13],[1,5,6,7,10,11],[1,6,7,8,12,13],[1,6,8,9,11,12],[2,3,6,7,11,13],[2,4,5,6,9,12],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,8,9,10,13],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,6,8,10,12],[3,5,7,9,10,12],[3,5,8,9,10,13],[3,6,7,9,11,12],[4,5,7,9,11,13]];
G[2855]:=Group([(1,2)(5,7)(6,8)(10,12)(11,13)]);
# Design 2856: autom. group order 2, simple
B[2856]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,7,8,9,10,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2856]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2857: autom. group order 2, simple
B[2857]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,6,9,11,13],[2,5,7,8,9,11],[2,7,8,9,10,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2857]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2858: autom. group order 2, simple
B[2858]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,7,8,9,10,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2858]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2859: autom. group order 2, simple
B[2859]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,6,9,11,13],[2,5,7,8,9,11],[2,7,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2859]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2860: autom. group order 2, simple
B[2860]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,7,9],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2860]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2861: autom. group order 2, simple
B[2861]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,8,11,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2861]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2862: autom. group order 2, simple
B[2862]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,8,11,13],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,6,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,9,11,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2862]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2863: autom. group order 2, simple
B[2863]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,8,9],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2863]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2864: autom. group order 2, simple
B[2864]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2864]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2865: autom. group order 2, simple
B[2865]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2865]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2866: autom. group order 2, simple
B[2866]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2866]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2867: autom. group order 2, simple
B[2867]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2867]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2868: autom. group order 2, simple
B[2868]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2868]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2869: autom. group order 2, simple
B[2869]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,11,12,13],[1,4,9,10,11,13],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2869]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2870: autom. group order 2, simple
B[2870]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2870]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2871: autom. group order 2, simple
B[2871]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,11,12,13],[1,4,9,10,11,13],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2871]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2872: autom. group order 2, simple
B[2872]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2872]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2873: autom. group order 2, simple
B[2873]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,8,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2873]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2874: autom. group order 2, simple
B[2874]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2874]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2875: autom. group order 2, simple
B[2875]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2875]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2876: autom. group order 2, simple, derived
B[2876]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,7,8,9],[3,4,6,7,10,11],[3,4,9,10,12,13],[3,5,6,9,11,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2876]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2877: autom. group order 2, simple
B[2877]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2877]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2878: autom. group order 2, simple
B[2878]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2878]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2879: autom. group order 2, simple, derived
B[2879]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,11,12,13],[1,4,9,10,11,13],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,6,9,11,13],[2,5,7,8,9,11],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2879]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2880: autom. group order 2, simple, derived
B[2880]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[2880]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2881: autom. group order 2, simple
B[2881]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,7,8,9,10,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2881]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2882: autom. group order 2, simple
B[2882]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[2882]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2883: autom. group order 2, simple, derived
B[2883]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,11,12,13],[1,4,9,10,11,13],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,6,9,11,13],[2,5,7,8,9,11],[2,7,8,9,10,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2883]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2884: autom. group order 2, simple
B[2884]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,8,12,13],[2,4,6,9,10,12],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2884]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2885: autom. group order 2, simple
B[2885]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,11,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,8,12,13],[2,4,6,9,10,12],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2885]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2886: autom. group order 2, simple
B[2886]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,8,12,13],[2,4,6,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2886]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2887: autom. group order 2, simple
B[2887]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,8,11,12],[1,4,9,10,11,13],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,8,12,13],[2,4,6,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2887]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2888: autom. group order 2, simple
B[2888]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2888]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2889: autom. group order 2, simple
B[2889]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,13],[1,4,7,8,11,12],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2889]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2890: autom. group order 2, simple, derived
B[2890]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,11,12],[1,4,7,8,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,6,10,11,12,13],[4,5,8,9,10,13]];
G[2890]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2891: autom. group order 2, simple
B[2891]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,11,12,13],[1,4,8,9,10,11],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,8,9,11,12,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2891]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2892: autom. group order 2, simple
B[2892]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,8,11,12],[1,4,8,9,10,11],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,8,9,11,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2892]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2893: autom. group order 2, simple
B[2893]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,12],[1,4,7,9,10,11],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,9,11,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2893]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2894: autom. group order 2, simple
B[2894]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,9,13],[1,4,7,8,11,12],[1,4,8,9,10,11],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2894]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2895: autom. group order 2, simple
B[2895]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,6,8,9],[1,4,7,8,11,12],[1,4,9,10,11,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2895]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2896: autom. group order 2, simple
B[2896]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,6,9,11,13],[1,6,8,9,11,12],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,6,9,12],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,7,8,11,13],[2,5,8,9,10,13],[2,6,7,8,12,13],[3,4,5,8,9,13],[3,4,7,8,9,11],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,8,10,11],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[2896]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2897: autom. group order 2, simple
B[2897]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,6,8,9,11,12],[1,7,8,9,10,11],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,7,8,11,13],[2,5,8,9,10,13],[2,6,7,8,12,13],[3,4,5,8,9,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,8,10,11],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[2897]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2898: autom. group order 2, simple
B[2898]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,6,7,8,10],[1,6,7,11,12,13],[1,8,9,10,12,13],[2,3,6,8,10,12],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,4,7,9,10,13],[2,5,6,10,11,13],[2,5,8,11,12,13],[2,6,7,8,9,11],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,9,10,11],[4,5,7,9,10,12]];
G[2898]:=Group([(1,11)(2,10)(6,12)(7,13)]);
# Design 2899: autom. group order 2, simple, derived
B[2899]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,6,7,8,12],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,10,12],[2,4,5,6,9,11],[2,4,7,8,11,12],[2,4,7,9,10,13],[2,5,6,11,12,13],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,8,11,12,13],[3,5,6,8,9,10],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2899]:=Group([(1,13)(2,12)(6,10)(7,11)]);
# Design 2900: autom. group order 2, simple, derived
B[2900]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2900]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2901: autom. group order 2, simple
B[2901]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2901]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2902: autom. group order 2, simple
B[2902]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,8,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,11,12,13],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2902]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2903: autom. group order 2, simple
B[2903]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,8,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2903]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2904: autom. group order 2, simple
B[2904]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[2904]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2905: autom. group order 2, simple
B[2905]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2905]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2906: autom. group order 2, simple
B[2906]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,8,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,11,12,13],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2906]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2907: autom. group order 2, simple
B[2907]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,8,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2907]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2908: autom. group order 2, simple
B[2908]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2908]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2909: autom. group order 2, simple
B[2909]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2909]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2910: autom. group order 2, simple
B[2910]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,8,9,10,12],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2910]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2911: autom. group order 2, simple
B[2911]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2911]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2912: autom. group order 2, simple
B[2912]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,6,9,10,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2912]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2913: autom. group order 2, simple
B[2913]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2913]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2914: autom. group order 2, simple
B[2914]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,6,9,10,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2914]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2915: autom. group order 2, simple
B[2915]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[2915]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2916: autom. group order 2, simple
B[2916]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2916]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2917: autom. group order 2, simple
B[2917]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2917]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2918: autom. group order 2, simple
B[2918]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[2918]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2919: autom. group order 2, simple
B[2919]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,8,10,11],[3,4,6,7,8,9],[3,4,9,11,12,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2919]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2920: autom. group order 2, simple
B[2920]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,9,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2920]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2921: autom. group order 2, simple
B[2921]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,7,8,11],[1,6,10,11,12,13],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,8,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,13],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2921]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2922: autom. group order 2, simple
B[2922]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2922]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2923: autom. group order 2, simple
B[2923]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2923]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2924: autom. group order 2, simple
B[2924]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2924]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2925: autom. group order 2, simple
B[2925]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,7,8,11],[1,6,10,11,12,13],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2925]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2926: autom. group order 2, simple
B[2926]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2926]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2927: autom. group order 2, simple
B[2927]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,11,13],[2,4,7,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,8,9,12,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2927]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2928: autom. group order 2, simple
B[2928]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,11,13],[2,4,7,9,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2928]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2929: autom. group order 2, simple
B[2929]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,9,10,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2929]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2930: autom. group order 2, simple
B[2930]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2930]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2931: autom. group order 2, simple
B[2931]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,11],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2931]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2932: autom. group order 2, simple
B[2932]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2932]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2933: autom. group order 2, simple
B[2933]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2933]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2934: autom. group order 2, simple
B[2934]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2934]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2935: autom. group order 2, simple
B[2935]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2935]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2936: autom. group order 2, simple
B[2936]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,7,9,11,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2936]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2937: autom. group order 2, simple, derived
B[2937]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,7,8,11,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,8,9,12,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2937]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2938: autom. group order 2, simple, derived
B[2938]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,7,8,11,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2938]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2939: autom. group order 2, simple
B[2939]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,8,10,12,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2939]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2940: autom. group order 2, simple
B[2940]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,12,13],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,8,10,12,13],[2,4,9,10,11,12],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,12],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2940]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2941: autom. group order 2, simple
B[2941]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,11,13],[2,4,7,9,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2941]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2942: autom. group order 2, simple
B[2942]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,12,13],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,8,11,13],[2,4,7,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,8,9,12,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2942]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2943: autom. group order 2, simple
B[2943]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2943]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2944: autom. group order 2, simple, derived
B[2944]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2944]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2945: autom. group order 2, simple, derived
B[2945]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[2945]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2946: autom. group order 2, simple
B[2946]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2946]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2947: autom. group order 2, simple
B[2947]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,7,8,9,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[2947]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2948: autom. group order 2, simple, derived
B[2948]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2948]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2949: autom. group order 2, simple
B[2949]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,12,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,11,12],[1,5,6,9,11,13],[1,6,8,9,10,13],[1,7,8,9,10,12],[2,3,6,8,11,12],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,6,9,10,12],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,7,8,11,12,13],[3,4,5,8,10,13],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,6,7,10,12,13],[4,5,7,9,11,12]];
G[2949]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2950: autom. group order 2, simple
B[2950]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,9,10,11],[1,6,8,9,11,12],[1,7,8,9,12,13],[2,3,6,8,10,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,4,6,9,11,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,11,13],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,7,11,12,13],[4,5,7,9,10,13]];
G[2950]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 2951: autom. group order 2, simple, derived
B[2951]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,9,10],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,6,8,11,12],[1,6,7,8,12,13],[1,8,9,10,11,13],[2,3,6,8,10,12],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,7,10,11,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,5,6,9,10,13],[3,5,7,8,9,12],[3,6,7,8,9,11],[4,5,7,9,10,12]];
G[2951]:=Group([(1,7)(2,8)(5,13)(6,10)]);
# Design 2952: autom. group order 2, simple
B[2952]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,11],[1,4,6,7,9,10],[1,4,6,9,12,13],[1,5,6,8,11,12],[1,6,7,8,12,13],[1,8,9,10,11,13],[2,3,6,8,10,12],[2,4,5,8,9,13],[2,4,6,7,11,13],[2,4,8,9,11,12],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,7,10,11,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,5,6,9,10,13],[3,5,7,8,9,12],[3,6,7,8,9,11],[4,5,7,9,10,12]];
G[2952]:=Group([(1,7)(2,8)(5,13)(6,10)]);
# Design 2953: autom. group order 2, simple
B[2953]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,4,6,8,11,12],[1,5,6,8,9,13],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,6,8,11,13],[2,4,5,10,12,13],[2,4,6,11,12,13],[2,4,7,8,10,11],[2,5,6,7,8,9],[2,5,6,9,10,11],[2,7,8,9,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,9,10,13],[3,5,6,8,10,12],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,11,13]];
G[2953]:=Group([(1,8)(3,7)(5,11)(6,10)(12,13)]);
# Design 2954: autom. group order 2, simple
B[2954]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2954]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2955: autom. group order 2, simple
B[2955]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2955]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2956: autom. group order 2, simple
B[2956]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2956]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2957: autom. group order 2, simple
B[2957]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2957]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2958: autom. group order 2, simple, derived
B[2958]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,7,8,10,11,12],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2958]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2959: autom. group order 2, simple
B[2959]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,9,10,13],[2,7,8,10,11,12],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2959]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2960: autom. group order 2, simple
B[2960]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,8,9,10,12],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2960]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2961: autom. group order 2, simple
B[2961]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,10,11,12],[2,4,7,8,9,10],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2961]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2962: autom. group order 2, simple
B[2962]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,6,9,10,12],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,7,10,11,12,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2962]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2963: autom. group order 2, simple
B[2963]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,7,10,11,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[2963]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2964: autom. group order 2, simple
B[2964]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,6,9,10,13],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2964]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2965: autom. group order 2, simple
B[2965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2965]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2966: autom. group order 2, simple
B[2966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2966]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2967: autom. group order 2, simple
B[2967]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2967]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2968: autom. group order 2, simple
B[2968]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2968]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2969: autom. group order 2, simple
B[2969]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,9,10,13],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[2969]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2970: autom. group order 2, simple
B[2970]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2970]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2971: autom. group order 2, simple
B[2971]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[2971]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2972: autom. group order 2, simple, derived
B[2972]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,8,11],[1,6,10,11,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2972]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2973: autom. group order 2, simple
B[2973]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,12,13],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[2973]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2974: autom. group order 2, simple, derived
B[2974]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,8,11],[1,6,10,11,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,6,8,9,12],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2974]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2975: autom. group order 2, simple
B[2975]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,9,12],[1,4,6,8,11,12],[1,5,6,7,11,13],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,6,7,8,11],[2,4,5,8,9,11],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,10,11,12],[3,5,8,9,11,12],[3,6,7,8,9,13],[4,5,7,8,9,10]];
G[2975]:=Group([(1,12)(3,13)(4,8)(7,10)]);
# Design 2976: autom. group order 2, simple
B[2976]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,8,11],[1,6,10,11,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2976]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2977: autom. group order 2, simple
B[2977]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,12,13],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[2977]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2978: autom. group order 2, simple
B[2978]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,8,11],[1,6,10,11,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2978]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2979: autom. group order 2, simple
B[2979]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,12,13],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2979]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2980: autom. group order 2, simple
B[2980]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,10,11],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,6,9,10,12],[2,7,8,10,11,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2980]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2981: autom. group order 2, simple
B[2981]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,7,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,6,9,10,12],[2,7,8,10,11,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[2981]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2982: autom. group order 2, simple
B[2982]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,8,10,11,12,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[2982]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2983: autom. group order 2, simple
B[2983]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,8,10,11,12,13],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[2983]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2984: autom. group order 2, simple
B[2984]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,8,10,11,12,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[2984]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2985: autom. group order 2, simple
B[2985]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,7,11,12],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,8,10,11,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[2985]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2986: autom. group order 2, simple
B[2986]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,8,9],[3,4,9,11,12,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2986]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2987: autom. group order 2, simple
B[2987]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[2987]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2988: autom. group order 2, simple
B[2988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2988]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2989: autom. group order 2, simple
B[2989]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[2989]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2990: autom. group order 2, simple
B[2990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,7,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,6,9,10,12],[2,7,8,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2990]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2991: autom. group order 2, simple
B[2991]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,12,13],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,10,11],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,6,9,10,12],[2,7,8,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,8,9,10,13]];
G[2991]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2992: autom. group order 2, simple, derived
B[2992]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,4,6,8,9,10],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,10,11],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,8,10,11,12,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[2992]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2993: autom. group order 2, simple, derived
B[2993]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,9,11,13],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,10,11],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,8,10,11,12,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[2993]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2994: autom. group order 2, simple
B[2994]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[2994]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2995: autom. group order 2, simple, derived
B[2995]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,7,10,11,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2995]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2996: autom. group order 2, simple, derived
B[2996]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,7,10,11,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[2996]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2997: autom. group order 2, simple
B[2997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,8,10,11],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,6,9,10,13],[2,7,8,10,11,12],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2997]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2998: autom. group order 2, simple
B[2998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,11,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[2998]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 2999: autom. group order 2, simple, derived
B[2999]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,9,11,12,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,7,8,10,11,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[2999]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3000: autom. group order 2, simple
B[3000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,7,8,9,10,13],[3,4,5,8,9,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,9,10,13],[3,6,7,8,10,11],[4,5,7,9,11,12]];
G[3000]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3001: autom. group order 2, simple
B[3001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,8,9,10,11],[1,6,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,7,8,9,10,13],[3,4,5,8,9,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,9,10,13],[3,6,7,8,10,11],[4,5,7,9,11,12]];
G[3001]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3002: autom. group order 2, simple
B[3002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,6,8,11,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,4,5,6,10,13],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,6,7,8,9],[2,5,8,10,12,13],[2,7,8,11,12,13],[3,4,5,9,12,13],[3,4,7,8,10,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,11,12],[3,6,7,10,11,13],[4,5,7,9,11,12]];
G[3002]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3003: autom. group order 2, simple
B[3003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,6,11,12],[2,4,6,9,11,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,7,8,10,11,13],[3,4,5,9,10,11],[3,4,7,8,11,12],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,12,13],[3,6,7,11,12,13],[4,5,7,9,10,13]];
G[3003]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3004: autom. group order 2, simple, derived
B[3004]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,10,13],[1,4,5,8,11,12],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,8,9,11,12],[1,6,7,11,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,4,5,6,10,11],[2,4,7,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,5,6,8,10,12],[3,5,7,8,11,13],[3,6,7,10,11,12],[4,5,7,9,10,13]];
G[3004]:=Group([(1,8)(3,7)(5,13)(6,12)(10,11)]);
# Design 3005: autom. group order 2, simple, derived
B[3005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,10,13],[1,4,5,8,11,13],[1,4,6,7,11,12],[1,4,6,8,9,10],[1,5,8,9,11,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,10,11],[2,4,7,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,7,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,8,10,12],[3,5,7,8,11,12],[3,6,7,10,11,13],[4,5,7,9,10,13]];
G[3005]:=Group([(1,11)(3,10)(5,6)(7,13)(8,12)]);
# Design 3006: autom. group order 2, simple
B[3006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,8,10,12],[1,4,5,7,8,13],[1,4,6,7,9,12],[1,4,6,8,9,11],[1,5,9,11,12,13],[1,6,7,10,12,13],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,4,5,6,11,12],[2,4,7,10,12,13],[2,4,8,10,11,13],[2,5,6,7,9,10],[2,5,6,8,9,13],[2,7,8,9,11,12],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,8,9,10,12]];
G[3006]:=Group([(1,6)(3,5)(7,12)(8,11)(10,13)]);
# Design 3007: autom. group order 2, simple
B[3007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,7,10,13],[1,4,5,7,8,11],[1,4,6,7,9,12],[1,4,6,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,8,10,11,13],[2,3,6,7,8,13],[2,4,5,6,10,12],[2,4,7,11,12,13],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,6,8,9,13],[2,7,8,9,10,12],[3,4,5,8,9,10],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,8,11,12],[3,5,7,11,12,13],[3,6,7,9,10,11],[4,5,7,9,10,13]];
G[3007]:=Group([(1,6)(3,5)(7,12)(8,10)(11,13)]);
# Design 3008: autom. group order 2, simple, derived
B[3008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,7,10,13],[1,4,5,8,11,13],[1,4,6,7,9,11],[1,4,6,9,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,8,10,12,13],[2,3,6,7,8,13],[2,4,5,6,10,12],[2,4,7,8,10,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,6,8,9,13],[2,8,9,10,11,13],[3,4,5,8,9,10],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,12],[3,5,7,11,12,13],[3,6,7,9,10,12],[4,5,7,9,10,13]];
G[3008]:=Group([(1,6)(3,5)(7,12)(8,10)(11,13)]);
# Design 3009: autom. group order 2, simple
B[3009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,13],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,10,13],[2,6,7,8,12,13],[3,4,5,6,9,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,8,12,13],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[3009]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3010: autom. group order 2, simple
B[3010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,7,8,9,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,6,9,10],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[3010]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3011: autom. group order 2, simple
B[3011]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,13],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,10,13],[2,6,7,8,12,13],[3,4,5,6,9,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,8,12,13],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[3011]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3012: autom. group order 2, simple
B[3012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,4,5,6,9,11],[2,4,7,8,9,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,6,9,10],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[3,6,7,9,10,13],[4,5,7,9,11,12]];
G[3012]:=Group([(2,3)(5,7)(6,8)(10,13)(11,12)]);
# Design 3013: autom. group order 2, simple, derived
B[3013]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,9,11],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,6,7,8,10],[1,6,7,11,12,13],[1,6,8,9,11,12],[2,3,6,8,10,12],[2,4,5,6,9,13],[2,4,6,7,9,11],[2,4,7,8,11,12],[2,5,6,10,11,13],[2,5,8,11,12,13],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,8,9,13],[3,6,7,9,10,11],[4,5,7,9,10,12]];
G[3013]:=Group([(1,11)(2,10)(6,12)(7,13)]);
# Design 3014: autom. group order 2, simple, derived
B[3014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,7,11,13],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,4,9,10,11,12],[1,5,6,7,8,12],[1,6,7,10,11,13],[1,6,8,9,11,12],[2,3,6,8,10,12],[2,4,5,6,9,11],[2,4,6,7,9,13],[2,4,7,8,11,12],[2,5,6,11,12,13],[2,5,8,10,11,13],[2,7,8,9,10,13],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,8,11,12,13],[3,5,6,8,9,10],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[3014]:=Group([(1,13)(2,12)(6,10)(7,11)]);
# Design 3015: autom. group order 2, simple
B[3015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[3015]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3016: autom. group order 2, simple, derived
B[3016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[3016]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3017: autom. group order 2, simple
B[3017]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[3017]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3018: autom. group order 2, simple, derived
B[3018]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[3018]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3019: autom. group order 2, simple
B[3019]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,7,8,11,13],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,6,7,8,12],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,9,11,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[3019]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3020: autom. group order 2, simple
B[3020]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,7,8,11,13],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,7,8,10,11,12],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[3020]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3021: autom. group order 2, simple
B[3021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,6,7,8,12],[2,4,8,9,10,11],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,7,9,11,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[3021]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3022: autom. group order 2, simple
B[3022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[3022]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3023: autom. group order 2, simple
B[3023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,8,11,12,13],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,6,7,8,12],[2,4,8,9,10,11],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,7,9,11,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[3023]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3024: autom. group order 2, simple
B[3024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,8,11,12,13],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,7,8,10,11,12],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,8,9,10,12],[4,5,8,9,10,13]];
G[3024]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3025: autom. group order 2, simple
B[3025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,8,10,11,12,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[3,6,7,10,11,13],[4,5,7,9,10,12]];
G[3025]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3026: autom. group order 2, simple
B[3026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,8,10,11,12,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[3026]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3027: autom. group order 2, simple, derived
B[3027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,8,10,11,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[3027]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3028: autom. group order 2, simple, derived
B[3028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,8,10,11,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,12]];
G[3028]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3029: autom. group order 2, simple
B[3029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,7,8,10,11,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[3029]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3030: autom. group order 2, simple
B[3030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,7,8,10,11,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[3030]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3031: autom. group order 2, simple, derived
B[3031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,6,8,12,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[3031]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3032: autom. group order 2, simple
B[3032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,6,7,8,13],[2,4,7,9,10,11],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,8,9,11,12,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,8,9,10,13]];
G[3032]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3033: autom. group order 2, simple
B[3033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,6,7,8,13],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,8,9,11,12,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[3033]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3034: autom. group order 2, simple, derived
B[3034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,6,7,8,12],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,9,11,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[3034]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3035: autom. group order 2, simple, derived
B[3035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,8,9,10,13]];
G[3035]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3036: autom. group order 2, simple, derived
B[3036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,8,10,11,12,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,8,9,10,13]];
G[3036]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3037: autom. group order 2, simple
B[3037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3037]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3038: autom. group order 2, simple
B[3038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,7,11,12,13],[1,5,6,8,9,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3038]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3039: autom. group order 2, simple
B[3039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3039]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3040: autom. group order 2, simple
B[3040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,7,11,12,13],[1,5,6,8,9,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3040]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3041: autom. group order 2, simple, derived
B[3041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,7,8,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[3041]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3042: autom. group order 2, simple, derived
B[3042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,6,7,8,13],[2,4,7,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,8,9,11,12,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,8,9,10,13]];
G[3042]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3043: autom. group order 2, simple
B[3043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,12,13],[1,3,5,7,8,10],[1,4,5,7,11,12],[1,4,6,7,9,13],[1,4,8,9,11,12],[1,5,6,8,11,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,8,11,12],[2,4,5,6,9,13],[2,4,6,8,10,12],[2,4,7,8,10,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,7,8,9,11,13],[3,4,5,10,11,13],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,8,9],[3,5,8,9,12,13],[3,6,7,10,12,13],[4,5,8,9,10,12]];
G[3043]:=Group([(1,13)(2,12)(4,7)(5,10)(8,11)]);
# Design 3044: autom. group order 2, simple
B[3044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,7,8,11,13],[1,5,6,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,6,11,12],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,7,9,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,8,9,10,13]];
G[3044]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3045: autom. group order 2, simple
B[3045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,12],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,6,9,12],[3,4,7,9,10,11],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[3045]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3046: autom. group order 2, simple
B[3046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,6,8,9],[3,4,7,8,11,12],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,9,12,13],[4,5,7,9,10,12]];
G[3046]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3047: autom. group order 2, simple
B[3047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,12],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,6,9,12],[3,4,7,9,10,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[3047]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3048: autom. group order 2, simple
B[3048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,6,9,12],[3,4,7,9,10,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,8,9,10,13]];
G[3048]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3049: autom. group order 2, simple
B[3049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,6,7,9],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,8,9,10,13]];
G[3049]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3050: autom. group order 2, simple
B[3050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,11,13],[2,5,9,10,11,12],[2,6,8,10,12,13],[3,4,5,6,11,12],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,7,9,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,8,9,10,13]];
G[3050]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3051: autom. group order 2, simple
B[3051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,7,8,9,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,8,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,6,9,10,13],[3,7,10,11,12,13],[4,5,7,9,10,12]];
G[3051]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3052: autom. group order 2, simple
B[3052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,12],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3052]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3053: autom. group order 2, simple, derived
B[3053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,8,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,8,10],[2,4,6,9,12,13],[2,4,7,8,9,11],[2,5,7,8,11,12],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3053]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3054: autom. group order 2, simple
B[3054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,4,5,6,10,13],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,12,13],[3,4,5,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,6,9,11,13],[3,7,10,11,12,13],[4,5,7,9,10,12]];
G[3054]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3055: autom. group order 2, simple
B[3055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,8,11,12],[1,5,6,7,8,11],[1,6,7,9,12,13],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3055]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3056: autom. group order 2, simple
B[3056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3056]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3057: autom. group order 2, simple
B[3057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,9,10,11],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,11,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3057]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3058: autom. group order 2, simple
B[3058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,4,5,6,7,10],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,11,13],[2,5,9,10,11,12],[2,6,8,10,12,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,7,8,10,11,12],[4,5,8,9,10,13]];
G[3058]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3059: autom. group order 2, simple
B[3059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,8,11,12],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,6,7,9,13],[2,4,8,9,11,12],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,10,12,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,11,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3059]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3060: autom. group order 2, simple
B[3060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,12,13],[1,3,5,7,8,10],[1,4,5,7,11,12],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,8,9,12],[1,6,7,8,10,13],[1,6,7,9,11,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,6,7,10,12],[2,4,7,8,9,13],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,8,11,12,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[3,7,9,10,12,13],[4,5,7,9,10,12]];
G[3060]:=Group([(1,13)(2,12)(4,8)(7,11)]);
# Design 3061: autom. group order 2, simple
B[3061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,7,8,9,11,13],[4,5,7,9,10,12]];
G[3061]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3062: autom. group order 2, simple
B[3062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,7,8,9,11,13],[4,5,7,9,10,12]];
G[3062]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3063: autom. group order 2, simple
B[3063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,11,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,6,7,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,7,8,9,11,12],[4,5,8,9,10,13]];
G[3063]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3064: autom. group order 2, simple
B[3064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,5,6,7,9,11],[3,5,8,9,11,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3064]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3065: autom. group order 2, simple
B[3065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,8,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,6,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,11],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3065]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3066: autom. group order 2, simple
B[3066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,4,5,6,8,9],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,7,9,11],[3,4,6,7,12,13],[3,4,6,9,10,12],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,7,8,9,11,12],[4,5,8,9,10,13]];
G[3066]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3067: autom. group order 2, simple, derived
B[3067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,8,11,12],[1,5,6,7,8,11],[1,6,7,9,12,13],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,5,6,7,9,11],[3,5,8,9,11,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3067]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3068: autom. group order 2, simple
B[3068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,9,11],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,8,9,11,12,13],[4,5,7,9,10,12]];
G[3068]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3069: autom. group order 2, simple
B[3069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,7,11,12,13],[1,5,6,8,9,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,4,5,6,9,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,8,9,11,12,13],[4,5,7,9,10,12]];
G[3069]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3070: autom. group order 2, simple
B[3070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,8,11,12],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,6,7,9],[2,4,8,11,12,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,6,10,12,13],[3,5,6,9,11,12],[3,5,7,8,9,11],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3070]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3071: autom. group order 2, simple
B[3071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,8,10,13],[1,4,7,11,12,13],[1,5,6,8,9,12],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,11,12,13],[2,4,5,10,11,12],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,7,8,10,11,13],[3,4,5,8,11,13],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,7,12,13],[3,7,8,9,10,12],[4,5,9,10,12,13]];
G[3071]:=Group([(1,7)(3,8)(5,12)(9,13)]);
# Design 3072: autom. group order 2, simple
B[3072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,7,9,11],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3072]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3073: autom. group order 2, simple
B[3073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,7,8,11,13],[1,5,6,7,11,13],[1,6,8,9,12,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,6,9,11,13],[2,5,7,8,9,11],[2,7,8,9,10,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,8,9,10],[3,7,10,11,12,13],[4,5,7,9,10,12]];
G[3073]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3074: autom. group order 2, simple, derived
B[3074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,7,8,11,13],[1,5,6,7,8,11],[1,6,8,9,12,13],[1,6,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,7,8,9,10,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,10],[3,7,8,10,11,12],[4,5,7,9,10,12]];
G[3074]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3075: autom. group order 2, simple, derived
B[3075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,9,10],[1,4,8,11,12,13],[1,5,6,7,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,7,9,11,12,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3075]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3076: autom. group order 2, simple, derived
B[3076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,6,7,9,12],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,11,12,13],[2,4,5,10,11,12],[2,4,6,7,8,12],[2,4,6,9,10,13],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,7,8,9,10,11],[3,4,5,7,11,13],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,7,8,10,12,13],[4,5,9,10,12,13]];
G[3076]:=Group([(1,7)(3,8)(5,12)]);
# Design 3077: autom. group order 2, simple
B[3077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,8,11,12],[1,5,6,7,8,11],[1,6,7,9,12,13],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3077]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3078: autom. group order 2, simple
B[3078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,7,8,9,11,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3078]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3079: autom. group order 2, simple
B[3079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,8,11,12],[1,5,6,7,11,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,11,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3079]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3080: autom. group order 2, simple
B[3080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,8,10,11,12,13],[4,5,7,9,10,12]];
G[3080]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3081: autom. group order 2, simple
B[3081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,11,12,13],[1,5,6,8,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,6,9,11,13],[2,5,7,8,9,11],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,8,10,11,12,13],[4,5,7,9,10,12]];
G[3081]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3082: autom. group order 2, simple
B[3082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,9,11],[1,4,6,9,10,13],[1,4,7,11,12,13],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,8,10,11,12,13],[4,5,7,9,10,12]];
G[3082]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3083: autom. group order 2, simple
B[3083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,4,7,11,12,13],[1,5,6,8,9,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,6,8,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[3,8,10,11,12,13],[4,5,7,9,10,12]];
G[3083]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3084: autom. group order 2, simple
B[3084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,4,7,8,11,12],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,6,8,12,13],[2,4,6,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,7,8,9,11,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,9,11,12],[3,7,8,9,10,12],[4,5,8,9,10,13]];
G[3084]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3085: autom. group order 2, simple
B[3085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,6,8,11,12],[1,4,6,10,12,13],[1,4,7,10,11,13],[1,5,6,7,9,12],[1,5,8,9,10,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,7,8,13],[2,4,5,9,10,11],[2,4,8,9,10,12],[2,5,7,11,12,13],[2,6,7,9,11,12],[2,6,8,10,12,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,10,11,13],[3,5,7,8,10,12],[3,6,7,8,9,10],[4,5,6,8,9,11]];
G[3085]:=Group([(1,6)(2,7)(3,9)(4,12)(8,11)]);
# Design 3086: autom. group order 2, simple
B[3086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,9,12],[1,4,6,10,12,13],[1,4,7,9,11,13],[1,5,6,7,8,13],[1,5,7,8,9,11],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,5,9,12,13],[2,4,7,8,9,10],[2,5,7,11,12,13],[2,6,7,8,10,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,8,9,10,12],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[3086]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3087: autom. group order 2, simple
B[3087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,5,7,9,11,13],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[2,6,7,10,12,13],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,8,9,10,12],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[3087]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3088: autom. group order 2, simple
B[3088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,9,12],[1,4,6,10,12,13],[1,4,7,9,11,13],[1,5,6,7,8,13],[1,5,7,8,9,11],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,5,9,12,13],[2,4,7,8,9,10],[2,5,7,11,12,13],[2,6,7,8,10,12],[2,6,7,9,10,13],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[3088]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3089: autom. group order 2, simple
B[3089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,5,7,9,11,13],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[2,6,7,10,12,13],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[3089]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3090: autom. group order 2, simple, derived
B[3090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,10,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,4,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,7,11,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3090]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3091: autom. group order 2, simple
B[3091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,11],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[3091]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3092: autom. group order 2, simple, derived
B[3092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,10,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,12],[2,4,5,8,11,13],[2,4,6,7,11,12],[2,5,7,9,10,13],[2,6,7,9,11,12],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,6,7,11,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3092]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3093: autom. group order 2, simple
B[3093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,7,8,12,13],[2,4,5,8,11,13],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,5,7,8,9,10],[2,6,7,9,11,12],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,7,9,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[3093]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3094: autom. group order 2, simple, derived
B[3094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,13],[1,4,6,7,11,12],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,5,7,11,12,13],[2,6,7,8,11,12],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[3094]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3095: autom. group order 2, simple, derived
B[3095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,12],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,5,8,9,13],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,6,7,8,10,12],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[3095]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3096: autom. group order 2, simple, derived
B[3096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,11,13],[1,4,6,8,9,12],[1,4,7,9,11,12],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,8,10,12],[2,4,8,9,10,13],[2,5,7,11,12,13],[2,6,7,8,11,12],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[3096]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3097: autom. group order 2, simple, derived
B[3097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,13],[1,4,6,8,11,12],[1,4,7,9,11,12],[1,5,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,7,10,13],[2,4,5,8,9,12],[2,4,8,9,10,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[3097]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3098: autom. group order 2, simple, derived
B[3098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,11,12],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,8,11,12],[2,4,8,9,10,12],[2,5,7,8,10,13],[2,6,7,9,10,12],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,9,10,11]];
G[3098]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3099: autom. group order 2, simple, derived
B[3099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,11,12],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,7,8,10,13],[2,6,7,11,12,13],[2,6,8,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,9,10,11]];
G[3099]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3100: autom. group order 2, simple, derived
B[3100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,11,12],[1,4,6,8,9,12],[1,4,8,9,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,5,7,8,11,12],[2,6,7,11,12,13],[2,6,8,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[3100]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3101: autom. group order 2, simple, derived
B[3101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,9,10,11]];
G[3101]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3102: autom. group order 2, simple, derived
B[3102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,12],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,9,11,13],[2,3,6,8,11,13],[2,4,5,7,11,12],[2,4,5,8,9,13],[2,4,7,9,10,13],[2,5,8,9,10,12],[2,6,7,8,11,12],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[3102]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3103: autom. group order 2, simple, derived
B[3103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,10,13],[1,4,6,8,9,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,5,8,11,12],[2,4,7,9,10,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[2,6,7,11,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,9,10,11]];
G[3103]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3104: autom. group order 2, simple, derived
B[3104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,9,12],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,7,11,12],[2,4,8,9,10,12],[2,5,8,10,12,13],[2,6,7,8,11,12],[2,6,7,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,9,10,11]];
G[3104]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3105: autom. group order 2, simple, derived
B[3105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,9,13],[1,4,6,8,10,12],[1,4,7,9,11,13],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,9,11,12],[2,3,6,8,11,13],[2,4,5,7,9,12],[2,4,5,7,11,13],[2,4,8,9,10,12],[2,5,8,9,10,13],[2,6,7,8,11,12],[2,6,7,10,12,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11]];
G[3105]:=Group([(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 3106: autom. group order 2, simple
B[3106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,8,10,11,13],[1,6,9,10,12,13],[2,3,7,10,12,13],[2,4,5,8,9,12],[2,4,5,10,11,13],[2,4,6,9,11,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[2,6,8,10,11,12],[3,4,5,6,10,12],[3,4,7,11,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,6,7,8,9,10],[4,5,7,9,10,12]];
G[3106]:=Group([(1,5)(2,6)(7,10)(8,12)(9,13)]);
# Design 3107: autom. group order 2, simple
B[3107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,6,11,12,13],[1,4,7,8,9,11],[1,4,7,10,11,13],[1,5,6,8,9,10],[1,5,7,9,12,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,7,11,12],[2,6,7,9,11,13],[2,8,9,10,11,12],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,6,9,10,12],[3,5,7,8,9,13],[3,5,7,10,11,12],[3,6,7,8,10,13],[4,5,6,8,9,11]];
G[3107]:=Group([(2,13)(3,12)(4,6)(5,11)(7,10)]);
# Design 3108: autom. group order 2, simple
B[3108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,7,8,9],[1,5,7,9,12,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,10,11,12],[2,6,7,9,11,13],[2,7,8,9,11,12],[3,4,5,7,11,13],[3,4,6,7,9,12],[3,4,6,9,10,12],[3,5,7,10,11,12],[3,5,8,9,10,13],[3,6,7,8,10,13],[4,5,6,8,9,11]];
G[3108]:=Group([(2,13)(3,12)(4,6)(5,11)(7,10)]);
# Design 3109: autom. group order 2, simple
B[3109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,8,9],[1,4,7,10,11,13],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,8,11,12],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,6,7,9,10,13],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,7,8,9,10],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[3109]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3110: autom. group order 2, simple
B[3110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,8,9],[1,4,7,10,11,13],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,5,8,11,12],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,6,7,9,10,13],[2,7,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,11,12,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,7,8,9,11],[4,5,6,9,10,11]];
G[3110]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3111: autom. group order 2, simple, derived
B[3111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,6,7,8,9,10],[2,7,10,11,12,13],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,8,9,10,12],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[3111]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3112: autom. group order 2, simple, derived
B[3112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,5,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,5,9,12,13],[2,4,7,8,9,10],[2,5,6,7,12,13],[2,6,7,9,10,13],[2,7,8,10,11,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,8,9,10,12],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[3112]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3113: autom. group order 2, simple, derived
B[3113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,9,12],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,6,7,8,9,10],[2,7,10,11,12,13],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[3113]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3114: autom. group order 2, simple, derived
B[3114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,5,7,8,11,13],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,8,11,12],[2,4,5,9,12,13],[2,4,7,8,9,10],[2,5,6,7,12,13],[2,6,7,9,10,13],[2,7,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,8,9,11,12],[4,5,6,9,10,11]];
G[3114]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3115: autom. group order 2, simple
B[3115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,6,8,9,10,12],[2,7,10,11,12,13],[3,4,5,10,12,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,7,8,9,10],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,9,10,11]];
G[3115]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3116: autom. group order 2, simple
B[3116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,7,11,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,6,8,9,10,12],[2,7,10,11,12,13],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,6,11,12,13],[3,5,7,9,11,12],[3,5,8,9,10,13],[3,6,7,8,9,11],[4,5,6,9,10,11]];
G[3116]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3117: autom. group order 2, simple, derived
B[3117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,8,11,12],[1,4,6,10,11,12],[1,4,7,9,11,13],[1,4,8,9,10,12],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,8,9,10],[2,4,5,11,12,13],[2,4,7,8,12,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[2,6,9,10,12,13],[3,4,5,7,10,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,5,6,7,9,12],[3,5,8,9,10,13],[3,7,8,10,11,12],[4,5,6,8,9,11]];
G[3117]:=Group([(1,12)(3,13)(6,11)]);
# Design 3118: autom. group order 2, simple
B[3118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,13],[1,4,7,10,11,13],[1,4,8,9,11,12],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,11],[2,6,7,9,10,12],[3,4,5,6,9,13],[3,4,6,8,10,12],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,7,9,11,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[3118]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3119: autom. group order 2, simple, derived
B[3119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,8,9],[1,4,7,10,11,13],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,4,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,12],[2,6,7,9,11,13],[3,4,5,6,9,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3119]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3120: autom. group order 2, simple
B[3120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,9,13],[1,4,7,10,11,13],[1,4,8,9,11,12],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,4,5,8,11,13],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,5,7,8,9,10],[2,6,7,9,11,12],[2,6,8,9,10,13],[3,4,5,6,9,13],[3,4,6,8,10,12],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,7,9,11,13],[3,6,10,11,12,13],[4,5,7,9,10,12]];
G[3120]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3121: autom. group order 2, simple, derived
B[3121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,11],[1,3,5,7,10,12],[1,4,6,7,8,9],[1,4,7,10,11,13],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,4,5,8,10,12],[2,4,5,8,11,13],[2,4,6,7,11,12],[2,5,7,9,10,13],[2,6,7,9,11,12],[2,6,8,9,10,13],[3,4,5,6,9,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3121]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3122: autom. group order 2, simple
B[3122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,6,7,10,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,13],[1,5,8,9,11,12],[1,6,8,10,12,13],[2,3,7,8,12,13],[2,4,5,6,8,9],[2,4,5,11,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,6,7,8,9,10],[2,6,8,10,11,12],[3,4,5,8,10,12],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,9,10,13],[3,6,7,9,11,12],[4,5,7,9,10,12]];
G[3122]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3123: autom. group order 2, simple
B[3123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,6,10,11],[1,4,6,7,10,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,11,13],[1,5,8,9,11,12],[1,6,8,10,12,13],[2,3,7,8,12,13],[2,4,5,6,8,9],[2,4,5,11,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,6,7,8,9,10],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,8,11,12],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,13],[3,6,7,9,11,13],[4,5,7,9,10,12]];
G[3123]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3124: autom. group order 2, simple
B[3124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,7,10,11],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,5,6,9,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,7,11,12,13],[2,6,7,8,10,12],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3124]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3125: autom. group order 2, simple
B[3125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,6,9,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,11,13],[2,4,5,7,8,9],[2,4,9,10,12,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3125]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3126: autom. group order 2, simple
B[3126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,8,10,11],[1,4,8,9,11,12],[1,5,6,7,8,12],[1,5,6,9,11,13],[1,7,10,11,12,13],[2,3,6,8,11,13],[2,4,5,6,11,12],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,8,11,12,13],[2,6,7,8,10,13],[2,6,7,9,10,11],[3,4,5,7,10,11],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3126]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3127: autom. group order 2, simple, derived
B[3127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,6,9,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,6,11,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[2,6,8,9,10,11],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3127]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3128: autom. group order 2, simple
B[3128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,9,12],[1,4,6,8,10,11],[1,4,7,9,11,13],[1,5,6,7,12,13],[1,5,6,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,7,11],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,8,11,12,13],[2,6,7,8,10,13],[2,6,9,10,11,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3128]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3129: autom. group order 2, simple
B[3129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,4,7,8,9,11],[1,5,6,7,9,11],[1,5,6,8,12,13],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,7,11,12,13],[2,6,7,8,10,12],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3129]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3130: autom. group order 2, simple
B[3130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,10,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,12],[1,5,6,9,11,13],[1,7,10,11,12,13],[2,3,6,8,11,13],[2,4,5,6,11,12],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3130]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3131: autom. group order 2, simple
B[3131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,9,12],[1,4,6,8,10,11],[1,4,7,9,11,13],[1,5,6,7,12,13],[1,5,6,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,13],[2,4,5,6,11,12],[2,4,5,7,8,9],[2,4,9,10,12,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3131]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3132: autom. group order 2, simple
B[3132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,7,10,11],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,5,6,9,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,8,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,9,10,12,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3132]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3133: autom. group order 2, simple
B[3133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,5,6,9,11,12],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,8,9,10],[2,6,7,9,10,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[3,6,7,8,10,12],[4,5,7,9,10,12]];
G[3133]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3134: autom. group order 2, simple
B[3134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,7,8,13],[1,5,6,9,11,12],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,9,10,13],[2,6,7,8,9,10],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,6,7,10,12,13],[4,5,7,9,10,12]];
G[3134]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3135: autom. group order 2, simple
B[3135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,13],[1,5,6,9,11,12],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,8,9,10],[2,6,7,9,10,13],[2,7,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3135]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3136: autom. group order 2, simple
B[3136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,7,8,13],[1,5,6,9,11,12],[1,8,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,9,10,13],[2,6,7,8,9,10],[2,7,8,9,11,13],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3136]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3137: autom. group order 2, simple
B[3137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,5,6,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[3137]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3138: autom. group order 2, simple
B[3138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,5,6,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,7,8,9],[3,4,9,11,12,13],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3138]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3139: autom. group order 2, simple
B[3139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,10,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,6,8,9,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,7,8,11],[2,6,10,11,12,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[3139]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3140: autom. group order 2, simple
B[3140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,5,6,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[3140]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3141: autom. group order 2, simple
B[3141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,5,6,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,9,11],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[3141]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3142: autom. group order 2, simple, derived
B[3142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,10,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,6,8,9,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,8,11,12],[2,6,7,10,11,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,8,9],[3,4,9,11,12,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3142]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3143: autom. group order 2, simple, derived
B[3143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,7,8,12],[1,5,6,8,9,11],[1,7,10,11,12,13],[2,3,6,7,11,12],[2,4,5,8,10,11],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,9,10,13],[2,6,7,8,9,10],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3143]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3144: autom. group order 2, simple
B[3144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,5,6,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,8,11,12],[2,6,7,10,11,13],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3144]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3145: autom. group order 2, simple
B[3145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,8,9],[1,4,6,10,11,13],[1,4,9,11,12,13],[1,5,6,7,12,13],[1,5,6,8,9,11],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,8,9,10],[2,6,7,9,10,13],[2,7,8,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3145]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3146: autom. group order 2, simple, derived
B[3146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,10,11,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,6,8,9,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,8,11,12],[2,6,7,10,11,13],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,8,10],[3,5,10,11,12,13],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[3146]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3147: autom. group order 2, simple
B[3147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,4,10,11,12,13],[1,5,6,7,8,9],[1,5,6,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,12,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,8,11,12],[2,6,7,10,11,13],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[3147]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3148: autom. group order 2, simple
B[3148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,8,9],[1,4,6,10,11,13],[1,4,9,11,12,13],[1,5,6,7,12,13],[1,5,6,8,9,11],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,4,5,8,11,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,8,9,10],[2,6,7,9,10,13],[2,7,8,9,11,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,8,10,11,12],[4,5,7,9,10,12]];
G[3148]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3149: autom. group order 2, simple
B[3149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,4,8,10,11,12],[1,5,6,7,9,13],[1,5,6,9,11,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,4,5,7,12,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,5,6,7,8,11],[2,6,10,11,12,13],[2,7,8,9,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3149]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3150: autom. group order 2, simple
B[3150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,9,12],[1,4,6,8,10,11],[1,4,7,9,11,13],[1,5,6,7,12,13],[1,5,6,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,13],[2,4,5,7,8,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,5,6,8,11,12],[2,6,7,10,11,13],[2,8,9,10,12,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3150]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3151: autom. group order 2, simple
B[3151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,4,7,8,9,11],[1,5,6,7,9,11],[1,5,6,8,12,13],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,4,5,7,8,12],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3151]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3152: autom. group order 2, simple
B[3152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,10,11],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,7,8,12],[1,5,6,9,11,13],[1,7,10,11,12,13],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3152]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3153: autom. group order 2, simple
B[3153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,9,12],[1,4,6,8,10,11],[1,4,7,9,11,13],[1,5,6,7,12,13],[1,5,6,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,8,11],[2,6,10,11,12,13],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3153]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3154: autom. group order 2, simple, derived
B[3154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,13],[1,4,6,8,10,11],[1,4,7,11,12,13],[1,5,6,9,11,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[3154]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3155: autom. group order 2, simple, derived
B[3155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,13],[1,4,6,8,10,11],[1,4,7,11,12,13],[1,5,6,9,11,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,10],[3,5,7,8,11,13],[3,6,8,10,12,13],[4,5,7,9,10,12]];
G[3155]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3156: autom. group order 2, simple
B[3156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,5,7,8,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,9,10,12,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3156]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3157: autom. group order 2, simple
B[3157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,6,9,10,11,13],[2,7,8,10,11,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3157]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3158: autom. group order 2, simple
B[3158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,7,9,11],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,5,7,8,12],[2,4,8,9,10,11],[2,5,6,11,12,13],[2,6,7,8,10,11],[2,7,9,10,12,13],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3158]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3159: autom. group order 2, simple
B[3159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,13],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,7,9,11],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,9,12,13],[2,4,7,8,9,10],[2,5,6,7,12,13],[2,6,9,10,11,13],[2,7,8,10,11,12],[3,4,5,7,9,11],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3159]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3160: autom. group order 2, simple
B[3160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,8,10,11],[1,4,8,9,11,12],[1,5,6,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,4,5,6,7,11],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,6,9,10,11,12],[2,7,8,10,11,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3160]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3161: autom. group order 2, simple
B[3161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,8,10,11],[1,4,8,9,11,12],[1,5,6,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,4,5,6,9,12],[2,4,5,7,8,13],[2,4,7,9,10,11],[2,5,6,8,11,12],[2,6,7,10,11,13],[2,8,9,10,12,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3161]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3162: autom. group order 2, simple, derived
B[3162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,6,9,13],[2,4,5,7,8,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,9,10,12,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3162]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3163: autom. group order 2, simple, derived
B[3163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,6,9,10,11,13],[2,7,8,10,11,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3163]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3164: autom. group order 2, simple
B[3164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,6,9,11,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,8,11,12,13],[3,6,7,8,10,13],[4,5,7,9,10,12]];
G[3164]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3165: autom. group order 2, simple
B[3165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,8,10,11],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,6,9,11,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[2,3,6,7,11,12],[2,4,5,6,8,9],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,6,8,10,11,12],[2,7,8,9,10,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,8,9,12,13],[4,5,7,9,10,12]];
G[3165]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3166: autom. group order 2, simple
B[3166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,10,12,13],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,7,11,12,13],[2,6,7,8,10,12],[2,6,9,10,11,13],[3,4,5,6,9,12],[3,4,7,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3166]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3167: autom. group order 2, simple
B[3167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,6,11,13],[2,4,5,7,8,9],[2,4,9,10,12,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[2,6,8,9,10,11],[3,4,5,6,9,12],[3,4,7,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3167]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3168: autom. group order 2, simple
B[3168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,8,10,11],[1,4,8,9,11,12],[1,5,6,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,4,5,6,11,12],[2,4,5,7,8,9],[2,4,9,10,12,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,6,8,9,12],[3,7,8,9,11,12],[4,5,8,9,10,13]];
G[3168]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3169: autom. group order 2, simple
B[3169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,4,7,8,9,11],[1,5,6,7,9,11],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,6,8,11,13],[2,4,5,6,8,11],[2,4,5,7,9,13],[2,4,8,9,10,12],[2,5,7,11,12,13],[2,6,7,8,10,12],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,6,8,9,12],[3,7,8,9,11,12],[4,5,8,9,10,13]];
G[3169]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3170: autom. group order 2, simple
B[3170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,10,11],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,6,9,11,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,4,5,7,12,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,5,6,7,8,11],[2,6,10,11,12,13],[2,7,8,9,10,12],[3,4,5,6,9,12],[3,4,7,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,8,9,10,13]];
G[3170]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3171: autom. group order 2, simple
B[3171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,4,6,7,9,13],[1,4,6,8,10,11],[1,4,8,9,11,12],[1,5,6,9,11,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,4,5,7,9,11],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,8,11],[2,6,10,11,12,13],[2,7,8,9,10,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,6,8,9,12],[3,7,8,9,11,12],[4,5,8,9,10,13]];
G[3171]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]);
# Design 3172: autom. group order 2, simple, derived
B[3172]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,9,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,9,10,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,5,10,11,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,12,13],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[3172]:=Group([(1,8)(2,9)(5,11)(6,13)]);
# Design 3173: autom. group order 2, simple
B[3173]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,11,12],[1,3,6,7,8,13],[1,3,6,9,10,11],[1,4,6,7,9,11],[1,4,9,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,5,8,10,13],[3,4,7,8,11,12],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[3173]:=Group([(1,11)(2,12)(5,8)(6,9)]);
# Design 3174: autom. group order 2, simple
B[3174]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,9,12],[1,4,6,7,10,11],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,8,9,11],[3,5,7,8,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3174]:=Group([(1,5)(2,13)(3,10)(4,8)(6,12)]);
# Design 3175: autom. group order 2, simple, derived
B[3175]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,11,12],[1,3,6,7,9,11],[1,3,6,10,12,13],[1,4,6,9,11,13],[1,4,7,8,9,10],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,6,7,8,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,7,8,11,12],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3175]:=Group([(1,11)(2,12)(5,8)(6,9)]);
# Design 3176: autom. group order 2, simple
B[3176]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,8,12],[1,3,6,9,10,13],[1,4,6,8,12,13],[1,4,7,10,11,12],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,9,11,13],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,7,9,10,13],[2,5,6,9,11,12],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,7,8,9,11],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3176]:=Group([(1,8)(2,9)(5,11)(6,12)]);
# Design 3177: autom. group order 2, simple
B[3177]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,8,12],[1,3,6,9,10,13],[1,4,6,8,12,13],[1,4,7,10,11,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,7,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,10,11,13],[3,4,7,8,9,11],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3177]:=Group([(1,8)(2,9)(5,11)(6,12)]);
# Design 3178: autom. group order 2, simple
B[3178]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,10,11,12],[2,5,7,8,9,10],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[3178]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3179: autom. group order 2, simple
B[3179]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,8,9,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[3179]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3180: autom. group order 2, simple, derived
B[3180]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,7,8,11,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[3180]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3181: autom. group order 2, simple, derived
B[3181]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,7,8,9,13],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[3181]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3182: autom. group order 2, simple
B[3182]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,10,11,13],[1,4,6,11,12,13],[1,4,7,8,9,13],[1,5,7,9,10,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,9,11,12],[2,4,6,7,8,10],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,10,11,13],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,6,9,10,12]];
G[3182]:=Group([(2,9)(3,13)(4,7)(5,8)(10,11)]);
# Design 3183: autom. group order 2, simple
B[3183]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,6,10,11,13],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,9,10,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,9,10,12],[2,4,6,7,8,10],[2,4,9,11,12,13],[2,5,6,8,10,13],[2,5,7,10,11,13],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,6,9,10,12]];
G[3183]:=Group([(2,9)(3,13)(4,7)(5,8)(10,11)]);
# Design 3184: autom. group order 2, simple, derived
B[3184]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,8,9,10],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[3184]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3185: autom. group order 2, simple, derived
B[3185]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,8,11,12,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,8,9,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[3185]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3186: autom. group order 2, simple, derived
B[3186]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,7,8,9,13],[3,4,8,11,12,13],[3,5,6,9,11,13],[3,5,7,8,10,11],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[3186]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3187: autom. group order 2, simple, derived
B[3187]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,8,12],[1,3,6,9,10,13],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,7,8,10,13],[1,5,9,10,11,12],[1,6,7,8,11,12],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,8,10,12],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[3187]:=Group([(1,9)(2,8)(5,11)(6,13)]);
# Design 3188: autom. group order 2, simple, derived
B[3188]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,8,12],[1,3,6,9,10,13],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,7,8,12,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,8,10,12],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[3188]:=Group([(1,9)(2,8)(5,11)(6,13)]);
# Design 3189: autom. group order 2, simple
B[3189]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,7,8,11,13],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[3189]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3190: autom. group order 2, simple
B[3190]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,7,8,9,13],[3,4,8,11,12,13],[3,5,6,7,11,13],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[3190]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3191: autom. group order 2, simple
B[3191]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,6,9,11,12],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,5,10,12,13],[3,4,7,9,11,13],[3,4,8,9,11,13],[3,5,6,7,9,10],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,8,9,12]];
G[3191]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 3192: autom. group order 2, simple
B[3192]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,6,9,11,12],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,7,10,11,12],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,11,12,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,10,12,13],[3,4,7,9,11,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,8,9,10]];
G[3192]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 3193: autom. group order 2, simple
B[3193]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,9,12,13],[1,4,6,9,10,11],[1,4,7,11,12,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,7,9,10,12],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3193]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3194: autom. group order 2, simple
B[3194]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,9,12,13],[1,4,6,9,10,11],[1,4,7,11,12,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,7,9,10,12],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3194]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3195: autom. group order 2, simple
B[3195]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,12,13],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,10,11],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3195]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3196: autom. group order 2, simple
B[3196]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,12,13],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,10,11],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3196]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3197: autom. group order 2, simple
B[3197]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,9,11,12],[1,4,6,9,12,13],[1,4,7,8,10,11],[1,5,7,10,11,13],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,12,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,10,11,12]];
G[3197]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3198: autom. group order 2, simple
B[3198]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,8,10,11],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,12,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,10,11,12]];
G[3198]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3199: autom. group order 2, simple
B[3199]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,10,12],[1,4,6,9,11,12],[1,4,7,8,10,13],[1,5,7,8,10,11],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,7,8,9,12],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,8,12,13]];
G[3199]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3200: autom. group order 2, simple
B[3200]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,10,12],[1,4,6,10,11,13],[1,4,7,8,9,12],[1,5,7,8,10,11],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,3,8,10,12,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,8,12,13]];
G[3200]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3201: autom. group order 2, simple
B[3201]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,9,11,12],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,10,11,13],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,6,9,12,13],[2,4,7,8,10,11],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,12,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,10,11,12]];
G[3201]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3202: autom. group order 2, simple
B[3202]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,10,11,13],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,6,9,12,13],[2,4,7,8,10,11],[2,5,6,7,12,13],[2,5,7,8,10,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,12,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,10,11,12]];
G[3202]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3203: autom. group order 2, simple
B[3203]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,11,12],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3203]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3204: autom. group order 2, simple
B[3204]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,11,12],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3204]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3205: autom. group order 2, simple
B[3205]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,10,11,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,11,12],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,7,8,10,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3205]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3206: autom. group order 2, simple
B[3206]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,10,11,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,11,12],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,7,8,10,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3206]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3207: autom. group order 2, simple
B[3207]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,8,11,13],[1,4,6,9,10,11],[1,4,7,11,12,13],[1,5,7,9,10,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3207]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3208: autom. group order 2, simple
B[3208]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,11,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3208]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3209: autom. group order 2, simple
B[3209]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,8,11,13],[1,4,6,9,10,11],[1,4,7,11,12,13],[1,5,7,9,10,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3209]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3210: autom. group order 2, simple
B[3210]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,11,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3210]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3211: autom. group order 2, simple
B[3211]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,11,13],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3211]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3212: autom. group order 2, simple
B[3212]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,11,13],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3212]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3213: autom. group order 2, simple
B[3213]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,9,12],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3213]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3214: autom. group order 2, simple
B[3214]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3214]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3215: autom. group order 2, simple
B[3215]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3215]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3216: autom. group order 2, simple
B[3216]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3216]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3217: autom. group order 2, simple
B[3217]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3217]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3218: autom. group order 2, simple
B[3218]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,6,10,11,12],[1,4,7,9,10,11],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,11,13],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3218]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3219: autom. group order 2, simple
B[3219]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,11],[1,4,6,9,11,12],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,7,8,9,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,8,12,13]];
G[3219]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3220: autom. group order 2, simple
B[3220]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,11],[1,4,6,10,11,13],[1,4,7,8,9,12],[1,5,7,9,10,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,6,8,12,13]];
G[3220]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3221: autom. group order 2, simple, derived
B[3221]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,6,11,12,13],[1,4,6,7,9,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,8,10],[2,3,7,9,12,13],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3221]:=Group([(1,5)(2,13)(3,8)(4,10)(6,12)(9,11)]);
# Design 3222: autom. group order 2, simple
B[3222]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,9,11,12],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,5,10,12,13],[3,4,7,9,11,13],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,6,8,11,12]];
G[3222]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 3223: autom. group order 2, simple
B[3223]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,6,9,11,12],[1,4,6,7,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,10,12,13],[3,4,7,9,11,13],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,8,10,11]];
G[3223]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 3224: autom. group order 2, simple, derived
B[3224]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,9,10,12],[1,3,6,10,11,13],[1,4,6,7,9,12],[1,4,8,10,11,13],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,7,8,11,12],[2,3,6,7,8,13],[2,3,8,9,12,13],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,9,10,11,12],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,7,9,11,13],[3,5,6,11,12,13],[3,5,7,8,10,12],[4,5,6,8,9,10],[4,5,6,8,9,13]];
G[3224]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3225: autom. group order 2, simple, derived
B[3225]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,6,7,9,12],[1,4,8,10,11,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,11,12],[2,3,6,7,8,10],[2,3,8,9,12,13],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,9,10,11,12],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,8,9,10],[4,5,6,8,9,13]];
G[3225]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3226: autom. group order 2, simple, derived
B[3226]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,6,7,9,12],[1,4,8,10,11,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,11,12],[2,3,6,7,8,13],[2,3,8,9,10,12],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,9,11,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,8,9,10],[4,5,6,8,9,13]];
G[3226]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3227: autom. group order 2, simple, derived
B[3227]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,6,9,12,13],[1,4,6,7,9,12],[1,4,8,10,11,13],[1,5,7,9,10,12],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,7,10,11],[2,3,9,10,11,12],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,7,8,9,13],[3,4,7,9,11,13],[3,5,6,11,12,13],[3,5,7,8,10,12],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[3227]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3228: autom. group order 2, simple, derived
B[3228]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,10],[1,3,6,8,11,12],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,7,8,11],[2,4,8,9,11,13],[2,5,6,10,11,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,6,9,10,11]];
G[3228]:=Group([(3,5)(6,7)]);
# Design 3229: autom. group order 2, simple, derived
B[3229]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,10],[1,3,6,8,11,12],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,8,9,11,13],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,6,9,10,11]];
G[3229]:=Group([(3,5)(6,7)]);
# Design 3230: autom. group order 2, simple, derived
B[3230]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,10],[1,3,6,8,11,12],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,6,7,9,12],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,7,10,12],[3,5,9,10,12,13],[4,5,6,8,9,13],[4,5,6,8,10,11]];
G[3230]:=Group([(3,5)(6,7)]);
# Design 3231: autom. group order 2, simple, derived
B[3231]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,10],[1,3,6,8,11,12],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,7,9,12],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,7,10,12],[3,5,9,10,12,13],[4,5,6,8,9,13],[4,5,6,8,10,11]];
G[3231]:=Group([(3,5)(6,7)]);
# Design 3232: autom. group order 2, simple, derived
B[3232]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,6,11,12,13],[1,4,6,8,9,10],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,7,8,12,13],[1,6,7,9,10,13],[2,3,6,7,8,13],[2,3,8,9,12,13],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,9,10,11,12],[2,6,7,8,9,11],[3,4,5,9,10,13],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,6,8,11,13]];
G[3232]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3233: autom. group order 2, simple, derived
B[3233]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,6,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,11],[1,5,7,8,10,12],[1,5,7,8,12,13],[1,6,7,9,10,13],[2,3,6,7,8,10],[2,3,8,9,12,13],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,9,10,11,12],[2,6,7,8,9,11],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,6,8,10,11]];
G[3233]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3234: autom. group order 2, simple, derived
B[3234]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,6,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,11],[1,5,7,8,10,12],[1,5,7,8,12,13],[1,6,7,9,10,13],[2,3,6,7,8,13],[2,3,8,9,10,12],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,9,11,12,13],[2,6,7,8,9,11],[3,4,5,9,10,13],[3,4,7,8,11,13],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,6,8,10,11]];
G[3234]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3235: autom. group order 2, simple, derived
B[3235]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,11,12,13],[1,4,6,8,9,10],[1,4,7,9,11,13],[1,5,7,8,10,12],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,6,7,10,11],[2,3,9,10,11,12],[2,4,6,10,12,13],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,8,10,11],[4,5,6,9,11,12]];
G[3235]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3236: autom. group order 2, simple, derived
B[3236]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,11,12,13],[1,4,6,9,10,11],[1,4,7,8,9,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,8,9,13],[2,3,7,8,10,11],[2,4,7,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,12],[2,5,6,9,10,12],[2,6,7,8,11,13],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,7,9,11,12],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,8,9,13]];
G[3236]:=Group([(1,5)(2,13)(3,10)(4,8)(6,12)(9,11)]);
# Design 3237: autom. group order 2, simple
B[3237]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,6,8,11,13],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,9,10,12,13],[1,6,7,10,11,12],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,7,8,10,12],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,6,7,8,9,13],[3,4,5,10,12,13],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[3237]:=Group([(1,11)(2,8)(3,5)(4,12)(6,9)]);
# Design 3238: autom. group order 2, simple
B[3238]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,6,8,11,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,8,10,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,7,8,9,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,8,10,11],[2,6,7,8,12,13],[3,4,5,10,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[3238]:=Group([(1,11)(2,8)(3,5)(4,12)(6,9)]);
# Design 3239: autom. group order 2, simple
B[3239]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,6,10,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,11,13],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,12,13],[4,5,6,9,10,11]];
G[3239]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3240: autom. group order 2, simple
B[3240]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,6,10,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,11,13],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,12,13],[3,5,7,9,10,11],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3240]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3241: autom. group order 2, simple
B[3241]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,6,10,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,11,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,10,11],[3,5,7,9,12,13],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3241]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3242: autom. group order 2, simple
B[3242]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,6,9,10,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,12,13],[4,5,6,9,10,11]];
G[3242]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3243: autom. group order 2, simple
B[3243]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,6,9,10,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,12,13],[3,5,7,9,10,11],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3243]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3244: autom. group order 2, simple
B[3244]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,9,10,11],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3244]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3245: autom. group order 2, simple
B[3245]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,6,9,10,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,10,11],[3,5,7,9,12,13],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3245]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3246: autom. group order 2, simple
B[3246]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,6,9,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,12,13],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3246]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3247: autom. group order 2, simple
B[3247]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,6,9,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,12,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3247]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3248: autom. group order 2, simple
B[3248]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,9,10,11],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3248]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3249: autom. group order 2, simple
B[3249]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,6,9,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,12,13],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,11,13],[3,5,7,9,10,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[3249]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3250: autom. group order 2, simple
B[3250]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,9,10,11],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,8,11,13],[3,5,7,9,10,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[3250]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3251: autom. group order 2, simple
B[3251]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,6,9,10,12],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,7,10,11,12],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,7,8,10,12],[2,4,9,11,12,13],[2,5,6,8,10,11],[2,5,6,10,12,13],[2,6,7,8,9,13],[3,4,5,10,12,13],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,6,9,10,11]];
G[3251]:=Group([(1,11)(2,8)(3,5)(4,12)(6,9)]);
# Design 3252: autom. group order 2, simple
B[3252]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,6,9,12,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,9,10,11],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,7,8,9,13],[2,4,9,10,11,12],[2,5,6,8,10,11],[2,5,6,10,12,13],[2,6,7,8,12,13],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,8,9,10,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[3252]:=Group([(1,11)(2,8)(3,5)(4,12)(6,9)]);
# Design 3253: autom. group order 2, simple, derived
B[3253]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,11],[1,3,6,9,12,13],[1,4,6,7,12,13],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,8,9,10],[2,5,6,7,8,12],[2,5,6,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,8,9,13],[4,5,7,9,11,12]];
G[3253]:=Group([(1,5)(2,13)(3,10)(4,8)(6,12)(9,11)]);
# Design 3254: autom. group order 2, simple
B[3254]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,6,9,10,13],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,7,8,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,8,9,12],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,6,8,10,11],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,5,6,8,11,13],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[3254]:=Group([(1,5)(2,13)(3,8)(4,12)(6,10)(9,11)]);
# Design 3255: autom. group order 2, simple, derived
B[3255]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,11,12,13],[1,4,6,7,8,9],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,7,8,10,11],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,6,9,10,12],[2,6,7,8,11,13],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,6,8,9,13],[4,5,7,8,11,12]];
G[3255]:=Group([(1,5)(2,13)(3,10)(4,8)(6,12)(9,11)]);
# Design 3256: autom. group order 2, simple, derived
B[3256]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,13],[1,3,6,8,10,11],[1,4,6,7,10,12],[1,4,9,11,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,8,12,13],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[3256]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3257: autom. group order 2, simple
B[3257]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,13],[1,3,6,8,12,13],[1,4,6,7,10,12],[1,4,9,11,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,8,10,11],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,9,10,13],[4,5,7,8,12,13]];
G[3257]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3258: autom. group order 2, simple, derived
B[3258]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,6,9,10,11],[1,4,6,7,10,12],[1,4,8,11,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,9,12,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,6,8,10,13],[4,5,7,9,10,11]];
G[3258]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3259: autom. group order 2, simple
B[3259]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,6,9,12,13],[1,4,6,7,10,12],[1,4,8,11,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,6,8,10,13],[4,5,7,9,12,13]];
G[3259]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3260: autom. group order 2, simple, derived
B[3260]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,6,9,12,13],[1,4,6,9,10,11],[1,4,7,8,10,13],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,8,9,11],[3,4,5,9,10,12],[3,4,6,7,8,12],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,6,11,12,13],[4,5,7,9,10,11]];
G[3260]:=Group([(1,10)(2,3)(4,12)(5,11)(6,13)(8,9)]);
# Design 3261: autom. group order 2, simple
B[3261]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,6,8,10,11],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,8,12,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[3261]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3262: autom. group order 2, simple, derived
B[3262]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,11,12,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,6,9,10,12],[2,6,7,8,9,13],[3,4,5,8,9,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,8,9,10],[4,5,7,8,11,13]];
G[3262]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3263: autom. group order 2, simple, derived
B[3263]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,11,12,13],[2,3,8,9,10,13],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,6,7,9,10],[2,5,6,10,11,12],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[3263]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3264: autom. group order 2, simple
B[3264]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,9,10,11],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,5,8,11,12,13],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,7,9,10,11]];
G[3264]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3265: autom. group order 2, simple
B[3265]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,11,12],[1,4,6,9,10,13],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,7,8,9,11],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,8,9,12,13],[4,5,6,11,12,13],[4,5,7,9,10,11]];
G[3265]:=Group([(1,10)(2,3)(4,11)(5,13)(6,12)(8,9)]);
# Design 3266: autom. group order 2, simple
B[3266]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,9,11,12],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,7,8,12],[2,5,6,8,10,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,6,8,10,11],[3,4,7,8,11,13],[3,5,6,7,11,13],[3,5,8,9,10,12],[4,5,6,9,11,12],[4,5,7,8,9,12]];
G[3266]:=Group([(1,9)(3,11)(4,7)(5,10)(8,13)]);
# Design 3267: autom. group order 2, simple
B[3267]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,6,9,11,12],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,6,8,10,12],[2,4,7,9,10,11],[2,5,6,7,12,13],[2,5,6,8,10,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,8,11],[3,5,8,9,10,12],[4,5,6,9,11,12],[4,5,7,8,9,12]];
G[3267]:=Group([(1,9)(3,11)(4,7)(5,10)(8,13)]);
# Design 3268: autom. group order 2, simple, derived
B[3268]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,6,11,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[3268]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3269: autom. group order 2, simple
B[3269]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,9,11,12],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,11,12,13],[1,6,7,8,9,12],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,7,9,10,12]];
G[3269]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3270: autom. group order 2, simple
B[3270]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,11,12],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,9,12,13]];
G[3270]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3271: autom. group order 2, simple
B[3271]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,10,11,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,7,8,11,13],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,10,11,13]];
G[3271]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3272: autom. group order 2, simple
B[3272]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,10,11,12],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,6,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3272]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3273: autom. group order 2, simple
B[3273]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,12],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,10,11,13]];
G[3273]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3274: autom. group order 2, simple
B[3274]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,10,11,13]];
G[3274]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3275: autom. group order 2, simple
B[3275]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,9,11,12],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,11,12,13],[1,6,7,8,9,12],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,13],[3,5,7,9,10,12],[4,5,6,10,11,12],[4,5,7,8,9,13]];
G[3275]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3276: autom. group order 2, simple
B[3276]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,10,11],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,7,8,12,13],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,9,10]];
G[3276]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3277: autom. group order 2, simple
B[3277]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,10,11],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,7,8,12,13],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,9,11,12],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,9,10]];
G[3277]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3278: autom. group order 2, simple
B[3278]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,9,11,12],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,9,12]];
G[3278]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3279: autom. group order 2, simple
B[3279]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,10,11,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,12],[2,3,7,8,11,13],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,9,12,13],[4,5,6,10,11,13],[4,5,7,8,10,11]];
G[3279]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3280: autom. group order 2, simple
B[3280]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,10,11,12],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,6,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3280]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3281: autom. group order 2, simple
B[3281]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,8,11,13],[1,4,6,9,10,12],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,11,12],[2,3,7,10,11,12],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,10,11,13]];
G[3281]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3282: autom. group order 2, simple
B[3282]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,8,12,13],[1,4,6,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,11,12,13],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,8,10,13],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,7,9,10,12]];
G[3282]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3283: autom. group order 2, simple
B[3283]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,12,13],[1,4,6,9,10,11],[1,4,10,11,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[2,3,7,9,11,12],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,8,10,13],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,9,12,13]];
G[3283]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3284: autom. group order 2, simple
B[3284]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,11,13],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,7,10,11,12],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,8,9,13],[2,5,6,8,9,12],[2,5,6,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3284]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3285: autom. group order 2, simple
B[3285]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,8,11,13],[1,4,6,10,11,12],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,12],[2,3,7,9,10,12],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,10,11,13]];
G[3285]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3286: autom. group order 2, simple
B[3286]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,8,11,13],[1,4,6,10,11,12],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[2,3,7,9,10,12],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,8,9,13],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,10,11,13]];
G[3286]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3287: autom. group order 2, simple
B[3287]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,8,11,13],[1,4,6,9,10,12],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,11,12],[2,3,7,10,11,12],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,9,12,13],[4,5,6,10,11,13],[4,5,7,8,10,11]];
G[3287]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3288: autom. group order 2, simple
B[3288]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,6,8,12,13],[1,4,6,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,7,11,12,13],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,10,11,12,13],[2,4,6,7,12,13],[2,4,7,8,10,13],[2,5,6,8,9,12],[2,5,6,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,13],[3,5,7,9,10,12],[4,5,6,10,11,12],[4,5,7,8,9,13]];
G[3288]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3289: autom. group order 2, simple
B[3289]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,10,11,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,8,12,13],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,9,10]];
G[3289]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3290: autom. group order 2, simple
B[3290]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,12,13],[1,4,6,9,10,11],[1,4,10,11,12,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[2,3,7,9,11,12],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,8,10,13],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,9,12]];
G[3290]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3291: autom. group order 2, simple
B[3291]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,8,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,9,10]];
G[3291]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3292: autom. group order 2, simple
B[3292]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,6,8,11,13],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,7,10,11,12],[2,3,9,10,12,13],[2,4,6,7,10,13],[2,4,7,8,9,13],[2,5,6,8,9,12],[2,5,6,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3292]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3293: autom. group order 2, simple, derived
B[3293]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,6,7,8,13],[2,4,7,9,10,11],[2,5,6,9,10,13],[2,5,6,10,11,12],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,6,8,10,11],[4,5,7,11,12,13]];
G[3293]:=Group([(1,4)(2,12)(3,13)(5,9)(7,10)(8,11)]);
# Design 3294: autom. group order 2, simple, derived
B[3294]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,6,9,12,13],[1,4,6,7,10,11],[1,4,8,10,11,13],[1,5,7,8,9,13],[1,5,7,9,10,12],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,7,10,12,13],[2,4,6,7,9,12],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,6,9,10,11],[2,6,7,8,9,11],[3,4,5,8,9,10],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,12,13],[4,5,7,9,11,13]];
G[3294]:=Group([(1,2)(6,7)(9,10)(11,12)]);
# Design 3295: autom. group order 2, simple, derived
B[3295]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,6,9,12,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,7,8,9,13],[1,5,7,9,10,11],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,7,10,12,13],[2,4,6,7,9,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,6,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,10],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13],[4,5,7,9,12,13]];
G[3295]:=Group([(1,2)(6,7)(9,10)(11,12)]);
# Design 3296: autom. group order 2, simple, derived
B[3296]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,6,9,12,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,7,8,9,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,7,10,12,13],[2,4,6,7,9,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,6,9,10,11],[2,6,7,8,9,12],[3,4,5,8,9,10],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,12,13],[4,5,7,9,11,13]];
G[3296]:=Group([(1,2)(6,7)(9,10)(11,12)]);
# Design 3297: autom. group order 2, simple, derived
B[3297]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,6,10,11,13],[1,4,6,7,9,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,10,11],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,3,7,10,12,13],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,6,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,10],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,12,13],[4,5,7,9,11,13]];
G[3297]:=Group([(1,2)(6,7)(9,10)(11,12)]);
# Design 3298: autom. group order 2, simple, derived
B[3298]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,10],[1,3,6,8,11,12],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,10,11,13],[2,4,6,7,9,12],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,6,10,11,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,5,6,7,10,12],[3,5,9,10,12,13],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[3298]:=Group([(3,5)(6,7)]);
# Design 3299: autom. group order 2, simple, derived
B[3299]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,10],[1,3,6,8,11,12],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,10,11,13],[2,4,6,7,9,12],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,6,10,11,13],[2,6,7,8,9,11],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,8,9,13],[3,5,6,7,10,12],[3,5,9,10,12,13],[4,5,6,8,9,13],[4,5,7,8,10,11]];
G[3299]:=Group([(3,5)(6,7)]);
# Design 3300: autom. group order 2, simple, derived
B[3300]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,9,10,12],[1,3,6,10,11,13],[1,4,6,11,12,13],[1,4,7,8,10,12],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,7,10,11,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,9,10,11,12]];
G[3300]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3301: autom. group order 2, simple, derived
B[3301]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,7,10,11,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,10],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,11,13],[4,5,9,10,11,12]];
G[3301]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3302: autom. group order 2, simple, derived
B[3302]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,7,10,11,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,9,11,12,13]];
G[3302]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3303: autom. group order 2, simple, derived
B[3303]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,6,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,9,11,12,13]];
G[3303]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3304: autom. group order 2, simple, derived
B[3304]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,9,11,12,13]];
G[3304]:=Group([(1,2)(3,5)(8,11)(10,13)]);
# Design 3305: autom. group order 2, simple, derived
B[3305]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,6,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,11,13],[4,5,8,9,12,13]];
G[3305]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3306: autom. group order 2, simple, derived
B[3306]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,11,13],[4,5,8,9,12,13]];
G[3306]:=Group([(1,2)(3,5)(8,11)(10,13)]);
# Design 3307: autom. group order 2, simple, derived
B[3307]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,7,8,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,6,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,9,11,12,13],[4,5,6,7,8,12],[4,5,8,10,11,12]];
G[3307]:=Group([(1,2)(6,7)]);
# Design 3308: autom. group order 2, simple, derived
B[3308]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,6,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,12],[1,5,7,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,7,8,12,13],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,8,9,12,13]];
G[3308]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3309: autom. group order 2, simple, derived
B[3309]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,7,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,7,8,10,13],[2,3,7,9,12,13],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,8,10,12],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,8,9,12,13]];
G[3309]:=Group([(1,2)(3,5)(8,11)(10,13)]);
# Design 3310: autom. group order 2, simple, derived
B[3310]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,6,7,8,11],[1,4,9,11,12,13],[1,5,6,9,10,13],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,6,7,9,12],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,7,8,10,13],[2,5,6,10,11,12],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,13],[4,5,6,8,9,12],[4,5,7,8,9,12]];
G[3310]:=Group([(6,7)]);
# Design 3311: autom. group order 2, simple, derived
B[3311]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,9,11],[1,3,6,7,8,12],[1,3,10,11,12,13],[1,4,6,7,11,13],[1,4,8,9,11,12],[1,5,6,9,10,13],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,6,7,10,11],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,10,12,13],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,9,11,12],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,7,8,10,11]];
G[3311]:=Group([(6,7)]);
# Design 3312: autom. group order 2, simple
B[3312]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,8,11,12,13],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,9,10,12],[2,4,6,10,11,12],[2,4,7,8,10,13],[2,5,6,7,8,13],[2,5,9,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,10,11],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,8,9,12]];
G[3312]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3313: autom. group order 2, simple
B[3313]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,8,10,11,13],[1,4,6,7,10,11],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,10,11,12],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,9,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,11,12,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[3313]:=Group([(2,13)(3,10)(4,12)(9,11)]);
# Design 3314: autom. group order 2, simple
B[3314]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,7,9,10],[1,4,8,10,11,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,9,10,12],[2,4,6,10,11,12],[2,4,7,8,10,13],[2,5,6,7,8,13],[2,5,9,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,10,11],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,8,9,12]];
G[3314]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3315: autom. group order 2, simple
B[3315]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,9,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[3315]:=Group([(2,13)(3,10)(4,12)(9,11)]);
# Design 3316: autom. group order 2, simple
B[3316]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,8,10,11,13],[1,4,6,7,10,11],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,9,13]];
G[3316]:=Group([(2,13)(3,10)(4,12)(9,11)]);
# Design 3317: autom. group order 2, simple
B[3317]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,8,11,12,13],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,7,9,12,13],[2,5,6,8,11,12],[2,5,7,8,9,10],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,11,13]];
G[3317]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3318: autom. group order 2, simple
B[3318]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,7,9,10],[1,4,8,10,11,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,7,9,12,13],[2,5,6,8,11,12],[2,5,7,8,9,10],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,11,13]];
G[3318]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3319: autom. group order 2, simple
B[3319]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,11,13]];
G[3319]:=Group([(2,13)(3,10)(4,12)(9,11)]);
# Design 3320: autom. group order 2, simple, derived
B[3320]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,8,11,12],[1,3,6,7,8,11],[1,3,8,9,10,12],[1,4,6,7,9,10],[1,4,8,9,11,13],[1,5,6,10,12,13],[1,5,7,10,12,13],[1,6,7,9,11,13],[2,3,6,9,12,13],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,8,10,13],[2,5,6,9,10,11],[2,5,7,9,10,11],[2,6,7,8,11,12],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,7,8,9,12]];
G[3320]:=Group([(6,7)]);
# Design 3321: autom. group order 2, simple
B[3321]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,10,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,10,12,13],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,8,10,11,13],[2,4,6,9,11,13],[2,4,7,9,11,13],[2,5,6,10,11,12],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,7,8,9,10]];
G[3321]:=Group([(1,2)(6,7)(9,10)(11,12)]);
# Design 3322: autom. group order 2, simple, derived
B[3322]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,10,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,9,11,13],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,5,7,8,9,10]];
G[3322]:=Group([(1,10)(2,9)(3,8)]);
# Design 3323: autom. group order 2, simple, derived
B[3323]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,10,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,8,11,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,8,9,11,13],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,9,11,12],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,8,9,10],[4,5,7,8,9,10]];
G[3323]:=Group([(1,10)(2,9)(3,8)]);
# Design 3324: autom. group order 2, simple
B[3324]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,9,10,11,12],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,6,8,9,13],[1,5,7,9,10,12],[1,6,7,10,12,13],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,8,9,12],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[3324]:=Group([(1,2)(4,5)(8,10)(11,13)]);
# Design 3325: autom. group order 2, simple
B[3325]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,9,10,12,13],[1,4,6,8,9,12],[1,4,7,8,10,11],[1,5,6,8,9,12],[1,5,7,9,10,13],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,8,9,11,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,5,8,10,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,8,10,11,12]];
G[3325]:=Group([(1,2)(4,5)(8,10)(11,12)]);
# Design 3326: autom. group order 2, simple, derived
B[3326]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,8,9,11,12],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,9,10,11],[1,5,7,8,10,13],[1,6,7,10,12,13],[2,3,6,7,10,13],[2,3,9,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[3326]:=Group([(1,2)(4,5)(8,10)(11,13)]);
# Design 3327: autom. group order 2, simple, derived
B[3327]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,8,9,11,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,8,10,13],[1,6,7,9,11,13],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,11,12],[3,4,5,8,9,11],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,8,10,11,12]];
G[3327]:=Group([(4,5)(6,7)]);
# Design 3328: autom. group order 2, simple, derived
B[3328]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,8,9,11,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,8,10,13],[1,6,7,9,11,13],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,11,12],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,9,12,13],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,8,10,11,12]];
G[3328]:=Group([(4,5)(6,7)]);
# Design 3329: autom. group order 2, simple, derived
B[3329]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,8,9,11,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,8,10,13],[1,6,7,9,11,13],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,9,10,11],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,5,8,9,11],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,10,11,13],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,8,10,11,12]];
G[3329]:=Group([(4,5)(6,7)]);
# Design 3330: autom. group order 2, simple, derived
B[3330]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,8,9,11,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,8,10,13],[1,6,7,9,11,13],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,9,10,11],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,9,12,13],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,8,10,11,12]];
G[3330]:=Group([(4,5)(6,7)]);
# Design 3331: autom. group order 2, simple
B[3331]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,5,11,12,13],[1,3,6,7,8,11],[1,3,8,9,12,13],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,5,7,9,10,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,9,10,11,12],[2,4,6,8,10,13],[2,4,7,8,9,11],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,8,12,13],[3,4,5,8,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,9,11,13],[3,5,7,8,12,13],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[3331]:=Group([(1,2)(4,5)(8,10)(11,13)]);
# Design 3332: autom. group order 2, simple
B[3332]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,7,8,11,12],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,8,9,10],[2,5,7,9,12,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,8,10,13],[4,5,6,8,12,13],[4,5,7,9,10,11]];
G[3332]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3333: autom. group order 2, simple
B[3333]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,11,12,13],[1,5,7,8,10,11],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3333]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3334: autom. group order 2, simple
B[3334]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,9,10,11],[1,5,7,8,12,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,10],[4,5,6,8,11,12],[4,5,7,10,11,13]];
G[3334]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3335: autom. group order 2, simple
B[3335]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,9,11,12],[1,5,7,8,10,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,9,10,11],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,11,12,13]];
G[3335]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3336: autom. group order 2, simple
B[3336]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,9,12,13],[1,5,7,8,11,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,8,9,10],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,7,9,10,12]];
G[3336]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3337: autom. group order 2, simple
B[3337]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,9,10,12],[1,5,7,8,11,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,9,10],[4,5,6,8,11,12],[4,5,7,9,12,13]];
G[3337]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3338: autom. group order 2, simple
B[3338]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,6,9,12,13],[1,5,7,8,10,11],[1,6,7,8,9,10],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3338]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3339: autom. group order 2, simple
B[3339]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,11,12,13],[1,5,7,8,9,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[3339]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3340: autom. group order 2, simple
B[3340]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,11,12,13]];
G[3340]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3341: autom. group order 2, simple
B[3341]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,6,7,8,9,10],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[3341]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3342: autom. group order 2, simple
B[3342]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,7,8,11,12],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,8,9,10],[2,5,7,9,12,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,10,13]];
G[3342]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3343: autom. group order 2, simple
B[3343]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,11,12,13],[1,5,7,8,10,11],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3343]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3344: autom. group order 2, simple
B[3344]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,9,10,11],[1,5,7,8,12,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,9,10,13],[4,5,6,11,12,13],[4,5,7,8,10,11]];
G[3344]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3345: autom. group order 2, simple
B[3345]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,9,11,12],[1,5,7,8,10,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,9,10,11],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,7,9,12,13],[4,5,6,10,11,13],[4,5,7,8,11,12]];
G[3345]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3346: autom. group order 2, simple
B[3346]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,9,12,13],[1,5,7,8,11,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,8,9,10],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,13],[3,5,7,9,10,12],[4,5,6,10,11,12],[4,5,7,8,9,13]];
G[3346]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3347: autom. group order 2, simple
B[3347]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,9,10,12],[1,5,7,8,11,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,11,12,13],[4,5,7,8,9,12]];
G[3347]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3348: autom. group order 2, simple
B[3348]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,6,9,12,13],[1,5,7,8,10,11],[1,6,7,8,9,10],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3348]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3349: autom. group order 2, simple
B[3349]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,11,12,13],[1,5,7,8,9,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,9,10,12],[4,5,7,8,11,13]];
G[3349]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3350: autom. group order 2, simple
B[3350]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,11,12]];
G[3350]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3351: autom. group order 2, simple
B[3351]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,6,7,8,9,10],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,9,10,12],[4,5,7,8,11,13]];
G[3351]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3352: autom. group order 2, simple
B[3352]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,8,11,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,10],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3352]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3353: autom. group order 2, simple
B[3353]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,9,10],[4,5,6,8,11,12],[4,5,7,10,11,13]];
G[3353]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3354: autom. group order 2, simple
B[3354]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,11,12,13]];
G[3354]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3355: autom. group order 2, simple
B[3355]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,10,11,12],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,8,10,13],[4,5,6,8,12,13],[4,5,7,9,10,11]];
G[3355]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3356: autom. group order 2, simple
B[3356]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,9,10],[4,5,6,8,11,12],[4,5,7,9,12,13]];
G[3356]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3357: autom. group order 2, simple
B[3357]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,11,12],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,10],[2,3,6,9,10,11],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,7,9,10,12]];
G[3357]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3358: autom. group order 2, simple
B[3358]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,9,12,13]];
G[3358]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3359: autom. group order 2, simple
B[3359]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,11,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,10],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,8,11,13],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[3359]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3360: autom. group order 2, simple
B[3360]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,11,12,13]];
G[3360]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3361: autom. group order 2, simple
B[3361]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,10],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[3361]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3362: autom. group order 2, simple
B[3362]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,8,11,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,10],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3362]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3363: autom. group order 2, simple
B[3363]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,9,10,13],[4,5,6,11,12,13],[4,5,7,8,10,11]];
G[3363]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3364: autom. group order 2, simple
B[3364]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,7,9,12,13],[4,5,6,10,11,13],[4,5,7,8,11,12]];
G[3364]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3365: autom. group order 2, simple
B[3365]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,10,11,12],[1,5,6,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,10,11,13],[4,5,7,8,9,12]];
G[3365]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3366: autom. group order 2, simple
B[3366]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,13],[1,4,7,10,11,12],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,9,10,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,10,13]];
G[3366]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3367: autom. group order 2, simple
B[3367]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,9,12],[1,5,7,11,12,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,13],[3,5,7,9,10,12],[4,5,6,10,11,12],[4,5,7,8,9,13]];
G[3367]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3368: autom. group order 2, simple
B[3368]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,11,12,13],[4,5,7,8,9,12]];
G[3368]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3369: autom. group order 2, simple
B[3369]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,11,12],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,10],[2,3,6,9,10,11],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,11,13],[3,5,7,9,10,12],[4,5,6,10,11,12],[4,5,7,8,9,13]];
G[3369]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3370: autom. group order 2, simple
B[3370]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,11,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,12,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,10],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,7,10,11,12],[4,5,6,9,10,12],[4,5,7,8,11,13]];
G[3370]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3371: autom. group order 2, simple
B[3371]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,11,12]];
G[3371]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3372: autom. group order 2, simple
B[3372]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,11,12],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[2,3,6,9,10,11],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,9,12,13],[4,5,7,8,10,11]];
G[3372]:=Group([(1,2)(3,4)(6,7)(9,11)(10,12)]);
# Design 3373: autom. group order 2, simple
B[3373]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,11],[1,3,8,9,12,13],[1,4,6,10,11,12],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,9,10],[2,3,6,9,11,13],[2,3,7,8,11,12],[2,4,6,8,10,13],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,10,12],[2,6,7,11,12,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,8,9,11],[4,5,7,8,9,11]];
G[3373]:=Group([(4,5)(6,7)(8,9)(12,13)]);
# Design 3374: autom. group order 2, simple
B[3374]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,11],[1,3,8,9,12,13],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,9,11,13],[2,3,7,8,11,12],[2,4,6,9,10,12],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,10,13],[2,6,7,11,12,13],[3,4,5,10,12,13],[3,4,6,7,8,13],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,8,9,11],[4,5,7,8,9,11]];
G[3374]:=Group([(4,5)(6,7)(8,9)(12,13)]);
# Design 3375: autom. group order 2, simple, derived
B[3375]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,10,11],[1,3,8,9,12,13],[1,4,6,8,12,13],[1,4,7,10,11,12],[1,5,6,10,11,13],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,8,11,13],[2,3,7,9,11,12],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,6,7,11,12,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,8,10,11,12],[4,5,6,8,9,11],[4,5,7,8,9,11]];
G[3375]:=Group([(4,5)(6,7)(8,9)(12,13)]);
# Design 3376: autom. group order 2, simple, derived
B[3376]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,10],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,9,10,11,12],[4,5,6,7,11,12],[4,5,8,10,11,13]];
G[3376]:=Group([(1,6)(2,7)(3,9)(4,11)(5,8)(10,13)]);
# Design 3377: autom. group order 2, simple, derived
B[3377]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,10],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,9,10,11,12],[4,5,6,7,11,12],[4,5,8,10,11,13]];
G[3377]:=Group([(1,6)(2,7)(3,8)(4,9)(5,11)(12,13)]);
# Design 3378: autom. group order 2, simple, derived
B[3378]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,9,10,13],[1,5,6,10,11,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,12],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,8,9,10,12],[4,5,6,7,10,11],[4,5,8,10,11,13]];
G[3378]:=Group([(1,6)(2,7)(3,11)(4,9)(5,8)(12,13)]);
# Design 3379: autom. group order 2, simple, derived
B[3379]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,12],[1,5,6,10,11,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,12],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,8,9,10,12],[4,5,6,7,10,11],[4,5,8,10,11,13]];
G[3379]:=Group([(1,6)(2,7)(3,11)(4,9)(5,8)(12,13)]);
# Design 3380: autom. group order 2, simple, derived
B[3380]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,13],[1,4,6,9,10,12],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,8,9,12,13],[4,5,6,7,11,12],[4,5,8,10,11,13]];
G[3380]:=Group([(1,6)(2,7)(3,11)(4,9)(5,8)(10,12)]);
# Design 3381: autom. group order 2, simple, derived
B[3381]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,10,11,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,10,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[3381]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3382: autom. group order 2, simple
B[3382]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,10,11,13],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,6,9,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,10,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[3382]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3383: autom. group order 2, simple
B[3383]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,10,11,12],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,10,12],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[3383]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3384: autom. group order 2, simple
B[3384]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,10,11,12],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,10,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,8,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[3384]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3385: autom. group order 2, simple, derived
B[3385]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,10,11,13],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,10,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[3385]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3386: autom. group order 2, simple
B[3386]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,10,11,12],[1,4,6,11,12,13],[1,4,7,9,10,13],[1,5,6,9,10,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[3386]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3387: autom. group order 2, simple
B[3387]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,10,11,13],[1,4,6,11,12,13],[1,4,7,9,10,12],[1,5,6,9,10,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[3387]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3388: autom. group order 2, simple
B[3388]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,10,11,12],[1,4,6,11,12,13],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[3388]:=Group([(1,7)(2,6)(3,11)(4,9)(5,8)]);
# Design 3389: autom. group order 2, simple
B[3389]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,7,9,10,13],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,11,12,13],[2,4,6,9,10,12],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[3389]:=Group([(4,5)(6,7)(8,9)(12,13)]);
# Design 3390: autom. group order 2, simple
B[3390]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,8,12,13],[2,4,6,11,12,13],[2,4,7,9,10,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,8,9,10,12]];
G[3390]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3391: autom. group order 2, simple
B[3391]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,8,12,13],[2,4,6,11,12,13],[2,4,7,9,10,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[3391]:=Group([(1,2)(3,5)(6,7)(8,11)(10,13)]);
# Design 3392: autom. group order 2, simple
B[3392]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,9,10,12],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,8,9,10,12]];
G[3392]:=Group([(1,2)(3,5)(8,11)(10,13)]);
# Design 3393: autom. group order 2, simple
B[3393]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,9,10,12],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,10,11,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[3393]:=Group([(1,2)(3,5)(8,11)(10,13)]);
# Design 3394: autom. group order 2, simple
B[3394]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,8,12,13],[1,4,6,9,12,13],[1,4,7,10,11,12],[1,5,6,10,11,12],[1,5,7,9,10,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,9,10,12],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[3394]:=Group([(1,6)(2,7)(3,9)(4,8)(5,11)(10,12)]);
# Design 3395: autom. group order 2, simple
B[3395]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,8,10,13],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,12],[3,4,8,11,12,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[3395]:=Group([(1,6)(2,7)(3,9)(4,8)(5,11)(10,12)]);
# Design 3396: autom. group order 2, simple
B[3396]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,8,12,13],[1,4,6,9,10,13],[1,4,7,9,10,13],[1,5,6,10,11,12],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,6,8,10,12],[2,4,7,11,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,8,9,10,12]];
G[3396]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3397: autom. group order 2, simple
B[3397]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,8,12,13],[1,4,6,9,10,13],[1,4,7,9,10,13],[1,5,6,10,11,12],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,6,8,10,12],[2,4,7,11,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[3397]:=Group([(3,5)(6,7)(8,11)(10,13)]);
# Design 3398: autom. group order 2, simple
B[3398]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,8,12,13],[1,4,6,10,11,12],[1,4,7,9,10,12],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,9,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,11,12,13],[3,5,6,7,10,11],[3,5,8,9,10,12],[4,5,6,7,8,12],[4,5,8,10,11,13]];
G[3398]:=Group([(1,7)(2,6)(3,9)(4,8)(5,11)(10,13)]);
# Design 3399: autom. group order 2, simple
B[3399]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,8,12,13],[1,4,6,11,12,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,6,7,8,12],[4,5,8,10,11,13]];
G[3399]:=Group([(1,7)(2,6)(3,9)(4,8)(5,11)(10,13)]);
# Design 3400: autom. group order 2, simple, derived
B[3400]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,11,12,13],[1,4,5,8,10,13],[1,4,7,10,11,12],[1,5,9,10,11,13],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,8,9,10,11],[2,4,6,9,12,13],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,11,13],[2,5,7,8,12,13],[3,4,6,8,11,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[3400]:=Group([(1,12)(3,13)(5,9)(7,10)]);
# Design 3401: autom. group order 2, simple
B[3401]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,9,11,12],[1,4,5,10,12,13],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,10,12,13],[2,4,6,9,11,13],[2,4,7,9,11,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,5,9,10,11,12],[3,4,6,8,10,11],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,7,9,10],[4,5,6,8,12,13]];
G[3401]:=Group([(3,4)(6,7)(9,12)(10,11)]);
# Design 3402: autom. group order 2, simple
B[3402]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,9,10,11],[1,4,5,10,12,13],[1,4,7,10,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,10,12,13],[2,4,6,9,11,13],[2,4,7,9,11,13],[2,5,6,8,11,12],[2,5,7,8,9,10],[2,5,9,10,11,12],[3,4,6,8,9,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,7,8,11,13],[4,5,6,7,9,10],[4,5,6,8,10,13]];
G[3402]:=Group([(3,4)(6,7)(9,12)(10,11)]);
# Design 3403: autom. group order 2, simple
B[3403]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,11,12,13],[1,3,6,9,10,11],[1,4,5,9,10,13],[1,4,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,12,13],[2,3,7,9,12,13],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,8,11,12],[2,5,7,8,9,10],[2,5,9,10,11,12],[3,4,6,8,10,12],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[3403]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3404: autom. group order 2, simple, derived
B[3404]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,9,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,7,8,9,12],[1,5,8,9,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,9,11],[2,3,7,10,11,12],[2,4,6,9,12,13],[2,4,9,10,11,13],[2,5,6,7,9,10],[2,5,7,8,12,13],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[3404]:=Group([(1,12)(3,13)(4,8)(6,10)]);
# Design 3405: autom. group order 2, simple, derived
B[3405]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,7,8,11,13],[2,4,6,9,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,5,7,10,12,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3405]:=Group([(1,12)(2,11)(5,9)(6,10)]);
# Design 3406: autom. group order 2, simple
B[3406]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,11,13],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,7,8,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,5,7,10,12,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3406]:=Group([(1,12)(2,11)(5,9)(6,10)]);
# Design 3407: autom. group order 2, simple, derived
B[3407]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,8,12,13],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,5,7,8,11,12],[3,4,6,7,8,10],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[3407]:=Group([(1,10)(4,13)(5,11)(7,12)]);
# Design 3408: autom. group order 2, simple
B[3408]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,8,12,13],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,10,11,12,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,5,7,8,11,12],[3,4,6,7,8,10],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,8,10,12],[4,5,6,9,11,13]];
G[3408]:=Group([(1,10)(4,13)(5,11)(7,12)]);
# Design 3409: autom. group order 2, simple
B[3409]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,7,8,9,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,5,9,10,12,13],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3409]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3410: autom. group order 2, simple
B[3410]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,7,10,13],[2,3,7,8,9,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,9,11,13],[2,5,9,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3410]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3411: autom. group order 2, simple
B[3411]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,8,13],[2,3,7,9,10,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,5,9,10,12,13],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3411]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3412: autom. group order 2, simple
B[3412]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,7,8,13],[2,3,7,9,10,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,9,11,13],[2,5,9,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3412]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3413: autom. group order 2, simple
B[3413]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,7,10,11],[2,3,7,8,10,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,5,8,9,12,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,7,8,13],[4,5,6,8,10,11]];
G[3413]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3414: autom. group order 2, simple
B[3414]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,7,10,13],[2,3,7,8,10,11],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,5,8,9,12,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,9,10,11,12],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,8,10,13]];
G[3414]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3415: autom. group order 2, simple
B[3415]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,10,11],[2,3,7,8,10,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,7,8,13],[4,5,6,8,10,11]];
G[3415]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3416: autom. group order 2, simple
B[3416]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,7,8,10,11],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,8,10,13]];
G[3416]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3417: autom. group order 2, simple
B[3417]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,8,9,12],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3417]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3418: autom. group order 2, simple
B[3418]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,7,8,9,12],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,5,8,9,11,13],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3418]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3419: autom. group order 2, simple
B[3419]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,8,9,12],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3419]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3420: autom. group order 2, simple
B[3420]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,7,8,9,12],[1,5,7,8,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,5,8,9,11,13],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3420]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3421: autom. group order 2, simple, derived
B[3421]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,7,8,11,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,8,10],[2,3,7,9,12,13],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,5,9,10,11,12],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[3421]:=Group([(2,4)(3,5)(6,7)(8,12)]);
# Design 3422: autom. group order 2, simple
B[3422]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,9,12],[2,3,7,10,11,12],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,5,8,10,12,13],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,6,9,11,12]];
G[3422]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3423: autom. group order 2, simple
B[3423]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,7,9,11,12],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,5,8,10,12,13],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,11],[4,5,6,10,11,12]];
G[3423]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3424: autom. group order 2, simple
B[3424]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,9,12],[2,3,7,10,11,12],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,5,8,10,11,13],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,4,8,9,12,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,6,9,11,12]];
G[3424]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3425: autom. group order 2, simple
B[3425]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,12],[2,3,7,9,11,12],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,5,8,10,11,13],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,11],[4,5,6,10,11,12]];
G[3425]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3426: autom. group order 2, simple
B[3426]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,8,11,13],[1,4,7,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,6,7,9,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,9,11,12],[2,5,7,8,12,13],[2,5,9,10,11,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3426]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3427: autom. group order 2, simple
B[3427]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,7,9,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,5,9,10,11,13],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3427]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3428: autom. group order 2, simple
B[3428]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,8,11,13],[1,4,7,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,7,9,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,5,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,8,9,10],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3428]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3429: autom. group order 2, simple
B[3429]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,6,7,9,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,5,9,10,11,13],[3,4,6,9,11,12],[3,4,7,8,12,13],[3,4,9,10,11,13],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3429]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3430: autom. group order 2, simple
B[3430]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[3430]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3431: autom. group order 2, simple
B[3431]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,6,8,12,13]];
G[3431]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3432: autom. group order 2, simple
B[3432]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,10,11,12],[2,5,7,9,10,13],[2,5,8,9,12,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[3432]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3433: autom. group order 2, simple
B[3433]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,10,11,12],[2,5,7,9,10,13],[2,5,8,9,12,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,6,8,12,13]];
G[3433]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3434: autom. group order 2, simple
B[3434]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[3,4,6,9,11,13],[3,4,7,8,11,13],[3,4,8,10,11,12],[3,5,6,8,9,10],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3434]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3435: autom. group order 2, simple
B[3435]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,8,11,13],[1,4,5,9,12,13],[1,4,7,8,10,11],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,7,8,9,11],[2,5,8,10,12,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,4,8,10,12,13],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[3435]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3436: autom. group order 2, simple
B[3436]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,5,8,10,11,12],[3,4,6,8,11,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3436]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3437: autom. group order 2, simple
B[3437]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,8,11,13],[1,4,5,9,12,13],[1,4,7,8,10,11],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,9,12],[2,5,8,10,12,13],[3,4,6,8,9,12],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[3437]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3438: autom. group order 2, simple
B[3438]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,5,9,10,12],[1,4,7,8,11,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,7,10,11,13],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,13],[2,5,9,10,11,12],[3,4,6,9,12,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,10,11,13]];
G[3438]:=Group([(2,4)(3,5)(6,7)(8,12)]);
# Design 3439: autom. group order 2, simple
B[3439]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,5,9,11,13],[1,4,7,8,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,12,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,6,8,11,12]];
G[3439]:=Group([(2,4)(3,5)(6,7)(8,11)(10,13)]);
# Design 3440: autom. group order 2, simple
B[3440]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,10,13],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,7,8,11,13],[1,5,7,9,11,12],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,7,8,10,12],[2,4,6,7,9,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,6,7,8,9],[4,5,6,8,10,12]];
G[3440]:=Group([(2,4)(3,5)(6,7)(8,12)(9,13)]);
# Design 3441: autom. group order 2, simple
B[3441]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,5,9,11,13],[1,4,7,8,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[3,4,6,9,10,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,9,11,13],[3,5,7,8,9,10],[4,5,6,7,8,10],[4,5,6,8,11,12]];
G[3441]:=Group([(2,4)(3,5)(6,7)(8,11)(10,13)]);
# Design 3442: autom. group order 2, simple
B[3442]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,10,13],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,7,8,11,13],[1,5,7,9,11,12],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,7,8,10,12],[2,4,6,7,9,13],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[4,5,6,7,8,9],[4,5,6,8,10,12]];
G[3442]:=Group([(2,4)(3,5)(6,7)(8,12)(9,13)]);
# Design 3443: autom. group order 2, simple, derived
B[3443]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,5,9,10,12],[1,4,7,8,11,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,7,8,9,13],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,9,12,13],[2,5,7,10,11,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3443]:=Group([(1,11)(2,12)(4,8)]);
# Design 3444: autom. group order 2, simple
B[3444]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,9,11,12],[1,4,7,10,11,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,5,8,10,11,12],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,5,6,8,9,10],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3444]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3445: autom. group order 2, simple
B[3445]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,9,12,13],[1,4,7,10,11,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,9,11,12],[2,5,7,8,9,12],[2,5,8,10,12,13],[3,4,6,8,9,12],[3,4,7,8,9,11],[3,4,8,10,12,13],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[3445]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3446: autom. group order 2, simple
B[3446]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,9,11,12],[1,4,7,10,11,13],[1,5,7,8,10,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,5,8,10,11,12],[3,4,6,8,9,13],[3,4,7,8,11,13],[3,4,8,10,11,12],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3446]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3447: autom. group order 2, simple
B[3447]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,9,12,13],[1,4,7,10,11,12],[1,5,7,8,10,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,4,8,10,12,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[3447]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3448: autom. group order 2, simple
B[3448]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,11,12,13],[1,4,5,9,10,12],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,3,7,9,10,11],[2,4,6,7,9,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,10,12,13],[2,5,8,9,11,13],[3,4,6,8,10,13],[3,4,7,8,10,13],[3,4,9,11,12,13],[3,5,6,8,9,12],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[3448]:=Group([(2,4)(3,5)(6,7)(8,12)]);
# Design 3449: autom. group order 2, simple
B[3449]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,10,11,12],[1,4,5,9,11,13],[1,4,7,10,11,12],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,6,8,11,12]];
G[3449]:=Group([(2,4)(3,5)(6,7)(8,11)(10,13)]);
# Design 3450: autom. group order 2, simple
B[3450]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,10,12,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,7,8,10,12],[2,4,6,7,9,13],[2,4,9,10,11,13],[2,5,6,10,11,12],[2,5,7,9,10,11],[2,5,8,9,12,13],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,6,7,8,9],[4,5,6,8,10,12]];
G[3450]:=Group([(2,4)(3,5)(6,7)(8,12)(9,13)]);
# Design 3451: autom. group order 2, simple
B[3451]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,10,11,12],[1,4,5,9,11,13],[1,4,7,10,11,12],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,7,8,11,12],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,9,10,12],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,11,13],[3,5,7,8,9,10],[4,5,6,7,8,10],[4,5,6,8,11,12]];
G[3451]:=Group([(2,4)(3,5)(6,7)(8,11)(10,13)]);
# Design 3452: autom. group order 2, simple
B[3452]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,10,12,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,7,8,10,12],[2,4,6,7,9,13],[2,4,9,10,11,13],[2,5,6,9,10,11],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[4,5,6,7,8,9],[4,5,6,8,10,12]];
G[3452]:=Group([(2,4)(3,5)(6,7)(8,12)(9,13)]);
# Design 3453: autom. group order 2, simple, derived
B[3453]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,6,9,10,11],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,5,9,10,12,13],[3,4,6,8,9,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,12,13],[4,5,6,9,10,11]];
G[3453]:=Group([(2,5)(3,4)(6,7)(9,12)]);
# Design 3454: autom. group order 2, simple
B[3454]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,9,10,13],[1,4,5,8,10,12],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,7,8,10,11],[2,4,6,8,9,13],[2,4,7,8,9,13],[2,5,6,7,11,13],[2,5,9,10,11,12],[2,5,9,10,12,13],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,8,12,13],[3,5,7,8,12,13],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[3454]:=Group([(2,5)(3,4)(6,7)(9,12)]);
# Design 3455: autom. group order 2, simple
B[3455]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,7,8,10,12],[1,5,7,9,10,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,5,9,10,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3455]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3456: autom. group order 2, simple
B[3456]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,11],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,8,10,11,13],[3,5,6,9,10,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3456]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3457: autom. group order 2, simple
B[3457]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,7,8,10,12],[1,5,7,9,10,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,5,9,10,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3457]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3458: autom. group order 2, simple
B[3458]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,11],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3458]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3459: autom. group order 2, simple
B[3459]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,11,12,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,6,9,11,12],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3459]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3460: autom. group order 2, simple
B[3460]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3460]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3461: autom. group order 2, simple
B[3461]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,11,12,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,6,8,11,13],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3461]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3462: autom. group order 2, simple
B[3462]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3462]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3463: autom. group order 2, simple
B[3463]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,5,10,12,13],[1,4,7,9,11,13],[1,5,7,8,9,10],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,9,11,12],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3463]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3464: autom. group order 2, simple
B[3464]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3464]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3465: autom. group order 2, simple
B[3465]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,9,11,13],[1,4,7,10,12,13],[1,5,7,8,9,10],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,5,9,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3465]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3466: autom. group order 2, simple
B[3466]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,8,10,11,13],[3,5,6,9,10,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3466]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3467: autom. group order 2, simple
B[3467]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,5,10,12,13],[1,4,7,9,11,13],[1,5,7,8,9,10],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,8,11,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3467]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3468: autom. group order 2, simple
B[3468]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,5,9,10,11,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,10,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3468]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3469: autom. group order 2, simple
B[3469]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,9,11,13],[1,4,7,10,12,13],[1,5,7,8,9,10],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,8,9,10,12],[2,5,9,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3469]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3470: autom. group order 2, simple
B[3470]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,5,10,11,12,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[3470]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3471: autom. group order 2, simple, derived
B[3471]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,9,10,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,7,8,9,11],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,12,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,9,10,11],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,6,8,9,11]];
G[3471]:=Group([(1,10)(3,8)(4,13)(6,12)(7,11)]);
# Design 3472: autom. group order 2, simple, derived
B[3472]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,9,10,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,7,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,8,10],[4,5,6,9,12,13]];
G[3472]:=Group([(1,10)(3,8)(4,13)(6,12)(7,11)]);
# Design 3473: autom. group order 2, simple, derived
B[3473]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,9,10,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,7,8,9,11],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,6,8,9,11]];
G[3473]:=Group([(1,10)(3,8)(4,13)(6,12)(7,11)]);
# Design 3474: autom. group order 2, simple
B[3474]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,10,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,9,11,13],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,10,11],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,11,12]];
G[3474]:=Group([(2,5)(3,4)(6,7)(8,13)(9,10)]);
# Design 3475: autom. group order 2, simple
B[3475]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,7,9,11,12],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,10,11],[3,5,7,8,10,11],[4,5,6,7,8,12],[4,5,6,9,11,12]];
G[3475]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 3476: autom. group order 2, simple, derived
B[3476]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,6,11,12,13],[1,4,5,8,10,13],[1,4,7,10,11,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,7,8,9,11],[2,4,6,9,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,7,8,12,13],[2,5,8,10,11,13],[3,4,6,8,11,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,8,10,12],[3,5,9,10,11,12],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[3476]:=Group([(1,12)(3,13)(5,9)(7,10)]);
# Design 3477: autom. group order 2, simple, derived
B[3477]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,9,10,12],[2,4,7,9,11,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,5,8,10,11,13],[3,4,6,7,8,11],[3,4,7,8,9,13],[3,4,8,10,12,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,6,8,9,10],[4,5,6,9,11,13]];
G[3477]:=Group([(1,8)(3,10)(4,11)(6,13)]);
# Design 3478: autom. group order 2, simple, derived
B[3478]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,11,12,13],[1,3,6,10,11,12],[1,4,5,9,10,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,9,10,12],[2,4,7,9,11,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,5,8,10,11,13],[3,4,6,7,8,11],[3,4,7,8,9,13],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,8,10,12],[4,5,6,9,11,13]];
G[3478]:=Group([(1,8)(3,10)(4,11)(6,13)]);
# Design 3479: autom. group order 2, simple, derived
B[3479]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,12,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,9,12,13],[2,3,7,9,10,12],[2,4,6,7,10,13],[2,4,7,8,9,11],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,5,8,10,12,13],[3,4,6,8,12,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[4,5,6,8,9,12],[4,5,6,9,10,11]];
G[3479]:=Group([(1,10)(2,5)(3,13)(4,8)(6,11)(7,12)]);
# Design 3480: autom. group order 2, simple, derived
B[3480]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,7,8,9,12],[1,5,7,8,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,9,11],[2,3,7,10,11,12],[2,4,6,7,12,13],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,8,10,11],[4,5,6,9,11,12]];
G[3480]:=Group([(1,12)(3,13)(4,8)(6,10)(7,9)]);
# Design 3481: autom. group order 2, simple
B[3481]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,9,12],[1,4,5,9,10,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,10,11,12],[2,4,6,7,12,13],[2,4,7,8,9,11],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,8,10,11],[4,5,6,9,11,12]];
G[3481]:=Group([(1,12)(3,13)(4,8)(6,10)(7,9)]);
# Design 3482: autom. group order 2, simple
B[3482]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,9,11,13],[2,4,6,7,12,13],[2,4,7,10,11,12],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,5,8,10,12,13],[3,4,6,8,9,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,8,10,11],[4,5,6,8,10,11],[4,5,6,9,11,13]];
G[3482]:=Group([(1,12)(3,13)(4,8)(6,10)(7,9)]);
# Design 3483: autom. group order 2, simple
B[3483]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,10,12,13],[1,4,5,8,9,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,3,7,8,11,12],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,10,12,13],[2,5,8,10,11,13],[3,4,6,7,8,10],[3,4,7,9,11,13],[3,4,9,10,11,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,8,11,12],[4,5,6,9,10,12]];
G[3483]:=Group([(1,13)(2,11)(5,9)(6,10)]);
# Design 3484: autom. group order 2, simple, derived
B[3484]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,5,8,10,11,13],[3,4,6,7,8,11],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,6,8,9,10],[4,5,6,9,11,13]];
G[3484]:=Group([(1,8)(3,10)(4,11)(6,13)]);
# Design 3485: autom. group order 2, simple, derived
B[3485]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,8,10,12],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,6,7,8,9],[2,4,9,10,11,12],[2,5,6,7,11,12],[2,5,7,8,10,13],[2,5,8,10,12,13],[3,4,6,7,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,6,9,12,13]];
G[3485]:=Group([(1,10)(3,8)(4,13)(6,12)]);
# Design 3486: autom. group order 2, simple
B[3486]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,5,9,12,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,5,10,11,12,13],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,8,9,10],[4,5,6,8,11,13]];
G[3486]:=Group([(1,12)(2,11)(5,9)(6,10)]);
# Design 3487: autom. group order 2, simple
B[3487]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,7,11,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,5,8,9,10,11],[3,4,6,7,8,10],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,13],[4,5,6,10,11,13]];
G[3487]:=Group([(1,11)(2,8)(3,5)(4,12)]);
# Design 3488: autom. group order 2, simple, derived
B[3488]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,8,10,12],[1,4,5,10,11,13],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,8,9,11],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,5,8,10,12,13],[3,4,6,8,12,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,5,9,11,12,13],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[3488]:=Group([(1,10)(3,8)(4,13)(6,12)]);
# Design 3489: autom. group order 2, simple, derived
B[3489]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,11,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,7,8,10,11],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,6,8,9,12]];
G[3489]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3490: autom. group order 2, simple, derived
B[3490]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,11,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,10,11,12],[2,3,8,10,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,7,8,9,12],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,6,8,10,11]];
G[3490]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3491: autom. group order 2, simple, derived
B[3491]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,7,9,10,11],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,9,10,12],[2,3,8,9,11,13],[2,4,7,9,11,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,5,7,10,11,13],[3,4,6,7,8,13],[3,4,6,11,12,13],[3,4,7,9,10,13],[3,5,7,8,10,12],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[3491]:=Group([(3,4)(6,7)(9,12)(10,11)]);
# Design 3492: autom. group order 2, simple, derived
B[3492]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,7,9,10,11],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,9,11,12],[2,3,8,9,10,13],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,5,7,10,11,13],[3,4,6,7,8,13],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,7,8,10,12],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[3492]:=Group([(3,4)(6,7)(9,12)(10,11)]);
# Design 3493: autom. group order 2, simple, derived
B[3493]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,11,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,6,8,10,12],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,12],[4,5,7,8,9,13]];
G[3493]:=Group([(3,4)(6,7)(9,11)(10,12)]);
# Design 3494: autom. group order 2, simple, derived
B[3494]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,11,13],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,7,8,9,13],[2,3,8,11,12,13],[2,4,6,9,12,13],[2,4,6,10,11,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,5,7,10,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,8,9,10],[4,5,7,8,11,13]];
G[3494]:=Group([(1,10)(2,9)(5,11)(6,12)]);
# Design 3495: autom. group order 2, simple
B[3495]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,9,10,12],[1,4,5,10,12,13],[1,4,7,9,11,12],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,9,10,11],[2,3,8,10,12,13],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,6,9,12,13],[2,5,7,9,12,13],[3,4,6,7,8,13],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,8,9,10]];
G[3495]:=Group([(3,4)(6,7)(9,12)(10,11)]);
# Design 3496: autom. group order 2, simple
B[3496]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,9,11,12],[1,4,5,10,12,13],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,9,10,11],[2,3,8,11,12,13],[2,4,6,10,11,12],[2,4,8,9,10,13],[2,5,6,7,10,11],[2,5,6,9,12,13],[2,5,7,9,12,13],[3,4,6,7,8,13],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,10,12],[3,5,7,8,10,12],[4,5,6,8,9,11],[4,5,7,8,9,11]];
G[3496]:=Group([(3,4)(6,7)(9,12)(10,11)]);
# Design 3497: autom. group order 2, simple
B[3497]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,7,9,10,11],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,9,10,12],[2,3,8,10,12,13],[2,4,6,9,11,12],[2,4,8,9,11,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,5,7,10,11,13],[3,4,6,7,8,13],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,9,11],[3,5,7,8,11,12],[4,5,6,8,10,12],[4,5,7,8,9,10]];
G[3497]:=Group([(1,13)(3,10)(4,11)(9,12)]);
# Design 3498: autom. group order 2, simple
B[3498]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,11,12,13],[1,3,6,9,10,11],[1,4,5,9,10,13],[1,4,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,10,12],[2,3,8,9,12,13],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[3498]:=Group([(1,13)(3,9)(4,11)(10,12)]);
# Design 3499: autom. group order 2, simple, derived
B[3499]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,8,10,13],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,11,12,13],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,6,9,10,12],[2,5,8,9,11,13],[3,4,6,7,8,12],[3,4,6,9,10,11],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[3499]:=Group([(1,10)(2,9)(5,11)(7,12)]);
# Design 3500: autom. group order 2, simple, derived
B[3500]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,6,10,11,12],[2,5,8,9,11,13],[3,4,6,7,8,10],[3,4,6,9,11,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[3500]:=Group([(1,12)(2,11)(5,9)(7,10)]);
# Design 3501: autom. group order 2, simple, derived
B[3501]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,9,10,11],[1,4,5,10,12,13],[1,4,9,11,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,5,8,9,11,13],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[3501]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3502: autom. group order 2, simple
B[3502]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,7,9,10,12],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[3,4,6,7,8,11],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,9,10,11,12]];
G[3502]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3503: autom. group order 2, simple
B[3503]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,7,9,10,12],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,10,13],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,9,10,11,12]];
G[3503]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3504: autom. group order 2, simple
B[3504]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,7,8,9,12],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[3,4,6,7,8,11],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,9,10,12],[4,5,8,9,11,12]];
G[3504]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3505: autom. group order 2, simple
B[3505]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,7,8,9,12],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,10,13],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,9,10,12],[4,5,8,9,11,12]];
G[3505]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3506: autom. group order 2, simple
B[3506]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,7,8,10,11],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,8,9,11,12]];
G[3506]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3507: autom. group order 2, simple
B[3507]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,7,8,10,13],[2,3,9,10,11,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3507]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3508: autom. group order 2, simple
B[3508]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,7,8,10,11],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,8,10,13],[4,5,8,9,11,12]];
G[3508]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3509: autom. group order 2, simple
B[3509]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,3,9,10,11,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3509]:=Group([(2,4)(3,5)(6,7)(8,10)(11,13)]);
# Design 3510: autom. group order 2, simple
B[3510]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,8,9,12],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[3,4,6,7,8,9],[3,4,6,8,10,11],[3,4,7,10,11,12],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,9,10,12],[4,5,8,9,11,13]];
G[3510]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3511: autom. group order 2, simple
B[3511]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,7,8,9,12],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,5,7,8,10,11],[3,4,6,7,8,13],[3,4,6,8,10,11],[3,4,7,10,11,12],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,9,10,12],[4,5,8,9,11,13]];
G[3511]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3512: autom. group order 2, simple
B[3512]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,10,11,13],[1,4,7,8,12,13],[1,5,7,8,9,12],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,7,8,13],[2,5,6,8,10,11],[2,5,7,10,11,12],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,9,10,12],[4,5,8,9,11,13]];
G[3512]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3513: autom. group order 2, simple
B[3513]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,7,8,9,12],[1,5,7,8,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,7,8,9],[2,5,6,8,10,11],[2,5,7,10,11,12],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,9,10,12],[4,5,8,9,11,13]];
G[3513]:=Group([(2,4)(3,5)(6,7)(8,11)(9,13)]);
# Design 3514: autom. group order 2, simple, derived
B[3514]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,7,8,11,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,8,9,10,11],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[3,4,6,7,8,10],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,13],[4,5,9,10,11,12]];
G[3514]:=Group([(2,4)(3,5)(6,7)(8,12)]);
# Design 3515: autom. group order 2, simple, derived
B[3515]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,9,12,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,6,9,10,11],[2,5,7,9,10,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,9,11,12,13]];
G[3515]:=Group([(1,11)(2,12)(3,5)(4,8)(10,13)]);
# Design 3516: autom. group order 2, simple
B[3516]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,10,11,12],[4,5,8,9,11,13]];
G[3516]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3517: autom. group order 2, simple
B[3517]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,9,11,12],[4,5,8,10,11,13]];
G[3517]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3518: autom. group order 2, simple
B[3518]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,5,7,9,10,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,10,11,12],[4,5,8,9,11,13]];
G[3518]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3519: autom. group order 2, simple
B[3519]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,5,7,9,10,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,9,11,12],[4,5,8,10,11,13]];
G[3519]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3520: autom. group order 2, simple
B[3520]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,8,11,13],[1,4,7,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,6,9,11,12],[2,5,7,8,11,12],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,9,10,11,13]];
G[3520]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3521: autom. group order 2, simple
B[3521]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,7,9,10],[2,5,6,9,11,12],[2,5,7,8,11,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,9,10,11,13]];
G[3521]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3522: autom. group order 2, simple
B[3522]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,8,11,13],[1,4,7,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,5,7,9,11,12],[3,4,6,7,9,10],[3,4,6,9,11,12],[3,4,7,8,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,9,10,11,13]];
G[3522]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3523: autom. group order 2, simple
B[3523]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,5,7,9,11,12],[3,4,6,7,9,13],[3,4,6,9,11,12],[3,4,7,8,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,9,10,11,13]];
G[3523]:=Group([(2,4)(3,5)(6,7)(9,11)(10,13)]);
# Design 3524: autom. group order 2, simple
B[3524]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,11,13],[2,3,8,10,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,6,10,11,12],[2,5,7,9,10,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,8,12,13],[4,5,8,9,11,13]];
G[3524]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3525: autom. group order 2, simple
B[3525]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,12,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,6,10,11,12],[2,5,7,9,10,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,8,11,13],[4,5,8,9,12,13]];
G[3525]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3526: autom. group order 2, simple
B[3526]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,7,8,11,13],[2,3,8,10,12,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,9,10,13],[2,5,7,9,11,12],[3,4,6,7,9,11],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,8,12,13],[4,5,8,9,11,13]];
G[3526]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3527: autom. group order 2, simple
B[3527]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,9,10],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,7,8,12,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,9,10,13],[2,5,7,9,11,12],[3,4,6,7,9,11],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,8,11,13],[4,5,8,9,12,13]];
G[3527]:=Group([(2,4)(3,5)(6,7)(9,10)(11,12)]);
# Design 3528: autom. group order 2, simple
B[3528]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,5,9,10,12],[1,4,7,8,11,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,10,11,13],[2,3,9,10,11,12],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,5,7,8,9,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13],[4,5,8,9,10,11]];
G[3528]:=Group([(2,4)(3,5)(6,7)(8,12)]);
# Design 3529: autom. group order 2, simple
B[3529]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[3,4,6,7,10,11],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,8,10,11,12]];
G[3529]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3530: autom. group order 2, simple
B[3530]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,8,11,13],[1,4,5,9,12,13],[1,4,7,8,10,11],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,8,10,12,13]];
G[3530]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3531: autom. group order 2, simple
B[3531]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,5,7,9,12,13],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,8,10,11,12]];
G[3531]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3532: autom. group order 2, simple
B[3532]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,13],[1,3,6,8,11,13],[1,4,5,9,12,13],[1,4,7,8,10,11],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,7,8,10],[2,5,6,8,9,12],[2,5,7,9,11,13],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,8,10,12,13]];
G[3532]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3533: autom. group order 2, simple, derived
B[3533]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,8,10,12],[1,4,5,10,11,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,8,11,13],[2,3,10,11,12,13],[2,4,6,7,9,12],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,6,9,10,13],[2,5,7,10,11,12],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,8,9,10,12]];
G[3533]:=Group([(1,10)(2,9)(5,11)]);
# Design 3534: autom. group order 2, simple
B[3534]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,9,11,12],[1,4,7,10,11,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[3,4,6,7,8,10],[3,4,6,8,11,13],[3,4,7,9,12,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,8,10,11,12]];
G[3534]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3535: autom. group order 2, simple
B[3535]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,9,12,13],[1,4,7,10,11,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,7,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[3,4,6,7,8,10],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,8,10,12,13]];
G[3535]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3536: autom. group order 2, simple
B[3536]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,11,12,13],[1,4,5,9,11,12],[1,4,7,10,11,13],[1,5,7,8,10,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,5,7,9,12,13],[3,4,6,7,8,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,8,10,11,12]];
G[3536]:=Group([(2,4)(3,5)(6,7)(8,11)(10,12)]);
# Design 3537: autom. group order 2, simple
B[3537]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,10,13],[1,3,6,11,12,13],[1,4,5,9,12,13],[1,4,7,10,11,12],[1,5,7,8,10,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,6,8,9,12],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,8,10,12,13]];
G[3537]:=Group([(2,4)(3,5)(6,7)(8,12)(10,13)]);
# Design 3538: autom. group order 2, simple
B[3538]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,7,8,10,12],[1,5,7,9,10,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,10,11,12],[2,5,6,7,8,11],[2,5,6,7,10,13],[2,5,8,9,12,13],[3,4,6,7,8,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,8,10,11,13]];
G[3538]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3539: autom. group order 2, simple
B[3539]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,11],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[3,4,6,7,8,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,9,10,12],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3539]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3540: autom. group order 2, simple
B[3540]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,11,12,13],[1,4,5,9,11,13],[1,4,7,8,10,12],[1,5,7,9,10,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,6,7,10,13],[2,5,9,10,11,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,8,10,11,13]];
G[3540]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3541: autom. group order 2, simple
B[3541]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,11],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,8,10,13],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3541]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3542: autom. group order 2, simple, derived
B[3542]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,8,10,11],[2,3,9,11,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,6,7,9,12],[2,5,8,10,12,13],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,7,10,11,13],[4,5,6,8,10,11],[4,5,8,9,11,12]];
G[3542]:=Group([(1,9)(2,8)(5,13)]);
# Design 3543: autom. group order 2, simple
B[3543]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,11,12,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,5,8,10,11,13],[3,4,6,7,8,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,9,10,11],[4,5,8,9,12,13]];
G[3543]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3544: autom. group order 2, simple
B[3544]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,5,8,10,11,13],[3,4,6,7,8,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,9,10,12],[4,5,6,9,10,11],[4,5,8,9,12,13]];
G[3544]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3545: autom. group order 2, simple
B[3545]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,11,12,13],[1,4,5,10,12,13],[1,4,7,8,9,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,8,11,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,8,11,13],[4,5,6,9,10,11],[4,5,8,9,12,13]];
G[3545]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3546: autom. group order 2, simple
B[3546]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,7,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,8,10,13],[4,5,6,9,10,11],[4,5,8,9,12,13]];
G[3546]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3547: autom. group order 2, simple, derived
B[3547]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,11,12],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,7,9,10,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,6,7,10,11],[2,5,8,9,10,12],[3,4,6,7,8,10],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,9,10,13],[4,5,8,10,11,12]];
G[3547]:=Group([(1,11)(2,12)(3,4)(5,9)(8,10)]);
# Design 3548: autom. group order 2, simple
B[3548]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,5,10,12,13],[1,4,7,9,11,13],[1,5,7,8,9,10],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,11,12],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[3,4,6,7,8,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,9,10,11],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3548]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3549: autom. group order 2, simple
B[3549]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[3,4,6,7,8,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,9,10,11],[3,5,7,9,10,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3549]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3550: autom. group order 2, simple
B[3550]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,9,11,13],[1,4,7,10,12,13],[1,5,7,8,9,10],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,6,7,11,13],[2,5,8,9,12,13],[3,4,6,7,8,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,8,10,11,13]];
G[3550]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3551: autom. group order 2, simple
B[3551]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,5,8,10,11,13],[3,4,6,7,8,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,9,10,12],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3551]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3552: autom. group order 2, simple
B[3552]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,9,11,13],[1,4,7,10,12,13],[1,5,7,8,9,10],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,6,7,11,13],[2,5,9,10,11,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,8,10,11,13]];
G[3552]:=Group([(2,5)(3,4)(6,7)(8,13)(10,11)]);
# Design 3553: autom. group order 2, simple
B[3553]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,8,10,13],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3553]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3554: autom. group order 2, simple
B[3554]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,5,10,12,13],[1,4,7,9,11,13],[1,5,7,8,9,10],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3554]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3555: autom. group order 2, simple
B[3555]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,9,10,11],[3,5,7,8,10,13],[4,5,6,8,10,11],[4,5,8,9,12,13]];
G[3555]:=Group([(2,5)(3,4)(6,7)(8,13)(9,12)]);
# Design 3556: autom. group order 2, simple
B[3556]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,5,9,10,13],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,9,10,12],[2,3,9,11,12,13],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,6,7,9,12],[2,5,8,10,12,13],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,8,10,11],[3,5,7,8,10,11],[4,5,6,9,10,12],[4,5,8,9,11,12]];
G[3556]:=Group([(2,5)(3,4)(6,7)(8,13)]);
# Design 3557: autom. group order 2, simple
B[3557]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,7,8,10,13],[1,4,5,9,10,12],[1,4,7,11,12,13],[1,5,6,10,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,6,9,12,13],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3557]:=Group([(1,11)(2,8)(3,5)(4,12)]);
# Design 3558: autom. group order 2, simple, derived
B[3558]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,7,9,10,11],[1,4,5,9,10,12],[1,4,7,8,9,13],[1,5,6,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,6,8,9,13],[2,4,6,9,10,11],[2,4,7,9,12,13],[2,5,7,8,10,13],[2,5,7,8,11,12],[2,5,9,10,11,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,4,8,10,12,13],[3,5,6,9,12,13],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,8,9,11]];
G[3558]:=Group([(1,10)(2,8)(5,12)(6,13)(7,11)]);
# Design 3559: autom. group order 2, simple
B[3559]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,7,8,9,13],[1,4,5,9,10,12],[1,4,7,9,10,11],[1,5,6,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,6,9,10,11],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,10,13],[2,5,7,8,11,12],[2,5,9,10,11,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,4,8,10,12,13],[3,5,6,9,12,13],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,8,9,11]];
G[3559]:=Group([(1,10)(2,8)(5,12)(6,13)(7,11)]);
# Design 3560: autom. group order 2, simple, derived
B[3560]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,9,10,11],[1,4,7,9,12,13],[1,5,6,8,10,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,6,10,11,12],[2,4,6,7,8,13],[2,4,7,8,10,12],[2,5,7,8,9,11],[2,5,7,10,11,13],[2,5,9,10,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,8,10,12],[4,5,6,9,11,12]];
G[3560]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 3561: autom. group order 2, simple, derived
B[3561]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,8,10,13],[1,4,5,10,11,13],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,9,10,11,12],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,5,7,9,11,13],[3,4,6,8,11,13],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,8,9,10],[4,5,7,8,9,10]];
G[3561]:=Group([(2,3)(4,5)(6,7)(8,9)]);
# Design 3562: autom. group order 2, simple
B[3562]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,12],[1,5,6,8,10,11],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,5,8,10,12,13],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,9,10,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3562]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3563: autom. group order 2, simple
B[3563]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,12],[1,5,6,8,10,11],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,5,8,9,12,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,9,10,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3563]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3564: autom. group order 2, simple
B[3564]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,12],[1,5,6,8,10,11],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,5,8,10,12,13],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3564]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3565: autom. group order 2, simple
B[3565]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,12],[1,5,6,8,10,11],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,5,8,9,12,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3565]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3566: autom. group order 2, simple
B[3566]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,11],[1,5,6,8,10,12],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,7,9,10,13],[2,5,8,10,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,8,9,12,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3566]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3567: autom. group order 2, simple
B[3567]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,11],[1,5,6,8,10,12],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,7,9,10,13],[2,5,8,9,12,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,8,10,11,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3567]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3568: autom. group order 2, simple
B[3568]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,10,11],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3568]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3569: autom. group order 2, simple
B[3569]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,10,11],[1,5,6,8,9,12],[1,6,7,9,12,13],[1,6,7,10,11,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,7,9,11],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3569]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3570: autom. group order 2, simple
B[3570]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,11],[1,5,6,8,10,12],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,12,13],[2,4,7,10,11,12],[2,5,6,7,9,12],[2,5,7,9,10,13],[2,5,8,10,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,8,9,12,13],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3570]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3571: autom. group order 2, simple
B[3571]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,9,11],[1,5,6,8,10,12],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,12,13],[2,4,7,10,11,12],[2,5,6,7,10,11],[2,5,7,9,10,13],[2,5,8,9,12,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3571]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3572: autom. group order 2, simple
B[3572]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,10,11],[1,5,6,8,9,12],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3572]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3573: autom. group order 2, simple
B[3573]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,7,8,10,11],[1,5,6,8,9,12],[1,6,7,9,11,13],[1,6,7,10,12,13],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,7,9,11],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3573]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3574: autom. group order 2, simple
B[3574]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,7,8,10,13],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,6,7,8,12,13],[1,6,7,9,11,12],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,6,10,12,13],[2,4,7,8,9,12],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,8,10,13],[4,5,7,9,10,11]];
G[3574]:=Group([(2,3)(4,5)(6,7)(8,9)(11,13)]);
# Design 3575: autom. group order 2, simple
B[3575]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,7,8,10,13],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,6,7,8,12,13],[1,6,7,9,11,12],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,6,10,12,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,5,8,9,11,13],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[3575]:=Group([(2,3)(4,5)(6,7)(8,9)(11,13)]);
# Design 3576: autom. group order 2, simple
B[3576]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,10,12],[1,4,5,11,12,13],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,6,7,8,13],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[3576]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]);
# Design 3577: autom. group order 2, simple
B[3577]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,10,12],[1,4,5,11,12,13],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,7,10,11,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,5,8,9,12,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,9,10,12],[4,5,7,8,10,13]];
G[3577]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]);
# Design 3578: autom. group order 2, simple, derived
B[3578]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,8,10,13],[1,4,5,10,11,13],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,7,9,11,13],[2,5,8,10,11,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,6,8,9,10],[4,5,7,8,9,10]];
G[3578]:=Group([(1,10)(2,9)(3,8)]);
# Design 3579: autom. group order 2, simple
B[3579]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,10,12],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,12],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,7,9,10,11],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,7,8,9,11],[4,5,6,8,10,13],[4,5,7,9,10,12]];
G[3579]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]);
# Design 3580: autom. group order 2, simple
B[3580]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,10,12],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,12],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[3580]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]);
# Design 3581: autom. group order 2, simple
B[3581]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,10,12],[1,3,7,9,11,13],[1,4,5,11,12,13],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,9,10,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3581]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3582: autom. group order 2, simple
B[3582]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,10,12],[1,3,7,9,11,13],[1,4,5,11,12,13],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,5,9,10,11,12],[3,4,6,7,10,11],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,9,10,13],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[3582]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3583: autom. group order 2, simple
B[3583]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,10,12],[1,3,7,9,11,13],[1,4,5,11,12,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,5,9,10,11,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3583]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3584: autom. group order 2, simple
B[3584]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,10,12],[1,3,7,9,11,13],[1,4,5,11,12,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,5,9,10,11,12],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[3584]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3585: autom. group order 2, simple
B[3585]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,7,9,12,13],[1,4,5,11,12,13],[1,4,7,10,12,13],[1,5,6,9,11,12],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,7,11,13],[2,3,8,11,12,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,9,10,11,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,10,13],[4,5,7,8,9,11]];
G[3585]:=Group([(2,3)(4,5)(6,7)(9,10)(11,13)]);
# Design 3586: autom. group order 2, simple
B[3586]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,7,9,12,13],[1,4,5,11,12,13],[1,4,7,10,12,13],[1,5,6,9,11,12],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,7,11,13],[2,3,8,11,12,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,5,9,10,11,13],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,9,10,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,9,13],[4,5,7,8,10,11]];
G[3586]:=Group([(2,3)(4,5)(6,7)(9,10)(11,13)]);
# Design 3587: autom. group order 2, simple
B[3587]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,5,8,10,12,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,8,9,11,13],[3,5,6,11,12,13],[3,5,7,9,10,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3587]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3588: autom. group order 2, simple
B[3588]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,5,8,10,11,13],[3,4,6,7,9,11],[3,4,6,8,10,13],[3,4,8,9,12,13],[3,5,6,11,12,13],[3,5,7,9,10,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3588]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3589: autom. group order 2, simple
B[3589]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,5,8,10,12,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,11,12,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3589]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3590: autom. group order 2, simple
B[3590]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,5,8,10,11,13],[3,4,6,7,9,11],[3,4,6,8,10,13],[3,4,8,9,12,13],[3,5,6,9,10,11],[3,5,7,11,12,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3590]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3591: autom. group order 2, simple
B[3591]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,11,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,5,8,10,11,13],[3,4,6,7,10,11],[3,4,6,11,12,13],[3,4,8,9,12,13],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3591]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3592: autom. group order 2, simple
B[3592]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,11,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,11,12,13],[2,5,8,9,12,13],[3,4,6,7,9,12],[3,4,6,11,12,13],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3592]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3593: autom. group order 2, simple
B[3593]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,11,12,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,7,10,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3593]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3594: autom. group order 2, simple
B[3594]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,11,12,13],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,7,9,10,11],[2,5,8,9,12,13],[3,4,6,7,9,11],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[3594]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3595: autom. group order 2, simple
B[3595]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,11,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,5,8,10,11,13],[3,4,6,7,10,11],[3,4,6,11,12,13],[3,4,8,9,12,13],[3,5,6,9,10,11],[3,5,7,8,9,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3595]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3596: autom. group order 2, simple
B[3596]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,11,13],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,7,10,11],[2,5,7,11,12,13],[2,5,8,9,12,13],[3,4,6,7,9,12],[3,4,6,11,12,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,7,8,9,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3596]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3597: autom. group order 2, simple
B[3597]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,10,13],[2,4,7,11,12,13],[2,5,6,7,9,12],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,7,10,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3597]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3598: autom. group order 2, simple
B[3598]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,7,9,12,13],[1,5,6,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,9,10,11,12],[2,4,6,8,10,13],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,7,9,10,11],[2,5,8,9,12,13],[3,4,6,7,9,11],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[3598]:=Group([(2,3)(4,5)(6,7)(9,10)(11,12)]);
# Design 3599: autom. group order 2, simple
B[3599]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,9,10,12],[1,3,7,10,11,13],[1,4,5,11,12,13],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,3,9,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,5,8,10,11,12],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[3599]:=Group([(2,3)(4,5)(6,7)(8,10)(11,12)]);
# Design 3600: autom. group order 2, simple
B[3600]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,8,12,13],[1,3,5,9,10,12],[1,3,7,10,11,13],[1,4,5,11,12,13],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,11,12],[2,3,9,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,5,8,10,11,12],[3,4,6,7,8,11],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,13],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[3600]:=Group([(2,3)(4,5)(6,7)(8,10)(11,12)]);
# Design 3601: autom. group order 2, simple
B[3601]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,7,9,10,12],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,6,7,10,11,12],[2,3,6,7,12,13],[2,3,9,11,12,13],[2,4,6,9,10,11],[2,4,7,8,10,11],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,5,8,10,12,13],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,4,8,10,12,13],[3,5,6,8,10,11],[3,5,7,8,9,11],[4,5,6,9,10,13],[4,5,7,8,9,12]];
G[3601]:=Group([(2,3)(4,5)(6,7)(8,10)(12,13)]);
# Design 3602: autom. group order 2, simple
B[3602]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,7,9,10,12],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,6,7,10,11,12],[2,3,6,7,12,13],[2,3,9,11,12,13],[2,4,6,9,10,11],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,10,12,13],[3,5,6,8,10,11],[3,5,7,8,9,11],[4,5,6,9,10,12],[4,5,7,8,9,13]];
G[3602]:=Group([(2,3)(4,5)(6,7)(8,10)(12,13)]);
# Design 3603: autom. group order 2, simple
B[3603]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,7,8,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,6,8,10,11],[3,4,7,9,11,12],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[3603]:=Group([(2,11)(3,13)(4,8)(6,9)]);
# Design 3604: autom. group order 2, simple, derived
B[3604]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,8,12,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[3604]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3605: autom. group order 2, simple, derived
B[3605]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,4,7,8,12,13],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3605]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3606: autom. group order 2, simple, derived
B[3606]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,12],[1,3,5,8,9,13],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,12,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,10,11,13],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,11,12,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3606]:=Group([(2,12)(3,13)(5,9)]);
# Design 3607: autom. group order 2, simple, derived
B[3607]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,5,9,12,13],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,9,10,12],[2,6,7,8,12,13],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,7,9,10,11],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[3607]:=Group([(2,11)(3,13)(4,8)(6,9)]);
# Design 3608: autom. group order 2, simple
B[3608]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,5,9,10,13],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,8,9,10,12],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[3608]:=Group([(2,11)(3,13)(4,8)(6,9)]);
# Design 3609: autom. group order 2, simple
B[3609]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[3609]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3610: autom. group order 2, simple, derived
B[3610]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,10,12,13],[1,4,6,9,11,13],[1,4,7,8,12,13],[1,5,7,10,11,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,10,11,13],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,9,12,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3610]:=Group([(1,12)(2,11)(5,9)(6,10)]);
# Design 3611: autom. group order 2, simple, derived
B[3611]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,8,10,13],[1,4,7,11,12,13],[1,5,7,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,9,11,13],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,13],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[3611]:=Group([(1,9)(2,10)(5,11)(6,12)]);
# Design 3612: autom. group order 2, simple, derived
B[3612]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,10,11,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[3612]:=Group([(1,11)(2,12)(5,9)(6,10)]);
# Design 3613: autom. group order 2, simple, derived
B[3613]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,11,12,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[3613]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3614: autom. group order 2, simple, derived
B[3614]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,8,12,13],[1,4,6,9,10,13],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,5,8,9,10,11],[1,6,7,8,11,13],[2,3,6,10,11,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,6,7,8,10],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,8,10,12],[4,5,6,9,11,13]];
G[3614]:=Group([(1,10)(4,13)(5,11)(7,12)]);
# Design 3615: autom. group order 2, simple, derived
B[3615]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,8,9,13],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[2,3,6,7,9,12],[2,3,9,10,11,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,11,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[3615]:=Group([(2,12)(3,13)(5,9)(7,10)]);
# Design 3616: autom. group order 2, simple, derived
B[3616]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,7,11,12],[1,4,6,7,8,13],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3616]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3617: autom. group order 2, simple, derived
B[3617]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,6,7,8,11],[1,4,9,10,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[3617]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3618: autom. group order 2, simple, derived
B[3618]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,7,11,12],[1,4,6,7,8,13],[1,4,10,11,12,13],[1,5,7,9,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,10,12,13],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3618]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3619: autom. group order 2, simple
B[3619]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,7,8,12],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,7,8,9,11],[1,5,10,11,12,13],[1,6,7,9,10,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,7,9,10,11],[2,5,6,9,12,13],[2,5,7,8,9,13],[2,6,7,8,11,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,8,10,13],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3619]:=Group([(1,12)(2,8)(3,4)(5,9)(6,11)(7,13)]);
# Design 3620: autom. group order 2, simple
B[3620]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,7,10,12,13],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[3620]:=Group([(2,8)(3,11)(4,10)(6,13)(9,12)]);
# Design 3621: autom. group order 2, simple
B[3621]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,6,10,11,12],[2,3,7,8,12,13],[2,4,5,9,10,13],[2,4,7,10,11,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,10,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3621]:=Group([(2,8)(3,11)(4,10)(6,13)(9,12)]);
# Design 3622: autom. group order 2, simple, derived
B[3622]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,7,8,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,5,9,10,11],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,6,8,10,12]];
G[3622]:=Group([(1,11)(2,13)(3,4)(5,8)(6,9)(7,10)]);
# Design 3623: autom. group order 2, simple
B[3623]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,7,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,7,9,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,10,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[3623]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3624: autom. group order 2, simple
B[3624]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,7,9,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,11],[3,5,10,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[3624]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3625: autom. group order 2, simple, derived
B[3625]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,13],[1,3,6,7,11,13],[1,4,6,9,12,13],[1,4,7,8,10,11],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,9,10,12],[2,4,7,8,9,13],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[3625]:=Group([(1,8)(3,9)(4,7)(5,13)]);
# Design 3626: autom. group order 2, simple, derived
B[3626]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,13],[1,3,6,7,11,13],[1,4,6,9,12,13],[1,4,7,8,10,12],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,9,10,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,7,8,9,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[3626]:=Group([(1,8)(3,9)(4,7)(5,13)]);
# Design 3627: autom. group order 2, simple
B[3627]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,6,7,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3627]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3628: autom. group order 2, simple
B[3628]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,6,7,12,13],[1,4,6,10,11,12],[1,4,7,8,9,13],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3628]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3629: autom. group order 2, simple, derived
B[3629]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,10,11],[1,3,6,7,11,12],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3629]:=Group([(1,9)(3,10)(4,7)(5,11)]);
# Design 3630: autom. group order 2, simple, derived
B[3630]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,10,11],[1,3,6,7,11,13],[1,4,6,10,11,12],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[3630]:=Group([(1,9)(3,10)(4,7)(5,11)]);
# Design 3631: autom. group order 2, simple
B[3631]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,6,7,10,12],[1,4,6,9,10,11],[1,4,7,8,12,13],[1,5,7,8,10,13],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,7,8,9,10],[3,4,6,8,10,13],[3,4,7,8,9,12],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3631]:=Group([(1,11)(2,8)(3,5)(4,12)(7,10)]);
# Design 3632: autom. group order 2, simple, derived
B[3632]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,7,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,9,12],[1,5,9,10,11,12],[1,6,7,10,12,13],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,8,10,11],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,4,7,8,10,13],[3,5,6,8,12,13],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3632]:=Group([(1,8)(3,10)(4,11)(5,7)]);
# Design 3633: autom. group order 2, simple
B[3633]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,7,8,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,9,10],[4,5,6,8,11,12]];
G[3633]:=Group([(1,10)(2,9)(5,12)(6,11)]);
# Design 3634: autom. group order 2, simple, derived
B[3634]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,7,8,12],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,9,10],[4,5,6,8,11,12]];
G[3634]:=Group([(1,10)(2,9)(5,12)(6,11)]);
# Design 3635: autom. group order 2, simple, derived
B[3635]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,6,7,8,13],[1,4,6,9,10,13],[1,4,7,10,11,13],[1,5,7,10,11,12],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,6,10,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,5,6,7,9,10],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,6,8,10,11],[3,4,7,8,9,12],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3635]:=Group([(1,10)(4,13)(5,12)(7,11)]);
# Design 3636: autom. group order 2, simple, derived
B[3636]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,7,8,13],[1,4,6,9,10,12],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,8,9,10,13],[2,4,5,9,10,11],[2,4,7,8,11,13],[2,5,6,9,12,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3636]:=Group([(1,11)(2,12)(4,8)(7,10)]);
# Design 3637: autom. group order 2, simple, derived
B[3637]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,10,13],[1,3,6,7,11,12],[1,4,6,10,12,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,9,11,13],[2,4,7,8,9,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,8,9,12],[3,5,9,11,12,13],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[3637]:=Group([(2,12)(3,13)(5,10)(7,9)]);
# Design 3638: autom. group order 2, simple, derived
B[3638]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,12,13],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,9,11,13],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3638]:=Group([(1,11)(2,12)(5,10)(6,9)]);
# Design 3639: autom. group order 2, simple
B[3639]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,12,13],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,10,12,13],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3639]:=Group([(1,11)(2,12)(5,10)(6,9)]);
# Design 3640: autom. group order 2, simple, derived
B[3640]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,12,13],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,9,11,13],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3640]:=Group([(1,11)(2,12)(5,10)(6,9)]);
# Design 3641: autom. group order 2, simple
B[3641]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,6,7,10,12],[1,4,6,9,10,11],[1,4,8,10,12,13],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,7,11,12,13],[2,5,6,10,12,13],[2,5,7,8,9,11],[2,6,7,8,9,10],[3,4,6,7,8,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3641]:=Group([(1,11)(2,8)(3,5)(4,12)(7,10)]);
# Design 3642: autom. group order 2, simple, derived
B[3642]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,6,7,8,10],[1,4,7,9,10,11],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,7,11,12],[4,5,6,9,10,13]];
G[3642]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3643: autom. group order 2, simple
B[3643]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,6,7,8,10],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,7,11,12],[4,5,6,9,10,13]];
G[3643]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3644: autom. group order 2, simple, derived
B[3644]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,7,10,12],[1,4,7,9,10,11],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,11,12,13],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[3644]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3645: autom. group order 2, simple
B[3645]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,6,7,9,10],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,10,11,12],[2,3,6,7,9,11],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,9,10,11,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,9,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,8,10,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,12,13]];
G[3645]:=Group([(1,12)(2,8)(3,4)(5,9)(6,11)]);
# Design 3646: autom. group order 2, simple
B[3646]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,10,11],[1,3,6,8,12,13],[1,4,6,7,9,13],[1,4,7,8,10,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,7,9,11],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,9,10,11,13],[2,5,6,9,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,8,10,13],[3,5,7,11,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3646]:=Group([(1,12)(2,8)(3,4)(5,9)(6,11)]);
# Design 3647: autom. group order 2, simple, derived
B[3647]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3647]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3648: autom. group order 2, simple, derived
B[3648]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,10,12,13],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3648]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3649: autom. group order 2, simple, derived
B[3649]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,6,9,10,13],[1,4,6,7,9,12],[1,4,7,8,9,11],[1,5,7,10,12,13],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,6,8,10,11],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3649]:=Group([(1,11)(3,7)(4,13)(5,9)]);
# Design 3650: autom. group order 2, simple, derived
B[3650]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,6,9,12,13],[1,4,6,7,9,10],[1,4,7,8,9,11],[1,5,7,10,12,13],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,6,8,10,11],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[3650]:=Group([(1,11)(3,7)(4,13)(5,9)]);
# Design 3651: autom. group order 2, simple
B[3651]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,10,12,13],[1,4,6,7,12,13],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[2,3,6,7,8,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3651]:=Group([(1,9)(2,11)(3,4)(5,13)(7,8)]);
# Design 3652: autom. group order 2, simple
B[3652]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,10,12],[1,4,6,7,8,10],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,7,8,10,13],[4,5,6,7,9,11],[4,5,6,9,10,12]];
G[3652]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3653: autom. group order 2, simple
B[3653]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,6,7,9,10],[1,4,7,10,11,13],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,9,11,12],[3,5,7,8,10,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3653]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3654: autom. group order 2, simple, derived
B[3654]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,7,9,12,13],[2,4,5,9,10,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,12,13]];
G[3654]:=Group([(1,11)(2,12)(4,8)]);
# Design 3655: autom. group order 2, simple, derived
B[3655]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,7,8,9,13],[2,4,5,9,10,11],[2,4,8,10,12,13],[2,5,6,9,12,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3655]:=Group([(1,11)(2,12)(4,8)]);
# Design 3656: autom. group order 2, simple, derived
B[3656]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,6,7,10,13],[1,4,7,9,11,13],[1,5,7,9,10,12],[1,5,9,10,11,12],[1,6,7,8,12,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,8,9,10,13],[2,5,6,11,12,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,7,8,9],[4,5,6,8,10,11]];
G[3656]:=Group([(1,5)(2,10)(3,12)(4,9)(6,11)(8,13)]);
# Design 3657: autom. group order 2, simple
B[3657]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,9,10,13],[1,4,6,7,9,12],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,8,9,13],[2,5,6,9,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,11,13],[4,5,6,8,9,13],[4,5,6,10,12,13]];
G[3657]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3658: autom. group order 2, simple, derived
B[3658]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,6,7,9,12],[1,4,7,8,9,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,9,10,13],[2,3,7,8,11,13],[2,4,5,8,10,11],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,12,13],[4,5,6,8,9,13],[4,5,6,10,11,13]];
G[3658]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3659: autom. group order 2, simple
B[3659]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,9,12,13],[1,4,6,7,8,13],[1,4,7,8,10,12],[1,5,7,10,11,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,5,9,10,11],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,8,10,12],[4,5,6,9,11,12]];
G[3659]:=Group([(1,11)(2,13)(5,8)(6,10)(7,9)]);
# Design 3660: autom. group order 2, simple
B[3660]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,6,7,9,10],[1,4,7,8,10,13],[1,5,7,8,9,11],[1,5,9,10,12,13],[1,6,7,10,11,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,9,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,8,10,13],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3660]:=Group([(1,12)(2,8)(3,4)(5,9)(6,11)]);
# Design 3661: autom. group order 2, simple
B[3661]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,6,7,8,11],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,7,9,10,11],[1,6,7,9,12,13],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,8,9,13],[4,5,6,10,11,13]];
G[3661]:=Group([(1,11)(2,12)(5,9)(6,8)]);
# Design 3662: autom. group order 2, simple, derived
B[3662]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,6,9,10,12],[1,4,6,7,8,11],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,9,10,13],[2,4,7,9,10,12],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,6,8,10,12]];
G[3662]:=Group([(1,8)(2,9)(5,13)(6,11)]);
# Design 3663: autom. group order 2, simple
B[3663]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,9,10,11],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,7,9,10,11],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,9,11,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,10,11,12],[4,5,6,7,8,9],[4,5,6,8,10,11]];
G[3663]:=Group([(1,8)(2,9)(5,12)(6,13)(7,11)]);
# Design 3664: autom. group order 2, simple, derived
B[3664]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,10,11],[2,4,5,9,10,12],[2,4,7,8,10,13],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,9,11,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,10,11,12],[4,5,6,7,8,9],[4,5,6,8,10,11]];
G[3664]:=Group([(1,8)(2,9)(5,12)(6,13)(7,11)]);
# Design 3665: autom. group order 2, simple, derived
B[3665]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,9,10,11],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,6,7,9,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,7,8,10,12],[2,5,6,9,12,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,4,8,9,12,13],[3,5,6,8,10,12],[3,5,7,9,10,11],[4,5,6,7,8,9],[4,5,6,10,11,13]];
G[3665]:=Group([(1,9)(2,8)(5,13)(6,11)(7,12)]);
# Design 3666: autom. group order 2, simple
B[3666]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,9,10,11],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,6,7,9,13],[2,3,7,8,10,12],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,9,12,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,7,9,10,11],[4,5,6,7,8,9],[4,5,6,8,10,12]];
G[3666]:=Group([(1,9)(2,8)(5,13)(6,11)(7,12)]);
# Design 3667: autom. group order 2, simple, derived
B[3667]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,5,7,8,10,11],[1,6,7,9,10,11],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,7,9,11,12],[2,5,6,8,10,11],[2,5,9,10,12,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,6,8,10,12]];
G[3667]:=Group([(1,11)(2,13)(3,4)(5,8)(6,9)(7,10)]);
# Design 3668: autom. group order 2, simple
B[3668]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,10,12,13],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,7,8,9,10],[2,3,6,7,8,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3668]:=Group([(1,9)(2,11)(3,4)(5,13)(7,8)]);
# Design 3669: autom. group order 2, simple
B[3669]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,6,9,10,12],[1,4,7,9,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,6,10,11,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,9,11],[3,5,9,10,11,12],[4,5,6,7,8,12],[4,5,6,8,9,13]];
G[3669]:=Group([(2,8)(3,11)(4,10)(5,7)(9,12)]);
# Design 3670: autom. group order 2, simple
B[3670]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,8,10,12,13],[2,6,7,9,11,13],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,8,11,12],[3,5,9,10,11,12],[4,5,6,7,8,11],[4,5,6,8,10,13]];
G[3670]:=Group([(2,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3671: autom. group order 2, simple
B[3671]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,7,8,13],[2,3,7,10,12,13],[2,4,5,9,10,12],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,6,7,11,12],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[3671]:=Group([(2,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3672: autom. group order 2, simple, derived
B[3672]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,9,10,12],[1,4,7,8,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,7,8,9,13],[2,4,5,9,10,11],[2,4,8,10,11,13],[2,5,6,9,12,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,7,9,11,12],[3,4,9,10,12,13],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[3672]:=Group([(1,11)(2,12)(4,8)(7,10)]);
# Design 3673: autom. group order 2, simple, derived
B[3673]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,12],[1,3,6,9,10,13],[1,4,6,8,10,11],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,7,8,11,13],[1,6,7,9,12,13],[2,3,6,7,8,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,8,10,12],[3,5,7,10,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3673]:=Group([(1,9)(2,8)(5,11)(6,13)]);
# Design 3674: autom. group order 2, simple
B[3674]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,6,9,10,12],[1,4,7,9,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,9,10,11,13],[2,4,5,10,11,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,7,10,12,13],[3,4,6,7,9,10],[3,4,7,8,10,13],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[3674]:=Group([(2,8)(3,11)(4,10)(5,7)(9,12)]);
# Design 3675: autom. group order 2, simple
B[3675]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,6,9,10,11],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,9,10,12,13],[2,4,5,9,12,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,7,8,9,13],[3,4,8,11,12,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,8,10,13],[4,5,6,9,10,12]];
G[3675]:=Group([(2,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3676: autom. group order 2, simple, derived
B[3676]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,5,7,9,11,12],[1,6,7,10,12,13],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,7,10,11],[2,5,9,10,12,13],[2,6,7,8,10,11],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,8,9,10],[4,5,6,8,11,12]];
G[3676]:=Group([(1,10)(2,9)(5,11)(6,12)]);
# Design 3677: autom. group order 2, simple
B[3677]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,7,8,9,11],[1,5,7,10,11,12],[1,6,7,9,10,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,7,9,11,13],[2,5,6,7,9,12],[2,5,8,9,10,13],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,10,11,12,13],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[3677]:=Group([(1,12)(2,8)(3,4)(5,9)(6,11)]);
# Design 3678: autom. group order 2, simple
B[3678]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,6,7,11,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,8,10],[3,5,9,10,11,12],[4,5,6,8,9,12],[4,5,6,10,11,13]];
G[3678]:=Group([(1,9)(2,8)(5,13)(6,11)]);
# Design 3679: autom. group order 2, simple
B[3679]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,8,10,11],[2,5,6,7,11,12],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,8,11,12,13],[4,5,6,8,10,13],[4,5,6,9,10,12]];
G[3679]:=Group([(2,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3680: autom. group order 2, simple
B[3680]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,11],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,6,7,9,10],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,8,10,12,13],[4,5,6,8,10,13],[4,5,6,9,11,12]];
G[3680]:=Group([(2,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3681: autom. group order 2, simple
B[3681]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,9,11,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,6,7,9,11,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,7,8,9],[3,5,8,10,11,13],[4,5,6,8,9,10],[4,5,6,8,11,12]];
G[3681]:=Group([(1,10)(2,9)(5,12)(6,11)]);
# Design 3682: autom. group order 2, simple, derived
B[3682]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,6,8,12,13],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,10,11,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,8,11,12],[2,4,5,9,11,13],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,8,10,12,13],[2,6,7,9,12,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,8,9,11,13],[4,5,6,8,9,10],[4,5,6,8,11,12]];
G[3682]:=Group([(1,9)(2,10)(5,12)(6,11)]);
# Design 3683: autom. group order 2, simple, derived
B[3683]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,9,10,13],[2,4,6,11,12,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,8,9,10],[4,5,7,8,11,13]];
G[3683]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3684: autom. group order 2, simple, derived
B[3684]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,7,8,11],[1,3,5,9,11,12],[1,3,6,9,12,13],[1,4,6,8,10,11],[1,4,7,9,10,12],[1,5,7,8,12,13],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,12,13],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,9,11,12],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[3684]:=Group([(1,9)(2,8)(5,11)(6,13)]);
# Design 3685: autom. group order 2, simple, derived
B[3685]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,11,13],[1,3,6,10,12,13],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,7,8,9,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,9,12,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,8,9,10],[4,5,7,8,11,13]];
G[3685]:=Group([(1,10)(2,9)(5,11)(6,12)]);
# Design 3686: autom. group order 2, simple
B[3686]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,5,6,9,10,11],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,6,7,11,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,8,10],[3,5,6,8,11,12],[4,5,6,8,9,12],[4,5,7,9,10,13]];
G[3686]:=Group([(2,11)(3,13)(4,8)(6,9)]);
# Design 3687: autom. group order 2, simple, derived
B[3687]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,12],[1,3,5,8,9,13],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,12,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,10],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,12],[4,5,6,8,10,12],[4,5,7,8,11,13]];
G[3687]:=Group([(2,12)(3,13)(5,9)]);
# Design 3688: autom. group order 2, simple, derived
B[3688]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,7,8,9,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[3688]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3689: autom. group order 2, simple, derived
B[3689]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,5,6,8,9,13],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,6,7,12,13],[3,4,7,8,11,13],[3,4,8,9,10,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[3689]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3690: autom. group order 2, simple
B[3690]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,9,10,13],[2,4,6,11,12,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,9,10,11,12]];
G[3690]:=Group([(2,11)(3,13)(4,8)(6,9)]);
# Design 3691: autom. group order 2, simple, derived
B[3691]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,11,12,13],[2,3,8,9,10,11],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,8,12,13],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,8,9],[4,5,9,10,11,12]];
G[3691]:=Group([(2,11)(3,13)(4,8)(6,9)]);
# Design 3692: autom. group order 2, simple
B[3692]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,6,10,11,12],[1,4,7,8,9,13],[1,5,7,11,12,13],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,10,11,13],[3,5,6,7,8,12],[3,5,6,8,9,11],[4,5,6,7,9,11],[4,5,8,9,12,13]];
G[3692]:=Group([(1,9)(4,12)(5,11)(6,13)(8,10)]);
# Design 3693: autom. group order 2, simple
B[3693]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,10,12,13],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,7,11,12,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,7,10,11,13],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,9,11],[4,5,8,9,12,13]];
G[3693]:=Group([(1,9)(4,12)(5,11)(6,13)(8,10)]);
# Design 3694: autom. group order 2, simple
B[3694]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,8,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,11,12,13],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,6,8,10,12],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,8,9,11,13]];
G[3694]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 3695: autom. group order 2, simple, derived
B[3695]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,11,12],[1,3,6,7,10,12],[1,4,6,7,9,13],[1,4,8,10,12,13],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,3,9,10,11,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,7,8,9,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,4,7,8,11,13],[3,5,6,8,10,11],[3,5,6,8,12,13],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[3695]:=Group([(1,8)(3,9)(4,12)(5,7)]);
# Design 3696: autom. group order 2, simple, derived
B[3696]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,7,8,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,7,10,11,12],[2,4,5,9,10,11],[2,4,6,10,12,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,6,9,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[3696]:=Group([(1,11)(2,13)(3,4)(5,8)(6,9)(7,10)]);
# Design 3697: autom. group order 2, simple
B[3697]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,12,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,9,10,12],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[3697]:=Group([(1,9)(2,11)(3,4)(5,13)(7,8)]);
# Design 3698: autom. group order 2, simple, derived
B[3698]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,11,12],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,7,9,10,11],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,6,7,10,11],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,8,13],[3,5,6,8,10,11],[4,5,6,11,12,13],[4,5,7,9,10,12]];
G[3698]:=Group([(1,10)(2,3)(4,12)(5,13)(6,11)(8,9)]);
# Design 3699: autom. group order 2, simple
B[3699]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,12,13],[4,5,6,8,9,10],[4,5,7,9,11,13]];
G[3699]:=Group([(2,8)(3,11)(4,10)(6,13)(9,12)]);
# Design 3700: autom. group order 2, simple
B[3700]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,7,10,11],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[3700]:=Group([(2,8)(3,11)(4,10)(6,13)(9,12)]);
# Design 3701: autom. group order 2, simple
B[3701]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,7,10,13],[1,4,6,9,12,13],[1,4,7,8,10,12],[1,5,7,8,9,13],[1,5,10,11,12,13],[1,6,7,9,10,11],[2,3,7,10,11,12],[2,3,9,10,12,13],[2,4,5,9,10,13],[2,4,6,8,10,11],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,11,13],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,6,9,11,12],[4,5,6,8,10,12],[4,5,7,9,10,11]];
G[3701]:=Group([(1,11)(2,8)(3,4)(5,13)(6,9)]);
# Design 3702: autom. group order 2, simple, derived
B[3702]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,6,7,9,12],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,7,9,11,13],[1,5,9,10,11,13],[1,6,7,8,10,12],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,9,12,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,7,11,13],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[3702]:=Group([(2,11)(3,13)(4,9)(6,10)]);
# Design 3703: autom. group order 2, simple
B[3703]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,7,11,12],[1,4,6,9,11,12],[1,4,7,8,10,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,9,11],[3,4,6,8,9,10],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,6,8,12,13],[4,5,6,7,9,13],[4,5,9,10,11,12]];
G[3703]:=Group([(1,8)(3,11)(4,9)(5,7)(10,12)]);
# Design 3704: autom. group order 2, simple
B[3704]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,10,12],[1,4,6,9,11,12],[1,4,7,8,11,13],[1,5,7,8,10,11],[1,5,8,9,10,13],[1,6,7,10,12,13],[2,3,7,9,11,13],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,7,8,9,12],[3,4,6,8,9,10],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,9,10,11,12]];
G[3704]:=Group([(1,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3705: autom. group order 2, simple
B[3705]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,6,11,12,13],[1,4,6,7,10,12],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,11,13],[2,3,7,9,10,12],[2,4,5,9,11,13],[2,4,6,8,10,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,8,10],[3,5,6,8,9,11],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[3705]:=Group([(2,13)(3,9)(4,7)(5,8)(10,12)]);
# Design 3706: autom. group order 2, simple
B[3706]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,6,11,12,13],[1,4,6,7,10,12],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,11,13],[2,3,7,9,10,12],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,8,9,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3706]:=Group([(2,13)(3,9)(4,7)(5,8)(10,12)]);
# Design 3707: autom. group order 2, simple, derived
B[3707]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,6,7,9,12],[1,4,7,8,9,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,7,8,11,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,9,10,13],[2,5,6,8,9,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,10,11,13],[4,5,7,8,12,13]];
G[3707]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3708: autom. group order 2, simple
B[3708]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,6,7,8,11],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,7,8,10,12],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,6,9,12,13],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,9,11,12],[4,5,6,8,10,12],[4,5,7,8,9,12]];
G[3708]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 3709: autom. group order 2, simple
B[3709]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,9,12,13],[1,4,6,7,8,13],[1,4,7,8,10,12],[1,5,7,10,11,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,7,10,11,12],[2,4,5,9,10,11],[2,4,6,10,12,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[4,5,6,9,11,12],[4,5,7,8,9,12]];
G[3709]:=Group([(1,11)(2,13)(5,8)(6,10)(7,9)]);
# Design 3710: autom. group order 2, simple, derived
B[3710]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,7,8,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[3710]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3711: autom. group order 2, simple, derived
B[3711]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,6,7,8,12],[4,5,8,9,10,13]];
G[3711]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3712: autom. group order 2, simple
B[3712]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,7,9,13],[1,4,7,8,10,12],[1,5,7,9,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,6,8,10,11],[2,5,6,11,12,13],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,10,13],[4,5,6,7,8,12],[4,5,9,10,11,12]];
G[3712]:=Group([(1,11)(2,8)(3,4)(5,13)(6,9)]);
# Design 3713: autom. group order 2, simple
B[3713]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,7,9,13],[1,4,7,8,10,12],[1,5,7,10,11,13],[1,5,8,9,10,13],[1,6,7,9,11,12],[2,3,7,9,10,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,8,12,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,8,10],[4,5,9,10,11,12]];
G[3713]:=Group([(1,11)(2,8)(3,4)(5,13)(6,9)]);
# Design 3714: autom. group order 2, simple
B[3714]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,9,12,13],[1,4,7,8,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,6,7,8,11],[2,5,6,10,11,13],[2,5,8,9,10,12],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,8,10,12],[4,5,7,9,11,12]];
G[3714]:=Group([(1,11)(2,8)(3,4)(5,13)(6,9)(7,10)]);
# Design 3715: autom. group order 2, simple
B[3715]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,7,8,9,10],[2,3,7,9,11,12],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,6,9,10,12],[4,5,6,7,9,12],[4,5,8,10,11,12]];
G[3715]:=Group([(1,9)(2,11)(3,4)(5,13)(7,8)]);
# Design 3716: autom. group order 2, simple
B[3716]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,10,12,13],[1,4,6,9,12,13],[1,4,7,8,10,12],[1,5,7,8,9,13],[1,5,7,9,10,11],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,6,8,10,11],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,6,7,9,10],[3,4,7,8,11,13],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,6,9,11,12],[4,5,6,7,8,12],[4,5,9,10,11,12]];
G[3716]:=Group([(1,11)(2,8)(3,4)(5,13)(6,9)]);
# Design 3717: autom. group order 2, simple, derived
B[3717]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,7,8,10,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,6,10,11,12],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,13],[4,5,6,8,9,10],[4,5,8,9,11,13]];
G[3717]:=Group([(1,9)(2,10)(5,12)(6,11)]);
# Design 3718: autom. group order 2, simple, derived
B[3718]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,8,10,12],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,7,9,10,11],[1,5,9,10,11,12],[1,6,7,8,11,13],[2,3,7,9,11,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,6,11,12,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,9,11,12],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,8,12,13],[4,5,6,7,8,9],[4,5,7,8,10,12]];
G[3718]:=Group([(1,5)(2,10)(3,11)(4,9)(6,12)(8,13)]);
# Design 3719: autom. group order 2, simple
B[3719]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,7,8,13],[1,4,6,7,10,12],[1,4,8,11,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,6,8,10,13],[4,5,7,9,10,11]];
G[3719]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3720: autom. group order 2, simple
B[3720]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,8,13],[1,4,6,7,10,11],[1,4,8,11,12,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,12],[3,4,6,9,10,11],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,8,10,13],[4,5,7,9,11,13]];
G[3720]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3721: autom. group order 2, simple
B[3721]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,6,7,9,13],[1,4,6,7,10,11],[1,4,9,11,12,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,6,8,12,13],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,9,10,13],[4,5,7,8,11,13]];
G[3721]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3722: autom. group order 2, simple, derived
B[3722]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,7,8,12],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,5,8,11,12,13],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,7,9,10,11]];
G[3722]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3723: autom. group order 2, simple
B[3723]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,8,11,13],[1,3,6,7,9,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[3723]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3724: autom. group order 2, simple
B[3724]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,6,7,12,13],[1,4,6,9,10,13],[1,4,7,8,11,13],[1,5,7,9,10,12],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,7,8,9,11],[3,4,6,8,10,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,8,9,12,13],[4,5,6,11,12,13],[4,5,7,9,10,11]];
G[3724]:=Group([(1,10)(2,3)(4,11)(5,13)(6,12)(8,9)]);
# Design 3725: autom. group order 2, simple, derived
B[3725]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,8,13],[1,4,6,8,10,11],[1,4,7,11,12,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,12],[3,4,6,9,10,11],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,8,9,11,13]];
G[3725]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3726: autom. group order 2, simple, derived
B[3726]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,6,7,9,13],[1,4,6,9,10,11],[1,4,7,11,12,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,6,8,12,13],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,8,9,11,13]];
G[3726]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3727: autom. group order 2, simple
B[3727]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,7,8,12],[1,4,6,9,12,13],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,7,9,11,12],[2,5,6,8,11,13],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,6,8,10,11],[3,4,8,9,10,13],[3,5,6,9,11,12],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,10,12]];
G[3727]:=Group([(1,12)(2,9)(4,11)(7,8)(10,13)]);
# Design 3728: autom. group order 2, simple
B[3728]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,7,8,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,7,9,11,12],[2,5,6,8,10,11],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,11,13],[3,4,8,9,10,13],[3,5,6,9,11,12],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[3728]:=Group([(1,12)(2,9)(4,11)(7,8)(10,13)]);
# Design 3729: autom. group order 2, simple, derived
B[3729]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,7,11,13],[1,4,6,10,12,13],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,7,8,9,13],[1,6,7,8,10,11],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,6,7,8,10,12],[3,4,6,7,8,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,8,9,11],[4,5,7,11,12,13]];
G[3729]:=Group([(1,4)(2,12)(3,13)(5,10)(7,9)(8,11)]);
# Design 3730: autom. group order 2, simple
B[3730]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,10,12,13],[1,3,6,7,8,12],[1,4,6,9,12,13],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,11,12],[2,5,6,7,11,13],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,10,12]];
G[3730]:=Group([(1,12)(2,9)(4,11)(7,8)(10,13)]);
# Design 3731: autom. group order 2, simple
B[3731]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,11,12,13],[1,3,5,10,12,13],[1,3,6,7,8,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,7,8,11,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,11,12],[2,5,6,7,10,11],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,8,9,11,12],[4,5,6,8,9,13],[4,5,7,8,10,12]];
G[3731]:=Group([(1,12)(2,9)(4,11)(7,8)(10,13)]);
# Design 3732: autom. group order 2, simple, derived
B[3732]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,6,7,9,13],[1,4,7,10,11,13],[1,5,7,9,10,12],[1,5,9,10,11,12],[1,6,7,8,12,13],[2,3,7,9,11,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,8,9,10,13],[2,5,6,7,8,9],[2,5,6,11,12,13],[2,6,7,8,10,12],[3,4,6,7,10,12],[3,4,6,9,11,12],[3,4,8,9,12,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[3732]:=Group([(1,5)(2,10)(3,12)(4,9)(6,11)(8,13)]);
# Design 3733: autom. group order 2, simple, derived
B[3733]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,7,8,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,6,7,10,11,13],[3,4,6,9,11,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,10,12,13],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[3733]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3734: autom. group order 2, simple, derived
B[3734]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,6,8,10,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,6,7,10,11,13],[3,4,6,9,11,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,8,9,10,13]];
G[3734]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3735: autom. group order 2, simple
B[3735]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,9,11,12],[1,3,6,8,10,13],[1,4,7,9,10,11],[1,4,9,10,11,13],[1,5,6,9,12,13],[1,5,7,8,12,13],[1,6,7,8,10,12],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,7,10,12,13],[3,5,7,8,10,11],[3,5,8,9,11,13],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[3735]:=Group([(2,11)(3,9)(5,10)(6,13)(8,12)]);
# Design 3736: autom. group order 2, simple
B[3736]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,9,11,12],[1,3,6,8,10,13],[1,4,7,9,10,11],[1,4,9,10,11,13],[1,5,6,9,12,13],[1,5,7,8,12,13],[1,6,7,8,10,12],[2,3,6,9,10,12],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,8,9,10],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,7,10,12,13],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,7,8,9],[4,5,6,8,10,11]];
G[3736]:=Group([(2,11)(3,9)(5,10)(6,13)(8,12)]);
# Design 3737: autom. group order 2, simple, derived
B[3737]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,12,13],[1,3,6,7,11,12],[1,4,7,8,11,13],[1,4,7,9,10,12],[1,5,6,9,11,13],[1,5,9,10,11,13],[1,6,7,8,10,12],[2,3,6,7,9,13],[2,3,9,10,11,12],[2,4,5,10,12,13],[2,4,7,11,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[3737]:=Group([(2,11)(3,13)(4,9)(7,10)]);
# Design 3738: autom. group order 2, simple
B[3738]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,6,7,10,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,6,7,8,12],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,8,10,13],[4,5,6,9,10,11]];
G[3738]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3739: autom. group order 2, simple
B[3739]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,6,7,10,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,9,11,13],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,8,12,13],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,8,10,13],[4,5,6,9,10,11]];
G[3739]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3740: autom. group order 2, simple
B[3740]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,7,8,11,13],[1,4,9,10,11,12],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,7,8,9,11],[3,5,10,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[3740]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3741: autom. group order 2, simple, derived
B[3741]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,13],[1,3,6,7,11,13],[1,4,7,8,10,12],[1,4,9,10,12,13],[1,5,6,7,9,12],[1,5,8,10,11,13],[1,6,7,9,10,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,7,8,9,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,5,7,8,10,12],[3,5,9,11,12,13],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[3741]:=Group([(1,8)(3,9)(4,7)(5,13)]);
# Design 3742: autom. group order 2, simple
B[3742]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,6,7,11,12],[1,4,7,8,9,13],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3742]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3743: autom. group order 2, simple, derived
B[3743]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,8,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,9,11],[1,5,9,10,12,13],[1,6,7,8,12,13],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,5,6,10,11,13],[2,5,7,8,9,10],[2,6,7,8,10,11],[3,4,6,8,9,10],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[3743]:=Group([(1,11)(2,12)(4,8)(6,9)]);
# Design 3744: autom. group order 2, simple, derived
B[3744]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,8,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,6,7,9,11],[1,5,9,10,12,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,7,9,10,11],[2,5,6,10,11,13],[2,5,7,8,9,10],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[3744]:=Group([(1,11)(2,12)(4,8)(6,9)]);
# Design 3745: autom. group order 2, simple, derived
B[3745]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,10,11],[1,3,6,7,11,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,6,8,9,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3745]:=Group([(1,9)(3,10)(4,7)(5,11)]);
# Design 3746: autom. group order 2, simple
B[3746]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,9,13],[1,4,7,10,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,6,7,8,9,11],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,7,8,9,10],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,8,11,13],[3,5,7,9,11,12],[3,5,8,9,10,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3746]:=Group([(2,12)(3,13)(5,10)(6,9)]);
# Design 3747: autom. group order 2, simple
B[3747]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,7,10,13],[1,4,7,9,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,7,10,11,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,7,9,11,13],[3,5,8,9,10,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3747]:=Group([(2,12)(3,13)(5,9)(6,10)]);
# Design 3748: autom. group order 2, simple
B[3748]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,7,10,13],[1,4,7,9,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,9,11,13],[2,5,7,10,12,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,7,8,9,13],[3,5,9,10,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[3748]:=Group([(2,12)(3,13)(5,9)(6,10)]);
# Design 3749: autom. group order 2, simple, derived
B[3749]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,7,10,13],[1,4,7,9,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,10,11,12,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,7,9,10,12],[3,5,8,9,11,13],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[3749]:=Group([(2,12)(3,13)(5,9)(6,10)]);
# Design 3750: autom. group order 2, simple, derived
B[3750]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,7,10,13],[1,4,7,9,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,8,9,10],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,7,10,11,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,7,9,10,12],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3750]:=Group([(2,12)(3,13)(5,9)(6,10)]);
# Design 3751: autom. group order 2, simple, derived
B[3751]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,8,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,9,10,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,8,9,10,13],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,6,10,12,13]];
G[3751]:=Group([(1,11)(2,12)(4,8)(6,9)]);
# Design 3752: autom. group order 2, simple
B[3752]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,9,13],[1,4,7,10,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,8,9,13],[2,4,7,9,11,13],[2,5,6,9,10,12],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,6,7,11,12],[3,4,6,8,10,12],[3,4,8,9,10,11],[3,5,7,8,9,12],[3,5,9,11,12,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3752]:=Group([(2,12)(3,13)(5,10)(6,9)]);
# Design 3753: autom. group order 2, simple, derived
B[3753]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,9,13],[1,4,7,10,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,9,11,13],[2,4,7,8,9,13],[2,5,6,9,10,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,6,7,8,12],[3,4,6,10,11,12],[3,4,8,9,10,11],[3,5,7,9,11,12],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[3753]:=Group([(2,12)(3,13)(5,10)(6,9)]);
# Design 3754: autom. group order 2, simple, derived
B[3754]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,8,9,10],[1,6,7,9,11,13],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,9,11,13],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[3754]:=Group([(1,11)(2,12)(4,8)(6,9)]);
# Design 3755: autom. group order 2, simple, derived
B[3755]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,6,7,11,12],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,8,9,12,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[3755]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3756: autom. group order 2, simple, derived
B[3756]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,6,7,12,13],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,9,11,12],[1,5,7,8,10,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,11],[3,4,6,8,9,11],[3,4,8,9,12,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3756]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3757: autom. group order 2, simple, derived
B[3757]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,6,7,12,13],[1,4,7,8,9,13],[1,4,8,10,12,13],[1,5,6,9,11,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,11],[3,4,6,8,9,11],[3,4,9,11,12,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[3757]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3758: autom. group order 2, simple
B[3758]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,6,7,10,13],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,6,8,11,12],[1,5,7,8,10,12],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,8,10,13],[4,5,6,9,10,11]];
G[3758]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3759: autom. group order 2, simple
B[3759]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,6,7,10,13],[1,4,7,10,12,13],[1,4,8,10,11,13],[1,5,6,8,11,12],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,9,11,13],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,6,7,8,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,8,10,13],[4,5,6,9,10,11]];
G[3759]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3760: autom. group order 2, simple, derived
B[3760]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,7,9,10,11],[1,4,7,9,10,12],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,5,7,8,10,12],[3,5,9,11,12,13],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[3760]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3761: autom. group order 2, simple
B[3761]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,7,8,10,12],[1,4,7,9,10,11],[1,5,6,7,12,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,7,8,10,12],[3,5,8,11,12,13],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[3761]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3762: autom. group order 2, simple, derived
B[3762]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,6,9,12,13],[1,4,7,8,9,11],[1,4,7,9,10,12],[1,5,6,7,10,13],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,6,8,10,11],[3,4,6,9,10,11],[3,4,7,8,12,13],[3,5,7,8,9,12],[3,5,10,11,12,13],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[3762]:=Group([(1,11)(3,7)(4,13)(5,9)]);
# Design 3763: autom. group order 2, simple
B[3763]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,7,9,10,13],[1,4,7,10,11,13],[1,5,6,7,9,12],[1,5,8,9,10,11],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,7,8,10,13],[3,5,9,11,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3763]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3764: autom. group order 2, simple, derived
B[3764]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,12,13],[1,3,6,10,12,13],[1,4,7,8,12,13],[1,4,7,9,10,11],[1,5,6,8,9,11],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,9,11,13],[2,4,5,9,10,12],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,7,8,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[3764]:=Group([(1,12)(2,11)(4,8)(6,10)]);
# Design 3765: autom. group order 2, simple, derived
B[3765]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,7,9,10,11],[1,4,7,9,10,12],[1,5,6,8,10,11],[1,5,7,8,12,13],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,7,8,13],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,7,8,10,12],[3,5,9,11,12,13],[4,5,6,7,11,12],[4,5,6,9,10,13]];
G[3765]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3766: autom. group order 2, simple, derived
B[3766]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,7,8,10,12],[1,4,7,9,10,11],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,7,8,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,7,8,10,12],[3,5,8,11,12,13],[4,5,6,7,11,12],[4,5,6,9,10,13]];
G[3766]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3767: autom. group order 2, simple
B[3767]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,7,8,10,12],[1,4,7,9,10,11],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,7,8,10,12],[3,5,8,11,12,13],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[3767]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3768: autom. group order 2, simple, derived
B[3768]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,10,12],[1,4,7,9,10,13],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,7,8,9,12],[1,6,7,8,12,13],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,8,9,10,11],[3,5,7,8,10,13],[3,5,9,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3768]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3769: autom. group order 2, simple
B[3769]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,10,12],[1,4,7,8,9,10],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,7,8,12],[3,4,6,8,11,13],[3,4,9,10,11,13],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,6,9,10,12]];
G[3769]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3770: autom. group order 2, simple, derived
B[3770]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,9,10,12],[1,4,7,8,9,10],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,8,12,13],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,9,10,11,13],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[3770]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3771: autom. group order 2, simple, derived
B[3771]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,7,8,9,10],[1,4,7,10,11,13],[1,5,6,9,10,11],[1,5,7,9,12,13],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,9,10,11,13],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[3771]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3772: autom. group order 2, simple, derived
B[3772]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,11,12,13],[1,3,6,9,10,11],[1,4,7,10,11,13],[1,4,9,11,12,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,7,9,10,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,9,11,12],[3,4,6,7,8,13],[3,4,6,10,12,13],[3,4,7,8,9,12],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,5,6,8,10,11]];
G[3772]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3773: autom. group order 2, simple
B[3773]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,9,10,12,13],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,7,8,10,11],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,7,10,12,13],[3,4,6,7,9,10],[3,4,6,8,11,12],[3,4,7,8,10,13],[3,5,7,9,11,12],[3,5,8,9,11,13],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[3773]:=Group([(2,8)(3,11)(4,10)(5,7)(9,12)]);
# Design 3774: autom. group order 2, simple
B[3774]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,6,7,10,11],[1,5,7,8,9,12],[1,6,7,8,9,12],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,6,8,11,12],[3,4,7,8,9,13],[3,5,7,10,11,12],[3,5,8,11,12,13],[4,5,6,8,10,13],[4,5,6,9,10,12]];
G[3774]:=Group([(2,8)(3,12)(4,9)(5,7)(10,11)]);
# Design 3775: autom. group order 2, simple
B[3775]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,9,12,13],[1,3,6,8,11,12],[1,4,7,9,10,11],[1,4,7,9,12,13],[1,5,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,6,9,10,11],[2,5,6,7,9,12],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,11,12,13],[4,5,7,8,10,12]];
G[3775]:=Group([(1,10)(2,3)(4,12)(5,13)(6,11)(8,9)]);
# Design 3776: autom. group order 2, simple
B[3776]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,6,9,11,12],[1,4,7,9,10,11],[1,4,7,9,12,13],[1,5,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,10,11],[2,5,6,7,9,12],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,11,12,13],[4,5,7,8,10,12]];
G[3776]:=Group([(1,10)(2,3)(4,12)(5,13)(6,11)(8,9)]);
# Design 3777: autom. group order 2, simple
B[3777]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,7,8,11],[1,3,5,9,11,12],[1,3,6,9,10,12],[1,4,7,8,10,11],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,10,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,9,11,12],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[3777]:=Group([(1,9)(2,8)(5,11)(7,13)]);
# Design 3778: autom. group order 2, simple
B[3778]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,9,12,13],[1,3,6,8,11,12],[1,4,7,9,10,11],[1,4,7,9,12,13],[1,5,6,9,10,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,6,9,10,11],[2,5,6,8,9,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,11,12,13],[4,5,7,8,10,12]];
G[3778]:=Group([(1,10)(2,3)(4,12)(5,13)(6,11)(8,9)]);
# Design 3779: autom. group order 2, simple
B[3779]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,10,11,13],[1,3,6,8,10,13],[1,4,7,9,11,13],[1,4,7,10,12,13],[1,5,6,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,9,10,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,6,7,8,12],[3,4,6,9,10,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[3779]:=Group([(1,10)(2,9)(5,11)(7,12)]);
# Design 3780: autom. group order 2, simple
B[3780]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,6,9,11,12],[1,4,7,9,10,11],[1,4,7,9,12,13],[1,5,6,9,10,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,10,11],[2,5,6,8,9,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,11,12,13],[4,5,7,8,10,12]];
G[3780]:=Group([(1,10)(2,3)(4,12)(5,13)(6,11)(8,9)]);
# Design 3781: autom. group order 2, simple, derived
B[3781]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,12,13],[1,3,6,8,10,12],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,9,11,12,13],[1,6,7,8,11,13],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,9,10,11],[4,5,7,8,10,12]];
G[3781]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3782: autom. group order 2, simple
B[3782]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[3782]:=Group([(1,9)(4,12)(5,11)(6,13)(8,10)]);
# Design 3783: autom. group order 2, simple
B[3783]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,10,12,13],[1,4,7,9,10,13],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,8,9,10,11],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[3783]:=Group([(1,9)(4,12)(5,11)(6,13)(8,10)]);
# Design 3784: autom. group order 2, simple
B[3784]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,9,11,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,7,12,13],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[3784]:=Group([(1,9)(4,12)(5,11)(6,13)(8,10)]);
# Design 3785: autom. group order 2, simple
B[3785]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,8,10,12],[1,4,7,9,10,13],[1,4,10,11,12,13],[1,5,6,9,11,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,7,12,13],[3,4,8,9,10,13],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,8,9,11]];
G[3785]:=Group([(1,9)(4,12)(5,11)(6,13)(8,10)]);
# Design 3786: autom. group order 2, simple, derived
B[3786]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,9,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,6,9,10,11],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,9,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,11,12,13],[4,5,7,8,10,11]];
G[3786]:=Group([(1,10)(2,3)(4,11)(5,13)(6,12)(8,9)]);
# Design 3787: autom. group order 2, simple, derived
B[3787]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,6,7,10,13],[1,4,7,8,10,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,9,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,8,10,11],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,8,9,12,13],[3,5,6,9,10,12],[3,5,7,8,10,11],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[3787]:=Group([(1,9)(2,8)(5,13)(7,12)]);
# Design 3788: autom. group order 2, simple, derived
B[3788]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,6,7,8,12],[1,4,7,8,10,11],[1,4,7,9,12,13],[1,5,6,9,11,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,9,10,11,12],[3,5,6,8,10,11],[3,5,7,8,9,13],[4,5,6,8,12,13],[4,5,7,8,9,10]];
G[3788]:=Group([(1,10)(2,9)(5,12)(7,11)]);
# Design 3789: autom. group order 2, simple
B[3789]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,11,12,13],[1,3,6,7,9,13],[1,4,7,8,10,13],[1,4,8,9,12,13],[1,5,6,7,8,12],[1,5,9,10,11,13],[1,6,7,10,11,12],[2,3,7,8,11,13],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[3789]:=Group([(1,13)(3,7)(4,11)(5,8)(10,12)]);
# Design 3790: autom. group order 2, simple, derived
B[3790]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,7,9,12],[1,4,7,10,12,13],[1,4,9,10,12,13],[1,5,6,7,8,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,9,10],[2,5,6,10,11,12],[2,5,7,9,11,12],[2,6,7,8,12,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,9,10,13],[3,5,7,8,10,12],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[3790]:=Group([(1,4)(2,12)(3,10)(5,13)(6,9)(8,11)]);
# Design 3791: autom. group order 2, simple, derived
B[3791]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,7,8,10],[1,4,7,10,12,13],[1,4,9,10,12,13],[1,5,6,7,9,12],[1,5,8,9,10,11],[1,6,7,8,11,13],[2,3,7,9,11,12],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,9,13],[2,5,6,10,11,12],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,9,10,13],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,8,9,11]];
G[3791]:=Group([(1,4)(2,12)(3,10)(5,13)(6,9)(8,11)]);
# Design 3792: autom. group order 2, simple
B[3792]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,7,8,12],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,8,11,12,13],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,7,9,10,11]];
G[3792]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3793: autom. group order 2, simple
B[3793]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,8,11],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,6,8,12,13],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[3793]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3794: autom. group order 2, simple, derived
B[3794]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,6,7,9,12],[1,4,7,10,12,13],[1,4,9,10,12,13],[1,5,6,7,11,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,8,12,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,9,10,13],[3,5,7,10,11,12],[4,5,6,8,9,12],[4,5,7,8,9,13]];
G[3794]:=Group([(1,4)(2,12)(3,10)(5,13)(6,9)(8,11)]);
# Design 3795: autom. group order 2, simple
B[3795]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,8,12,13],[1,3,6,7,11,13],[1,4,7,9,12,13],[1,4,9,10,12,13],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,6,7,8,9,11],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,6,8,10,12],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[3795]:=Group([(1,4)(2,12)(3,9)(5,13)(6,10)(8,11)]);
# Design 3796: autom. group order 2, simple
B[3796]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,6,7,9,11],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,6,9,10,11],[4,5,7,8,11,13]];
G[3796]:=Group([(1,10)(4,13)(5,11)(6,12)]);
# Design 3797: autom. group order 2, simple
B[3797]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,7,8,10,13],[1,4,9,11,12,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,9,10,11],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,5,6,10,11,12],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,8,9,11,13],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[3797]:=Group([(1,13)(3,7)(4,12)(5,8)(9,11)]);
# Design 3798: autom. group order 2, simple
B[3798]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,7,8,10,13],[1,4,9,11,12,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,9,10,11],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,8,11,12],[3,5,8,9,11,13],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[3798]:=Group([(1,13)(3,7)(4,12)(5,8)(9,11)]);
# Design 3799: autom. group order 2, simple, derived
B[3799]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,7,10,13],[1,4,7,9,12,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,7,8,12,13],[2,3,9,10,11,12],[2,4,5,8,10,13],[2,4,6,7,9,11],[2,5,6,11,12,13],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[3799]:=Group([(2,12)(3,13)(5,9)(6,10)]);
# Design 3800: autom. group order 2, simple, derived
B[3800]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,6,7,8,13],[1,4,7,9,10,13],[1,4,8,11,12,13],[1,5,6,10,11,12],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,8,10,13],[4,5,7,9,10,11]];
G[3800]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3801: autom. group order 2, simple
B[3801]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,8,11,13],[1,3,6,7,9,13],[1,4,7,8,10,13],[1,4,9,11,12,13],[1,5,6,10,11,12],[1,5,7,9,10,12],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,7,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[3801]:=Group([(1,10)(4,13)(5,12)(6,11)]);
# Design 3802: autom. group order 2, simple, derived
B[3802]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,11,13],[1,3,5,9,11,12],[1,3,6,7,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,3,9,10,11,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,7,8,9,12],[3,4,6,7,8,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,10,11],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[3802]:=Group([(1,8)(3,9)(4,12)(5,7)]);
# Design 3803: autom. group order 2, simple
B[3803]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,7,8,9,13],[1,4,7,10,11,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,7,8,11,13],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,7,8,12],[3,4,6,9,12,13],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[3803]:=Group([(1,13)(3,7)(4,11)(5,8)(10,12)]);
# Design 3804: autom. group order 2, simple
B[3804]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,7,8,9,13],[1,4,7,10,11,12],[1,5,6,7,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,7,8,11,13],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,6,8,9,11],[4,5,7,8,9,12]];
G[3804]:=Group([(1,13)(3,7)(4,11)(5,8)(10,12)]);
# Design 3805: autom. group order 2, simple
B[3805]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,6,10,11,12],[1,4,7,8,10,11],[1,4,7,9,10,12],[1,5,6,7,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,6,10,12,13],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,6,7,8,12,13],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,10,11,13],[4,5,6,7,8,9],[4,5,8,10,11,12]];
G[3805]:=Group([(1,11)(2,13)(5,9)(7,8)]);
# Design 3806: autom. group order 2, simple
B[3806]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,6,8,11,13],[1,4,7,8,10,13],[1,4,7,9,11,13],[1,5,6,7,11,12],[1,5,8,9,10,12],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[3806]:=Group([(1,11)(2,12)(5,10)(7,9)]);
# Design 3807: autom. group order 2, simple
B[3807]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,9,13],[1,4,7,8,10,13],[1,4,7,9,11,12],[1,5,6,7,11,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,9,10,11],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[3807]:=Group([(1,13)(3,7)(4,12)(5,8)(9,11)]);
# Design 3808: autom. group order 2, simple
B[3808]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,13],[1,4,7,8,10,13],[1,4,7,9,11,12],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,7,9,10,11],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,5,6,10,11,12],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,9,11,12,13],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[3808]:=Group([(1,13)(3,7)(4,12)(5,8)(9,11)]);
# Design 3809: autom. group order 2, simple
B[3809]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,9,11,13],[1,4,6,7,10,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,8,9,10,11],[2,5,6,11,12,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,4,9,10,12,13],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[3809]:=Group([(2,8)(3,12)(4,10)(6,13)(9,11)]);
# Design 3810: autom. group order 2, simple
B[3810]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,6,7,9,12],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,8,9,10,11],[2,5,6,11,12,13],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,9,11,12,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[3810]:=Group([(2,8)(3,12)(4,9)(6,13)(10,11)]);
# Design 3811: autom. group order 2, simple
B[3811]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,9,11,13],[1,4,6,7,10,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,8,12,13],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,7,10,11,12],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[3811]:=Group([(2,8)(3,12)(4,10)(6,13)(9,11)]);
# Design 3812: autom. group order 2, simple
B[3812]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,7,9,11,12],[2,5,6,7,9,10],[2,5,9,10,11,13],[2,6,7,8,10,12],[3,4,6,9,11,12],[3,4,7,8,9,10],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,8,10,11],[4,5,7,8,11,13]];
G[3812]:=Group([(2,8)(3,12)(4,9)(6,13)(10,11)]);
# Design 3813: autom. group order 2, simple, derived
B[3813]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,9,12],[1,4,6,9,10,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,8,9,13],[2,5,6,9,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,10,12,13],[4,5,7,8,11,13]];
G[3813]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3814: autom. group order 2, simple, derived
B[3814]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,9,12],[1,4,6,9,10,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,8,9,13],[2,4,5,8,10,11],[2,4,7,10,12,13],[2,5,6,9,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,10,12,13],[4,5,6,8,9,13],[4,5,7,8,11,13]];
G[3814]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3815: autom. group order 2, simple, derived
B[3815]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,9,12],[1,4,6,9,10,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,10,11,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,8,9,13],[2,5,6,8,9,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,10,12,13],[4,5,7,8,11,13]];
G[3815]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3816: autom. group order 2, simple, derived
B[3816]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,9,12],[1,4,6,9,10,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,5,8,10,11],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,10,12,13],[4,5,6,8,9,13],[4,5,7,8,11,13]];
G[3816]:=Group([(1,11)(2,12)(5,9)(6,8)(7,10)]);
# Design 3817: autom. group order 2, simple, derived
B[3817]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,6,7,8,11],[1,4,6,10,12,13],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[4,5,6,9,11,12],[4,5,7,8,9,12]];
G[3817]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 3818: autom. group order 2, simple, derived
B[3818]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,6,7,8,11],[1,4,6,10,12,13],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,9,10,13],[2,4,7,9,11,12],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,9,11,12],[4,5,6,8,10,12],[4,5,7,8,9,12]];
G[3818]:=Group([(1,13)(2,11)(5,8)(6,10)(7,9)]);
# Design 3819: autom. group order 2, simple
B[3819]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,8,10,12],[1,4,6,7,8,13],[1,4,6,9,12,13],[1,5,7,10,11,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,9,12,13],[2,4,5,9,10,11],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,9,11,12],[4,5,6,8,10,12],[4,5,7,8,9,12]];
G[3819]:=Group([(1,11)(2,13)(5,8)(6,10)(7,9)]);
# Design 3820: autom. group order 2, simple, derived
B[3820]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,7,9,11,12],[1,4,6,7,8,11],[1,4,6,10,12,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,8,13],[3,5,6,10,11,12],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[3820]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3821: autom. group order 2, simple, derived
B[3821]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,7,9,11,12],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,8,11],[3,5,6,10,12,13],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[3821]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3822: autom. group order 2, simple, derived
B[3822]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,7,11,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,7,9,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,8,11],[3,5,6,10,12,13],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[3822]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3823: autom. group order 2, simple
B[3823]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,9,11,13],[1,4,6,7,10,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,8,12,13],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,7,10,11,12],[2,5,6,9,10,11],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[3823]:=Group([(2,8)(3,12)(4,10)(6,13)(9,11)]);
# Design 3824: autom. group order 2, simple
B[3824]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,7,9,11,12],[2,5,6,9,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,9,10],[3,4,9,11,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,8,11],[4,5,8,10,11,13]];
G[3824]:=Group([(2,8)(3,12)(4,9)(6,13)(10,11)]);
# Design 3825: autom. group order 2, simple
B[3825]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,6,9,10,11],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,8,9,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[4,5,6,9,11,13],[4,5,7,8,12,13]];
G[3825]:=Group([(1,12)(2,11)(5,10)(6,8)]);
# Design 3826: autom. group order 2, simple, derived
B[3826]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,9,10,11],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,6,9,11,12],[4,5,6,9,11,13],[4,5,7,8,12,13]];
G[3826]:=Group([(1,12)(2,11)(5,10)(6,8)]);
# Design 3827: autom. group order 2, simple
B[3827]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,8,10,12],[1,4,6,7,9,10],[1,4,6,8,9,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,9,11],[3,4,6,7,11,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,6,9,10,11],[4,5,6,8,9,12],[4,5,7,8,10,13]];
G[3827]:=Group([(1,8)(3,11)(4,9)(5,7)(10,12)]);
# Design 3828: autom. group order 2, simple
B[3828]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,8,10,12],[1,4,6,7,9,12],[1,4,6,8,9,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,6,9,11,12],[4,5,6,8,9,10],[4,5,7,8,12,13]];
G[3828]:=Group([(1,8)(3,11)(4,9)(5,7)(10,12)]);
# Design 3829: autom. group order 2, simple, derived
B[3829]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,8,10],[1,4,6,9,12,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,8,9,10],[3,5,6,8,11,12],[4,5,6,8,11,13],[4,5,7,8,9,12]];
G[3829]:=Group([(1,12)(2,11)(5,10)(6,9)]);
# Design 3830: autom. group order 2, simple
B[3830]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,8,10],[1,4,6,10,11,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,8,9,10],[3,5,6,8,11,12],[4,5,6,8,11,13],[4,5,7,8,9,12]];
G[3830]:=Group([(1,12)(2,11)(5,10)(6,9)]);
# Design 3831: autom. group order 2, simple, derived
B[3831]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,6,9,10,11],[1,5,7,8,9,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,10,11],[2,4,5,9,10,12],[2,4,7,8,10,13],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,9,11,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,6,10,12,13],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[3831]:=Group([(1,8)(2,9)(5,12)(6,13)(7,11)]);
# Design 3832: autom. group order 2, simple, derived
B[3832]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,9,10,12],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,6,7,9,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,7,8,10,12],[2,5,6,9,12,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,4,8,9,12,13],[3,5,6,8,10,12],[3,5,6,10,11,13],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[3832]:=Group([(1,9)(2,8)(5,13)(6,11)(7,12)]);
# Design 3833: autom. group order 2, simple
B[3833]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,12],[1,3,7,9,10,11],[1,4,6,8,10,12],[1,4,6,9,10,13],[1,5,7,8,10,13],[1,5,7,8,12,13],[1,6,7,9,11,13],[2,3,6,7,8,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,7,8,10,11],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,6,10,12,13],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[3833]:=Group([(1,9)(2,8)(5,12)(6,13)]);
# Design 3834: autom. group order 2, simple
B[3834]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,10,13],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,7,8,9,12],[1,5,7,9,11,12],[1,6,7,10,12,13],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,7,10,11],[2,5,9,10,12,13],[2,6,7,8,10,11],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,8,9,10],[4,5,7,8,11,13]];
G[3834]:=Group([(1,10)(2,9)(5,11)(6,12)]);
# Design 3835: autom. group order 2, simple
B[3835]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,7,9,12,13],[1,4,6,8,10,13],[1,4,6,9,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,7,11,13],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,7,8,12,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,6,8,12,13],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[3835]:=Group([(1,11)(2,12)(5,10)(6,9)]);
# Design 3836: autom. group order 2, simple, derived
B[3836]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,8,11,12,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,7,8,9,11],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,6,7,11,13],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,7,8,9,12],[2,5,6,10,11,12],[2,5,9,10,11,12],[2,6,7,8,10,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,6,8,9,11],[4,5,6,8,9,13],[4,5,7,11,12,13]];
G[3836]:=Group([(1,12)(2,5)(3,11)(4,10)(7,9)(8,13)]);
# Design 3837: autom. group order 2, simple
B[3837]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,8,10,12,13],[1,4,6,7,8,11],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,5,7,9,10,11],[1,6,7,9,12,13],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,5,9,10,12],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,10,11,12],[4,5,6,8,9,13],[4,5,8,10,11,13]];
G[3837]:=Group([(1,11)(2,12)(5,9)(6,8)]);
# Design 3838: autom. group order 2, simple, derived
B[3838]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,9,10,11,12],[1,4,6,7,8,11],[1,4,6,10,12,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,9,10,13],[2,4,7,9,10,12],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[4,5,6,8,9,12],[4,5,8,10,11,12]];
G[3838]:=Group([(1,8)(2,9)(5,13)(6,11)]);
# Design 3839: autom. group order 2, simple
B[3839]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,9,11,13],[1,4,6,7,10,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,7,8,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,6,11,12,13],[2,6,7,8,9,12],[3,4,6,7,8,12],[3,4,6,9,10,12],[3,4,10,11,12,13],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,7,8,9,13],[4,5,7,9,10,11]];
G[3839]:=Group([(2,8)(3,12)(4,10)(6,13)(9,11)]);
# Design 3840: autom. group order 2, simple
B[3840]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,7,8,11,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,6,11,12,13],[2,6,7,8,10,12],[3,4,6,7,8,12],[3,4,6,9,11,12],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[4,5,7,8,11,13],[4,5,7,9,10,11]];
G[3840]:=Group([(2,8)(3,12)(4,9)(6,13)(10,11)]);
# Design 3841: autom. group order 2, simple, derived
B[3841]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,12],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,9,10,11],[4,5,7,8,9,10]];
G[3841]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3842: autom. group order 2, simple, derived
B[3842]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,7,10,12],[2,3,8,10,11,13],[2,4,5,9,10,13],[2,4,7,11,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,8,9,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,9,10,11],[4,5,7,8,10,11]];
G[3842]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3843: autom. group order 2, simple
B[3843]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,7,8,13],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,11,13],[3,4,6,10,11,12],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[3843]:=Group([(2,12)(3,13)(4,8)(7,10)]);
# Design 3844: autom. group order 2, simple
B[3844]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[3844]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3845: autom. group order 2, simple, derived
B[3845]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,7,8,11,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,7,8,11,12],[4,5,6,9,10,13],[4,5,7,9,11,12]];
G[3845]:=Group([(2,12)(3,13)(4,8)(7,10)]);
# Design 3846: autom. group order 2, simple
B[3846]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,7,8,11,13],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,10,11,13],[4,5,7,9,11,12]];
G[3846]:=Group([(2,12)(3,13)(4,8)(7,10)]);
# Design 3847: autom. group order 2, simple, derived
B[3847]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,7,8,9,11],[1,5,6,8,9,12],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,9,10,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,8,13],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,5,8,9,10,13]];
G[3847]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3848: autom. group order 2, simple, derived
B[3848]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,8,9,11,12]];
G[3848]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3849: autom. group order 2, simple, derived
B[3849]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,5,9,10,13],[2,4,7,10,11,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,11,13],[4,5,8,9,11,12]];
G[3849]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3850: autom. group order 2, simple, derived
B[3850]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,9,13],[1,4,6,7,10,13],[1,4,7,9,11,12],[1,5,6,8,9,12],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,9,10,11],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,7,12,13],[3,5,7,8,9,11],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[3850]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3851: autom. group order 2, simple, derived
B[3851]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,7,8,10,11],[1,5,6,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,8,9,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,9,12,13],[4,5,7,8,11,13]];
G[3851]:=Group([(1,12)(2,11)(5,10)(7,9)]);
# Design 3852: autom. group order 2, simple, derived
B[3852]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,6,8,10,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,7,8,9,11],[3,4,6,7,8,10],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13],[4,5,7,9,12,13]];
G[3852]:=Group([(1,11)(2,12)(4,8)]);
# Design 3853: autom. group order 2, simple, derived
B[3853]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,6,8,10,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[3853]:=Group([(1,11)(2,12)(4,8)]);
# Design 3854: autom. group order 2, simple, derived
B[3854]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,6,7,12,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,9,10,11],[4,5,7,8,9,10]];
G[3854]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3855: autom. group order 2, simple, derived
B[3855]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,5,9,10,13],[2,4,8,11,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,9,10,11],[4,5,7,8,10,11]];
G[3855]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3856: autom. group order 2, simple
B[3856]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,10,11,13],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,7,8,11,13],[3,4,6,7,12,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[3856]:=Group([(2,12)(3,13)(4,8)(7,10)]);
# Design 3857: autom. group order 2, simple, derived
B[3857]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,8,9,12],[1,4,6,7,8,10],[1,4,7,10,11,13],[1,5,6,9,10,11],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,9,10,11],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,7,8,11,13]];
G[3857]:=Group([(1,12)(2,11)(5,10)(7,9)]);
# Design 3858: autom. group order 2, simple, derived
B[3858]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,8,9,10,11],[4,5,6,8,9,13],[4,5,7,9,11,12]];
G[3858]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3859: autom. group order 2, simple, derived
B[3859]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,8,12],[3,5,8,9,10,11],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[3859]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3860: autom. group order 2, simple
B[3860]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,10,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,8,9,11,13]];
G[3860]:=Group([(2,13)(3,12)(4,10)(7,8)]);
# Design 3861: autom. group order 2, simple, derived
B[3861]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,11,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,8,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,9,10,11,12]];
G[3861]:=Group([(2,12)(3,13)(4,8)(7,10)]);
# Design 3862: autom. group order 2, simple
B[3862]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,7,8,10],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,9,10,11,12]];
G[3862]:=Group([(2,12)(3,13)(4,8)(7,10)]);
# Design 3863: autom. group order 2, simple, derived
B[3863]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,7,9,11,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,6,7,11,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,7,8,11,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,9,12,13],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[3863]:=Group([(1,11)(2,12)(5,10)(7,9)]);
# Design 3864: autom. group order 2, simple, derived
B[3864]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,7,9,11,13],[1,4,6,7,12,13],[1,4,8,10,11,13],[1,5,6,7,9,10],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,8,9,11],[2,5,7,10,11,12],[2,6,7,10,11,13],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[3864]:=Group([(1,9)(2,10)(5,12)(7,11)]);
# Design 3865: autom. group order 2, simple
B[3865]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,10,11],[1,3,7,9,12,13],[1,4,6,7,8,9],[1,4,9,10,12,13],[1,5,6,7,11,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,11,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[4,5,6,9,11,12],[4,5,7,8,10,12]];
G[3865]:=Group([(1,9)(3,10)(4,7)(5,11)(12,13)]);
# Design 3866: autom. group order 2, simple
B[3866]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,10,11],[1,3,7,9,12,13],[1,4,6,7,8,9],[1,4,9,10,12,13],[1,5,6,7,11,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,5,8,10,12],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,9,11,12],[4,5,7,8,10,13]];
G[3866]:=Group([(1,9)(3,10)(4,7)(5,11)(12,13)]);
# Design 3867: autom. group order 2, simple, derived
B[3867]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,7,11,12,13],[1,4,6,7,8,13],[1,4,9,10,11,12],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[3867]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3868: autom. group order 2, simple, derived
B[3868]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,6,7,8,9],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,5,8,9,10,13]];
G[3868]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3869: autom. group order 2, simple, derived
B[3869]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,6,7,8,13],[1,4,9,10,11,12],[1,5,6,7,9,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,6,8,9,10],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[3869]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3870: autom. group order 2, simple, derived
B[3870]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,9,13],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,6,7,9,12],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,10],[2,6,7,9,11,13],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[3870]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3871: autom. group order 2, simple
B[3871]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,8,9,13],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,6,7,9,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,6,8,9,10],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,5,6,10,12,13],[3,5,7,9,10,11],[4,5,6,7,8,11],[4,5,8,9,12,13]];
G[3871]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3872: autom. group order 2, simple, derived
B[3872]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,8,10,13],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,6,9,10,13],[1,5,7,8,12,13],[1,6,7,9,11,12],[2,3,6,7,9,13],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,7,9,10,11],[4,5,6,8,10,13],[4,5,7,8,9,11]];
G[3872]:=Group([(1,8)(2,9)(5,12)(7,13)]);
# Design 3873: autom. group order 2, simple, derived
B[3873]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,11,13],[1,4,6,7,9,12],[1,4,8,10,12,13],[1,5,6,10,12,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,8,9,12,13],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[3873]:=Group([(1,9)(2,10)(5,11)(7,12)]);
# Design 3874: autom. group order 2, simple, derived
B[3874]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,10,11],[1,4,8,9,11,13],[1,5,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,6,7,9,11,13],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,9,10,11,12],[3,5,6,7,8,9],[3,5,8,10,11,13],[4,5,6,8,12,13],[4,5,7,8,9,10]];
G[3874]:=Group([(1,10)(2,9)(5,12)(7,11)]);
# Design 3875: autom. group order 2, simple, derived
B[3875]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,13],[1,3,7,8,11,13],[1,4,6,7,9,12],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,5,7,9,11,12],[1,6,7,10,11,13],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,8,9,12,13],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[3875]:=Group([(1,9)(2,10)(5,11)(7,12)]);
# Design 3876: autom. group order 2, simple
B[3876]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,10,11],[1,3,7,9,12,13],[1,4,6,7,8,9],[1,4,9,10,12,13],[1,5,6,10,11,12],[1,5,7,8,11,13],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,9,11,13],[3,5,7,8,10,12],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[3876]:=Group([(1,9)(3,10)(4,7)(5,11)(12,13)]);
# Design 3877: autom. group order 2, simple
B[3877]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,10,11],[1,3,7,9,12,13],[1,4,6,7,8,9],[1,4,9,10,12,13],[1,5,6,10,11,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,5,8,10,12],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,10,13],[4,5,8,9,11,12]];
G[3877]:=Group([(1,9)(3,10)(4,7)(5,11)(12,13)]);
# Design 3878: autom. group order 2, simple
B[3878]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,10,11,13],[1,4,6,7,12,13],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,7,8,10],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[3878]:=Group([(1,9)(3,10)(4,7)(5,12)(11,13)]);
# Design 3879: autom. group order 2, simple, derived
B[3879]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,9,13],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,6,8,9,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,9,10,11],[3,4,8,11,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[3879]:=Group([(1,6)(3,11)(4,13)(5,9)]);
# Design 3880: autom. group order 2, simple
B[3880]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,8,9,13],[1,3,7,10,11,13],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,9,11,12],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,6,7,8,10],[3,4,6,9,10,11],[3,4,8,11,12,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[3880]:=Group([(1,9)(3,8)(4,7)(5,13)(11,12)]);
# Design 3881: autom. group order 2, simple
B[3881]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,8,9,13],[1,3,7,10,11,13],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,6,8,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,9,11,12],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,8,10],[3,4,6,9,10,12],[3,4,8,11,12,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[3881]:=Group([(1,9)(3,8)(4,7)(5,13)(11,12)]);
# Design 3882: autom. group order 2, simple
B[3882]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,10,13],[1,3,7,9,12,13],[1,4,6,7,9,10],[1,4,10,11,12,13],[1,5,6,8,11,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[2,3,6,8,11,12],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,6,7,11,13],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[3882]:=Group([(1,10)(3,8)(4,7)(5,13)(11,12)]);
# Design 3883: autom. group order 2, simple
B[3883]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,8,10,13],[1,3,7,9,12,13],[1,4,6,7,9,10],[1,4,10,11,12,13],[1,5,6,8,12,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,8,11,12],[2,3,7,10,11,12],[2,4,5,9,11,13],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[3883]:=Group([(1,10)(3,8)(4,7)(5,13)(11,12)]);
# Design 3884: autom. group order 2, simple, derived
B[3884]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,8,10,11],[1,4,6,7,10,12],[1,4,8,9,10,13],[1,5,6,10,11,13],[1,5,7,9,12,13],[1,6,7,8,12,13],[2,3,6,10,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,5,6,7,9,10],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,9,10,11,12]];
G[3884]:=Group([(1,10)(4,13)(5,12)(7,11)]);
# Design 3885: autom. group order 2, simple, derived
B[3885]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,7,8,11,13],[1,4,6,7,9,12],[1,4,8,9,12,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,7,8,10,13],[2,5,6,7,8,9],[2,5,7,9,11,12],[2,6,7,10,12,13],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,8,9,10,12]];
G[3885]:=Group([(1,9)(2,10)(5,11)]);
# Design 3886: autom. group order 2, simple
B[3886]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,13],[1,5,6,10,12,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,8,10,13],[4,5,8,9,11,12]];
G[3886]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3887: autom. group order 2, simple
B[3887]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,7,10,11],[1,4,8,10,11,13],[1,5,6,10,12,13],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,9,11,13],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,6,7,8,12],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,8,10,13],[4,5,8,9,11,12]];
G[3887]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3888: autom. group order 2, simple
B[3888]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,10,11,13],[1,4,7,10,11,12],[1,5,6,7,9,10],[1,5,8,9,12,13],[1,6,7,8,10,13],[2,3,6,7,12,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,7,9,11,13]];
G[3888]:=Group([(1,11)(2,10)(4,12)(7,8)(9,13)]);
# Design 3889: autom. group order 2, simple
B[3889]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,6,7,10,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,7,9,11,13]];
G[3889]:=Group([(1,11)(2,10)(4,12)(7,8)(9,13)]);
# Design 3890: autom. group order 2, simple
B[3890]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,10,11,13],[1,4,6,9,11,12],[1,4,7,8,12,13],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,7,8,10],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,10,12,13],[4,5,7,8,9,11]];
G[3890]:=Group([(1,9)(3,10)(4,7)(5,12)(11,13)]);
# Design 3891: autom. group order 2, simple
B[3891]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,10,11,13],[1,4,6,9,12,13],[1,4,7,8,12,13],[1,5,6,7,9,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,7,8,10],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[3891]:=Group([(1,9)(3,10)(4,7)(5,12)(11,13)]);
# Design 3892: autom. group order 2, simple, derived
B[3892]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,9,13],[1,4,7,9,11,13],[1,5,6,7,9,10],[1,5,8,10,11,12],[1,6,7,10,12,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,8,12,13],[4,5,7,8,9,10]];
G[3892]:=Group([(1,9)(2,10)(5,12)(7,11)]);
# Design 3893: autom. group order 2, simple, derived
B[3893]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,7,9,12,13],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,6,7,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,8,9,12],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,7,12,13],[4,5,8,9,11,13]];
G[3893]:=Group([(1,12)(2,11)(5,10)(7,9)]);
# Design 3894: autom. group order 2, simple, derived
B[3894]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,9,12,13],[1,3,7,9,11,13],[1,4,6,8,11,13],[1,4,7,8,10,13],[1,5,6,7,11,12],[1,5,8,9,10,12],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,7,9,12,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[3894]:=Group([(1,11)(2,12)(5,10)(7,9)]);
# Design 3895: autom. group order 2, simple, derived
B[3895]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,8,9,12],[1,4,6,8,9,10],[1,4,7,10,11,13],[1,5,6,7,10,11],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,9,10,12],[2,5,7,9,10,11],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,7,8,12],[4,5,8,9,11,13]];
G[3895]:=Group([(1,12)(2,11)(5,10)(7,9)]);
# Design 3896: autom. group order 2, simple
B[3896]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,10,12],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,10,11,12,13],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[3896]:=Group([(1,8)(3,10)(4,7)(5,12)]);
# Design 3897: autom. group order 2, simple, derived
B[3897]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,8,9,13],[1,3,7,10,11,13],[1,4,6,9,12,13],[1,4,7,8,10,11],[1,5,6,7,9,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,9,10,12],[2,4,7,8,9,13],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,6,8,10,12],[3,4,6,8,11,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,7,10,13],[4,5,8,9,10,11]];
G[3897]:=Group([(1,8)(3,9)(4,7)(5,13)]);
# Design 3898: autom. group order 2, simple
B[3898]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,8,12,13],[1,4,6,10,11,12],[1,4,7,8,9,13],[1,5,6,7,10,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,8,9,10,13]];
G[3898]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3899: autom. group order 2, simple, derived
B[3899]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,10,11],[1,3,7,8,11,13],[1,4,6,10,11,12],[1,4,7,9,12,13],[1,5,6,7,10,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,6,8,9,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[3899]:=Group([(1,9)(3,10)(4,7)(5,11)]);
# Design 3900: autom. group order 2, simple, derived
B[3900]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,11,12,13],[1,4,6,9,10,11],[1,4,7,10,11,13],[1,5,6,7,8,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,11,12,13],[2,3,7,8,10,11],[2,4,5,9,12,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,8,11,12],[3,5,9,10,11,13],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[3900]:=Group([(1,13)(2,9)(3,4)(5,8)(10,12)]);
# Design 3901: autom. group order 2, simple, derived
B[3901]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,6,9,10,13],[1,4,7,8,11,13],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,8,10,12,13],[2,5,6,7,8,11],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,6,7,8,10],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,5,8,10,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[3901]:=Group([(1,11)(2,12)(5,9)]);
# Design 3902: autom. group order 2, simple, derived
B[3902]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,6,7,8,12],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,6,7,8,10],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,5,8,10,11,12],[4,5,6,9,10,13],[4,5,7,8,11,13]];
G[3902]:=Group([(1,11)(2,12)(5,9)]);
# Design 3903: autom. group order 2, simple, derived
B[3903]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,10,11,12],[1,3,7,8,12,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,7,9,13],[1,5,8,9,11,13],[1,6,7,9,10,11],[2,3,6,11,12,13],[2,3,7,9,11,12],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,9,11,12],[4,5,7,8,10,12]];
G[3903]:=Group([(1,13)(2,10)(3,4)(5,9)(8,11)]);
# Design 3904: autom. group order 2, simple, derived
B[3904]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,9,10,11],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,6,7,9,13],[1,5,9,10,12,13],[1,6,7,8,12,13],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,6,9,10,11],[4,5,8,9,11,12]];
G[3904]:=Group([(1,9)(2,8)(5,13)]);
# Design 3905: autom. group order 2, simple, derived
B[3905]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,6,7,9,13],[1,5,9,10,12,13],[1,6,7,8,12,13],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,7,8,9,13],[3,5,6,8,10,12],[3,5,7,9,10,11],[4,5,6,10,11,13],[4,5,8,9,11,12]];
G[3905]:=Group([(1,9)(2,8)(5,13)]);
# Design 3906: autom. group order 2, simple, derived
B[3906]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,7,8,9,13],[1,4,6,10,11,13],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,11,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,9,11,13],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,6,7,8,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,9,12,13],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[3906]:=Group([(1,10)(2,9)(3,8)(7,12)]);
# Design 3907: autom. group order 2, simple
B[3907]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,7,9,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,7,10,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,5,6,8,9,11],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,5,8,9,10,12]];
G[3907]:=Group([(1,9)(2,12)(3,10)(7,8)(11,13)]);
# Design 3908: autom. group order 2, simple
B[3908]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,12,13],[1,3,7,9,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,7,10,11],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,10,13],[3,4,6,8,10,11],[3,4,7,8,11,12],[3,5,6,8,9,13],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,5,8,9,10,12]];
G[3908]:=Group([(1,9)(2,12)(3,10)(7,8)(11,13)]);
# Design 3909: autom. group order 2, simple
B[3909]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,10,11,13],[1,4,7,9,10,11],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,6,7,8,12],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,8,10,13],[4,5,8,9,11,12]];
G[3909]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3910: autom. group order 2, simple
B[3910]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,10,11,13],[1,4,7,8,10,11],[1,5,6,7,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,9,11,13],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,8,10,13],[4,5,8,9,11,12]];
G[3910]:=Group([(1,10)(4,12)(5,11)(7,13)(8,9)]);
# Design 3911: autom. group order 2, simple, derived
B[3911]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,8,9,11],[2,4,5,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[3911]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3912: autom. group order 2, simple, derived
B[3912]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,7,8,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,8,11,12],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,7,12,13],[4,5,7,8,9,11]];
G[3912]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3913: autom. group order 2, simple, derived
B[3913]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,9,10,11],[2,4,5,9,12,13],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[3913]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3914: autom. group order 2, simple, derived
B[3914]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,9,10,11],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,9,10,12,13],[2,6,7,8,10,12],[3,4,6,9,11,12],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,5,6,8,9,10],[3,5,8,11,12,13],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[3914]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3915: autom. group order 2, simple
B[3915]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,8,9,11],[2,4,5,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[4,5,6,7,8,13],[4,5,7,8,9,11]];
G[3915]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3916: autom. group order 2, simple, derived
B[3916]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,8,10,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,8,9,11],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,8,11,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,7,8,9,11]];
G[3916]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3917: autom. group order 2, simple
B[3917]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,8,9,11],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,9,10,12,13],[2,6,7,8,10,12],[3,4,6,9,11,12],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,9,10],[3,5,8,11,12,13],[4,5,6,7,8,13],[4,5,7,8,9,11]];
G[3917]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3918: autom. group order 2, simple, derived
B[3918]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,8,10,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,6,9,10,13],[1,5,7,8,12,13],[1,6,7,9,11,12],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,9,10,12],[2,4,8,10,11,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,9,10,11,13],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[3918]:=Group([(1,8)(2,9)(5,12)(7,13)]);
# Design 3919: autom. group order 2, simple, derived
B[3919]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,8,11,12],[1,3,7,8,10,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,6,7,9,10,12],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,9,10,12],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,9,10,11,13],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[3919]:=Group([(1,8)(2,9)(5,12)(7,13)]);
# Design 3920: autom. group order 2, simple, derived
B[3920]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,7,8,9,11],[2,4,5,9,12,13],[2,4,10,11,12,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,11,12],[3,4,8,9,10,13],[3,5,6,9,10,12],[3,5,8,11,12,13],[4,5,6,7,8,13],[4,5,7,8,9,11]];
G[3920]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3921: autom. group order 2, simple, derived
B[3921]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,9,10,11,12],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,8,9,10],[3,5,8,11,12,13],[4,5,6,10,12,13],[4,5,7,9,10,11]];
G[3921]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3922: autom. group order 2, simple
B[3922]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,8,12,13],[4,5,7,9,11,12]];
G[3922]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3923: autom. group order 2, simple, derived
B[3923]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,7,8,13],[2,3,8,9,11,12],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,12],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,8,12,13],[4,5,7,8,9,11]];
G[3923]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3924: autom. group order 2, simple, derived
B[3924]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,9,10,11,12],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,8,9,10],[3,5,8,11,12,13],[4,5,6,10,12,13],[4,5,7,8,9,11]];
G[3924]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3925: autom. group order 2, simple, derived
B[3925]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,8,10,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,8,12,13],[4,5,7,8,9,11]];
G[3925]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3926: autom. group order 2, simple
B[3926]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,7,10,11,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,8,10,13],[1,5,7,8,9,10],[1,6,7,9,11,13],[2,3,6,9,10,12],[2,3,7,8,11,13],[2,4,5,10,11,13],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,10,11,12,13],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[3926]:=Group([(2,6)(3,13)(4,11)(5,9)(8,10)]);
# Design 3927: autom. group order 2, simple
B[3927]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,7,8,10,13],[1,4,6,10,11,12],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,5,7,8,11,12],[1,6,7,9,11,13],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,9,10,12,13]];
G[3927]:=Group([(2,6)(3,13)(4,11)(5,9)(8,10)]);
# Design 3928: autom. group order 2, simple
B[3928]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,7,8,11,12],[1,4,6,10,11,12],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,7,8,9,10],[1,6,7,9,11,13],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,8,11,12,13],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[3928]:=Group([(2,6)(3,13)(4,11)(5,9)(8,10)]);
# Design 3929: autom. group order 2, simple, derived
B[3929]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,8,12,13],[1,4,6,10,11,12],[1,4,7,8,9,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,8,9,10,13]];
G[3929]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3930: autom. group order 2, simple, derived
B[3930]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,10,12],[1,3,7,8,12,13],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,6,9,11,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,11],[3,4,6,8,9,11],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,8,9,10,13]];
G[3930]:=Group([(1,9)(3,10)(4,7)(5,12)]);
# Design 3931: autom. group order 2, simple
B[3931]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,7,8,10,13],[1,4,6,10,11,12],[1,4,7,8,9,12],[1,5,6,8,10,13],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,9,10,11,12],[4,5,6,7,9,10],[4,5,8,9,12,13]];
G[3931]:=Group([(2,6)(3,13)(4,11)(5,9)(8,10)]);
# Design 3932: autom. group order 2, simple
B[3932]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,9,12,13],[1,4,6,10,11,13],[1,4,7,10,11,12],[1,5,6,8,9,10],[1,5,7,8,12,13],[1,6,7,8,10,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,7,8,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,8,10,11,12],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[3932]:=Group([(1,11)(2,10)(4,12)(7,8)(9,13)]);
# Design 3933: autom. group order 2, simple
B[3933]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,9,12,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,6,8,10,13],[1,5,7,8,12,13],[1,6,7,8,9,10],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,7,8,12],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,8,10,11,12],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[3933]:=Group([(1,11)(2,10)(4,12)(7,8)(9,13)]);
# Design 3934: autom. group order 2, simple, derived
B[3934]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,9,10,12],[1,4,7,8,12,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,7,8,9,11],[3,4,6,7,8,10],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,11,13],[4,5,9,10,12,13]];
G[3934]:=Group([(1,11)(2,12)(4,8)(7,10)]);
# Design 3935: autom. group order 2, simple, derived
B[3935]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,7,9,11,12],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,9,10,12],[3,5,8,10,11,13],[4,5,6,7,12,13],[4,5,8,9,11,12]];
G[3935]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3936: autom. group order 2, simple
B[3936]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,10,11,13],[1,4,7,10,11,12],[1,5,6,8,9,10],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,7,9,10],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,8,9,11,13]];
G[3936]:=Group([(1,11)(2,10)(4,12)(7,8)(9,13)]);
# Design 3937: autom. group order 2, simple
B[3937]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,9,10,11],[1,4,7,10,11,12],[1,5,6,8,10,13],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,7,10,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,8,9,11,13]];
G[3937]:=Group([(1,11)(2,10)(4,12)(7,8)(9,13)]);
# Design 3938: autom. group order 2, simple, derived
B[3938]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,7,9,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,8,10,11],[3,4,6,7,8,12],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,5,6,8,12,13],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[3938]:=Group([(1,8)(3,10)(4,11)(5,7)]);
# Design 3939: autom. group order 2, simple, derived
B[3939]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,7,9,11,13],[1,4,6,8,11,13],[1,4,7,9,10,12],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,8,10,11],[3,4,6,7,8,12],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,5,6,8,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,8,9,10,13]];
G[3939]:=Group([(1,8)(3,10)(4,11)(5,7)]);
# Design 3940: autom. group order 2, simple, derived
B[3940]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,5,9,10,13],[2,4,7,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,10,12,13],[4,5,8,9,11,12]];
G[3940]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3941: autom. group order 2, simple, derived
B[3941]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,5,9,10,13],[2,4,7,8,11,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,7,11,12],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,5,6,7,8,9],[3,5,8,10,11,13],[4,5,6,10,12,13],[4,5,8,9,11,12]];
G[3941]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 3942: autom. group order 2, simple, derived
B[3942]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,7,8,9,13],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,10,11],[1,5,7,8,10,12],[1,6,7,10,12,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,8,9,13],[4,5,8,9,10,11]];
G[3942]:=Group([(1,9)(2,10)(5,12)]);
# Design 3943: autom. group order 2, simple
B[3943]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,7,9,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,10,13],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,10,13],[3,4,6,8,10,11],[3,4,7,8,11,12],[3,5,6,7,9,11],[3,5,8,9,11,13],[4,5,6,9,10,12],[4,5,8,9,10,12]];
G[3943]:=Group([(1,9)(2,12)(3,10)(7,8)(11,13)]);
# Design 3944: autom. group order 2, simple
B[3944]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,6,10,12,13],[1,3,5,8,12,13],[1,3,7,9,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,10,11],[1,5,7,10,11,13],[1,6,7,8,11,12],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,6,8,10,13],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,8,9,11,13],[4,5,6,9,10,12],[4,5,8,9,10,12]];
G[3944]:=Group([(1,9)(2,12)(3,10)(7,8)(11,13)]);
# Design 3945: autom. group order 2, simple
B[3945]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,12],[1,3,7,9,10,13],[1,4,6,10,11,13],[1,4,7,9,11,13],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,8,10,12],[3,5,6,7,8,13],[3,5,9,11,12,13],[4,5,6,8,9,10],[4,5,8,9,10,11]];
G[3945]:=Group([(1,8)(2,9)(3,10)(4,5)(7,11)]);
# Design 3946: autom. group order 2, simple, derived
B[3946]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,9,10,12,13],[1,4,6,7,8,10],[1,4,7,9,10,11],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,9,10,13],[4,5,7,9,11,12]];
G[3946]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3947: autom. group order 2, simple
B[3947]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,11,12],[1,3,5,9,11,13],[1,3,8,10,12,13],[1,4,6,7,8,10],[1,4,7,9,10,11],[1,5,6,7,12,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,9,10,13],[4,5,7,8,11,12]];
G[3947]:=Group([(1,11)(3,7)(4,13)(5,10)]);
# Design 3948: autom. group order 2, simple
B[3948]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,9,10,12,13],[1,4,6,7,8,10],[1,4,7,10,11,13],[1,5,6,7,9,12],[1,5,8,9,10,11],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,8,11,12],[3,5,7,8,10,13],[4,5,6,9,10,12],[4,5,7,9,11,13]];
G[3948]:=Group([(1,11)(3,7)(4,12)(5,10)]);
# Design 3949: autom. group order 2, simple
B[3949]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,8,10,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,6,7,8,10],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,9,10,11],[4,5,7,8,11,12]];
G[3949]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3950: autom. group order 2, simple
B[3950]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,8,10,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,6,7,8,10],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,10,12,13],[3,5,7,8,9,13],[4,5,6,9,10,11],[4,5,7,8,11,12]];
G[3950]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3951: autom. group order 2, simple, derived
B[3951]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,8,10,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,10,12,13],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[3951]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3952: autom. group order 2, simple, derived
B[3952]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,11,12,13],[1,2,6,8,9,11],[1,3,5,10,11,12],[1,3,8,10,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,8,10,12,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,10,12,13],[3,5,7,8,9,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[3952]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3953: autom. group order 2, simple
B[3953]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,8,10,11,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,8,10,13],[3,4,6,7,8,10],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3953]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3954: autom. group order 2, simple, derived
B[3954]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,8,10,11,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,5,7,8,12,13]];
G[3954]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3955: autom. group order 2, simple, derived
B[3955]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,8,10,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,11,12,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,8,10,12],[3,5,7,9,11,13],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[3955]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 3956: autom. group order 2, simple, derived
B[3956]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,8,10,12,13],[1,4,6,7,8,9],[1,4,7,9,12,13],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,9,12,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,8,12,13]];
G[3956]:=Group([(1,11)(2,12)(5,9)(7,10)]);
# Design 3957: autom. group order 2, simple, derived
B[3957]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,8,10,12,13],[1,4,6,7,8,9],[1,4,7,10,11,13],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,9,12,13],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,8,12,13]];
G[3957]:=Group([(1,11)(2,12)(5,9)(7,10)]);
# Design 3958: autom. group order 2, simple, derived
B[3958]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,8,10,12,13],[1,4,6,7,12,13],[1,4,7,8,9,11],[1,5,6,9,10,12],[1,5,7,8,9,13],[1,6,7,10,11,13],[2,3,6,9,11,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,9,11,12,13]];
G[3958]:=Group([(1,11)(2,12)(3,5)(4,8)(10,13)]);
# Design 3959: autom. group order 2, simple, derived
B[3959]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,11,12,13],[1,3,5,9,10,11],[1,3,8,9,12,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,6,10,12,13],[1,5,7,8,10,13],[1,6,7,9,10,11],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,6,7,10,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,8,9,13],[4,5,9,10,11,12]];
G[3959]:=Group([(1,11)(2,12)(3,5)(4,8)(9,10)]);
# Design 3960: autom. group order 2, simple
B[3960]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,11],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,6,7,9,13],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,8,9,11,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,7,8,12,13],[3,4,6,7,8,9],[3,4,6,8,11,12],[3,4,7,10,11,13],[3,5,6,9,11,13],[3,5,7,8,10,11],[4,5,6,9,10,12],[4,5,8,9,10,12]];
G[3960]:=Group([(1,12)(2,10)(3,9)(7,8)(11,13)]);
# Design 3961: autom. group order 2, simple
B[3961]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,10,13],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,7,9,12],[1,4,7,10,11,13],[1,5,6,8,10,12],[1,5,7,9,11,12],[1,6,7,8,10,13],[2,3,6,10,11,12],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,8,9],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,6,9,12,13],[3,5,7,8,10,12],[4,5,6,9,10,11],[4,5,8,9,10,11]];
G[3961]:=Group([(1,11)(2,10)(3,9)(7,8)(12,13)]);
# Design 3962: autom. group order 2, simple
B[3962]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,10,11,12],[1,3,9,10,11,13],[1,4,6,7,10,13],[1,4,7,9,11,13],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,5,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,9,12,13],[4,5,6,8,9,10],[4,5,8,9,10,11]];
G[3962]:=Group([(1,8)(2,9)(3,10)(4,5)(7,11)]);
# Design 3963: autom. group order 2, simple
B[3963]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,7,9,12],[1,4,6,7,10,13],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,10,11,12,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,7,8,10,11],[3,4,7,8,11,13],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,8,12,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3963]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3964: autom. group order 2, simple
B[3964]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,7,8,9,11],[3,4,7,8,10,13],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[3964]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3965: autom. group order 2, simple, derived
B[3965]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,10,11,13],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,7,8,9,11],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,8,10,11],[4,5,7,9,12,13]];
G[3965]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3966: autom. group order 2, simple
B[3966]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,11,12,13],[1,3,6,7,9,11],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,8,10,11],[2,4,5,9,10,13],[2,4,7,11,12,13],[2,5,6,7,8,13],[2,5,6,8,9,12],[2,6,7,9,11,12],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,8,9,12,13],[3,5,6,9,11,13],[3,5,8,10,11,12],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[3966]:=Group([(1,13)(2,9)(3,4)(5,8)(6,12)]);
# Design 3967: autom. group order 2, simple, derived
B[3967]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,8,10,13],[2,4,5,9,10,12],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,8,9,11,12],[4,5,6,8,10,13],[4,5,7,8,9,13]];
G[3967]:=Group([(1,12)(2,11)(4,8)(7,9)]);
# Design 3968: autom. group order 2, simple
B[3968]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,11,12,13],[1,3,6,9,10,12],[1,4,6,7,9,11],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,7,8,10,13],[2,3,7,8,10,11],[2,3,7,11,12,13],[2,4,5,9,10,13],[2,4,6,10,12,13],[2,5,6,7,8,13],[2,5,6,8,9,12],[2,6,7,9,11,12],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,6,9,11,13],[4,5,7,9,10,11],[4,5,8,10,11,12]];
G[3968]:=Group([(1,13)(2,9)(3,4)(5,8)(6,12)]);
# Design 3969: autom. group order 2, simple
B[3969]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,11,12,13],[1,3,6,7,9,13],[1,4,6,10,11,13],[1,4,7,8,9,11],[1,5,6,8,10,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,3,6,10,11,12],[2,4,5,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,7,8,12,13],[3,4,8,10,12,13],[3,5,7,9,11,12],[3,5,8,9,10,11],[4,5,6,8,9,11],[4,5,6,9,12,13]];
G[3969]:=Group([(1,12)(2,13)(3,4)(5,8)(6,10)]);
# Design 3970: autom. group order 2, simple, derived
B[3970]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,9,12,13],[1,3,6,10,11,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,9,10,11,12],[2,6,7,9,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,8,12,13],[3,5,7,9,10,11],[3,5,8,11,12,13],[4,5,6,8,9,13],[4,5,6,8,10,11]];
G[3970]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3971: autom. group order 2, simple
B[3971]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,11,12,13],[1,3,6,9,10,11],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,12,13],[2,3,6,8,10,13],[2,4,5,9,10,12],[2,4,7,9,10,13],[2,5,6,7,8,11],[2,5,10,11,12,13],[2,6,7,9,11,12],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,8,11,13],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,5,6,8,10,13]];
G[3971]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3972: autom. group order 2, simple, derived
B[3972]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,7,9,11],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,9,10,12],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,10,11,12,13],[2,6,7,9,11,12],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,8,11,13],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,5,6,8,10,13]];
G[3972]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3973: autom. group order 2, simple, derived
B[3973]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,6,7,9,11],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,7,9,12],[2,3,6,8,11,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,9,10,11,12],[3,5,7,8,11,13],[3,5,8,9,12,13],[4,5,6,8,9,10],[4,5,6,8,11,12]];
G[3973]:=Group([(1,10)(2,9)(5,11)(6,12)]);
# Design 3974: autom. group order 2, simple
B[3974]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,9,12,13],[1,3,6,10,11,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,6,7,8,9],[3,4,7,8,12,13],[3,4,10,11,12,13],[3,5,7,9,10,11],[3,5,8,9,11,12],[4,5,6,8,9,13],[4,5,6,8,10,11]];
G[3974]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3975: autom. group order 2, simple, derived
B[3975]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,9,12,13],[1,3,6,10,11,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,6,7,8,9],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,7,9,10,11],[3,5,8,11,12,13],[4,5,6,8,9,13],[4,5,6,8,10,11]];
G[3975]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3976: autom. group order 2, simple, derived
B[3976]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,9,12,13],[1,3,6,10,11,13],[1,4,6,11,12,13],[1,4,7,9,10,13],[1,5,6,7,9,11],[1,5,7,8,10,12],[1,6,7,8,10,12],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,6,7,8,9],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,8,9,13],[4,5,6,8,10,11]];
G[3976]:=Group([(2,8)(3,10)(4,12)(5,7)]);
# Design 3977: autom. group order 2, simple, derived
B[3977]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,10,11],[1,3,6,7,11,13],[1,4,6,7,9,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,10,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[3977]:=Group([(1,11)(2,12)(4,8)]);
# Design 3978: autom. group order 2, simple, derived
B[3978]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,10,11],[1,3,6,7,11,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[3978]:=Group([(1,11)(2,12)(4,8)]);
# Design 3979: autom. group order 2, simple, derived
B[3979]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,10,11],[1,3,6,7,11,13],[1,4,6,7,9,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,10,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[3979]:=Group([(1,11)(2,12)(4,8)]);
# Design 3980: autom. group order 2, simple, derived
B[3980]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,10,11],[1,3,6,7,11,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[3980]:=Group([(1,11)(2,12)(4,8)]);
# Design 3981: autom. group order 2, simple, derived
B[3981]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,11,13],[1,3,6,7,12,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,6,7,10,11],[1,5,8,9,10,13],[1,6,7,8,9,12],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,9,10,12],[4,5,7,9,11,13]];
G[3981]:=Group([(1,11)(2,12)(4,8)(7,10)]);
# Design 3982: autom. group order 2, simple, derived
B[3982]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,7,8,11],[1,5,9,10,11,12],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,4,7,8,10,13],[3,5,6,8,11,13],[3,5,8,9,12,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3982]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3983: autom. group order 2, simple, derived
B[3983]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,7,9,12],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,6,7,8,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,8,9,11],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3983]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3984: autom. group order 2, simple, derived
B[3984]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,7,12,13],[1,4,6,8,9,12],[1,4,7,10,11,13],[1,5,6,7,8,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,11,12,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,8,9,11],[3,5,8,11,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3984]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3985: autom. group order 2, simple
B[3985]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,7,8,9],[1,5,9,10,11,12],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,8,10,13],[3,5,6,8,11,13],[3,5,8,9,12,13],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[3985]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3986: autom. group order 2, simple
B[3986]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,7,12,13],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,6,7,8,9],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,8,9,11],[3,5,8,11,12,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[3986]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3987: autom. group order 2, simple, derived
B[3987]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,12],[1,3,5,8,11,13],[1,3,6,7,8,12],[1,4,6,9,11,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,10,12,13],[1,6,7,8,9,10],[2,3,6,10,11,13],[2,3,7,9,11,13],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,5,6,8,9,13],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,4,8,10,12,13],[3,5,6,10,11,12],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[3987]:=Group([(6,7)(9,10)]);
# Design 3988: autom. group order 2, simple, derived
B[3988]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,12],[1,3,5,8,11,13],[1,3,6,7,8,12],[1,4,6,9,11,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,10,12,13],[1,6,7,8,9,10],[2,3,6,10,11,13],[2,3,7,9,11,13],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,4,8,10,12,13],[3,5,6,10,11,12],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,5,7,8,10,11]];
G[3988]:=Group([(6,7)(9,10)]);
# Design 3989: autom. group order 2, simple, derived
B[3989]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,12],[1,3,5,8,11,13],[1,3,6,7,8,12],[1,4,6,9,11,13],[1,4,7,10,11,13],[1,5,6,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,9,11,13],[2,3,7,10,11,13],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,4,8,10,12,13],[3,5,6,10,11,12],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,5,7,8,10,11]];
G[3989]:=Group([(6,7)(9,10)]);
# Design 3990: autom. group order 2, simple
B[3990]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,7,8,10,13],[3,4,9,10,12,13],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3990]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3991: autom. group order 2, simple, derived
B[3991]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,6,7,10,11,13],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,7,9,12,13]];
G[3991]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3992: autom. group order 2, simple, derived
B[3992]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,10,11,12],[1,5,7,8,9,11],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,8,9,12,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3992]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3993: autom. group order 2, simple
B[3993]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,7,9,12],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,6,10,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[3993]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3994: autom. group order 2, simple
B[3994]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,6,8,12,13],[1,4,7,9,10,11],[1,5,6,9,10,12],[1,5,7,8,9,13],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,7,8,10,13],[3,4,9,10,12,13],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[3994]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3995: autom. group order 2, simple, derived
B[3995]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,5,7,8,9,11],[1,6,7,10,11,13],[2,3,6,9,10,11],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,8,9,12,13],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[3995]:=Group([(1,8)(3,10)(4,12)(5,7)]);
# Design 3996: autom. group order 2, simple
B[3996]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,11,13],[1,3,6,7,12,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,6,8,9,10],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,7,8,11,13],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,9,11],[4,5,9,10,12,13]];
G[3996]:=Group([(1,11)(2,12)(4,8)(7,10)]);
# Design 3997: autom. group order 2, simple
B[3997]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,9,11,13],[1,3,6,7,12,13],[1,4,6,9,10,12],[1,4,7,8,10,11],[1,5,6,8,9,10],[1,5,7,8,12,13],[1,6,7,10,11,13],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,7,8,9,11],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,8,10,11,12],[4,5,6,7,9,11],[4,5,9,10,12,13]];
G[3997]:=Group([(1,11)(2,12)(4,8)(7,10)]);
# Design 3998: autom. group order 2, simple
B[3998]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,6,8,10,13],[1,4,6,7,9,13],[1,4,7,10,11,12],[1,5,6,7,10,12],[1,5,8,11,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,6,8,11,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[3998]:=Group([(1,10)(2,9)(3,8)(7,12)]);
# Design 3999: autom. group order 2, simple
B[3999]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,8,9,13],[1,3,6,10,12,13],[1,4,6,7,10,13],[1,4,7,9,11,12],[1,5,6,7,9,12],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,9,11,12],[2,3,7,8,10,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,8,11,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[3999]:=Group([(1,9)(2,10)(3,8)(7,12)]);
# Design 4000: autom. group order 2, simple
B[4000]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,6,10,12,13],[1,4,6,7,11,13],[1,4,7,8,9,13],[1,5,6,8,11,12],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,5,6,9,11,12],[2,5,7,9,11,13],[2,6,7,8,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,8,10,11,13],[4,5,6,8,10,13],[4,5,7,9,10,12]];
G[4000]:=Group([(1,13)(3,7)(4,12)(5,8)(10,11)]);
# Design 4001: autom. group order 2, simple
B[4001]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,6,11,12,13],[1,4,6,7,10,13],[1,4,7,8,9,13],[1,5,6,8,11,12],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,8,9,11],[2,5,6,9,10,12],[2,5,7,9,11,13],[2,6,7,8,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,8,10,11,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[4001]:=Group([(1,13)(3,7)(4,12)(5,8)(10,11)]);
# Design 4002: autom. group order 2, simple, derived
B[4002]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,10,11,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,7,11,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,8,10,12],[2,5,6,9,11,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,8,9],[3,5,8,10,11,12],[4,5,6,9,10,11],[4,5,7,8,12,13]];
G[4002]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 4003: autom. group order 2, simple, derived
B[4003]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,10,11,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,9,11,12],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,8,9,10],[4,5,7,8,12,13]];
G[4003]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 4004: autom. group order 2, simple
B[4004]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,11,12,13],[1,3,6,10,11,13],[1,4,6,7,9,13],[1,4,7,8,9,11],[1,5,6,8,10,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,3,7,9,10,12],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,7,8,11,13],[3,4,6,7,10,11],[3,4,7,8,12,13],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,6,9,12,13],[4,5,8,9,10,11]];
G[4004]:=Group([(1,12)(2,13)(3,4)(5,8)(6,10)]);
# Design 4005: autom. group order 2, simple
B[4005]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,6,8,10,11],[1,4,6,7,10,12],[1,4,7,8,11,13],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[4005]:=Group([(1,10)(2,9)(3,8)(7,12)]);
# Design 4006: autom. group order 2, simple, derived
B[4006]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,6,8,10,13],[1,4,6,7,10,12],[1,4,7,8,11,13],[1,5,6,9,11,12],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[4006]:=Group([(1,10)(2,9)(3,8)(7,12)]);
# Design 4007: autom. group order 2, simple, derived
B[4007]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,8,9,13],[1,3,6,10,12,13],[1,4,6,7,9,12],[1,4,7,8,11,13],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,9,11,12],[2,3,7,8,10,12],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[4007]:=Group([(1,9)(2,10)(3,8)(7,12)]);
# Design 4008: autom. group order 2, simple, derived
B[4008]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,8,9,13],[1,3,6,10,12,13],[1,4,6,7,10,13],[1,4,7,9,11,12],[1,5,6,8,11,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,9,11,12],[2,3,7,8,10,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,8,9,13],[3,4,6,8,11,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,7,9,11],[3,5,10,11,12,13],[4,5,6,8,9,10],[4,5,8,9,10,12]];
G[4008]:=Group([(1,9)(2,10)(3,8)(7,12)]);
# Design 4009: autom. group order 2, simple, derived
B[4009]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,10,11,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,7,8,12],[2,3,7,9,12,13],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,6,9,11,12],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,10],[4,5,7,8,12,13]];
G[4009]:=Group([(2,9)(3,10)(4,7)(5,12)]);
# Design 4010: autom. group order 2, simple
B[4010]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,9,11,12],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,6,7,8,9],[1,5,7,10,11,12],[1,6,7,10,11,13],[2,3,6,11,12,13],[2,3,7,9,10,11],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,5,7,8,11,13],[3,5,8,9,12,13],[4,5,6,9,11,12],[4,5,8,9,10,11]];
G[4010]:=Group([(1,8)(3,10)(4,12)(5,6)]);
# Design 4011: autom. group order 2, simple
B[4011]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,9,10,11],[1,4,7,8,12,13],[1,5,6,7,8,9],[1,5,7,10,11,12],[1,6,7,10,11,13],[2,3,6,11,12,13],[2,3,7,9,10,11],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,5,7,8,11,13],[3,5,8,9,11,12],[4,5,6,9,11,12],[4,5,8,9,10,13]];
G[4011]:=Group([(1,8)(3,10)(4,12)(5,6)]);
# Design 4012: autom. group order 2, simple, derived
B[4012]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,9,11,12],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,6,7,8,11],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,6,11,12,13],[2,3,7,9,10,11],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,7,8,11,13],[3,5,8,9,12,13],[4,5,6,9,11,12],[4,5,8,9,10,11]];
G[4012]:=Group([(1,8)(3,10)(4,12)(5,6)]);
# Design 4013: autom. group order 2, simple, derived
B[4013]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,9,12,13],[1,4,6,9,10,11],[1,4,7,8,12,13],[1,5,6,7,8,11],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,6,11,12,13],[2,3,7,9,10,11],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,9],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,7,8,11,13],[3,5,8,9,11,12],[4,5,6,9,11,12],[4,5,8,9,10,13]];
G[4013]:=Group([(1,8)(3,10)(4,12)(5,6)]);
# Design 4014: autom. group order 2, simple, derived
B[4014]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,7,8,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,9,10,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,7,8,9,11],[3,5,8,9,12,13],[4,5,6,9,11,12],[4,5,8,10,11,13]];
G[4014]:=Group([(1,8)(3,10)(4,12)(5,6)]);
# Design 4015: autom. group order 2, simple
B[4015]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,8,12,13],[1,5,6,7,8,9],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,9,10,13],[2,4,7,9,11,12],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,7,8,9,11],[3,5,8,9,12,13],[4,5,6,9,11,12],[4,5,8,10,11,13]];
G[4015]:=Group([(1,8)(3,10)(4,12)(5,6)]);
# Design 4016: autom. group order 2, simple
B[4016]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,6,8,11,13],[1,4,6,7,9,11],[1,4,7,8,10,13],[1,5,6,9,10,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,7,8,9,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,6,8,9,11],[2,6,7,9,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,7,8,9,10],[4,5,8,9,11,13]];
G[4016]:=Group([(1,11)(2,12)(5,10)(7,9)]);
# Design 4017: autom. group order 2, simple
B[4017]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,7,9,11],[1,4,7,8,10,13],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,9,13],[2,5,6,8,9,10],[2,6,7,10,11,12],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,9,10,11,13],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,7,8,9,11],[4,5,8,9,10,12]];
G[4017]:=Group([(2,13)(3,10)(4,7)(5,8)(9,11)]);
# Design 4018: autom. group order 2, simple, derived
B[4018]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,10,11,13],[1,3,6,8,9,13],[1,4,6,7,9,11],[1,4,7,8,12,13],[1,5,6,10,11,12],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,7,8,10,11],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,8,10,13],[2,5,6,7,9,12],[2,5,6,8,9,11],[2,6,7,10,11,13],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,7,8,9,10],[4,5,8,9,11,13]];
G[4018]:=Group([(1,9)(2,10)(5,12)(7,11)]);
# Design 4019: autom. group order 2, simple
B[4019]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,11,12,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,7,9,11],[1,4,7,8,10,13],[1,5,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,7,8,12,13],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,7,11,13],[2,5,6,8,9,10],[2,6,7,10,11,12],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,9,10,11,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,7,8,9,11],[4,5,8,10,11,12]];
G[4019]:=Group([(2,13)(3,10)(4,7)(5,8)(9,11)]);
# Design 4020: autom. group order 2, simple, derived
B[4020]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,9,10,13],[1,4,6,7,9,11],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,3,7,9,11,12],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,6,7,10,11,12],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,9,11,12,13],[4,5,7,8,9,10],[4,5,8,9,10,11]];
G[4020]:=Group([(1,9)(2,10)(3,8)(6,11)]);
# Design 4021: autom. group order 2, simple, derived
B[4021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4021]:=Group([(7,8)(9,10)(11,12)]);
# Design 4022: autom. group order 2, simple, derived
B[4022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4022]:=Group([(7,8)(9,10)(11,12)]);
# Design 4023: autom. group order 2, simple, derived
B[4023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4023]:=Group([(7,8)(9,10)(11,12)]);
# Design 4024: autom. group order 2, simple, derived
B[4024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4024]:=Group([(7,8)(9,10)(11,12)]);
# Design 4025: autom. group order 2, simple, derived
B[4025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4025]:=Group([(7,8)(9,10)(11,12)]);
# Design 4026: autom. group order 2, simple, derived
B[4026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4026]:=Group([(7,8)(9,10)(11,12)]);
# Design 4027: autom. group order 2, simple, derived
B[4027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4027]:=Group([(7,8)(9,10)(11,12)]);
# Design 4028: autom. group order 2, simple, derived
B[4028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4028]:=Group([(7,8)(9,10)(11,12)]);
# Design 4029: autom. group order 2, simple, derived
B[4029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4029]:=Group([(7,8)(9,10)(11,12)]);
# Design 4030: autom. group order 2, simple, derived
B[4030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4030]:=Group([(7,8)(9,10)(11,12)]);
# Design 4031: autom. group order 2, simple, derived
B[4031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4031]:=Group([(7,8)(9,10)(11,12)]);
# Design 4032: autom. group order 2, simple, derived
B[4032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4032]:=Group([(7,8)(9,10)(11,12)]);
# Design 4033: autom. group order 2, simple, derived
B[4033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4033]:=Group([(7,8)(9,10)(11,12)]);
# Design 4034: autom. group order 2, simple, derived
B[4034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4034]:=Group([(7,8)(9,10)(11,12)]);
# Design 4035: autom. group order 2, simple, derived
B[4035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4035]:=Group([(7,8)(9,10)(11,12)]);
# Design 4036: autom. group order 2, simple, derived
B[4036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,11],[2,4,6,8,10,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4036]:=Group([(7,8)(9,10)(11,12)]);
# Design 4037: autom. group order 2, simple, derived
B[4037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4037]:=Group([(7,8)(9,10)(11,12)]);
# Design 4038: autom. group order 2, simple, derived
B[4038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4038]:=Group([(7,8)(9,10)(11,12)]);
# Design 4039: autom. group order 2, simple, derived
B[4039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4039]:=Group([(7,8)(9,10)(11,12)]);
# Design 4040: autom. group order 2, simple, derived
B[4040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4040]:=Group([(7,8)(9,10)(11,12)]);
# Design 4041: autom. group order 2, simple, derived
B[4041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,11],[2,4,6,8,10,12],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4041]:=Group([(7,8)(9,10)(11,12)]);
# Design 4042: autom. group order 2, simple, derived
B[4042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4042]:=Group([(7,8)(9,10)(11,12)]);
# Design 4043: autom. group order 2, simple, derived
B[4043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,11],[2,4,6,8,10,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4043]:=Group([(7,8)(9,10)(11,12)]);
# Design 4044: autom. group order 2, simple, derived
B[4044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4044]:=Group([(7,8)(9,10)(11,12)]);
# Design 4045: autom. group order 2, simple, derived
B[4045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4045]:=Group([(7,8)(9,10)(11,12)]);
# Design 4046: autom. group order 2, simple, derived
B[4046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4046]:=Group([(7,8)(9,10)(11,12)]);
# Design 4047: autom. group order 2, simple, derived
B[4047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4047]:=Group([(7,8)(9,10)(11,12)]);
# Design 4048: autom. group order 2, simple, derived
B[4048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4048]:=Group([(7,8)(9,10)(11,12)]);
# Design 4049: autom. group order 2, simple, derived
B[4049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4049]:=Group([(7,8)(9,10)(11,12)]);
# Design 4050: autom. group order 2, simple, derived
B[4050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4050]:=Group([(7,8)(9,10)(11,12)]);
# Design 4051: autom. group order 2, simple, derived
B[4051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4051]:=Group([(7,8)(9,10)(11,12)]);
# Design 4052: autom. group order 2, simple, derived
B[4052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4052]:=Group([(7,8)(9,10)(11,12)]);
# Design 4053: autom. group order 2, simple, derived
B[4053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4053]:=Group([(7,8)(9,10)(11,12)]);
# Design 4054: autom. group order 2, simple, derived
B[4054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4054]:=Group([(7,8)(9,10)(11,12)]);
# Design 4055: autom. group order 2, simple, derived
B[4055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4055]:=Group([(7,8)(9,10)(11,12)]);
# Design 4056: autom. group order 2, simple, derived
B[4056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4056]:=Group([(7,8)(9,10)(11,12)]);
# Design 4057: autom. group order 2, simple, derived
B[4057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4057]:=Group([(7,8)(9,10)(11,12)]);
# Design 4058: autom. group order 2, simple, derived
B[4058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4058]:=Group([(7,8)(9,10)(11,12)]);
# Design 4059: autom. group order 2, simple
B[4059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,6,8,10,13],[1,4,8,10,11,12],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,8,9,10,12],[2,3,9,11,12,13],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[4059]:=Group([(1,9)(2,11)(3,4)(5,13)]);
# Design 4060: autom. group order 2, simple, derived
B[4060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,7,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4060]:=Group([(4,5)(7,9)(8,10)]);
# Design 4061: autom. group order 2, simple, derived
B[4061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4061]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4062: autom. group order 2, simple, derived
B[4062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4062]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4063: autom. group order 2, simple, derived
B[4063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4063]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4064: autom. group order 2, simple, derived
B[4064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4064]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4065: autom. group order 2, simple, derived
B[4065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4065]:=Group([(4,5)(7,9)(8,10)]);
# Design 4066: autom. group order 2, simple, derived
B[4066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4066]:=Group([(4,5)(7,9)(8,10)]);
# Design 4067: autom. group order 2, simple, derived
B[4067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4067]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4068: autom. group order 2, simple, derived
B[4068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4068]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4069: autom. group order 2, simple, derived
B[4069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4069]:=Group([(4,5)(7,9)(8,10)]);
# Design 4070: autom. group order 2, simple, derived
B[4070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,8,9,11,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4070]:=Group([(4,5)(7,9)(8,10)]);
# Design 4071: autom. group order 2, simple, derived
B[4071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4071]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4072: autom. group order 2, simple, derived
B[4072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4072]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4073: autom. group order 2, simple, derived
B[4073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4073]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4074: autom. group order 2, simple, derived
B[4074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4074]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4075: autom. group order 2, simple, derived
B[4075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4075]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4076: autom. group order 2, simple, derived
B[4076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4076]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4077: autom. group order 2, simple, derived
B[4077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4077]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4078: autom. group order 2, simple, derived
B[4078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4078]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4079: autom. group order 2, simple, derived
B[4079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4079]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4080: autom. group order 2, simple, derived
B[4080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4080]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4081: autom. group order 2, simple, derived
B[4081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4081]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4082: autom. group order 2, simple, derived
B[4082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4082]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4083: autom. group order 2, simple, derived
B[4083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4083]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4084: autom. group order 2, simple, derived
B[4084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4084]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4085: autom. group order 2, simple, derived
B[4085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4085]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4086: autom. group order 2, simple, derived
B[4086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,8,9,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4086]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4087: autom. group order 2, simple
B[4087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,8,12,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,6,9,10,11]];
G[4087]:=Group([(1,6)(2,12)(4,9)(5,8)(10,13)]);
# Design 4088: autom. group order 2, simple, derived
B[4088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4088]:=Group([(4,5)(7,9)(8,10)]);
# Design 4089: autom. group order 2, simple, derived
B[4089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,8,11],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4089]:=Group([(4,5)(7,9)(8,10)]);
# Design 4090: autom. group order 2, simple, derived
B[4090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4090]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4091: autom. group order 2, simple, derived
B[4091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,8,12],[2,4,9,10,12,13],[2,5,6,9,10,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4091]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4092: autom. group order 2, simple, derived
B[4092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4092]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4093: autom. group order 2, simple, derived
B[4093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4093]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4094: autom. group order 2, simple, derived
B[4094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4094]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4095: autom. group order 2, simple, derived
B[4095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4095]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4096: autom. group order 2, simple, derived
B[4096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4096]:=Group([(4,5)(7,9)(8,10)]);
# Design 4097: autom. group order 2, simple, derived
B[4097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4097]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4098: autom. group order 2, simple, derived
B[4098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4098]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4099: autom. group order 2, simple, derived
B[4099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4099]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4100: autom. group order 2, simple, derived
B[4100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4100]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4101: autom. group order 2, simple, derived
B[4101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4101]:=Group([(4,5)(7,9)(8,10)]);
# Design 4102: autom. group order 2, simple, derived
B[4102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4102]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4103: autom. group order 2, simple, derived
B[4103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4103]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4104: autom. group order 2, simple, derived
B[4104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4104]:=Group([(4,5)(7,9)(8,10)]);
# Design 4105: autom. group order 2, simple, derived
B[4105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4105]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4106: autom. group order 2, simple, derived
B[4106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4106]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4107: autom. group order 2, simple, derived
B[4107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4107]:=Group([(4,5)(7,9)(8,10)]);
# Design 4108: autom. group order 2, simple, derived
B[4108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4108]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4109: autom. group order 2, simple, derived
B[4109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4109]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4110: autom. group order 2, simple, derived
B[4110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4110]:=Group([(4,5)(7,9)(8,10)]);
# Design 4111: autom. group order 2, simple, derived
B[4111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4111]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4112: autom. group order 2, simple, derived
B[4112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4112]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4113: autom. group order 2, simple, derived
B[4113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,9,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4113]:=Group([(4,5)(7,9)(8,10)]);
# Design 4114: autom. group order 2, simple, derived
B[4114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,8,9,11],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,9,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4114]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4115: autom. group order 2, simple, derived
B[4115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4115]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4116: autom. group order 2, simple, derived
B[4116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4116]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4117: autom. group order 2, simple, derived
B[4117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4117]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4118: autom. group order 2, simple, derived
B[4118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,8,9,12],[3,5,6,7,10,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4118]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4119: autom. group order 2, simple
B[4119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,8,9,13],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,11,12],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,6,9,10,13],[2,4,7,9,11,12],[2,5,6,7,8,13],[2,5,8,10,12,13],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,8,12,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,7,9,11,13],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[4119]:=Group([(1,6)(2,12)(4,9)(5,8)(10,13)]);
# Design 4120: autom. group order 2, simple, derived
B[4120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4120]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4121: autom. group order 2, simple, derived
B[4121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4121]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4122: autom. group order 2, simple, derived
B[4122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4122]:=Group([(4,5)(7,9)(8,10)]);
# Design 4123: autom. group order 2, simple, derived
B[4123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4123]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4124: autom. group order 2, simple, derived
B[4124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4124]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4125: autom. group order 2, simple, derived
B[4125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4125]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4126: autom. group order 2, simple, derived
B[4126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4126]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4127: autom. group order 2, simple, derived
B[4127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4127]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4128: autom. group order 2, simple, derived
B[4128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4128]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4129: autom. group order 2, simple, derived
B[4129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4129]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4130: autom. group order 2, simple, derived
B[4130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4130]:=Group([(4,5)(7,9)(8,10)]);
# Design 4131: autom. group order 2, simple, derived
B[4131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4131]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4132: autom. group order 2, simple
B[4132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,11],[1,3,6,10,12,13],[1,4,7,9,11,13],[1,4,8,9,10,12],[1,5,7,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,8,12,13],[2,4,7,8,10,11],[2,5,6,9,11,12],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,5,7,12,13],[3,4,6,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,9,10],[4,5,6,8,10,13]];
G[4132]:=Group([(1,11)(2,9)(5,13)(7,12)(8,10)]);
# Design 4133: autom. group order 2, simple, derived
B[4133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,8,12,13],[2,5,6,8,11,13],[2,5,9,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4133]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4134: autom. group order 2, simple, derived
B[4134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,8,12,13],[2,5,9,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4134]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4135: autom. group order 2, simple, derived
B[4135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,8,12,13],[2,5,6,8,11,13],[2,5,9,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4135]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4136: autom. group order 2, simple, derived
B[4136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4136]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4137: autom. group order 2, simple, derived
B[4137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4137]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4138: autom. group order 2, simple, derived
B[4138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4138]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4139: autom. group order 2, simple, derived
B[4139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4139]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4140: autom. group order 2, simple, derived
B[4140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4140]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4141: autom. group order 2, simple, derived
B[4141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4141]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4142: autom. group order 2, simple, derived
B[4142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4142]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4143: autom. group order 2, simple, derived
B[4143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4143]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4144: autom. group order 2, simple, derived
B[4144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4144]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4145: autom. group order 2, simple, derived
B[4145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4145]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4146: autom. group order 2, simple, derived
B[4146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4146]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4147: autom. group order 2, simple, derived
B[4147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4147]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4148: autom. group order 2, simple, derived
B[4148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4148]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4149: autom. group order 2, simple, derived
B[4149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4149]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4150: autom. group order 2, simple, derived
B[4150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4150]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4151: autom. group order 2, simple, derived
B[4151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4151]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4152: autom. group order 2, simple, derived
B[4152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4152]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4153: autom. group order 2, simple, derived
B[4153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,7,8,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4153]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4154: autom. group order 2, simple
B[4154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,11],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,8,9,10,12],[1,5,7,10,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,10,12,13],[2,4,7,8,10,11],[2,5,6,9,11,12],[2,5,8,9,10,13],[2,6,7,8,11,12],[3,4,5,7,12,13],[3,4,6,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,8,9],[4,5,6,8,10,13]];
G[4154]:=Group([(1,11)(2,9)(5,13)(7,12)(8,10)]);
# Design 4155: autom. group order 2, simple, derived
B[4155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,10,12],[3,5,6,9,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4155]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4156: autom. group order 2, simple
B[4156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,8,10,11],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[4156]:=Group([(1,6)(2,12)(4,8)(5,9)(10,13)]);
# Design 4157: autom. group order 2, simple, derived
B[4157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,5,6,9,10,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4157]:=Group([(4,5)(7,9)(8,10)]);
# Design 4158: autom. group order 2, simple, derived
B[4158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,10,12],[3,5,6,9,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4158]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4159: autom. group order 2, simple, derived
B[4159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4159]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4160: autom. group order 2, simple, derived
B[4160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4160]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4161: autom. group order 2, simple, derived
B[4161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4161]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4162: autom. group order 2, simple, derived
B[4162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,8,9,11],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4162]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4163: autom. group order 2, simple, derived
B[4163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4163]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4164: autom. group order 2, simple, derived
B[4164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4164]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4165: autom. group order 2, simple, derived
B[4165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4165]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4166: autom. group order 2, simple, derived
B[4166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4166]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4167: autom. group order 2, simple, derived
B[4167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,8,9,11,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4167]:=Group([(4,5)(7,9)(8,10)]);
# Design 4168: autom. group order 2, simple, derived
B[4168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4168]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4169: autom. group order 2, simple, derived
B[4169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,12],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4169]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4170: autom. group order 2, simple, derived
B[4170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4170]:=Group([(4,5)(7,9)(8,10)]);
# Design 4171: autom. group order 2, simple, derived
B[4171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4171]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4172: autom. group order 2, simple, derived
B[4172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4172]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4173: autom. group order 2, simple, derived
B[4173]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4173]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4174: autom. group order 2, simple, derived
B[4174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4174]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4175: autom. group order 2, simple, derived
B[4175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4175]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4176: autom. group order 2, simple, derived
B[4176]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4176]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4177: autom. group order 2, simple, derived
B[4177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,9,10,11,13],[1,6,7,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,11],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4177]:=Group([(4,5)(7,9)(8,10)]);
# Design 4178: autom. group order 2, simple, derived
B[4178]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,11],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4178]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4179: autom. group order 2, simple, derived
B[4179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,8,9,12],[2,4,9,10,11,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4179]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4180: autom. group order 2, simple, derived
B[4180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,8,12],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,10,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4180]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4181: autom. group order 2, simple, derived
B[4181]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,8,12],[3,4,9,10,12,13],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4181]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4182: autom. group order 2, simple, derived
B[4182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,8,12],[3,4,9,10,12,13],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4182]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4183: autom. group order 2, simple, derived
B[4183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,9,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4183]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4184: autom. group order 2, simple, derived
B[4184]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4184]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4185: autom. group order 2, simple, derived
B[4185]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,8,9,12,13],[2,5,6,10,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4185]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4186: autom. group order 2, simple, derived
B[4186]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4186]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4187: autom. group order 2, simple, derived
B[4187]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4187]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4188: autom. group order 2, simple, derived
B[4188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4188]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4189: autom. group order 2, simple, derived
B[4189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,9,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4189]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4190: autom. group order 2, simple, derived
B[4190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,9,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4190]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4191: autom. group order 2, simple, derived
B[4191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,9,10,12,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4191]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4192: autom. group order 2, simple, derived
B[4192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4192]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4193: autom. group order 2, simple, derived
B[4193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,8,9,12,13],[2,5,6,10,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4193]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4194: autom. group order 2, simple, derived
B[4194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4194]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4195: autom. group order 2, simple, derived
B[4195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4195]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4196: autom. group order 2, simple, derived
B[4196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4196]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4197: autom. group order 2, simple, derived
B[4197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4197]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4198: autom. group order 2, simple, derived
B[4198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4198]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4199: autom. group order 2, simple, derived
B[4199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4199]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4200: autom. group order 2, simple, derived
B[4200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,10,11,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4200]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4201: autom. group order 2, simple, derived
B[4201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4201]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4202: autom. group order 2, simple, derived
B[4202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4202]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4203: autom. group order 2, simple, derived
B[4203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4203]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4204: autom. group order 2, simple, derived
B[4204]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4204]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4205: autom. group order 2, simple, derived
B[4205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4205]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4206: autom. group order 2, simple, derived
B[4206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,10,11],[1,4,8,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4206]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4207: autom. group order 2, simple, derived
B[4207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4207]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4208: autom. group order 2, simple, derived
B[4208]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4208]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4209: autom. group order 2, simple
B[4209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,9,11,13],[1,4,8,11,12,13],[1,4,9,10,12,13],[1,5,7,8,9,10],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,7,8,9,13],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[4209]:=Group([(1,12)(2,7)(4,13)(8,9)(10,11)]);
# Design 4210: autom. group order 2, simple, derived
B[4210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,11],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4210]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4211: autom. group order 2, simple, derived
B[4211]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,7,10,11,13],[2,5,6,8,9,11],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4211]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4212: autom. group order 2, simple, derived
B[4212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,7,8,11,13],[2,5,6,8,9,11],[2,5,9,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4212]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4213: autom. group order 2, simple, derived
B[4213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,8,11],[2,4,7,10,12,13],[2,5,6,9,10,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4213]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4214: autom. group order 2, simple
B[4214]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,13],[1,3,6,8,10,12],[1,4,8,9,12,13],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,3,9,10,11,13],[2,4,6,7,9,12],[2,4,7,8,10,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,6,8,10,13]];
G[4214]:=Group([(1,12)(2,7)(4,13)(8,10)(9,11)]);
# Design 4215: autom. group order 2, simple
B[4215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,8,11,13],[1,4,8,10,12,13],[1,4,9,11,12,13],[1,5,7,8,9,10],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,7,8,9,13],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[4215]:=Group([(1,12)(2,7)(4,13)(8,9)(10,11)]);
# Design 4216: autom. group order 2, simple
B[4216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,8,10,13],[1,4,8,11,12,13],[1,4,9,10,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,7,8,9,13],[2,5,6,9,11,13],[2,5,8,9,10,12],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[4216]:=Group([(1,12)(2,7)(4,13)(8,9)(10,11)]);
# Design 4217: autom. group order 2, simple, derived
B[4217]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,11],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,10,12],[3,5,6,9,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4217]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4218: autom. group order 2, simple
B[4218]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,8,9,11,13],[1,4,9,10,12,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[4218]:=Group([(1,6)(2,12)(4,8)(5,9)(10,13)]);
# Design 4219: autom. group order 2, simple, derived
B[4219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,8,12],[2,4,8,9,11,13],[2,5,6,9,10,11],[2,5,7,10,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4219]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4220: autom. group order 2, simple, derived
B[4220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4220]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4221: autom. group order 2, simple, derived
B[4221]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,5,6,9,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4221]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4222: autom. group order 2, simple, derived
B[4222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4222]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4223: autom. group order 2, simple, derived
B[4223]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4223]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4224: autom. group order 2, simple, derived
B[4224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,9,10,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4224]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4225: autom. group order 2, simple, derived
B[4225]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4225]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4226: autom. group order 2, simple, derived
B[4226]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,5,6,9,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4226]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4227: autom. group order 2, simple, derived
B[4227]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4227]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4228: autom. group order 2, simple, derived
B[4228]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[4228]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4229: autom. group order 2, simple, derived
B[4229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,8,12],[3,4,8,9,11,13],[3,5,6,9,10,11],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4229]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4230: autom. group order 2, simple, derived
B[4230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,11,13],[2,5,6,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4230]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4231: autom. group order 2, simple, derived
B[4231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4231]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4232: autom. group order 2, simple, derived
B[4232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4232]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4233: autom. group order 2, simple, derived
B[4233]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,11,13],[2,5,6,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4233]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4234: autom. group order 2, simple, derived
B[4234]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4234]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4235: autom. group order 2, simple, derived
B[4235]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,8,12,13],[3,5,6,7,10,12],[3,5,9,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4235]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4236: autom. group order 2, simple, derived
B[4236]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,8,12,13],[2,5,6,8,11,13],[2,5,9,10,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,8,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4236]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4237: autom. group order 2, simple, derived
B[4237]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,11,13],[2,5,6,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4237]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4238: autom. group order 2, simple, derived
B[4238]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4238]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4239: autom. group order 2, simple, derived
B[4239]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4239]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4240: autom. group order 2, simple, derived
B[4240]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,11,13],[2,5,6,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4240]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4241: autom. group order 2, simple, derived
B[4241]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,11,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,9,11,12],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4241]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4242: autom. group order 2, simple
B[4242]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,7,10,13],[1,4,7,9,12,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,3,9,10,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,5,10,12,13],[3,4,6,8,11,12],[3,4,7,8,10,11],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,7,9,13],[4,5,6,9,10,11]];
G[4242]:=Group([(1,12)(2,8)(4,9)(5,6)(7,13)(10,11)]);
# Design 4243: autom. group order 2, simple, derived
B[4243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,11,13],[1,4,7,10,12,13],[1,5,8,9,12,13],[1,5,9,10,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4243]:=Group([(4,5)(7,9)(8,10)]);
# Design 4244: autom. group order 2, simple, derived
B[4244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,12,13],[1,4,7,10,11,13],[1,5,8,9,11,13],[1,5,9,10,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4244]:=Group([(4,5)(7,9)(8,10)]);
# Design 4245: autom. group order 2, simple, derived
B[4245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,11,13],[1,4,7,10,12,13],[1,5,8,9,12,13],[1,5,9,10,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4245]:=Group([(4,5)(7,9)(8,10)]);
# Design 4246: autom. group order 2, simple, derived
B[4246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,12,13],[1,4,7,10,11,13],[1,5,8,9,11,13],[1,5,9,10,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4246]:=Group([(4,5)(7,9)(8,10)]);
# Design 4247: autom. group order 2, simple, derived
B[4247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,11,13],[1,4,7,10,12,13],[1,5,8,9,12,13],[1,5,9,10,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4247]:=Group([(4,5)(7,9)(8,10)]);
# Design 4248: autom. group order 2, simple, derived
B[4248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,12,13],[1,4,7,10,11,13],[1,5,8,9,11,13],[1,5,9,10,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4248]:=Group([(4,5)(7,9)(8,10)]);
# Design 4249: autom. group order 2, simple, derived
B[4249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,8,11,13],[1,4,7,10,12,13],[1,5,8,9,12,13],[1,5,9,10,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4249]:=Group([(4,5)(7,9)(8,10)]);
# Design 4250: autom. group order 2, simple, derived
B[4250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4250]:=Group([(4,5)(7,9)(8,10)]);
# Design 4251: autom. group order 2, simple
B[4251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,7,8,10,12],[2,5,6,8,10,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4251]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4252: autom. group order 2, simple
B[4252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,7,8,10,11],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,7,8,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4252]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4253: autom. group order 2, simple, derived
B[4253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4253]:=Group([(4,5)(7,9)(8,10)]);
# Design 4254: autom. group order 2, simple, derived
B[4254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4254]:=Group([(4,5)(7,9)(8,10)]);
# Design 4255: autom. group order 2, simple
B[4255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4255]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4256: autom. group order 2, simple
B[4256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,7,9,10,11],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4256]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4257: autom. group order 2, simple
B[4257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,9,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4257]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4258: autom. group order 2, simple
B[4258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,7,9,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4258]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4259: autom. group order 2, simple
B[4259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4259]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4260: autom. group order 2, simple
B[4260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4260]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4261: autom. group order 2, simple
B[4261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4261]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4262: autom. group order 2, simple
B[4262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4262]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4263: autom. group order 2, simple
B[4263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4263]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4264: autom. group order 2, simple
B[4264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4264]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4265: autom. group order 2, simple, derived
B[4265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4265]:=Group([(4,5)(7,9)(8,10)]);
# Design 4266: autom. group order 2, simple, derived
B[4266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4266]:=Group([(4,5)(7,9)(8,10)]);
# Design 4267: autom. group order 2, simple, derived
B[4267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4267]:=Group([(4,5)(7,9)(8,10)]);
# Design 4268: autom. group order 2, simple, derived
B[4268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4268]:=Group([(4,5)(7,9)(8,10)]);
# Design 4269: autom. group order 2, simple
B[4269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4269]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4270: autom. group order 2, simple
B[4270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4270]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4271: autom. group order 2, simple
B[4271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4271]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4272: autom. group order 2, simple
B[4272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4272]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4273: autom. group order 2, simple, derived
B[4273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4273]:=Group([(4,5)(7,9)(8,10)]);
# Design 4274: autom. group order 2, simple, derived
B[4274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4274]:=Group([(4,5)(7,9)(8,10)]);
# Design 4275: autom. group order 2, simple
B[4275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4275]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4276: autom. group order 2, simple
B[4276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4276]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4277: autom. group order 2, simple
B[4277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4277]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4278: autom. group order 2, simple
B[4278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4278]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4279: autom. group order 2, simple
B[4279]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4279]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4280: autom. group order 2, simple
B[4280]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4280]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4281: autom. group order 2, simple
B[4281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4281]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4282: autom. group order 2, simple
B[4282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4282]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4283: autom. group order 2, simple
B[4283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4283]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4284: autom. group order 2, simple
B[4284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4284]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4285: autom. group order 2, simple, derived
B[4285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4285]:=Group([(4,5)(7,9)(8,10)]);
# Design 4286: autom. group order 2, simple, derived
B[4286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4286]:=Group([(4,5)(7,9)(8,10)]);
# Design 4287: autom. group order 2, simple, derived
B[4287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,8,9,12],[2,5,6,7,10,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4287]:=Group([(4,5)(7,9)(8,10)]);
# Design 4288: autom. group order 2, simple, derived
B[4288]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,8,9,12],[2,5,6,7,10,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4288]:=Group([(4,5)(7,9)(8,10)]);
# Design 4289: autom. group order 2, simple, derived
B[4289]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4289]:=Group([(4,5)(7,9)(8,10)]);
# Design 4290: autom. group order 2, simple, derived
B[4290]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4290]:=Group([(4,5)(7,9)(8,10)]);
# Design 4291: autom. group order 2, simple
B[4291]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4291]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4292: autom. group order 2, simple
B[4292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4292]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4293: autom. group order 2, simple
B[4293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4293]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4294: autom. group order 2, simple
B[4294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,10,12,13],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4294]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4295: autom. group order 2, simple, derived
B[4295]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4295]:=Group([(4,5)(7,9)(8,10)]);
# Design 4296: autom. group order 2, simple, derived
B[4296]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4296]:=Group([(4,5)(7,9)(8,10)]);
# Design 4297: autom. group order 2, simple
B[4297]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4297]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4298: autom. group order 2, simple
B[4298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4298]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4299: autom. group order 2, simple
B[4299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4299]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4300: autom. group order 2, simple
B[4300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4300]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4301: autom. group order 2, simple
B[4301]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4301]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4302: autom. group order 2, simple
B[4302]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4302]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4303: autom. group order 2, simple
B[4303]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4303]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4304: autom. group order 2, simple
B[4304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4304]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4305: autom. group order 2, simple, derived
B[4305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4305]:=Group([(4,5)(7,9)(8,10)]);
# Design 4306: autom. group order 2, simple, derived
B[4306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4306]:=Group([(4,5)(7,9)(8,10)]);
# Design 4307: autom. group order 2, simple, derived
B[4307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,8,9,12],[2,5,6,7,10,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4307]:=Group([(4,5)(7,9)(8,10)]);
# Design 4308: autom. group order 2, simple, derived
B[4308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,8,9,12],[2,5,6,7,10,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4308]:=Group([(4,5)(7,9)(8,10)]);
# Design 4309: autom. group order 2, simple, derived
B[4309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4309]:=Group([(4,5)(7,9)(8,10)]);
# Design 4310: autom. group order 2, simple, derived
B[4310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[4310]:=Group([(4,5)(7,9)(8,10)]);
# Design 4311: autom. group order 2, simple
B[4311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4311]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4312: autom. group order 2, simple
B[4312]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4312]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4313: autom. group order 2, simple
B[4313]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4313]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4314: autom. group order 2, simple
B[4314]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4314]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4315: autom. group order 2, simple
B[4315]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4315]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4316: autom. group order 2, simple, derived
B[4316]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4316]:=Group([(4,5)(7,9)(8,10)]);
# Design 4317: autom. group order 2, simple, derived
B[4317]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,9,10,11]];
G[4317]:=Group([(4,5)(7,9)(8,10)]);
# Design 4318: autom. group order 2, simple
B[4318]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4318]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4319: autom. group order 2, simple
B[4319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4319]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4320: autom. group order 2, simple
B[4320]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4320]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4321: autom. group order 2, simple
B[4321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4321]:=Group([(4,5)(7,10)(8,9)(11,12)]);
# Design 4322: autom. group order 2, simple
B[4322]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4322]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4323: autom. group order 2, simple
B[4323]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,11,13],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4323]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4324: autom. group order 2, simple
B[4324]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4324]:=Group([(4,5)(7,9)(8,10)(11,12)]);
# Design 4325: autom. group order 2, simple, derived
B[4325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4325]:=Group([(4,5)(7,9)(8,10)]);
# Design 4326: autom. group order 2, simple, derived
B[4326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4326]:=Group([(4,5)(7,9)(8,10)]);
# Design 4327: autom. group order 2, simple, derived
B[4327]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4327]:=Group([(4,5)(7,9)(8,10)]);
# Design 4328: autom. group order 2, simple, derived
B[4328]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4328]:=Group([(4,5)(7,9)(8,10)]);
# Design 4329: autom. group order 2, simple, derived
B[4329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4329]:=Group([(4,5)(7,9)(8,10)]);
# Design 4330: autom. group order 2, simple, derived
B[4330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4330]:=Group([(4,5)(7,9)(8,10)]);
# Design 4331: autom. group order 2, simple, derived
B[4331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,8,11,13],[3,5,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4331]:=Group([(4,5)(7,9)(8,10)]);
# Design 4332: autom. group order 2, simple, derived
B[4332]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,8,11,13],[3,5,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[4332]:=Group([(4,5)(7,9)(8,10)]);
# Design 4333: autom. group order 2, simple, derived
B[4333]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4333]:=Group([(4,5)(7,9)(8,10)]);
# Design 4334: autom. group order 2, simple, derived
B[4334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,6,8,10,12],[1,4,7,10,12,13],[1,4,9,10,11,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,6,9,10,12]];
G[4334]:=Group([(4,5)(7,9)(8,10)]);
# Design 4335: autom. group order 2, simple
B[4335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[4335]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4336: autom. group order 2, simple
B[4336]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[4336]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4337: autom. group order 2, simple
B[4337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,7,10,11,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[4337]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4338: autom. group order 2, simple
B[4338]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4338]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4339: autom. group order 2, simple
B[4339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4339]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4340: autom. group order 2, simple
B[4340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4340]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4341: autom. group order 2, simple
B[4341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,10,13],[1,3,7,9,11,12],[1,4,6,11,12,13],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4341]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4342: autom. group order 2, simple
B[4342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,11],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[4342]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4343: autom. group order 2, simple
B[4343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4343]:=Group([(3,4)(7,8)(9,12)(10,11)]);
# Design 4344: autom. group order 2, simple
B[4344]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4344]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4345: autom. group order 2, simple
B[4345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4345]:=Group([(3,4)(7,8)(9,12)(10,11)]);
# Design 4346: autom. group order 2, simple
B[4346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4346]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4347: autom. group order 2, simple
B[4347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4347]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4348: autom. group order 2, simple
B[4348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,10,13],[1,3,7,9,11,12],[1,4,6,11,12,13],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4348]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4349: autom. group order 2, simple
B[4349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,11],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[4349]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4350: autom. group order 2, simple
B[4350]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,11],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,7,10,11,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[4350]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4351: autom. group order 2, simple
B[4351]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4351]:=Group([(3,4)(7,8)(9,12)(10,11)]);
# Design 4352: autom. group order 2, simple
B[4352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4352]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4353: autom. group order 2, simple
B[4353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4353]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4354: autom. group order 2, simple
B[4354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[4354]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4355: autom. group order 2, simple
B[4355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[4355]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4356: autom. group order 2, simple
B[4356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,7,9,10,13],[2,5,8,11,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4356]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4357: autom. group order 2, simple
B[4357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,7,9,10,13],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4357]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4358: autom. group order 2, simple
B[4358]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,11],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[4358]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4359: autom. group order 2, simple
B[4359]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,11],[1,4,6,10,12,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,11,12],[2,5,7,9,10,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[4359]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4360: autom. group order 2, simple
B[4360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4360]:=Group([(3,4)(7,8)(9,12)(10,11)]);
# Design 4361: autom. group order 2, simple
B[4361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,7,9,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[4361]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4362: autom. group order 2, simple
B[4362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,10,11,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,9,10,13],[1,5,8,9,12,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,7,11,12,13],[2,5,8,10,11,13],[2,6,7,8,9,10],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4362]:=Group([(1,2)(3,4)(9,11)(10,12)]);
# Design 4363: autom. group order 2, simple, derived
B[4363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,7,10,11],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4363]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4364: autom. group order 2, simple, derived
B[4364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,10,11],[2,5,7,10,12,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4364]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4365: autom. group order 2, simple, derived
B[4365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,7,9,12,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4365]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4366: autom. group order 2, simple, derived
B[4366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,7,9,11,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4366]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4367: autom. group order 2, simple, derived
B[4367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4367]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4368: autom. group order 2, simple, derived
B[4368]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,7,8,9,11],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4368]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4369: autom. group order 2, simple, derived
B[4369]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4369]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4370: autom. group order 2, simple, derived
B[4370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,7,9,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,7,8,9,11],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4370]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4371: autom. group order 2, simple, derived
B[4371]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,7,9,13],[1,4,8,10,11,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4371]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4372: autom. group order 2, simple, derived
B[4372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,7,9,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4372]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4373: autom. group order 2, simple, derived
B[4373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4373]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4374: autom. group order 2, simple, derived
B[4374]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4374]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4375: autom. group order 2, simple, derived
B[4375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,8,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,10,12],[2,5,7,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4375]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4376: autom. group order 2, simple, derived
B[4376]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,9,11],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4376]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4377: autom. group order 2, simple, derived
B[4377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,9,11],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4377]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4378: autom. group order 2, simple, derived
B[4378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,9,12],[2,4,8,9,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4378]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4379: autom. group order 2, simple, derived
B[4379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4379]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4380: autom. group order 2, simple, derived
B[4380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4380]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4381: autom. group order 2, simple, derived
B[4381]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4381]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4382: autom. group order 2, simple, derived
B[4382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,8,9,11,13],[2,5,7,8,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4382]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4383: autom. group order 2, simple, derived
B[4383]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4383]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4384: autom. group order 2, simple, derived
B[4384]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4384]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4385: autom. group order 2, simple, derived
B[4385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4385]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4386: autom. group order 2, simple, derived
B[4386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4386]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4387: autom. group order 2, simple, derived
B[4387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,7,8,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4387]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4388: autom. group order 2, simple, derived
B[4388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,7,11,13]];
G[4388]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4389: autom. group order 2, simple, derived
B[4389]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,8,11,12,13],[2,4,6,8,9,10],[2,4,7,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4389]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4390: autom. group order 2, simple, derived
B[4390]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,9,10,13],[1,4,6,8,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4390]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4391: autom. group order 2, simple, derived
B[4391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,10,11,13],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,7,11,13]];
G[4391]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4392: autom. group order 2, simple, derived
B[4392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4392]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4393: autom. group order 2, simple, derived
B[4393]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,7,11,13]];
G[4393]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4394: autom. group order 2, simple, derived
B[4394]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,6,7,9,10],[2,4,8,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4394]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4395: autom. group order 2, simple, derived
B[4395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,9,10,13],[1,4,6,8,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4395]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4396: autom. group order 2, simple, derived
B[4396]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,7,11,13]];
G[4396]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4397: autom. group order 2, simple, derived
B[4397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4397]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4398: autom. group order 2, simple, derived
B[4398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,10],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,11,12]];
G[4398]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4399: autom. group order 2, simple, derived
B[4399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,9,11],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,7,10,11,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4399]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4400: autom. group order 2, simple, derived
B[4400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,7,9,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4400]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4401: autom. group order 2, simple, derived
B[4401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,9,11],[2,4,7,10,12,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4401]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4402: autom. group order 2, simple, derived
B[4402]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,8,10,11],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,9,12],[2,4,7,9,11,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4402]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4403: autom. group order 2, simple, derived
B[4403]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,8,9,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4403]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4404: autom. group order 2, simple, derived
B[4404]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,8,10,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,7,10,12,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4404]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4405: autom. group order 2, simple, derived
B[4405]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,6,7,9,13],[2,4,7,10,11,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4405]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4406: autom. group order 2, simple, derived
B[4406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,7,9,11,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4406]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4407: autom. group order 2, simple, derived
B[4407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,7,9,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4407]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4408: autom. group order 2, simple, derived
B[4408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4408]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4409: autom. group order 2, simple, derived
B[4409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,7,10,11,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4409]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4410: autom. group order 2, simple, derived
B[4410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,7,10,12,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4410]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4411: autom. group order 2, simple, derived
B[4411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,8,11,12,13],[2,4,6,7,10,11],[2,4,7,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4411]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4412: autom. group order 2, simple, derived
B[4412]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,9,10,13],[1,4,6,8,10,13],[1,4,8,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[4412]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4413: autom. group order 2, simple, derived
B[4413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4413]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4414: autom. group order 2, simple, derived
B[4414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,6,7,9,10],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4414]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4415: autom. group order 2, simple, derived
B[4415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,7,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4415]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4416: autom. group order 2, simple, derived
B[4416]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,8,11,12,13],[2,4,6,7,10,11],[2,4,7,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4416]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4417: autom. group order 2, simple, derived
B[4417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4417]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4418: autom. group order 2, simple, derived
B[4418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,6,7,9,10],[2,4,7,11,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[4418]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4419: autom. group order 2, simple, derived
B[4419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,6,7,9,10],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4419]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4420: autom. group order 2, simple, derived
B[4420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,6,7,9,12],[2,4,7,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[4,5,6,7,11,13],[4,5,6,8,10,11]];
G[4420]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4421: autom. group order 2, simple, derived
B[4421]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,6,7,9,10],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[4,5,6,7,11,13],[4,5,6,8,10,11]];
G[4421]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4422: autom. group order 2, simple, derived
B[4422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,6,7,9,12],[2,4,7,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,11,13]];
G[4422]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4423: autom. group order 2, simple, derived
B[4423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,6,7,9,10],[2,4,7,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,11,13]];
G[4423]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4424: autom. group order 2, simple, derived
B[4424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,10],[1,3,7,11,12,13],[1,4,6,8,11,12],[1,4,8,9,10,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4424]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4425: autom. group order 2, simple, derived
B[4425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,12],[1,3,7,11,12,13],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,8,10,11,13],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,7,11,13]];
G[4425]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4426: autom. group order 2, simple, derived
B[4426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,12],[1,3,7,11,12,13],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4426]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4427: autom. group order 2, simple, derived
B[4427]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,9,10,13],[1,4,6,8,9,10],[1,4,8,11,12,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4427]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4428: autom. group order 2, simple, derived
B[4428]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,8,10,11,13],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,7,11,13]];
G[4428]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4429: autom. group order 2, simple, derived
B[4429]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4429]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4430: autom. group order 2, simple, derived
B[4430]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4430]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4431: autom. group order 2, simple, derived
B[4431]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4431]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4432: autom. group order 2, simple, derived
B[4432]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,12],[1,3,7,11,12,13],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,11,13],[2,4,6,7,12,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4432]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4433: autom. group order 2, simple, derived
B[4433]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,9,12],[1,3,7,11,12,13],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4433]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4434: autom. group order 2, simple, derived
B[4434]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,11],[1,3,7,9,12,13],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4434]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4435: autom. group order 2, simple, derived
B[4435]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,11,13],[2,4,6,7,12,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4435]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4436: autom. group order 2, simple, derived
B[4436]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4436]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4437: autom. group order 2, simple, derived
B[4437]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,11],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,8,9,10,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4437]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4438: autom. group order 2, simple, derived
B[4438]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,9,12,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4438]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4439: autom. group order 2, simple, derived
B[4439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,9,12,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[4439]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4440: autom. group order 2, simple, derived
B[4440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,7,9,13],[1,4,8,10,11,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4440]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4441: autom. group order 2, simple, derived
B[4441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4441]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4442: autom. group order 2, simple, derived
B[4442]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4442]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4443: autom. group order 2, simple, derived
B[4443]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4443]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4444: autom. group order 2, simple, derived
B[4444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,7,9,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4444]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4445: autom. group order 2, simple, derived
B[4445]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4445]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4446: autom. group order 2, simple, derived
B[4446]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[4446]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4447: autom. group order 2, simple, derived
B[4447]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4447]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4448: autom. group order 2, simple, derived
B[4448]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,7,12,13],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,11,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4448]:=Group([(3,4)(9,11)(10,12)]);
# Design 4449: autom. group order 2, simple, derived
B[4449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,7,12,13],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,11,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4449]:=Group([(3,4)(9,11)(10,12)]);
# Design 4450: autom. group order 2, simple, derived
B[4450]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4450]:=Group([(3,4)(9,11)(10,12)]);
# Design 4451: autom. group order 2, simple, derived
B[4451]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,9,10],[2,3,7,10,11,13],[2,4,6,8,11,12],[2,4,7,9,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4451]:=Group([(3,4)(9,11)(10,12)]);
# Design 4452: autom. group order 2, simple, derived
B[4452]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,7,12,13],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,11,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4452]:=Group([(3,4)(9,11)(10,12)]);
# Design 4453: autom. group order 2, simple, derived
B[4453]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,6,8,9,10],[2,4,7,10,11,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4453]:=Group([(3,4)(9,11)(10,12)]);
# Design 4454: autom. group order 2, simple, derived
B[4454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,9,10,13],[2,4,6,8,9,12],[2,4,7,11,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4454]:=Group([(3,4)(9,11)(10,12)]);
# Design 4455: autom. group order 2, simple, derived
B[4455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,10,13],[2,4,6,8,9,10],[2,4,7,11,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4455]:=Group([(3,4)(9,11)(10,12)]);
# Design 4456: autom. group order 2, simple, derived
B[4456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,7,12,13],[1,4,8,10,11,13],[1,5,7,8,9,10],[1,5,7,8,11,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4456]:=Group([(3,4)(9,11)(10,12)]);
# Design 4457: autom. group order 2, simple, derived
B[4457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4457]:=Group([(3,4)(9,11)(10,12)]);
# Design 4458: autom. group order 2, simple, derived
B[4458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,13],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[4458]:=Group([(3,4)(9,11)(10,12)]);
# Design 4459: autom. group order 2, simple, derived
B[4459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,7,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4459]:=Group([(3,4)(9,11)(10,12)]);
# Design 4460: autom. group order 2, simple, derived
B[4460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,9,10,13],[2,4,6,8,10,11],[2,4,7,11,12,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4460]:=Group([(3,4)(9,11)(10,12)]);
# Design 4461: autom. group order 2, simple, derived
B[4461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,13],[1,4,6,7,12,13],[1,4,8,9,12,13],[1,5,7,8,9,10],[1,5,7,8,11,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,7,9,11,13],[2,5,8,10,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4461]:=Group([(3,4)(9,11)(10,12)]);
# Design 4462: autom. group order 2, simple, derived
B[4462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,7,8,9,12],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4462]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4463: autom. group order 2, simple, derived
B[4463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,7,8,9,12],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4463]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4464: autom. group order 2, simple, derived
B[4464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4464]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4465: autom. group order 2, simple, derived
B[4465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,8,9,13],[2,4,7,9,11,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4465]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4466: autom. group order 2, simple, derived
B[4466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,8,9,13],[2,4,7,9,11,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4466]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4467: autom. group order 2, simple, derived
B[4467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,8,9,13],[2,4,7,9,11,13],[2,5,7,8,9,12],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4467]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4468: autom. group order 2, simple, derived
B[4468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4468]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4469: autom. group order 2, simple, derived
B[4469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4469]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4470: autom. group order 2, simple, derived
B[4470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4470]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4471: autom. group order 2, simple, derived
B[4471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,7,8,9,12],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4471]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4472: autom. group order 2, simple, derived
B[4472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,7,9,11,13],[2,5,7,8,10,11],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4472]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4473: autom. group order 2, simple, derived
B[4473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,8,9,13],[2,4,7,9,12,13],[2,5,7,8,10,11],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4473]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4474: autom. group order 2, simple, derived
B[4474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4474]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4475: autom. group order 2, simple, derived
B[4475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,6,8,10,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,9,12]];
G[4475]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4476: autom. group order 2, simple, derived
B[4476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,10],[2,3,8,10,11,13],[2,4,6,8,11,12],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[4476]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4477: autom. group order 2, simple, derived
B[4477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,10,11],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,7,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4477]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4478: autom. group order 2, simple, derived
B[4478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[4478]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4479: autom. group order 2, simple, derived
B[4479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,9,12,13],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[4479]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4480: autom. group order 2, simple, derived
B[4480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,9,12,13],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4480]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4481: autom. group order 2, simple, derived
B[4481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,9,12],[2,3,8,9,10,13],[2,4,6,8,10,11],[2,4,7,11,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,9,12]];
G[4481]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4482: autom. group order 2, simple, derived
B[4482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,6,8,9,12],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4482]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4483: autom. group order 2, simple, derived
B[4483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,10,11],[2,3,8,9,10,13],[2,4,6,8,9,12],[2,4,7,11,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[4483]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4484: autom. group order 2, simple, derived
B[4484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,8,11,12,13],[2,4,6,8,9,10],[2,4,7,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[4,5,6,7,11,13],[4,5,6,8,10,11]];
G[4484]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4485: autom. group order 2, simple, derived
B[4485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[4,5,6,7,11,13],[4,5,6,8,10,11]];
G[4485]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4486: autom. group order 2, simple, derived
B[4486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,10,11],[2,3,8,11,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,11,13]];
G[4486]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4487: autom. group order 2, simple, derived
B[4487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,7,10,11],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,7,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,11,13]];
G[4487]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4488: autom. group order 2, simple, derived
B[4488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4488]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4489: autom. group order 2, simple, derived
B[4489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,8,9,11],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4489]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4490: autom. group order 2, simple, derived
B[4490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,8,9,11,13],[1,4,6,8,10,12],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,7,9,11],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4490]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4491: autom. group order 2, simple, derived
B[4491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,8,9,11,13],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4491]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4492: autom. group order 2, simple, derived
B[4492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,7,9,12],[2,4,8,9,11,13],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4492]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4493: autom. group order 2, simple, derived
B[4493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4493]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4494: autom. group order 2, simple, derived
B[4494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4494]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4495: autom. group order 2, simple, derived
B[4495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,7,9,13],[2,4,8,9,11,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4495]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4496: autom. group order 2, simple, derived
B[4496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,7,9,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4496]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4497: autom. group order 2, simple, derived
B[4497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,8,9,13],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4497]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4498: autom. group order 2, simple, derived
B[4498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4498]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4499: autom. group order 2, simple, derived
B[4499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4499]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4500: autom. group order 2, simple, derived
B[4500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,8,11,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4500]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 4501: autom. group order 2, simple, derived
B[4501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4501]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4502: autom. group order 2, simple, derived
B[4502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,6,8,10,13],[1,4,7,11,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,9,12]];
G[4502]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4503: autom. group order 2, simple, derived
B[4503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,10,11,13],[2,4,6,7,9,12],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4503]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4504: autom. group order 2, simple, derived
B[4504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4504]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4505: autom. group order 2, simple, derived
B[4505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[4505]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4506: autom. group order 2, simple, derived
B[4506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,6,8,11,13]];
G[4506]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4507: autom. group order 2, simple, derived
B[4507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,13],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[4507]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4508: autom. group order 2, simple, derived
B[4508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4508]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4509: autom. group order 2, simple, derived
B[4509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,6,7,9,10],[2,4,8,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[4,5,6,7,11,13],[4,5,6,8,10,11]];
G[4509]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4510: autom. group order 2, simple, derived
B[4510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,6,7,9,12],[2,4,8,9,10,13],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,9,13],[4,5,6,7,11,13],[4,5,6,8,10,11]];
G[4510]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4511: autom. group order 2, simple, derived
B[4511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,11,13]];
G[4511]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4512: autom. group order 2, simple, derived
B[4512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,10,11],[2,3,7,10,11,13],[2,4,6,7,9,12],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,11,13]];
G[4512]:=Group([(3,4)(7,8)(9,11)(10,12)]);
# Design 4513: autom. group order 2, simple
B[4513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,7,9,13],[1,3,7,10,12,13],[1,4,6,8,10,11],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,7,8,12,13],[2,4,8,9,10,13],[2,5,6,10,12,13],[2,5,7,9,10,11],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[4513]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 4514: autom. group order 2, simple
B[4514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,7,12,13],[1,3,7,9,10,13],[1,4,6,8,9,11],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,9,12,13],[2,5,7,9,10,11],[2,6,7,10,11,12],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,7,9,13]];
G[4514]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4515: autom. group order 2, simple
B[4515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,7,8,11,12],[1,5,8,9,10,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4515]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4516: autom. group order 2, simple
B[4516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,8,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,7,10,11,12],[1,5,8,9,10,13],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4516]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4517: autom. group order 2, simple
B[4517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,11,13],[1,3,8,11,12,13],[1,4,6,10,11,12],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,7,8,10,13],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,7,8,9,11],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,5,6,7,10,11],[3,5,7,9,11,12],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[4517]:=Group([(1,9)(2,8)(3,11)(5,6)(12,13)]);
# Design 4518: autom. group order 2, simple
B[4518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,10,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,8,11,12,13],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4518]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4519: autom. group order 2, simple
B[4519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4519]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4520: autom. group order 2, simple
B[4520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4520]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4521: autom. group order 2, simple
B[4521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4521]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4522: autom. group order 2, simple
B[4522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4522]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4523: autom. group order 2, simple
B[4523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,8,9,10,13],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4523]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4524: autom. group order 2, simple
B[4524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,8,11],[1,3,10,11,12,13],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,7,9,11,13],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4524]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4525: autom. group order 2, simple
B[4525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,8,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,7,9,12,13],[1,5,7,10,11,12],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4525]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4526: autom. group order 2, simple, derived
B[4526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,7,9,13],[1,3,8,10,11,12],[1,4,6,8,10,13],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,7,9,11,12],[2,4,7,8,9,10],[2,4,8,9,12,13],[2,5,6,10,12,13],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,7,9,12]];
G[4526]:=Group([(1,11)(2,8)(3,6)(4,9)(7,10)(12,13)]);
# Design 4527: autom. group order 2, simple
B[4527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,10,11,12,13],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,7,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,6,8,9,12],[2,3,8,11,12,13],[2,4,7,9,11,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4527]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4528: autom. group order 2, simple
B[4528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,9,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4528]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4529: autom. group order 2, simple
B[4529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,8,11],[1,3,10,11,12,13],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,7,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,7,9,11,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4529]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4530: autom. group order 2, simple
B[4530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,8,11],[1,3,10,11,12,13],[1,4,6,10,12,13],[1,4,8,9,11,12],[1,5,7,9,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,7,8,10,13],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4530]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4531: autom. group order 2, simple
B[4531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,7,9,13],[1,3,8,9,10,11],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,7,8,11,12],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,13],[2,6,7,9,11,12],[3,4,5,7,12,13],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,5,6,10,11,12],[3,5,7,10,11,13],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[4531]:=Group([(1,12)(2,6)(4,10)(5,8)(7,11)(9,13)]);
# Design 4532: autom. group order 2, simple
B[4532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,7,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,8,9,10],[3,5,7,10,12,13],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4532]:=Group([(1,8)(2,6)(3,10)(4,11)(12,13)]);
# Design 4533: autom. group order 2, simple
B[4533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,7,10,12],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,9,10,12],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4533]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4534: autom. group order 2, simple
B[4534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,6,7,8,13],[1,4,9,11,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,9,10,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4534]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4535: autom. group order 2, simple
B[4535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,7,8,11,13],[1,4,6,7,10,13],[1,4,9,11,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4535]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4536: autom. group order 2, simple
B[4536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,8,11,13],[1,4,6,7,10,12],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4536]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4537: autom. group order 2, simple
B[4537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,6,7,10,12],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4537]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4538: autom. group order 2, simple
B[4538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,12,13],[1,4,6,7,10,11],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4538]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4539: autom. group order 2, simple
B[4539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,10,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,7,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4539]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4540: autom. group order 2, simple
B[4540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,7,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4540]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4541: autom. group order 2, simple
B[4541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,8,12,13],[1,4,6,7,10,11],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,10,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,9,10,11,13],[2,4,7,9,11,13],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4541]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4542: autom. group order 2, simple
B[4542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,7,9,11,13],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,9,10,11],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[4542]:=Group([(1,9)(2,11)(5,13)(7,10)(8,12)]);
# Design 4543: autom. group order 2, simple
B[4543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,8,9,11],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,7,9,10,12],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4543]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4544: autom. group order 2, simple
B[4544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4544]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4545: autom. group order 2, simple
B[4545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4545]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4546: autom. group order 2, simple
B[4546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4546]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4547: autom. group order 2, simple
B[4547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,8,9,10,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4547]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4548: autom. group order 2, simple
B[4548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,9,10,11],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,8,9,12],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,7,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4548]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4549: autom. group order 2, simple
B[4549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4549]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4550: autom. group order 2, simple
B[4550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,7,10,11,12],[1,5,7,9,10,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4550]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4551: autom. group order 2, simple
B[4551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,7,10,11,12],[1,5,7,9,10,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4551]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4552: autom. group order 2, simple
B[4552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,11,12,13],[1,5,8,9,10,11],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,8,10,12],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4552]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4553: autom. group order 2, simple
B[4553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,11,12,13],[1,5,8,9,10,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,8,10,11],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4553]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4554: autom. group order 2, simple
B[4554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,10,11],[1,5,9,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,11,12,13],[2,4,8,9,10,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,7,8,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4554]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4555: autom. group order 2, simple
B[4555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4555]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4556: autom. group order 2, simple
B[4556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,8,11,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,9,10,11,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4556]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4557: autom. group order 2, simple
B[4557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,8,11,12],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,9,10,11,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4557]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4558: autom. group order 2, simple
B[4558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,9,11,13],[1,4,7,8,9,12],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4558]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4559: autom. group order 2, simple
B[4559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4559]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4560: autom. group order 2, simple
B[4560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,8,10,11,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4560]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4561: autom. group order 2, simple
B[4561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,8,10,11,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4561]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4562: autom. group order 2, simple
B[4562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4562]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4563: autom. group order 2, simple
B[4563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,7,8,11,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,7,11,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,8,10,11,13],[2,4,9,11,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4563]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4564: autom. group order 2, simple
B[4564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,11,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,5,6,9,10,11],[3,5,7,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4564]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4565: autom. group order 2, simple
B[4565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,5,6,9,10,11],[3,5,7,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4565]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4566: autom. group order 2, simple
B[4566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,7,11,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,8,10,11,13],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4566]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4567: autom. group order 2, simple
B[4567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,7,11,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,8,10,11,13],[2,4,9,11,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4567]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4568: autom. group order 2, simple
B[4568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,9,10,12],[1,4,7,8,9,13],[1,5,8,9,11,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,10,11,12],[2,4,8,10,12,13],[2,5,6,7,8,11],[2,5,7,9,10,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4568]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4569: autom. group order 2, simple
B[4569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,7,9,10,13],[1,5,8,9,11,12],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,10,11,12],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4569]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4570: autom. group order 2, simple
B[4570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,7,8,11,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,7,11,12,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4570]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4571: autom. group order 2, simple
B[4571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,12,13],[1,4,6,9,10,11],[1,4,7,9,12,13],[1,5,8,9,10,12],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4571]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4572: autom. group order 2, simple
B[4572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,8,10,11,13],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,7,11,12,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4572]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4573: autom. group order 2, simple
B[4573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,9,11,12],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,7,9,10,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,7,8,9],[3,5,7,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4573]:=Group([(1,9)(2,8)(3,12)(4,6)(7,11)]);
# Design 4574: autom. group order 2, simple
B[4574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,9,11,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,7,9,10,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,12,13],[3,5,6,8,9,11],[3,5,7,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4574]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4575: autom. group order 2, simple
B[4575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,8,11,12,13],[1,5,7,8,9,12],[1,5,7,8,10,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,7,9,10,11],[2,4,8,9,10,13],[2,5,6,7,11,13],[2,5,10,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4575]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4576: autom. group order 2, simple
B[4576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4576]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4577: autom. group order 2, simple
B[4577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4577]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4578: autom. group order 2, simple
B[4578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,8,11,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4578]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4579: autom. group order 2, simple
B[4579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,8,12,13],[1,4,6,8,9,11],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4579]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4580: autom. group order 2, simple
B[4580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4580]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4581: autom. group order 2, simple
B[4581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4581]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4582: autom. group order 2, simple
B[4582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,10,11,13],[2,5,7,8,10,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4582]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4583: autom. group order 2, simple
B[4583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,7,8,12,13],[3,5,6,7,9,12],[3,5,9,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4583]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4584: autom. group order 2, simple
B[4584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,8,11,12],[1,4,6,10,11,13],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,9,10,11,12],[2,4,7,8,9,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4584]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4585: autom. group order 2, simple
B[4585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,8,11,12],[1,4,6,10,12,13],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,7,9,10,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,9,10,11,12],[2,4,7,8,9,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4585]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4586: autom. group order 2, simple
B[4586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4586]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4587: autom. group order 2, simple
B[4587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4587]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4588: autom. group order 2, simple
B[4588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,11,13],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,8,10,13],[2,4,7,9,10,11],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,7,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4588]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4589: autom. group order 2, simple
B[4589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,8,10,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4589]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4590: autom. group order 2, simple
B[4590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,11,12,13],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4590]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4591: autom. group order 2, simple
B[4591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,7,8,11],[2,5,10,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4591]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4592: autom. group order 2, simple
B[4592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,11,12,13],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4592]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4593: autom. group order 2, simple
B[4593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,7,8,10,12],[2,4,7,9,11,13],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4593]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4594: autom. group order 2, simple
B[4594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,9,10,12],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4594]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4595: autom. group order 2, simple
B[4595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,9,10,11,12],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4595]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4596: autom. group order 2, simple
B[4596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,9,11,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4596]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4597: autom. group order 2, simple
B[4597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,9,12,13],[1,3,7,9,10,13],[1,4,6,8,9,11],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,9,10,11,12],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[4597]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4598: autom. group order 2, simple
B[4598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,10,12],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4598]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4599: autom. group order 2, simple
B[4599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,9,11,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4599]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4600: autom. group order 2, simple
B[4600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,9,11,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4600]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4601: autom. group order 2, simple
B[4601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,8,9,12],[3,5,6,9,11,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4601]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4602: autom. group order 2, simple
B[4602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,12,13],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,8,9,12],[3,5,6,9,11,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4602]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4603: autom. group order 2, simple
B[4603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,7,11,13],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4603]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4604: autom. group order 2, simple
B[4604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,11,13],[2,5,7,8,10,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4604]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4605: autom. group order 2, simple
B[4605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,7,11,12,13],[1,4,6,8,9,12],[1,4,9,10,11,12],[1,5,7,9,10,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4605]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4606: autom. group order 2, simple
B[4606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,8,13],[1,3,6,9,11,13],[1,3,7,11,12,13],[1,4,6,8,10,12],[1,4,8,9,10,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,7,9,11],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,8,10,12],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4606]:=Group([(1,9)(2,7)(3,12)(5,6)(8,13)]);
# Design 4607: autom. group order 2, simple, derived
B[4607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,8,10,12],[1,4,10,11,12,13],[1,5,7,8,9,12],[1,5,8,9,10,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,9,10,11,12],[2,4,7,9,12,13],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,9,13],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,10,13],[4,5,6,9,10,11]];
G[4607]:=Group([(1,9)(2,11)(3,6)(5,8)(7,10)(12,13)]);
# Design 4608: autom. group order 2, simple
B[4608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,13],[1,3,7,10,11,12],[1,4,6,9,10,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,9,11,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,6,8,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[4,5,6,7,9,12],[4,5,6,10,11,13]];
G[4608]:=Group([(1,9)(2,7)(3,12)(4,6)(10,13)]);
# Design 4609: autom. group order 2, simple
B[4609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,11,12,13],[1,4,6,7,10,12],[1,4,7,8,9,13],[1,5,7,8,11,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,8,10,12,13],[2,4,9,10,11,12],[2,5,6,8,9,11],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4609]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4610: autom. group order 2, simple
B[4610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4610]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4611: autom. group order 2, simple
B[4611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,7,12,13],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4611]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4612: autom. group order 2, simple
B[4612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,7,8,9,12],[1,5,7,11,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,8,10,12,13],[2,4,9,11,12,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4612]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4613: autom. group order 2, simple
B[4613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,7,11,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,8,10,12,13],[2,4,9,11,12,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4613]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4614: autom. group order 2, simple
B[4614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,12,13],[1,4,6,7,10,11],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,8,9,10,11],[2,4,10,11,12,13],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4614]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4615: autom. group order 2, simple
B[4615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,9,12,13],[1,4,6,7,10,11],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,10,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4615]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4616: autom. group order 2, simple
B[4616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,13],[1,4,6,7,10,12],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4616]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4617: autom. group order 2, simple
B[4617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4617]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4618: autom. group order 2, simple
B[4618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,7,8,9,13],[2,4,9,10,11,12],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4618]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4619: autom. group order 2, simple
B[4619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,9,10,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,7,8,12,13],[2,4,7,9,10,12],[2,4,9,11,12,13],[2,5,6,8,9,13],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4619]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4620: autom. group order 2, simple
B[4620]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,13],[1,4,6,7,10,12],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4620]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4621: autom. group order 2, simple
B[4621]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,9,10,11],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,7,10,12,13],[2,4,7,8,9,12],[2,4,9,11,12,13],[2,5,6,8,9,13],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4621]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4622: autom. group order 2, simple
B[4622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,7,11,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4622]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4623: autom. group order 2, simple
B[4623]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,7,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4623]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4624: autom. group order 2, simple
B[4624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,11,12,13],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,8,9,10],[3,5,7,10,12,13],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4624]:=Group([(1,8)(2,6)(3,10)(4,11)(12,13)]);
# Design 4625: autom. group order 2, simple
B[4625]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,10,11,12,13],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,7,8,11,12],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4625]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4626: autom. group order 2, simple
B[4626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,10,11,12,13],[1,4,6,10,12,13],[1,4,7,8,11,12],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,7,9,12,13],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4626]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4627: autom. group order 2, simple
B[4627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,10,11,12,13],[1,4,6,8,12,13],[1,4,7,10,11,12],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,7,9,12,13],[2,4,8,9,10,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4627]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4628: autom. group order 2, simple
B[4628]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,8,11,12,13],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,7,9,11,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4628]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4629: autom. group order 2, simple
B[4629]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,10,11,12,13],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,8,9,10,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4629]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4630: autom. group order 2, simple
B[4630]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,10,11,12,13],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,8,9,10,13],[2,4,9,10,11,12],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4630]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4631: autom. group order 2, simple
B[4631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,8,11,12,13],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,8,9,10,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4631]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4632: autom. group order 2, simple
B[4632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,8,11,12,13],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,8,9,10,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4632]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4633: autom. group order 2, simple
B[4633]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,9,10,13],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,9,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4633]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4634: autom. group order 2, simple
B[4634]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,9,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,9,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4634]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4635: autom. group order 2, simple
B[4635]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,7,8,10,11],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4635]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4636: autom. group order 2, simple
B[4636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,12],[1,4,6,10,11,13],[1,4,7,11,12,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,7,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,9,11,12,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4636]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4637: autom. group order 2, simple
B[4637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,12],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,7,9,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,9,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4637]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4638: autom. group order 2, simple
B[4638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,12],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4638]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4639: autom. group order 2, simple
B[4639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,12],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,7,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4639]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4640: autom. group order 2, simple
B[4640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,8,10,12],[1,5,7,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,8,9,10,11],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[4640]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4641: autom. group order 2, simple
B[4641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,12],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,7,8,10,12],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,8,9,10,11],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4641]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4642: autom. group order 2, simple
B[4642]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,8,10,12],[1,5,7,11,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,8,9,10,11],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4642]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4643: autom. group order 2, simple
B[4643]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,9,10,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[2,3,6,7,8,12],[2,3,10,11,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4643]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4644: autom. group order 2, simple
B[4644]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,9,11],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,7,9,12,13],[1,5,7,8,10,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,7,8,11,12],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4644]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4645: autom. group order 2, simple
B[4645]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,11,12,13],[1,4,6,8,9,11],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4645]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4646: autom. group order 2, simple
B[4646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,9,10,11,13],[1,4,6,8,9,13],[1,4,7,11,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,8,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,9,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4646]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4647: autom. group order 2, simple
B[4647]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,6,9,10,13],[1,4,7,11,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,9,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4647]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4648: autom. group order 2, simple
B[4648]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,13],[1,4,6,9,10,12],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4648]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4649: autom. group order 2, simple
B[4649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4649]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4650: autom. group order 2, simple
B[4650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,8,9,10,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4650]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4651: autom. group order 2, simple
B[4651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,10,11,12],[1,5,7,9,10,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,7,8,9,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4651]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4652: autom. group order 2, simple
B[4652]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,9,12,13],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,7,9,12,13],[1,5,10,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,7,9,11,13],[2,4,8,11,12,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4652]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4653: autom. group order 2, simple
B[4653]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,7,11,12,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,8,10,11],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4653]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4654: autom. group order 2, simple
B[4654]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4654]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4655: autom. group order 2, simple
B[4655]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4655]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4656: autom. group order 2, simple
B[4656]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,8,10,11,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4656]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4657: autom. group order 2, simple
B[4657]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,10,12,13],[1,4,6,8,9,11],[1,4,7,9,12,13],[1,5,7,8,10,11],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,8,11,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4657]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4658: autom. group order 2, simple
B[4658]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,9,11,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,8,11],[3,4,7,9,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4658]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4659: autom. group order 2, simple
B[4659]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,8,11],[3,4,7,9,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4659]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4660: autom. group order 2, simple
B[4660]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,9,12,13],[1,4,6,9,10,11],[1,4,7,9,12,13],[1,5,7,8,10,12],[1,5,10,11,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4660]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4661: autom. group order 2, simple
B[4661]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,10,11,12,13],[1,4,6,9,10,13],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,8,9,10,11],[2,4,7,9,11,12],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,8,12,13],[3,4,7,8,10,11],[3,5,6,9,11,12],[3,5,7,9,11,13],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[4661]:=Group([(1,6)(2,12)(4,9)(5,8)(7,11)(10,13)]);
# Design 4662: autom. group order 2, simple
B[4662]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,11,12,13],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,7,8,9,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,11,13],[4,5,6,9,12,13]];
G[4662]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4663: autom. group order 2, simple
B[4663]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,9,10,11,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,11,12,13],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,8,12,13],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,10,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4663]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4664: autom. group order 2, simple
B[4664]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,11,12,13],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,8,9,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4664]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4665: autom. group order 2, simple
B[4665]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,7,11,12,13],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4665]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4666: autom. group order 2, simple
B[4666]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,13],[1,4,6,9,10,12],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,10,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4666]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4667: autom. group order 2, simple
B[4667]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4667]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4668: autom. group order 2, simple
B[4668]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,12,13],[1,4,6,8,9,11],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[4668]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4669: autom. group order 2, simple
B[4669]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,7,8,9,12],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,12,13],[4,5,6,9,11,13]];
G[4669]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4670: autom. group order 2, simple
B[4670]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,9,10,11,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,8,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,11,12],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4670]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4671: autom. group order 2, simple
B[4671]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,8,9,11,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,7,9,10,12],[1,5,7,11,12,13],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,10,12,13],[2,4,7,8,9,11],[2,4,9,11,12,13],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4671]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4672: autom. group order 2, simple
B[4672]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,10,11,12],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,8,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4672]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4673: autom. group order 2, simple
B[4673]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,9,10,11,12],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,8,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[4673]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4674: autom. group order 2, simple
B[4674]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,7,8,9,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,7,9,10,13],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,8,11,13],[3,5,6,7,9,11],[3,5,9,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[4674]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4675: autom. group order 2, simple
B[4675]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,9,11,12,13],[1,5,7,8,10,11],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,7,8,9,13],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,8,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4675]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4676: autom. group order 2, simple
B[4676]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,7,8,9,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[4676]:=Group([(1,2)(4,5)(7,9)(8,10)(11,12)]);
# Design 4677: autom. group order 2, simple
B[4677]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,9,11,13],[1,3,8,9,11,12],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,8,9,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,9,10,11,13],[2,6,7,9,11,12],[3,4,5,7,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,9],[3,5,8,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4677]:=Group([(1,9)(2,7)(3,12)(4,6)(8,11)]);
# Design 4678: autom. group order 2, simple
B[4678]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,11,13],[1,3,6,9,12,13],[1,4,6,7,8,10],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[4678]:=Group([(1,9)(2,11)(3,8)(5,6)(7,13)]);
# Design 4679: autom. group order 2, simple
B[4679]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,6,8,10,12],[1,4,6,7,10,13],[1,4,9,11,12,13],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,8,9,13]];
G[4679]:=Group([(1,12)(2,7)(3,6)(4,9)(8,10)]);
# Design 4680: autom. group order 2, simple
B[4680]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,6,8,10,12],[1,4,6,7,10,13],[1,4,9,11,12,13],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,6,8,9,13]];
G[4680]:=Group([(1,12)(2,7)(3,6)(4,9)(8,10)]);
# Design 4681: autom. group order 2, simple, derived
B[4681]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,7,9,10,11],[1,5,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,7,8,9,12],[3,4,9,11,12,13],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,8,11],[4,5,6,7,10,13]];
G[4681]:=Group([(1,11)(2,8)(3,6)(4,9)(7,10)(12,13)]);
# Design 4682: autom. group order 2, simple
B[4682]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,11,13],[1,3,6,10,12,13],[1,4,6,9,11,12],[1,4,8,10,12,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,6,7,8,10],[2,4,7,10,11,13],[2,5,6,8,9,13],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4682]:=Group([(1,12)(2,9)(3,7)(5,6)(8,13)]);
# Design 4683: autom. group order 2, simple, derived
B[4683]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,10,11],[1,3,6,11,12,13],[1,4,6,8,10,13],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,7,9,11,12],[2,4,6,7,9,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,7,9,12]];
G[4683]:=Group([(1,11)(2,8)(3,6)(4,9)(7,10)(12,13)]);
# Design 4684: autom. group order 2, simple
B[4684]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,11,12,13],[1,3,6,8,9,11],[1,3,6,8,12,13],[1,4,6,7,10,11],[1,4,9,10,11,13],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,8,9,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4684]:=Group([(1,9)(2,12)(3,7)(5,6)(11,13)]);
# Design 4685: autom. group order 2, simple
B[4685]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,8,12,13],[1,3,6,10,11,13],[1,4,6,9,11,12],[1,4,8,10,12,13],[1,5,7,8,9,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,6,7,11,13],[2,3,8,9,10,12],[2,4,6,7,8,10],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,10,11,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[4685]:=Group([(1,11)(2,9)(3,8)(5,6)(7,13)]);
# Design 4686: autom. group order 2, simple
B[4686]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,8,11,13],[1,3,6,10,12,13],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,5,7,9,13],[3,4,7,8,11,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4686]:=Group([(1,10)(2,7)(3,11)(4,6)(8,9)]);
# Design 4687: autom. group order 2, simple
B[4687]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,6,10,12,13],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,6,7,9,11,12],[3,4,5,11,12,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[4687]:=Group([(1,7)(2,11)(4,6)(5,9)(8,13)]);
# Design 4688: autom. group order 2, simple
B[4688]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,9,13],[1,3,6,7,10,12],[1,4,6,9,11,13],[1,4,8,10,12,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,3,9,10,12,13],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,6,8,9,12],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,8,9,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,10,13],[4,5,7,8,9,10]];
G[4688]:=Group([(1,11)(2,8)(4,10)(5,6)(7,13)(9,12)]);
# Design 4689: autom. group order 2, simple
B[4689]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,12],[1,3,6,9,10,11],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,10,12,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[4689]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 4690: autom. group order 2, simple
B[4690]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,9,12],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,7,9,10,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,10,11,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[4690]:=Group([(1,12)(2,8)(4,13)(7,10)(9,11)]);
# Design 4691: autom. group order 2, simple
B[4691]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,3,9,10,12,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,7,12,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,7,8,9,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[4691]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 4692: autom. group order 2, simple
B[4692]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,9,12],[1,3,6,10,11,12],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,8,10,12,13],[2,3,9,10,11,13],[2,4,6,11,12,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,7,9,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[4692]:=Group([(1,12)(2,8)(4,13)(7,10)(9,11)]);
# Design 4693: autom. group order 2, simple
B[4693]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,12,13],[1,3,6,9,11,12],[1,4,6,8,10,13],[1,4,8,10,11,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,8,10,11,13],[2,3,9,10,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,5,6,8,10,12],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,9,12,13],[4,5,7,9,10,11]];
G[4693]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 4694: autom. group order 2, simple
B[4694]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,8,11,12],[1,3,6,9,10,12],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,11,12,13],[2,4,7,8,10,12],[2,5,6,7,8,9],[2,5,6,8,10,13],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[4694]:=Group([(1,12)(2,7)(4,13)(8,9)(10,11)]);
# Design 4695: autom. group order 2, simple
B[4695]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,11,12,13],[1,3,6,7,9,13],[1,3,7,8,10,11],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,5,8,9,12,13],[1,6,9,10,11,12],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,7,9,12],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,7,8,10,11]];
G[4695]:=Group([(1,7)(2,10)(3,13)(8,12)]);
# Design 4696: autom. group order 2, simple
B[4696]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,9,13],[1,3,7,10,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,7,8,9],[2,4,9,11,12,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,7,8,10,11]];
G[4696]:=Group([(1,7)(2,10)(3,13)(8,12)]);
# Design 4697: autom. group order 2, simple
B[4697]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,12],[1,3,7,9,11,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,8,10,11,12],[2,3,6,9,10,12],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,9,10,12]];
G[4697]:=Group([(1,9)(2,11)(5,13)(7,10)]);
# Design 4698: autom. group order 2, simple
B[4698]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,9,13],[1,3,7,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,8,11,13],[1,5,8,9,12,13],[1,6,9,10,11,12],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,7,9,12],[2,4,9,11,12,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,7,8,10,11]];
G[4698]:=Group([(1,7)(2,10)(3,13)(8,12)]);
# Design 4699: autom. group order 2, simple
B[4699]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,9,12],[1,3,8,10,11,13],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,9,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,9,10],[4,5,7,8,9,13]];
G[4699]:=Group([(1,7)(3,11)(4,13)(5,6)(8,9)(10,12)]);
# Design 4700: autom. group order 2, simple
B[4700]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,9,12],[1,3,8,11,12,13],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,9,10,12,13],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,9,12],[4,5,7,8,9,13]];
G[4700]:=Group([(1,7)(3,11)(4,13)(5,6)(8,9)(10,12)]);
# Design 4701: autom. group order 2, simple
B[4701]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,10,11],[1,3,10,11,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,8,11,13],[1,5,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,7,11,13],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,8,10,11,12],[2,6,7,9,10,11],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,10,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[4701]:=Group([(1,12)(2,6)(4,9)(5,8)(10,13)]);
# Design 4702: autom. group order 2, simple
B[4702]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,10,11,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,6,7,11,13],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,10,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[4702]:=Group([(1,12)(2,6)(4,9)(5,8)(10,13)]);
# Design 4703: autom. group order 2, simple
B[4703]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,10,11],[1,3,10,11,12,13],[1,4,6,9,11,13],[1,4,7,8,10,12],[1,5,6,8,10,13],[1,5,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[4703]:=Group([(1,12)(2,6)(4,9)(5,8)(10,13)]);
# Design 4704: autom. group order 2, simple
B[4704]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,10,11,12,13],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,6,8,10,13],[1,5,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,6,9,10,13],[2,4,9,11,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[4704]:=Group([(1,12)(2,6)(4,9)(5,8)(10,13)]);
# Design 4705: autom. group order 2, simple
B[4705]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,11,13],[1,3,8,9,10,13],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,8,12,13],[2,6,9,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[4705]:=Group([(2,11)(3,6)(4,13)(5,7)(8,10)(9,12)]);
# Design 4706: autom. group order 2, simple
B[4706]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,11,13],[1,3,8,9,10,13],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,6,7,8,11,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,10,12,13],[2,6,9,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,9,13],[4,5,7,8,9,11]];
G[4706]:=Group([(2,11)(3,6)(4,13)(5,7)(8,10)(9,12)]);
# Design 4707: autom. group order 2, simple
B[4707]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,11],[1,3,6,8,9,13],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,8,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,7,8,10,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,7,8,12,13],[2,5,8,9,11,13],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,8,10],[4,5,6,7,9,12]];
G[4707]:=Group([(1,6)(3,11)(5,12)(7,13)(9,10)]);
# Design 4708: autom. group order 2, simple
B[4708]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,7,9,10,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4708]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4709: autom. group order 2, simple, derived
B[4709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,7,9,10,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4709]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4710: autom. group order 2, simple
B[4710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,7,8,9,12],[1,5,8,11,12,13],[1,6,7,9,10,13],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,7,8,9,11],[2,5,7,8,10,12],[2,6,7,11,12,13],[3,4,5,7,11,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[4710]:=Group([(1,6)(3,11)(5,12)(7,10)(9,13)]);
# Design 4711: autom. group order 2, simple
B[4711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,13],[1,3,8,11,12,13],[1,4,5,10,12,13],[1,4,7,8,9,12],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,6,7,11,13],[2,4,8,9,10,13],[2,5,7,8,9,11],[2,5,7,8,12,13],[2,6,9,10,11,12],[3,4,5,8,10,11],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[4711]:=Group([(1,6)(3,11)(5,12)(8,13)(9,10)]);
# Design 4712: autom. group order 2, simple
B[4712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,7,10,12,13],[1,5,7,9,11,12],[1,6,7,8,9,11],[1,6,8,9,10,13],[2,3,6,9,12,13],[2,3,7,8,9,12],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,7,8,10,12],[2,5,7,10,11,13],[2,6,8,11,12,13],[3,4,5,8,11,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,6,9,10,12]];
G[4712]:=Group([(1,6)(3,11)(5,12)(8,10)(9,13)]);
# Design 4713: autom. group order 2, simple
B[4713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,9,13],[1,3,7,10,12,13],[1,4,5,8,10,11],[1,4,9,11,12,13],[1,5,8,9,10,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,7,8,12,13],[2,4,8,9,10,13],[2,5,6,10,12,13],[2,5,7,9,11,12],[2,6,7,9,10,11],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[4713]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 4714: autom. group order 2, simple
B[4714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,9,10,13],[1,4,5,8,9,11],[1,4,10,11,12,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,9,10,11],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,7,9,13]];
G[4714]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4715: autom. group order 2, simple
B[4715]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,9,12],[1,3,8,9,11,13],[1,4,5,8,10,13],[1,4,9,11,12,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,7,8,9,10],[2,4,8,9,12,13],[2,5,6,10,12,13],[2,5,7,9,11,12],[2,6,8,9,10,11],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,6,7,8,11],[4,5,6,7,9,13]];
G[4715]:=Group([(1,11)(2,8)(3,6)(4,9)(7,10)(12,13)]);
# Design 4716: autom. group order 2, simple
B[4716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,7,9,10,12],[1,4,5,9,12,13],[1,4,7,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[1,6,9,10,11,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[4716]:=Group([(1,12)(2,7)(3,6)(4,10)(8,13)(9,11)]);
# Design 4717: autom. group order 2, simple
B[4717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,9,10,13],[2,3,7,10,12,13],[2,4,7,8,9,10],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[4717]:=Group([(1,8)(2,4)(3,7)(5,9)(6,10)]);
# Design 4718: autom. group order 2, simple
B[4718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,7,9,10,13],[1,4,5,8,9,11],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,9,10,11,12],[2,6,7,9,10,11],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[4718]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4719: autom. group order 2, simple
B[4719]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[4719]:=Group([(1,9)(2,8)(3,12)(5,6)(7,13)]);
# Design 4720: autom. group order 2, simple
B[4720]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,8,10,13],[3,5,7,8,11,12],[4,5,6,7,11,13],[4,5,6,8,9,12]];
G[4720]:=Group([(1,9)(2,8)(3,12)(5,6)(7,13)]);
# Design 4721: autom. group order 2, simple
B[4721]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,11,12,13],[1,3,7,9,11,12],[1,4,5,8,11,13],[1,4,8,9,10,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,7,8,12,13],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,6,9,12,13]];
G[4721]:=Group([(1,7)(2,10)(3,11)(4,6)(9,12)]);
# Design 4722: autom. group order 2, simple
B[4722]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,7,9,11,12],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,9,10,13],[1,6,7,8,10,12],[1,6,8,10,11,13],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,7,8,9,13],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,10,11],[3,4,6,7,9,10],[3,4,7,11,12,13],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,6,9,11,13]];
G[4722]:=Group([(1,7)(2,10)(3,12)(4,6)(9,11)]);
# Design 4723: autom. group order 2, simple
B[4723]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,10,13],[1,3,7,9,11,12],[1,4,5,8,12,13],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,9,10,12],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,7,10,12],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4723]:=Group([(1,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 4724: autom. group order 2, simple
B[4724]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,8,10,13],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,10,12],[2,5,8,9,10,12],[2,6,7,8,12,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,10,11,13]];
G[4724]:=Group([(1,11)(3,9)(5,13)(6,12)(8,10)]);
# Design 4725: autom. group order 2, simple, derived
B[4725]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,8,11,13],[1,3,7,10,12,13],[1,4,5,11,12,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,9,10,11],[3,4,7,8,12,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,9,12,13]];
G[4725]:=Group([(1,13)(3,11)(4,10)(5,7)]);
# Design 4726: autom. group order 2, simple
B[4726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,8,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[4726]:=Group([(1,9)(2,7)(3,12)(5,6)(8,13)]);
# Design 4727: autom. group order 2, simple
B[4727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,9,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,11],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,8,10,12],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[4727]:=Group([(1,9)(2,7)(3,12)(5,6)(8,13)]);
# Design 4728: autom. group order 2, simple
B[4728]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,10,13],[1,3,7,9,11,12],[1,4,5,8,12,13],[1,4,8,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,9,10,12],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4728]:=Group([(1,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 4729: autom. group order 2, simple
B[4729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,11,12,13],[1,3,8,9,11,12],[1,4,5,8,12,13],[1,4,7,8,10,11],[1,5,7,10,11,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,8,10,11,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,8,11,12],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,7,9,10,12],[3,5,6,7,8,10],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[4729]:=Group([(1,8)(2,6)(3,10)(4,12)(7,9)]);
# Design 4730: autom. group order 2, simple, derived
B[4730]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,7,8,12,13],[2,4,8,9,10,12],[2,5,6,10,11,12],[2,5,7,8,9,10],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[4730]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4731: autom. group order 2, simple
B[4731]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,9,10,11],[1,3,8,10,12,13],[1,4,5,8,12,13],[1,4,7,9,11,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,3,7,8,11,12],[2,4,7,10,11,13],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,12,13],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,8,9,11]];
G[4731]:=Group([(1,12)(2,7)(4,11)(6,9)(10,13)]);
# Design 4732: autom. group order 2, simple
B[4732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,7,8,10,12],[1,5,8,10,11,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,6,7,11,13],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4732]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 4733: autom. group order 2, simple
B[4733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,7,8,10,12],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,8,9,10],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[4733]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4734: autom. group order 2, simple
B[4734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,8,11,12,13],[1,4,5,9,10,11],[1,4,7,8,10,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,8,9,11,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,7,8,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[4734]:=Group([(1,12)(2,7)(4,10)(6,11)(8,9)]);
# Design 4735: autom. group order 2, simple
B[4735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,8,9,12,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,8,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4735]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4736: autom. group order 2, simple, derived
B[4736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,8,9,10,12],[2,4,8,11,12,13],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,8,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4736]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4737: autom. group order 2, simple
B[4737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,10,13],[1,3,8,9,11,12],[1,4,5,8,12,13],[1,4,7,9,10,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,5,7,9,12],[3,4,6,7,11,13],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,10],[4,5,6,9,10,11]];
G[4737]:=Group([(1,12)(3,10)(5,13)(6,11)(7,9)]);
# Design 4738: autom. group order 2, simple
B[4738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,6,7,8,12],[1,3,7,9,12,13],[1,4,5,7,10,13],[1,4,10,11,12,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,7,8,10,12],[2,4,7,9,11,12],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,9,12]];
G[4738]:=Group([(1,7)(3,8)(5,10)(6,12)(9,11)]);
# Design 4739: autom. group order 2, simple
B[4739]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,9,12,13],[1,4,5,7,8,11],[1,4,10,11,12,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,11],[3,4,5,10,12,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[4739]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4740: autom. group order 2, simple
B[4740]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,6,7,11,12],[1,3,7,10,11,13],[1,4,5,11,12,13],[1,4,7,8,9,13],[1,5,7,8,9,12],[1,6,8,9,10,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,7,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4740]:=Group([(1,10)(2,8)(3,11)(5,6)(9,12)]);
# Design 4741: autom. group order 2, simple
B[4741]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,7,10,11,12],[1,4,5,8,10,12],[1,4,7,9,11,13],[1,5,8,11,12,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,9,11,12],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,8,9,11],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[4741]:=Group([(1,8)(3,7)(5,10)(6,13)(9,11)]);
# Design 4742: autom. group order 2, simple
B[4742]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,8,13],[1,3,7,9,10,11],[1,4,5,8,9,11],[1,4,7,10,12,13],[1,5,8,10,12,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,7,8,9,13],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[4742]:=Group([(1,8)(3,7)(5,9)(6,13)(10,12)]);
# Design 4743: autom. group order 2, simple
B[4743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,11,12,13],[1,4,5,7,10,12],[1,4,7,9,10,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,7,9,11,12],[2,4,8,9,12,13],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,5,8,9,11],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,6,7,11,13],[4,5,6,8,9,12]];
G[4743]:=Group([(1,9)(2,8)(3,12)(5,6)(7,13)]);
# Design 4744: autom. group order 2, simple
B[4744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,10,11],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,8,9,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,10,12],[3,4,5,7,8,12],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[4744]:=Group([(1,10)(3,9)(4,7)(6,12)(8,11)]);
# Design 4745: autom. group order 2, simple
B[4745]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,6,11,12,13],[1,3,7,9,12,13],[1,4,5,7,8,12],[1,4,7,10,11,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,10,12,13],[3,4,6,8,9,12],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,11,13]];
G[4745]:=Group([(1,7)(2,6)(3,10)(4,12)(9,11)]);
# Design 4746: autom. group order 2, simple
B[4746]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,7,9,11],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,8,9,12,13],[2,3,9,10,11,13],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,5,11,12,13],[3,4,6,8,10,12],[3,4,7,8,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[4746]:=Group([(1,12)(2,8)(4,9)(5,6)(7,13)]);
# Design 4747: autom. group order 2, simple
B[4747]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,9,13],[1,3,8,11,12,13],[1,4,5,9,10,12],[1,4,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,7,9,11,12],[2,3,9,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,8,12],[3,5,6,10,11,12],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[4747]:=Group([(1,9)(4,12)(5,10)(6,13)(8,11)]);
# Design 4748: autom. group order 2, simple
B[4748]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,7,11,13],[1,3,8,9,11,12],[1,4,5,8,10,11],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,3,8,10,12,13],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,9,11],[3,4,5,11,12,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[4748]:=Group([(1,7)(2,12)(3,6)(4,10)(8,9)]);
# Design 4749: autom. group order 2, simple
B[4749]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,7,11,13],[1,3,8,9,11,12],[1,4,5,9,10,11],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,3,8,10,12,13],[2,4,6,9,12,13],[2,4,7,9,10,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,9,11],[3,4,5,11,12,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[4,5,6,7,8,12],[4,5,7,8,10,11]];
G[4749]:=Group([(1,7)(2,12)(3,6)(4,10)(8,9)]);
# Design 4750: autom. group order 2, simple
B[4750]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,8,9,11,12],[1,5,7,9,12,13],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,7,8,10,11],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,6,8,9,11],[4,5,6,7,9,10],[4,5,7,8,11,13]];
G[4750]:=Group([(1,11)(3,10)(4,12)(5,7)(8,9)]);
# Design 4751: autom. group order 2, simple
B[4751]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,8,9,12,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,8,9,11],[2,5,10,11,12,13],[2,6,7,8,12,13],[3,4,5,8,11,12],[3,4,6,7,10,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[4751]:=Group([(1,12)(2,7)(4,9)(5,6)(8,13)]);
# Design 4752: autom. group order 2, simple
B[4752]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,8,9,12,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,6,8,9,10],[2,5,10,11,12,13],[2,6,7,8,12,13],[3,4,5,8,11,12],[3,4,6,7,10,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[4752]:=Group([(1,12)(2,7)(4,9)(5,6)(8,13)]);
# Design 4753: autom. group order 2, simple
B[4753]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,8,10,11],[1,3,7,10,12,13],[1,4,5,11,12,13],[1,4,8,9,10,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,8,9,11,12],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,7,10,11],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,6,9,11,13],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[4753]:=Group([(1,11)(2,7)(3,10)(4,5)(6,8)]);
# Design 4754: autom. group order 2, simple
B[4754]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,10,13],[1,3,7,9,11,12],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,8,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,8,10,12,13],[2,4,6,9,12,13],[2,4,7,8,9,13],[2,5,6,8,9,11],[2,5,8,9,10,12],[2,6,7,10,11,12],[3,4,5,7,8,12],[3,4,6,8,10,11],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,10,13],[4,5,7,9,10,11]];
G[4754]:=Group([(1,6)(3,12)(5,11)(7,9)(8,13)]);
# Design 4755: autom. group order 2, simple
B[4755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,7,9,11,12],[1,4,5,10,12,13],[1,4,8,9,11,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,7,8,10,11],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,6,9,10,11],[2,5,8,9,12,13],[2,6,7,11,12,13],[3,4,5,7,12,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[4755]:=Group([(1,6)(3,12)(5,11)(7,9)(10,13)]);
# Design 4756: autom. group order 2, simple
B[4756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,8,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,7,9,10,11],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,7,9,11,12],[2,5,6,8,10,11],[2,5,10,11,12,13],[2,6,7,8,12,13],[3,4,5,7,11,12],[3,4,6,8,10,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[4756]:=Group([(1,12)(2,8)(4,9)(5,6)(7,13)]);
# Design 4757: autom. group order 2, simple
B[4757]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,8,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,7,9,10,11],[2,3,8,9,12,13],[2,4,6,9,11,13],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,10,11,12,13],[2,6,7,8,12,13],[3,4,5,7,11,12],[3,4,6,8,10,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[4757]:=Group([(1,12)(2,8)(4,9)(5,6)(7,13)]);
# Design 4758: autom. group order 2, simple
B[4758]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,7,11,12,13],[1,4,5,9,10,12],[1,4,8,10,11,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[2,3,8,9,11,12],[2,3,9,10,12,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,5,7,10,13],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,6,10,11,12],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[4758]:=Group([(1,9)(4,12)(5,10)(6,13)(7,11)]);
# Design 4759: autom. group order 2, simple
B[4759]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,9,10,11,12],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,6,7,10,11],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[4759]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4760: autom. group order 2, simple
B[4760]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,5,10,11,13],[1,4,7,10,11,12],[1,5,8,9,10,12],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,6,8,9,10],[2,4,8,10,12,13],[2,5,6,7,11,12],[2,5,7,8,11,13],[2,6,9,10,11,13],[3,4,5,8,12,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,6,8,10,11],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[4760]:=Group([(1,4)(2,11)(3,10)(5,7)(6,12)(8,13)]);
# Design 4761: autom. group order 2, simple
B[4761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,11,12,13],[3,4,7,8,9,13],[3,5,6,7,10,11],[3,5,6,9,11,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[4761]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4762: autom. group order 2, simple, derived
B[4762]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,11,12,13],[3,4,7,8,9,13],[3,5,6,7,11,13],[3,5,6,9,10,11],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[4762]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4763: autom. group order 2, simple
B[4763]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,10,11,12,13],[1,4,5,9,12,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,7,8,9,11],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,9,11,12],[3,4,5,7,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,9,13],[3,5,6,8,11,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[4763]:=Group([(1,11)(3,9)(4,12)(5,7)(8,10)]);
# Design 4764: autom. group order 2, simple
B[4764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,8,10,11,13],[1,4,5,8,9,12],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,7,8,10,12],[2,3,9,10,11,12],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,7,8,11],[3,5,6,9,12,13],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[4764]:=Group([(1,12)(2,13)(4,5)(6,7)(8,9)(10,11)]);
# Design 4765: autom. group order 2, simple
B[4765]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,8,9,11],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,6,8,9,10,13],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,10,12,13],[2,4,6,7,9,10],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[4765]:=Group([(1,5)(3,9)(4,13)(6,11)(8,12)]);
# Design 4766: autom. group order 2, simple
B[4766]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,8,11,13],[1,4,5,8,10,12],[1,4,7,9,12,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,7,10,11,12],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,5,9,12,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[4766]:=Group([(1,12)(2,13)(6,9)(7,11)(8,10)]);
# Design 4767: autom. group order 2, simple
B[4767]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,8,11,13],[1,4,5,8,10,12],[1,4,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[2,3,7,10,11,12],[2,3,8,9,11,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,5,9,12,13],[3,4,6,8,9,10],[3,4,10,11,12,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,10,11],[4,5,7,8,9,11]];
G[4767]:=Group([(1,12)(2,13)(6,9)(7,11)(8,10)]);
# Design 4768: autom. group order 2, simple
B[4768]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,7,9,11,12],[1,4,5,10,12,13],[1,4,7,8,10,11],[1,5,8,11,12,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,7,8,10,12],[2,6,7,11,12,13],[3,4,5,7,12,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,8,9,13],[4,5,7,8,9,11]];
G[4768]:=Group([(1,6)(3,12)(5,11)(7,9)(10,13)]);
# Design 4769: autom. group order 2, simple
B[4769]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,13],[1,3,10,11,12,13],[1,4,5,7,8,12],[1,4,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,7,8,12,13],[2,3,7,9,11,12],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,8,9,10],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[4769]:=Group([(1,7)(4,8)(5,12)(6,13)(10,11)]);
# Design 4770: autom. group order 2, simple
B[4770]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,10,11,12,13],[1,4,5,7,8,12],[1,4,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,7,8,12,13],[2,3,7,9,10,12],[2,4,6,9,12,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,5,10,12,13],[3,4,6,8,10,11],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[4770]:=Group([(1,7)(4,8)(5,12)(6,13)(9,10)]);
# Design 4771: autom. group order 2, simple
B[4771]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,8,10,11,13],[1,4,5,7,10,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[2,3,7,8,11,12],[2,3,8,9,10,12],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,9,10],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[4771]:=Group([(1,12)(2,13)(6,9)(7,10)(8,11)]);
# Design 4772: autom. group order 2, simple
B[4772]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,9,11,12],[1,4,5,8,12,13],[1,4,7,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,10,11,12],[2,3,8,10,12,13],[2,4,6,8,10,13],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,5,7,12,13],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,6,11,12,13],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[4772]:=Group([(1,11)(2,9)(3,4)(5,13)(6,8)]);
# Design 4773: autom. group order 2, simple
B[4773]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,10,12,13],[1,3,7,9,11,12],[1,4,5,7,12,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,8,10,11,13],[2,3,7,8,12,13],[2,3,8,10,11,12],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,6,11,12,13],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[4773]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 4774: autom. group order 2, simple
B[4774]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,10,12,13],[1,3,7,9,11,12],[1,4,5,7,8,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,7,8,12,13],[2,3,8,10,11,12],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,10,12,13],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,6,8,11,13],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[4774]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 4775: autom. group order 2, simple
B[4775]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,10,11,13],[1,3,7,8,11,13],[1,4,5,7,10,12],[1,4,8,9,12,13],[1,5,7,8,10,13],[1,6,7,9,11,12],[1,6,8,9,10,12],[2,3,7,8,9,12],[2,3,8,10,11,12],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,9,10],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,8,11],[4,5,8,9,10,11]];
G[4775]:=Group([(1,12)(2,13)(6,9)(7,10)(8,11)]);
# Design 4776: autom. group order 2, simple
B[4776]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,9,13],[1,3,8,9,10,12],[1,4,5,8,10,11],[1,4,9,11,12,13],[1,5,7,10,12,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,7,8,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,6,10,12,13],[2,6,7,9,10,11],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[4776]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 4777: autom. group order 2, simple
B[4777]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,8,9,11],[1,4,10,11,12,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,6,9,12,13],[2,6,7,9,10,11],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,6,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[4777]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4778: autom. group order 2, simple
B[4778]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,11,12,13],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,8,11,12,13],[2,3,9,10,11,12],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,6,8,9,10,13],[3,4,5,8,10,11],[3,4,6,7,10,13],[3,4,6,9,12,13],[3,5,6,7,8,11],[3,5,7,9,10,13],[4,5,6,8,9,12],[4,5,7,9,11,12]];
G[4778]:=Group([(1,8)(2,6)(3,12)(4,10)(11,13)]);
# Design 4779: autom. group order 2, simple
B[4779]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,7,8,11,12],[1,4,5,10,12,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,8,12],[2,5,6,8,9,10],[2,6,7,10,12,13],[3,4,5,7,9,13],[3,4,6,7,10,13],[3,4,6,8,10,11],[3,5,6,9,11,12],[3,5,7,10,11,12],[4,5,6,8,11,13],[4,5,7,8,9,12]];
G[4779]:=Group([(1,11)(3,9)(5,13)(6,12)(8,10)]);
# Design 4780: autom. group order 2, simple
B[4780]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,8,9,11],[1,3,9,10,12,13],[1,4,5,10,11,13],[1,4,7,8,10,12],[1,5,7,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,7,8,11,13],[2,3,8,10,12,13],[2,4,8,9,11,13],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,6,7,9,10,11],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[4780]:=Group([(1,9)(2,8)(3,13)(5,6)(7,11)(10,12)]);
# Design 4781: autom. group order 2, simple
B[4781]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,9,10,11],[1,3,8,10,12,13],[1,4,5,8,12,13],[1,4,7,9,11,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,7,8,11,12],[2,3,8,9,11,13],[2,4,7,10,11,13],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,5,6,7,12,13],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[4781]:=Group([(1,12)(2,7)(4,11)(6,9)(10,13)]);
# Design 4782: autom. group order 2, simple
B[4782]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,8,11,12,13],[1,4,5,9,10,11],[1,4,7,8,10,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[2,3,7,9,10,12],[2,3,8,10,11,13],[2,4,8,9,11,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,10,13],[2,6,7,8,9,11],[3,4,5,7,8,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[4782]:=Group([(1,12)(2,7)(4,10)(6,11)(8,9)]);
# Design 4783: autom. group order 2, simple
B[4783]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,7,8,11,12],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[4783]:=Group([(1,9)(2,7)(3,13)(5,6)(10,12)]);
# Design 4784: autom. group order 2, simple
B[4784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,8,10,13],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,8,9,10],[3,4,6,10,11,13],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[4784]:=Group([(1,9)(2,7)(3,13)(5,6)(10,12)]);
# Design 4785: autom. group order 2, simple
B[4785]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,11],[1,3,7,8,12,13],[1,4,5,8,12,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,7,8,9,10],[2,4,7,10,11,12],[2,5,6,7,12,13],[2,5,6,8,10,13],[2,6,8,9,11,12],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,6,9,10,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[4785]:=Group([(1,7)(2,4)(3,8)(5,9)(6,10)]);
# Design 4786: autom. group order 2, simple
B[4786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,9,10,12],[1,4,5,7,8,11],[1,4,10,11,12,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,6,7,9,10,11],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,6,9,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[4786]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4787: autom. group order 2, simple
B[4787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,7,8,11],[1,4,10,11,12,13],[1,5,7,9,12,13],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,6,8,10,12],[2,6,7,9,11,12],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,6,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[4787]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 4788: autom. group order 2, simple, derived
B[4788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,10,13],[1,3,8,11,12,13],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4788]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4789: autom. group order 2, simple, derived
B[4789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,7,8,12,13],[2,4,9,10,11,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,11]];
G[4789]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4790: autom. group order 2, simple
B[4790]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,10,13],[2,3,7,8,10,12],[2,4,7,10,11,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,11]];
G[4790]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4791: autom. group order 2, simple, derived
B[4791]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,7,9,12,13],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,9,10,11,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[4791]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4792: autom. group order 2, simple
B[4792]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,10,13],[2,3,8,10,11,12],[2,4,7,10,11,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,7,8,13],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[4792]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4793: autom. group order 2, simple, derived
B[4793]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,7,9,10,13],[2,4,8,11,12,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,7,8,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[4793]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4794: autom. group order 2, simple
B[4794]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,9,10,12],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,9,11,13],[4,5,7,8,10,12]];
G[4794]:=Group([(1,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 4795: autom. group order 2, simple
B[4795]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,8,9,12],[1,3,9,10,11,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,7,12,13],[3,4,6,7,9,10],[3,4,8,11,12,13],[3,5,6,7,8,11],[3,5,6,10,12,13],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[4795]:=Group([(1,13)(2,12)(4,5)(6,7)(8,10)(9,11)]);
# Design 4796: autom. group order 2, simple, derived
B[4796]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,11,13],[4,5,8,9,11,12]];
G[4796]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 4797: autom. group order 2, simple
B[4797]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,8,10,11,12],[1,3,9,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,10,11,13],[2,4,9,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,8,9,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,8,9,12],[3,5,6,7,12,13],[3,5,6,8,11,13],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[4797]:=Group([(1,10)(2,7)(3,11)(8,13)(9,12)]);
# Design 4798: autom. group order 2, simple
B[4798]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,8,9,10,11],[1,3,10,11,12,13],[1,4,5,8,12,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,8,9,10,12],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,6,8,11,13],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[4798]:=Group([(1,10)(2,7)(3,11)(8,13)(9,12)]);
# Design 4799: autom. group order 2, simple
B[4799]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,8,9,11,12],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,10],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,6,8,12,13],[4,5,6,7,9,12],[4,5,8,9,11,13]];
G[4799]:=Group([(1,9)(2,7)(3,12)(8,13)(10,11)]);
# Design 4800: autom. group order 2, simple
B[4800]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,8,9,11],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,8,10,12,13],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,7,8,10,13],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,5,8,11,13],[3,4,6,8,9,10],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,7,11,13],[4,5,6,7,9,13],[4,5,8,9,11,12]];
G[4800]:=Group([(1,7)(3,8)(5,10)(6,13)(9,11)]);
# Design 4801: autom. group order 2, simple
B[4801]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,8,9,11],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,7,8,10,12],[1,6,8,9,10,13],[1,6,9,10,11,12],[2,3,6,7,10,13],[2,3,8,10,12,13],[2,4,7,9,10,11],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[4801]:=Group([(1,5)(3,9)(4,13)(6,11)(8,12)]);
# Design 4802: autom. group order 2, simple
B[4802]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,7,10,11,12],[1,3,8,9,11,12],[1,4,5,7,11,13],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,8,10,11,12],[2,4,9,11,12,13],[2,5,6,7,8,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,7,11,12],[3,5,6,9,11,13],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[4802]:=Group([(1,10)(2,8)(3,11)(5,6)(7,12)(9,13)]);
# Design 4803: autom. group order 2, simple
B[4803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,8,9,11],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,9,10,12],[2,3,10,11,12,13],[2,4,6,7,9,13],[2,4,8,9,10,13],[2,5,7,8,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,8,11,13],[3,4,7,8,10,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[4,5,6,7,9,12],[4,5,7,9,10,11]];
G[4803]:=Group([(1,8)(2,11)(4,9)(5,6)(10,13)]);
# Design 4804: autom. group order 2, simple
B[4804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,8,11,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,9,10,11,12],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,6,8,10,13],[2,4,7,8,9,12],[2,5,7,10,11,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,7,9,12],[3,4,6,11,12,13],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[4804]:=Group([(2,7)(4,8)(5,13)(6,11)(9,12)]);
# Design 4805: autom. group order 2, simple
B[4805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,7,8,10,11],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,7,8,9,13],[2,4,6,7,10,12],[2,4,7,10,11,13],[2,5,7,8,9,12],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[4805]:=Group([(1,8)(2,11)(4,10)(5,6)(9,12)]);
# Design 4806: autom. group order 2, simple
B[4806]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,8,11,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,9,10,11,12],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,6,7,9,13],[2,4,7,10,12,13],[2,5,7,8,9,10],[2,5,7,8,11,12],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,6,10,11,13],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[4806]:=Group([(2,7)(4,8)(5,13)(6,11)(9,12)]);
# Design 4807: autom. group order 2, simple
B[4807]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,7,9,11,12],[1,3,8,10,12,13],[1,4,5,7,8,13],[1,4,7,10,11,13],[1,5,6,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,7,8,11,12],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,7,9,10,12],[2,5,8,9,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,11,13],[4,5,6,7,11,12],[4,5,7,8,9,10]];
G[4807]:=Group([(1,4)(2,7)(3,8)(6,13)(9,10)]);
# Design 4808: autom. group order 2, simple
B[4808]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,7,10,11,12],[1,3,8,9,12,13],[1,4,5,7,8,13],[1,4,7,10,11,13],[1,5,6,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,7,8,11,12],[2,4,6,10,12,13],[2,4,8,9,11,12],[2,5,7,9,10,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[4,5,6,7,11,12],[4,5,7,8,9,10]];
G[4808]:=Group([(1,4)(2,7)(3,8)(6,13)(9,10)]);
# Design 4809: autom. group order 2, simple
B[4809]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,9,10,12],[1,3,8,9,11,12],[1,4,5,7,10,13],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,7,8,13],[2,3,8,10,11,13],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,5,6,8,9,13],[3,5,6,10,11,12],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[4809]:=Group([(1,12)(2,4)(3,9)(5,13)(7,10)]);
# Design 4810: autom. group order 2, simple
B[4810]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,9,10,12],[1,3,8,9,11,12],[1,4,5,7,10,13],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,10,13],[2,3,7,8,11,13],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,5,6,8,9,13],[3,5,6,10,11,12],[4,5,6,7,8,9],[4,5,8,9,10,11]];
G[4810]:=Group([(1,12)(2,4)(3,9)(5,13)(7,10)]);
# Design 4811: autom. group order 2, simple
B[4811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,8,11,13],[1,3,8,9,10,12],[1,4,5,9,12,13],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,6,7,8,10,12],[1,6,9,11,12,13],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[4,5,6,7,8,12],[4,5,7,8,9,11]];
G[4811]:=Group([(1,13)(3,8)(4,12)(6,10)(7,11)]);
# Design 4812: autom. group order 2, simple
B[4812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,10,12],[1,3,8,9,11,13],[1,4,5,8,10,13],[1,4,10,11,12,13],[1,5,6,7,9,12],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[4812]:=Group([(1,10)(3,9)(4,8)(6,11)(7,12)]);
# Design 4813: autom. group order 2, simple
B[4813]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,12,13],[1,3,10,11,12,13],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,6,8,9,10],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,7,8,9,12],[2,4,7,9,10,13],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,5,6,7,8,12],[3,5,7,8,9,11],[4,5,6,7,10,13],[4,5,7,10,11,12]];
G[4813]:=Group([(1,10)(2,7)(3,13)(5,6)(8,9)]);
# Design 4814: autom. group order 2, simple
B[4814]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,8,12,13],[1,3,9,11,12,13],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,6,8,9,10],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,9,11],[2,3,9,10,12,13],[2,4,7,8,10,12],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,10,12],[3,5,7,8,10,11],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[4814]:=Group([(1,9)(2,7)(3,13)(5,6)(8,10)]);
# Design 4815: autom. group order 2, simple, derived
B[4815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,7,10,11,12],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,7,8,12],[3,5,9,10,11,13],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[4815]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 4816: autom. group order 2, simple
B[4816]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,8,9,12,13],[1,5,6,10,11,12],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,6,8,10,12],[2,3,8,11,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,9,10,11,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,5,6,7,12,13],[3,5,7,8,10,11],[4,5,6,7,9,12],[4,5,8,10,11,12]];
G[4816]:=Group([(2,9)(4,12)(5,10)(6,13)(8,11)]);
# Design 4817: autom. group order 2, simple
B[4817]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,7,10,11,13],[1,3,8,9,12,13],[1,4,5,11,12,13],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[4817]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4818: autom. group order 2, simple
B[4818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,7,10,11,13],[1,3,8,11,12,13],[1,4,5,11,12,13],[1,4,8,9,10,13],[1,5,6,8,10,12],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,10,11]];
G[4818]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4819: autom. group order 2, simple
B[4819]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,12],[1,4,5,8,9,13],[1,4,8,9,10,12],[1,5,6,10,12,13],[1,6,7,8,11,13],[1,6,7,9,10,13],[2,3,6,8,10,13],[2,3,9,10,11,13],[2,4,7,10,12,13],[2,4,8,9,11,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,7,8,9],[3,5,8,11,12,13],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[4819]:=Group([(1,13)(2,12)(6,7)(8,9)(10,11)]);
# Design 4820: autom. group order 2, simple
B[4820]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,10,12],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,8,10,11,12],[1,5,6,9,12,13],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,3,9,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,7,12,13],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,5,6,7,8,10],[3,5,8,11,12,13],[4,5,6,9,10,11],[4,5,7,8,9,11]];
G[4820]:=Group([(1,13)(2,12)(6,7)(8,10)(9,11)]);
# Design 4821: autom. group order 2, simple
B[4821]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,9,11,12],[1,3,8,10,11,12],[1,4,5,8,9,13],[1,4,8,9,10,12],[1,5,6,10,12,13],[1,6,7,8,10,13],[1,6,7,9,11,13],[2,3,6,8,10,13],[2,3,9,10,11,13],[2,4,7,10,12,13],[2,4,8,9,11,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,7,8,9],[3,5,8,11,12,13],[4,5,6,9,10,11],[4,5,7,8,10,11]];
G[4821]:=Group([(1,13)(2,12)(6,7)(8,9)(10,11)]);
# Design 4822: autom. group order 2, simple
B[4822]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,7,8,9,12],[1,3,9,10,11,12],[1,4,5,8,10,13],[1,4,8,10,11,12],[1,5,6,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,7,12,13],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,5,6,7,8,10],[3,5,8,11,12,13],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[4822]:=Group([(1,13)(2,12)(6,7)(8,10)(9,11)]);
# Design 4823: autom. group order 2, simple
B[4823]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,8,10,11,13],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,7,9,11,12],[1,5,6,8,10,11],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,11,12,13],[3,4,6,8,9,13],[3,4,6,9,10,11],[3,5,6,7,8,12],[3,5,7,9,11,12],[4,5,6,7,10,13],[4,5,7,8,9,10]];
G[4823]:=Group([(1,10)(2,7)(3,13)(5,6)(8,11)(9,12)]);
# Design 4824: autom. group order 2, simple
B[4824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,8,9,11,12],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,8,9,11,12],[2,6,8,10,12,13],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,5,6,7,9,13],[3,5,7,8,10,11],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[4824]:=Group([(2,9)(4,12)(5,10)(6,13)(7,11)]);
# Design 4825: autom. group order 2, simple
B[4825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,8,9,11,12],[1,3,10,11,12,13],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,8,10,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,8,9,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[4,5,6,7,11,12],[4,5,8,9,10,12]];
G[4825]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 4826: autom. group order 2, simple
B[4826]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,8,11,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,9,10,11,12],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,7,9,12],[3,4,6,9,10,13],[3,4,6,11,12,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[4826]:=Group([(2,7)(4,8)(5,13)(6,11)(9,12)]);
# Design 4827: autom. group order 2, simple
B[4827]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,9,11,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,8,9,10,13],[1,5,6,7,8,10],[1,6,7,9,10,12],[1,6,8,11,12,13],[2,3,6,8,9,12],[2,3,7,8,12,13],[2,4,7,8,10,11],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,5,6,8,10,13],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,7,8,9,11]];
G[4827]:=Group([(1,13)(3,7)(4,12)(6,10)(9,11)]);
# Design 4828: autom. group order 2, simple
B[4828]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,7,9,10,11],[1,3,7,9,12,13],[1,4,5,8,9,13],[1,4,8,10,12,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,8,9,10,12],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,6,8,9,13],[3,4,6,9,11,12],[3,5,6,8,10,11],[3,5,8,11,12,13],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[4828]:=Group([(1,9)(3,10)(4,8)(6,12)(7,11)]);
# Design 4829: autom. group order 2, simple
B[4829]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,8,11,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,9,10,11,12],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,7,9,11,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,7,8,9,10],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,6,8,9,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[4829]:=Group([(2,7)(4,8)(5,13)(6,11)(9,12)]);
# Design 4830: autom. group order 2, simple
B[4830]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,10,11,12],[1,3,8,9,12,13],[1,4,5,7,12,13],[1,4,7,9,10,11],[1,5,6,8,10,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,11,13],[2,3,8,10,11,13],[2,4,7,8,10,13],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,5,6,7,9,10],[3,5,7,11,12,13],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[4830]:=Group([(1,11)(2,9)(3,8)(6,7)(10,12)]);
# Design 4831: autom. group order 2, simple
B[4831]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,7,11,12,13],[1,3,8,9,10,13],[1,4,5,7,12,13],[1,4,7,9,10,11],[1,5,6,8,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,10,11],[2,3,8,11,12,13],[2,4,7,8,10,13],[2,4,9,10,12,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,5,6,7,9,13],[3,5,7,10,11,12],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[4831]:=Group([(1,11)(2,9)(3,8)(6,7)(10,12)]);
# Design 4832: autom. group order 2, simple, derived
B[4832]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,7,10,11,12],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,7,8,12,13],[1,5,6,7,8,11],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,8,10,12],[3,5,7,9,11,13],[4,5,6,10,11,13],[4,5,7,8,9,10]];
G[4832]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 4833: autom. group order 2, simple
B[4833]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,7,11,12,13],[1,3,8,9,11,12],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,7,8,11],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,8,9,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,6,8,10,13],[3,5,7,9,10,11],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[4833]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 4834: autom. group order 2, simple
B[4834]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,8,9,11,12],[1,3,9,10,12,13],[1,4,5,8,10,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,8,9,12],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,5,8,9,11,13]];
G[4834]:=Group([(2,9)(4,12)(5,10)(6,13)(7,11)]);
# Design 4835: autom. group order 2, simple
B[4835]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,6,8,10,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,7,8,10,11],[1,6,9,10,11,12],[1,7,8,9,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[4835]:=Group([(1,7)(3,12)(5,10)(6,9)(8,11)]);
# Design 4836: autom. group order 2, simple
B[4836]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,6,10,11,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,5,10,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[4836]:=Group([(1,7)(3,12)(5,10)(6,9)(8,11)]);
# Design 4837: autom. group order 2, simple
B[4837]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,11,13],[1,3,6,8,9,12],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,7,9,11,12],[1,6,8,9,10,11],[1,7,8,10,12,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,7,8,9,10],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,6,8,11,12]];
G[4837]:=Group([(1,7)(2,4)(3,8)(5,9)(6,10)(11,12)]);
# Design 4838: autom. group order 2, simple
B[4838]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,12,13],[1,3,6,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,7,9,11,12],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,7,8,9,10],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,10,12],[4,5,6,7,8,9],[4,5,6,8,11,12]];
G[4838]:=Group([(1,7)(2,4)(3,8)(5,9)(6,10)(11,12)]);
# Design 4839: autom. group order 2, simple
B[4839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,12,13],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,7,9,11,13],[1,6,8,9,10,11],[1,7,8,10,12,13],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,6,10,12,13],[2,4,7,8,9,10],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,10,12],[4,5,6,7,8,9],[4,5,6,8,11,12]];
G[4839]:=Group([(1,7)(2,4)(3,8)(5,9)(6,10)]);
# Design 4840: autom. group order 2, simple
B[4840]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,6,8,10,12],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,8,9,11,13],[1,6,7,9,10,11],[1,7,8,10,11,12],[2,3,6,8,11,13],[2,3,9,11,12,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[4840]:=Group([(1,13)(2,10)(3,7)(8,9)]);
# Design 4841: autom. group order 2, simple
B[4841]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,6,8,10,11],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,7,9,10,11,13],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,11,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,9,10,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[4841]:=Group([(1,12)(2,10)(3,7)(8,9)]);
# Design 4842: autom. group order 2, simple
B[4842]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,6,8,10,12],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,7,9,10,11,12],[2,3,6,9,11,13],[2,3,8,11,12,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[4842]:=Group([(1,13)(2,10)(3,7)(8,9)]);
# Design 4843: autom. group order 2, simple, derived
B[4843]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,8,10,12],[1,3,6,9,12,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,8,9,10,11,12],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[4843]:=Group([(1,13)(2,8)(3,9)(7,10)]);
# Design 4844: autom. group order 2, simple
B[4844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,8,9,11,13],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4844]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 4845: autom. group order 2, simple
B[4845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,8,9,11,12],[1,7,9,10,12,13],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4845]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 4846: autom. group order 2, simple, derived
B[4846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,8,10,11],[1,3,6,9,12,13],[1,4,5,11,12,13],[1,4,6,7,10,12],[1,5,7,10,11,12],[1,6,8,9,10,13],[1,7,8,9,11,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[4846]:=Group([(1,12)(2,8)(3,9)(7,10)]);
# Design 4847: autom. group order 2, simple, derived
B[4847]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,8,10,12],[1,3,6,9,12,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,8,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[4847]:=Group([(1,13)(2,8)(3,9)(7,10)]);
# Design 4848: autom. group order 2, simple
B[4848]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,6,8,10,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,7,10,12,13],[1,6,8,9,11,12],[1,7,8,9,10,11],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,6,7,8,9],[2,5,8,9,10,12],[2,6,7,8,12,13],[3,4,5,8,11,12],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,9,11,13]];
G[4848]:=Group([(1,11)(3,10)(5,13)(6,8)(9,12)]);
# Design 4849: autom. group order 2, simple
B[4849]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,6,8,10,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[1,7,8,9,11,13],[2,3,6,8,9,11],[2,3,10,11,12,13],[2,4,6,10,11,13],[2,4,7,8,9,12],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[4849]:=Group([(2,7)(3,11)(4,13)(5,8)(6,9)]);
# Design 4850: autom. group order 2, simple
B[4850]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,8,11,12],[2,3,7,8,10,13],[2,4,6,9,10,11],[2,4,8,11,12,13],[2,5,6,7,8,9],[2,5,9,10,12,13],[2,6,7,10,12,13],[3,4,5,8,10,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4850]:=Group([(1,13)(3,10)(4,12)(5,7)(8,9)]);
# Design 4851: autom. group order 2, simple
B[4851]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,6,10,11,13],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,6,8,10,11],[2,4,8,11,12,13],[2,5,6,7,8,9],[2,5,9,10,12,13],[2,6,7,10,12,13],[3,4,5,8,10,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[4851]:=Group([(1,13)(3,10)(4,12)(5,7)(8,9)]);
# Design 4852: autom. group order 2, simple, derived
B[4852]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4852]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 4853: autom. group order 2, simple
B[4853]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,8,9,11,13],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4853]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 4854: autom. group order 2, simple
B[4854]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,8,9,11,12],[1,7,9,10,12,13],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[4854]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 4855: autom. group order 2, simple
B[4855]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,8,13],[1,3,6,7,11,13],[1,3,6,10,12,13],[1,4,5,11,12,13],[1,4,6,8,9,10],[1,5,7,9,10,12],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,7,10,12,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,6,8,10,11],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[4855]:=Group([(1,7)(2,11)(4,6)(5,9)(8,13)]);
# Design 4856: autom. group order 2, simple
B[4856]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,11],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,7,9,10,11,12],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,7,8,12,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,6,8,10,12],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,7,8,11,12],[3,5,8,9,11,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[4856]:=Group([(1,5)(2,13)(3,8)(4,9)(6,12)(7,11)]);
# Design 4857: autom. group order 2, simple
B[4857]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,6,10,12,13],[1,4,5,9,10,12],[1,4,6,7,9,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,8,9,10,11,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,8,10,13],[2,4,6,10,11,12],[2,5,6,8,9,11],[2,5,7,9,10,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,6,7,10,11],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[4857]:=Group([(1,11)(2,13)(3,4)(6,12)(7,9)]);
# Design 4858: autom. group order 2, simple
B[4858]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,6,7,8,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[1,8,9,10,12,13],[2,3,7,8,12,13],[2,3,7,9,10,13],[2,4,6,9,12,13],[2,4,6,10,11,13],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,6,7,9,10],[4,5,7,8,9,13]];
G[4858]:=Group([(1,7)(4,8)(5,13)(6,12)(9,10)]);
# Design 4859: autom. group order 2, simple
B[4859]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[1,7,8,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,6,7,10,13],[2,4,6,10,11,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,8,9,12,13],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[4859]:=Group([(1,11)(2,13)(3,4)(6,12)(8,9)]);
# Design 4860: autom. group order 2, simple
B[4860]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,8,9,10,11,12],[2,3,7,8,9,13],[2,3,7,10,11,12],[2,4,6,9,11,12],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,6,7,10,12,13],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,9,10],[4,5,7,9,11,13]];
G[4860]:=Group([(1,11)(2,13)(3,4)(6,12)(7,10)]);
# Design 4861: autom. group order 2, simple
B[4861]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,9,12],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,7,8,10,11],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,6,8,10,11],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,9,11,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,9,10,11],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,8,9,11,13]];
G[4861]:=Group([(1,13)(2,9)(3,8)(4,5)(6,11)]);
# Design 4862: autom. group order 2, simple
B[4862]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,7,9,10,12],[2,3,9,11,12,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,8,10,12],[2,6,7,8,9,13],[3,4,5,7,8,13],[3,4,6,7,10,11],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,11,12,13],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[4862]:=Group([(1,13)(3,9)(4,6)(5,11)(10,12)]);
# Design 4863: autom. group order 2, simple
B[4863]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,6,8,10,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,7,9,10,13],[1,6,8,9,11,12],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,3,10,11,12,13],[2,4,6,7,10,11],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,6,9,10,12],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,9,11,13],[4,5,7,8,10,12]];
G[4863]:=Group([(1,11)(3,10)(5,13)(6,8)(9,12)]);
# Design 4864: autom. group order 2, simple
B[4864]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,6,11,12,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,7,8,10,11],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,8,9,10,12],[2,3,8,10,11,13],[2,4,6,10,11,13],[2,4,7,8,11,12],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,6,7,9,10,13],[3,4,5,8,9,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,9,10,11,12]];
G[4864]:=Group([(1,13)(3,10)(4,6)(5,11)(8,9)]);
# Design 4865: autom. group order 2, simple
B[4865]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,6,8,10,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[1,7,8,9,11,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,6,8,11,12],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[4865]:=Group([(2,7)(3,11)(4,13)(5,8)(6,9)]);
# Design 4866: autom. group order 2, simple
B[4866]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,6,8,11,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,8,10,11,13],[1,6,7,9,11,12],[1,7,8,9,10,12],[2,3,8,9,10,11],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,6,7,8,11,13],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,10,12],[3,5,8,9,12,13],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[4866]:=Group([(1,12)(3,10)(5,13)(6,7)(9,11)]);
# Design 4867: autom. group order 2, simple
B[4867]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,6,8,11,12],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,8,9,10,13],[1,6,7,9,11,12],[1,7,8,9,10,12],[2,3,8,9,10,11],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,6,7,8,9,13],[3,4,5,7,9,12],[3,4,6,8,9,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,8,11,12,13],[4,5,6,9,10,11],[4,5,7,8,10,11]];
G[4867]:=Group([(1,12)(3,10)(5,13)(6,7)(9,11)]);
# Design 4868: autom. group order 2, simple
B[4868]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,8,13],[1,4,6,7,10,12],[1,5,8,9,12,13],[1,6,8,9,11,13],[1,7,8,10,11,12],[2,3,7,8,11,13],[2,3,7,9,12,13],[2,4,6,11,12,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,6,7,8,9,10],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,7,9,10,13]];
G[4868]:=Group([(1,7)(4,8)(5,13)(6,11)(10,12)]);
# Design 4869: autom. group order 2, simple
B[4869]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,8,13],[1,4,6,7,10,12],[1,5,8,9,10,13],[1,6,8,9,11,13],[1,7,8,10,11,12],[2,3,7,8,11,13],[2,3,7,9,12,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,6,7,8,9,10],[3,4,5,8,10,11],[3,4,6,8,12,13],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[4869]:=Group([(1,7)(4,8)(5,13)(6,11)(10,12)]);
# Design 4870: autom. group order 2, simple
B[4870]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,10,11],[1,3,6,9,12,13],[1,4,5,7,8,12],[1,4,6,7,9,13],[1,5,8,10,12,13],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,7,8,11,12],[2,3,7,10,12,13],[2,4,6,11,12,13],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,8,10,13],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[4870]:=Group([(1,7)(4,8)(5,12)(6,11)(9,13)]);
# Design 4871: autom. group order 2, simple
B[4871]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,11,13],[1,3,6,10,12,13],[1,4,5,7,8,12],[1,4,6,7,9,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[1,7,8,10,11,12],[2,3,7,8,10,13],[2,3,7,9,11,12],[2,4,6,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,6,8,12,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,9,10],[4,5,7,10,11,13]];
G[4871]:=Group([(1,11)(2,13)(3,4)(6,12)(7,9)]);
# Design 4872: autom. group order 2, simple
B[4872]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,9,11],[1,3,6,10,12,13],[1,4,5,7,8,13],[1,4,6,7,10,12],[1,5,8,9,10,13],[1,6,8,9,11,13],[1,7,8,10,11,12],[2,3,7,8,11,13],[2,3,7,9,12,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,7,9,10,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,8,9,10,11],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[4872]:=Group([(1,7)(4,8)(5,13)(6,11)(10,12)]);
# Design 4873: autom. group order 2, simple
B[4873]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,11,12],[1,3,6,10,11,13],[1,4,5,7,8,13],[1,4,6,7,9,10],[1,5,8,10,11,13],[1,6,8,9,12,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,3,7,9,10,13],[2,4,6,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,6,8,10,12],[2,6,7,10,11,13],[3,4,5,10,12,13],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,10,12],[4,5,7,9,11,13]];
G[4873]:=Group([(1,7)(4,8)(5,13)(6,12)(9,10)]);
# Design 4874: autom. group order 2, simple
B[4874]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,10,11],[1,3,6,11,12,13],[1,4,5,8,10,12],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,9,12],[2,3,7,8,12,13],[2,4,6,8,11,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,10,11,12,13],[2,7,8,9,10,11],[3,4,5,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,6,7,9,12]];
G[4874]:=Group([(1,4)(2,12)(3,10)(5,7)(6,13)(9,11)]);
# Design 4875: autom. group order 2, simple
B[4875]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,10,13],[1,3,6,8,11,12],[1,4,5,7,12,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,6,7,11,13],[2,4,6,9,10,12],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,7,8,9,10,13],[3,4,5,8,9,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,10,11,12,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[4875]:=Group([(2,12)(3,13)(5,8)(6,10)]);
# Design 4876: autom. group order 2, simple, derived
B[4876]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,10,13],[1,3,6,8,11,12],[1,4,5,7,12,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,7,8,9,10,13],[3,4,5,8,9,13],[3,4,7,8,10,11],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,10,11,12,13],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[4876]:=Group([(2,12)(3,13)(5,8)(6,10)]);
# Design 4877: autom. group order 2, simple
B[4877]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,11],[1,3,6,8,12,13],[1,4,5,9,10,13],[1,4,7,10,12,13],[1,5,8,9,11,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,9,10,11,13],[2,4,6,8,10,11],[2,4,6,9,10,12],[2,5,6,11,12,13],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,6,12,13],[3,4,8,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,7,8,9,13]];
G[4877]:=Group([(1,9)(4,13)(5,10)(6,11)(8,12)]);
# Design 4878: autom. group order 2, simple
B[4878]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,6,9,12,13],[2,4,6,10,11,12],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,6,8,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[4878]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 4879: autom. group order 2, simple, derived
B[4879]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,6,11,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,6,8,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[4879]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 4880: autom. group order 2, simple
B[4880]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,6,8,10,12],[2,4,6,9,12,13],[2,5,6,8,9,10],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,6,11,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[4880]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 4881: autom. group order 2, simple, derived
B[4881]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,6,8,12,13],[2,4,6,9,10,12],[2,5,6,8,9,10],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,6,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[4881]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 4882: autom. group order 2, simple
B[4882]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,12,13],[1,3,6,8,9,11],[1,4,5,9,10,12],[1,4,8,10,12,13],[1,5,7,9,11,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,3,9,10,11,12],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,6,11,12,13],[2,5,7,8,10,13],[2,6,7,8,9,10],[3,4,5,6,10,13],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,7,10,11,12],[4,5,6,8,9,11],[4,5,7,8,9,12]];
G[4882]:=Group([(1,9)(4,12)(5,10)(6,11)(7,13)]);
# Design 4883: autom. group order 2, simple
B[4883]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,8,9,11,12],[1,4,5,6,12,13],[1,4,7,8,9,13],[1,5,8,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,6,8,10,11],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,9,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[4883]:=Group([(1,9)(2,5)(3,10)(4,7)(6,12)]);
# Design 4884: autom. group order 2, simple
B[4884]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,8,9,11,12],[1,4,5,6,12,13],[1,4,7,8,9,13],[1,5,8,10,12,13],[1,6,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,8,10,11,12],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,9,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[4884]:=Group([(1,9)(2,5)(3,10)(4,7)(6,12)]);
# Design 4885: autom. group order 2, simple
B[4885]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,5,6,8,12],[1,4,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,7,8,9,12],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,7,9,12,13]];
G[4885]:=Group([(1,9)(2,5)(3,10)(4,7)(6,8)(11,13)]);
# Design 4886: autom. group order 2, simple
B[4886]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,10,11],[1,3,8,9,11,12],[1,4,5,6,11,13],[1,4,7,9,12,13],[1,5,10,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,6,8,10,12],[2,4,8,10,11,13],[2,5,6,8,11,12],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[4886]:=Group([(1,9)(2,5)(3,10)(4,7)(6,11)]);
# Design 4887: autom. group order 2, simple
B[4887]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,10,11],[1,3,8,9,11,12],[1,4,5,6,11,13],[1,4,7,9,12,13],[1,5,10,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,8,10,11,12],[2,5,6,8,11,12],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[4887]:=Group([(1,9)(2,5)(3,10)(4,7)(6,11)]);
# Design 4888: autom. group order 2, simple
B[4888]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,7,8,12],[1,3,9,10,11,13],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,7,9,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[4888]:=Group([(1,8)(2,9)(3,6)(4,11)(7,12)]);
# Design 4889: autom. group order 2, simple
B[4889]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,5,6,10,12],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,6,9,11,13],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,12,13],[3,4,6,7,8,9],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,7,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,13]];
G[4889]:=Group([(1,11)(2,7)(3,5)(4,12)(6,9)]);
# Design 4890: autom. group order 2, simple
B[4890]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,5,8,10,12],[3,4,6,7,8,9],[3,4,9,11,12,13],[3,5,6,7,10,11],[3,5,7,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,13]];
G[4890]:=Group([(1,11)(2,7)(3,5)(4,12)(6,9)]);
# Design 4891: autom. group order 2, simple
B[4891]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,5,8,10,12],[3,4,6,7,9,10],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,9,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[4891]:=Group([(1,11)(2,7)(3,5)(4,12)(6,9)(8,10)]);
# Design 4892: autom. group order 2, simple
B[4892]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,11,12,13],[1,3,7,8,9,12],[1,4,5,6,10,12],[1,4,9,10,12,13],[1,5,7,9,11,13],[1,6,7,8,10,13],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,8,9,11],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,11],[4,5,7,8,12,13]];
G[4892]:=Group([(1,9)(2,6)(3,11)(5,8)(12,13)]);
# Design 4893: autom. group order 2, simple
B[4893]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,6,10,13],[1,4,9,10,12,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,6,8,9,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,11],[4,5,7,8,12,13]];
G[4893]:=Group([(1,9)(2,6)(3,11)(5,8)(12,13)]);
# Design 4894: autom. group order 2, simple
B[4894]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,9,10,11,12],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,8,9,10,11],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,6,10,12,13],[2,4,7,8,9,10],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,7,8,10,12],[4,5,6,7,8,9],[4,5,8,10,11,12]];
G[4894]:=Group([(1,7)(2,4)(3,8)(5,9)(6,10)]);
# Design 4895: autom. group order 2, simple
B[4895]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,13],[1,3,7,10,12,13],[1,4,5,6,12,13],[1,4,9,10,11,13],[1,5,9,10,11,12],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,7,9,11,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[4895]:=Group([(1,13)(3,12)(4,9)(5,8)]);
# Design 4896: autom. group order 2, simple, derived
B[4896]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,13],[1,3,10,11,12,13],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,5,9,10,11,12],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,12],[2,3,7,9,11,13],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[4896]:=Group([(1,13)(3,12)(4,9)(5,8)]);
# Design 4897: autom. group order 2, simple
B[4897]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,12,13],[1,4,5,6,10,12],[1,4,7,9,11,13],[1,5,9,10,11,12],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,7,10,11],[2,3,8,9,11,12],[2,4,6,9,12,13],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,7,9,10,13],[2,6,8,10,11,12],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,7,11,12,13],[4,5,6,8,9,11],[4,5,7,8,10,11]];
G[4897]:=Group([(1,13)(2,5)(3,7)(4,12)(8,11)(9,10)]);
# Design 4898: autom. group order 2, simple
B[4898]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,9,10,11,13],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,6,8,10,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,7,9,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[4898]:=Group([(1,8)(2,9)(3,6)(4,11)(7,12)]);
# Design 4899: autom. group order 2, simple, derived
B[4899]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,8,11,12],[2,3,9,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,6,10,11,12],[3,4,7,8,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[4899]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4900: autom. group order 2, simple
B[4900]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,8,11,12],[2,3,9,10,11,13],[2,4,6,8,9,10],[2,4,7,9,12,13],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,6,10,11,12],[3,4,7,8,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[4900]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4901: autom. group order 2, simple, derived
B[4901]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,5,6,12,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,9,10,11,13],[2,4,6,8,10,11],[2,4,7,9,12,13],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,10,12],[3,4,6,10,11,12],[3,4,7,8,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[4901]:=Group([(1,13)(3,12)(4,10)(5,7)]);
# Design 4902: autom. group order 2, simple
B[4902]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,12],[1,3,7,8,10,12],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[1,6,9,10,12,13],[2,3,6,7,10,13],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,7,10,11],[4,5,7,8,10,12]];
G[4902]:=Group([(1,6)(2,7)(3,11)(4,9)(5,10)]);
# Design 4903: autom. group order 2, simple
B[4903]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,9,10,11],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,9,10,11],[3,4,6,7,8,9],[3,4,7,11,12,13],[3,5,6,9,12,13],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[4903]:=Group([(1,6)(2,7)(3,11)(4,9)(5,10)(8,12)]);
# Design 4904: autom. group order 2, simple
B[4904]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,8,10,12],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,9,10,11],[1,6,9,10,12,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,7,9,12],[3,4,7,11,12,13],[3,5,6,8,9,13],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[4904]:=Group([(1,6)(2,7)(3,11)(4,9)(5,10)]);
# Design 4905: autom. group order 2, simple
B[4905]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,6,7,8,11,13],[1,6,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,5,11,12,13],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,8,10],[3,5,6,7,11,12],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[4905]:=Group([(1,7)(2,4)(3,12)(5,9)(8,11)]);
# Design 4906: autom. group order 2, simple
B[4906]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,9,11],[1,3,6,11,12,13],[1,3,7,8,10,12],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,8,9,10,11],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,8,9,11],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,7,11,12],[4,5,7,8,9,13],[4,5,7,10,11,12]];
G[4906]:=Group([(1,9)(2,8)(3,6)(5,11)(7,12)]);
# Design 4907: autom. group order 2, simple
B[4907]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,11,13],[1,3,7,8,10,12],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,7,8,9,11],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,6,7,8,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,8,9,11],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,6,9,12,13],[4,5,7,8,9,13],[4,5,7,10,11,12]];
G[4907]:=Group([(1,9)(2,8)(3,6)(5,11)(7,12)]);
# Design 4908: autom. group order 2, simple
B[4908]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,6,7,8,12],[1,5,6,8,12,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,6,8,10,13],[2,3,6,11,12,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,7,8,11,12],[2,5,8,9,10,12],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[4908]:=Group([(1,9)(2,11)(3,8)(5,6)(7,13)]);
# Design 4909: autom. group order 2, simple
B[4909]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,8,9,13],[1,4,5,11,12,13],[1,4,6,7,8,10],[1,5,6,8,12,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,3,6,10,11,13],[2,4,6,7,9,12],[2,4,8,10,12,13],[2,5,7,8,10,11],[2,5,8,9,10,12],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[4909]:=Group([(1,9)(2,11)(3,8)(5,6)(7,13)]);
# Design 4910: autom. group order 2, simple, derived
B[4910]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,6,8,9,11]];
G[4910]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4911: autom. group order 2, simple
B[4911]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,6,10,12,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[4911]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4912: autom. group order 2, simple, derived
B[4912]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,6,7,9,10],[2,4,7,8,11,12],[2,5,8,9,12,13],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,7,9,13],[4,5,6,8,9,11]];
G[4912]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4913: autom. group order 2, simple
B[4913]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,6,7,11,12],[2,4,7,8,9,10],[2,5,8,9,12,13],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,6,8,9,11]];
G[4913]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4914: autom. group order 2, simple, derived
B[4914]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,8,10,13],[1,5,6,7,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,6,10,12,13],[2,4,6,7,11,12],[2,4,7,9,10,13],[2,5,8,9,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[4914]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4915: autom. group order 2, simple, derived
B[4915]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,6,7,9,10],[2,4,8,11,12,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,8,9,10,13],[4,5,6,7,9,13],[4,5,6,8,9,11]];
G[4915]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4916: autom. group order 2, simple, derived
B[4916]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,6,8,12,13],[2,4,6,7,9,13],[2,4,8,10,11,12],[2,5,7,8,10,12],[2,5,9,11,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,10],[4,5,6,7,11,12]];
G[4916]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4917: autom. group order 2, simple, derived
B[4917]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,6,8,12,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,7,8,9,12],[2,5,10,11,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,6,7,11,12]];
G[4917]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4918: autom. group order 2, simple
B[4918]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,7,8,9,10],[2,5,10,11,12,13],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[4918]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4919: autom. group order 2, simple
B[4919]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,6,8,12,13],[2,4,6,8,9,11],[2,4,7,9,12,13],[2,5,7,8,10,12],[2,5,10,11,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,6,7,11,12]];
G[4919]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4920: autom. group order 2, simple, derived
B[4920]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,8,9,10],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,6,8,9,11],[2,4,7,9,10,13],[2,5,7,8,10,12],[2,5,10,11,12,13],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[4920]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4921: autom. group order 2, simple
B[4921]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,7,11,12],[1,4,6,7,8,10],[1,5,6,8,12,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[4921]:=Group([(1,9)(2,11)(3,8)(5,6)(7,13)]);
# Design 4922: autom. group order 2, simple
B[4922]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,10,11,13],[1,3,7,8,9,13],[1,4,5,7,10,11],[1,4,6,7,8,12],[1,5,6,8,12,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,7,8,9,10],[2,5,7,8,11,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[4922]:=Group([(1,9)(2,11)(3,8)(5,6)(7,13)]);
# Design 4923: autom. group order 2, simple
B[4923]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,8,12],[1,3,7,10,12,13],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,5,6,8,10,11],[1,6,7,9,11,13],[1,8,9,10,11,12],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,6,8,12,13],[2,4,6,10,11,12],[2,5,7,8,11,12],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,5,9,11,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,9,10],[4,5,7,8,10,13]];
G[4923]:=Group([(1,12)(2,5)(3,7)(4,11)(6,8)(10,13)]);
# Design 4924: autom. group order 2, simple
B[4924]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,7,9,12,13],[1,4,5,9,10,12],[1,4,6,10,12,13],[1,5,6,7,8,13],[1,6,8,9,10,11],[1,7,8,10,11,12],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,6,7,9,11],[2,4,6,8,10,13],[2,5,7,9,10,13],[2,5,8,9,11,12],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,6,7,10,11],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[4924]:=Group([(1,11)(2,13)(3,4)(6,12)(7,9)]);
# Design 4925: autom. group order 2, simple
B[4925]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,10,11,12],[1,3,8,9,12,13],[1,4,5,8,11,13],[1,4,6,9,11,12],[1,5,6,7,8,12],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,6,8,12,13],[2,4,6,10,11,13],[2,5,7,9,11,12],[2,5,8,10,11,12],[2,6,7,8,9,10],[3,4,5,7,10,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,6,9,11,13],[4,5,6,8,9,10],[4,5,7,9,12,13]];
G[4925]:=Group([(1,5)(3,10)(4,12)(6,13)(7,11)]);
# Design 4926: autom. group order 2, simple
B[4926]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,6,10,11,12],[1,6,7,8,10,11],[1,7,8,9,11,13],[2,3,6,8,9,11],[2,3,10,11,12,13],[2,4,6,7,8,12],[2,4,6,10,11,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[4926]:=Group([(2,7)(3,11)(4,13)(5,8)(6,9)]);
# Design 4927: autom. group order 2, simple
B[4927]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,7,8,12,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,6,8,11,13],[1,6,8,9,10,11],[1,7,9,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,7,8,9,10],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[4927]:=Group([(2,9)(3,11)(4,10)(5,12)(6,7)]);
# Design 4928: autom. group order 2, simple
B[4928]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,9,11,12],[1,3,7,8,11,13],[1,4,5,8,11,12],[1,4,6,7,10,13],[1,5,6,8,9,13],[1,6,8,10,12,13],[1,7,9,10,11,12],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,6,8,11,12],[2,4,6,9,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,10,12,13],[3,4,7,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,7,9,11,13]];
G[4928]:=Group([(1,9)(2,12)(4,7)(5,6)(10,11)]);
# Design 4929: autom. group order 2, simple, derived
B[4929]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,6,8,11,12],[2,4,6,9,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[4929]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4930: autom. group order 2, simple, derived
B[4930]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,6,7,11,12],[2,4,6,9,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,6,7,11,12],[4,5,6,8,9,11],[4,5,7,10,12,13]];
G[4930]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4931: autom. group order 2, simple, derived
B[4931]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,10,12],[2,4,6,7,9,10],[2,4,6,8,11,12],[2,5,8,9,12,13],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[4931]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4932: autom. group order 2, simple, derived
B[4932]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,10,12],[2,4,6,7,11,12],[2,4,6,8,9,10],[2,5,8,9,12,13],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[4932]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4933: autom. group order 2, simple
B[4933]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,7,8,10,13],[1,4,5,8,10,12],[1,4,6,8,11,13],[1,5,6,7,12,13],[1,6,8,9,10,11],[1,7,9,10,11,12],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,6,7,10,12],[2,4,6,10,11,13],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,8,9,12,13]];
G[4933]:=Group([(2,9)(3,11)(4,10)(5,12)(6,7)]);
# Design 4934: autom. group order 2, simple, derived
B[4934]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,7,9,10],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[4934]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4935: autom. group order 2, simple, derived
B[4935]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,7,11,12],[2,4,6,8,9,10],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[4935]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 4936: autom. group order 2, simple, derived
B[4936]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,8,11,12],[2,5,7,8,10,12],[2,5,10,11,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,9,10],[4,5,7,9,11,12]];
G[4936]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4937: autom. group order 2, simple, derived
B[4937]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,7,9,13],[2,4,6,8,11,12],[2,5,7,8,10,12],[2,5,9,11,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,9,10],[4,5,7,10,11,12]];
G[4937]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4938: autom. group order 2, simple, derived
B[4938]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,7,12,13],[2,4,6,8,9,11],[2,5,7,8,10,12],[2,5,9,11,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,7,10,11,12]];
G[4938]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4939: autom. group order 2, simple, derived
B[4939]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,9,12],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,11],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,9,11],[4,5,8,9,10,13]];
G[4939]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4940: autom. group order 2, simple, derived
B[4940]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,5,7,8,9,12],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,11],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,6,8,9,11],[4,5,6,7,11,12],[4,5,8,9,10,13]];
G[4940]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 4941: autom. group order 2, simple
B[4941]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,6,7,8,10,11],[1,7,9,10,11,12],[2,3,6,10,11,12],[2,3,7,10,12,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,5,7,8,11,12],[2,5,8,9,10,13],[2,6,8,9,12,13],[3,4,5,11,12,13],[3,4,7,8,9,10],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[4941]:=Group([(1,11)(2,13)(3,4)(6,12)(8,9)]);
# Design 4942: autom. group order 2, simple
B[4942]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,11,12,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,5,7,8,13],[1,4,6,7,11,12],[1,5,6,8,10,13],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,6,7,11,13],[2,3,7,8,9,13],[2,4,6,8,9,12],[2,4,6,10,12,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,8,10,12,13],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,7,9,11,13]];
G[4942]:=Group([(1,7)(4,8)(5,13)(6,9)(10,11)]);
# Design 4943: autom. group order 2, simple
B[4943]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,5,10,11,13],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,9,11,12],[1,4,6,9,10,13],[1,5,6,8,12,13],[1,6,7,8,9,11],[1,7,8,10,11,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,8,10,13],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,9,10,11],[3,5,7,11,12,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[4943]:=Group([(1,12)(2,7)(3,10)(4,6)(8,9)(11,13)]);
# Design 4944: autom. group order 2, simple
B[4944]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,5,10,11,13],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,6,8,12,13],[1,6,7,8,9,11],[1,7,9,10,11,13],[2,3,6,9,10,13],[2,3,8,11,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,10,12],[4,5,7,8,9,13]];
G[4944]:=Group([(1,12)(2,7)(3,10)(4,6)(8,9)(11,13)]);
# Design 4945: autom. group order 2, simple
B[4945]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,5,10,11,13],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,9,11,12],[1,6,7,8,9,11],[1,7,8,10,11,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,9,10,11],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,11,12,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[4945]:=Group([(1,12)(2,7)(3,10)(4,6)(8,9)(11,13)]);
# Design 4946: autom. group order 2, simple
B[4946]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,9,10],[4,5,7,8,10,11]];
G[4946]:=Group([(1,12)(3,10)(5,13)(7,11)(8,9)]);
# Design 4947: autom. group order 2, simple
B[4947]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,7,8,10,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,8,9,12,13],[1,7,9,10,11,12],[2,3,6,9,10,12],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[4947]:=Group([(1,13)(2,5)(3,7)(4,12)(8,10)]);
# Design 4948: autom. group order 2, simple
B[4948]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,7,8,10,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,8,9,12,13],[1,7,9,10,11,12],[2,3,6,8,9,12],[2,3,9,10,11,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,10,12,13],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[4948]:=Group([(1,13)(2,5)(3,7)(4,12)(8,10)]);
# Design 4949: autom. group order 2, simple
B[4949]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,8,11,13],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,6,8,9,12,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,8,10,11,13],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[4949]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4950: autom. group order 2, simple
B[4950]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,8,11,13],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,6,8,9,10,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,8,11,12,13],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[4950]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4951: autom. group order 2, simple
B[4951]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,13],[1,3,7,9,11,12],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,6,8,9,11,13],[1,7,8,10,12,13],[2,3,6,10,11,13],[2,3,9,10,12,13],[2,4,6,9,11,12],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,9,10],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[4951]:=Group([(1,12)(3,9)(5,13)(6,8)(7,11)]);
# Design 4952: autom. group order 2, simple
B[4952]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,13],[1,4,5,10,12,13],[1,4,6,7,8,9],[1,5,6,8,11,12],[1,6,8,9,12,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[4952]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4953: autom. group order 2, simple
B[4953]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,10,11,12],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,7,8,11],[1,6,8,10,11,13],[1,7,8,9,12,13],[2,3,6,8,11,12],[2,3,7,8,10,13],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,11,12,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[4953]:=Group([(1,11)(2,9)(3,4)(5,13)(7,10)]);
# Design 4954: autom. group order 2, simple
B[4954]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,11,12],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,5,6,8,11,13],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,9,10,11],[3,5,7,8,10,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[4954]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 4955: autom. group order 2, simple
B[4955]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,6,10,11,12],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,7,8,9],[2,5,7,8,12,13],[2,6,8,9,11,13],[3,4,5,9,12,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[4955]:=Group([(1,12)(3,10)(5,13)(7,11)(8,9)]);
# Design 4956: autom. group order 2, simple
B[4956]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,10,11,12],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,8,10,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[4956]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 4957: autom. group order 2, simple, derived
B[4957]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,10,11,12],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,6,7,9,10],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,8,10,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[4957]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 4958: autom. group order 2, simple
B[4958]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,10,11,12],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,11,12,13],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,6,10,12,13],[2,4,7,9,11,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[4958]:=Group([(1,11)(2,9)(3,4)(5,13)(7,10)]);
# Design 4959: autom. group order 2, simple
B[4959]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,12],[1,3,10,11,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,5,6,8,12,13],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,6,8,9,12],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,7,8,12,13]];
G[4959]:=Group([(1,6)(2,10)(3,11)(5,8)(12,13)]);
# Design 4960: autom. group order 2, simple
B[4960]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,13],[1,3,10,11,12,13],[1,4,5,9,10,12],[1,4,6,8,10,11],[1,5,6,8,12,13],[1,6,7,9,11,12],[1,7,8,9,10,13],[2,3,6,11,12,13],[2,3,7,8,10,12],[2,4,6,8,9,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,7,8,12,13]];
G[4960]:=Group([(1,6)(2,10)(3,11)(5,8)(12,13)]);
# Design 4961: autom. group order 2, simple, derived
B[4961]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,11,13],[1,3,8,10,12,13],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,10,11],[3,4,6,8,12,13],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,5,7,9,12,13]];
G[4961]:=Group([(1,13)(3,11)(4,10)(5,8)]);
# Design 4962: autom. group order 2, simple
B[4962]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,10,11],[1,3,8,10,12,13],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,9,11,12],[2,3,10,11,12,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[4962]:=Group([(1,11)(2,8)(3,10)(4,5)(6,7)]);
# Design 4963: autom. group order 2, simple
B[4963]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,12],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,6,8,9,13],[1,6,7,9,12,13],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,6,10,12,13],[2,4,7,8,9,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[4963]:=Group([(1,10)(2,12)(3,8)(4,5)(6,9)(11,13)]);
# Design 4964: autom. group order 2, simple
B[4964]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,6,8,9,12],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,10,11,12],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,7,9,12],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,13],[4,5,8,9,10,11]];
G[4964]:=Group([(1,10)(2,11)(3,8)(4,5)(6,9)(12,13)]);
# Design 4965: autom. group order 2, simple
B[4965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,10,11,13],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,8,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[4965]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4966: autom. group order 2, simple
B[4966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,8,10,11,13],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,6,7,9,10,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[4966]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4967: autom. group order 2, simple
B[4967]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,12,13],[1,3,7,9,12,13],[1,4,5,10,11,13],[1,4,6,7,9,10],[1,5,6,9,11,12],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,6,7,10,13],[2,3,9,10,11,12],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,12,13],[4,5,7,8,9,10]];
G[4967]:=Group([(1,11)(2,10)(5,12)(7,13)]);
# Design 4968: autom. group order 2, simple
B[4968]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,11,12,13],[1,3,7,8,9,12],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,6,7,10,12],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[4968]:=Group([(1,12)(3,10)(5,13)(7,11)(8,9)]);
# Design 4969: autom. group order 2, simple
B[4969]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,9,12,13],[1,5,6,7,8,13],[1,6,8,9,10,11],[1,7,8,9,11,12],[2,3,6,9,11,12],[2,3,7,8,9,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,9,10],[4,5,7,9,11,13]];
G[4969]:=Group([(1,11)(2,13)(3,4)(6,12)(7,10)]);
# Design 4970: autom. group order 2, simple
B[4970]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,9,10,11],[1,3,7,8,9,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,7,9,12],[1,6,8,9,11,12],[1,7,8,10,11,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,6,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,9,10,12,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[4970]:=Group([(1,10)(3,9)(4,8)(6,11)(7,12)]);
# Design 4971: autom. group order 2, simple
B[4971]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,7,9,11,13],[1,4,5,9,10,12],[1,4,6,11,12,13],[1,5,6,7,10,13],[1,6,8,9,10,11],[1,7,8,10,12,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[4971]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 4972: autom. group order 2, simple
B[4972]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,7,9,11,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,6,7,10,13],[1,6,9,10,11,12],[1,7,8,10,12,13],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,8,11,12,13],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[4972]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 4973: autom. group order 2, simple
B[4973]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,12,13],[1,3,7,9,12,13],[1,4,5,10,11,13],[1,4,6,9,10,13],[1,5,6,9,11,12],[1,6,7,8,9,10],[1,7,8,10,11,12],[2,3,6,7,10,13],[2,3,9,10,11,12],[2,4,6,7,9,11],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,8,9,11,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,12,13],[4,5,7,8,9,10]];
G[4973]:=Group([(1,11)(2,10)(5,12)(7,13)]);
# Design 4974: autom. group order 2, simple
B[4974]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,7,8,9,10,13],[2,3,6,7,8,9],[2,3,8,10,12,13],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,8,9,10,11],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,10,11]];
G[4974]:=Group([(1,12)(3,10)(5,13)(7,11)(8,9)]);
# Design 4975: autom. group order 2, simple
B[4975]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,7,8,11,13],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,6,7,9,10,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,8,11,12,13],[4,5,6,7,8,9],[4,5,8,9,10,11]];
G[4975]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4976: autom. group order 2, simple, derived
B[4976]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,11,12,13],[1,3,8,9,10,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,6,10,11,12],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,7,9,12],[2,3,7,10,11,13],[2,4,6,9,10,11],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,8,10,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[4976]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 4977: autom. group order 2, simple
B[4977]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,8,10,11,13],[1,4,5,10,12,13],[1,4,6,7,8,9],[1,5,6,8,11,12],[1,6,7,9,10,13],[1,7,9,10,11,12],[2,3,6,9,11,12],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,8,9,10],[4,5,8,9,11,12]];
G[4977]:=Group([(1,5)(3,9)(4,13)(6,11)]);
# Design 4978: autom. group order 2, simple
B[4978]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,12],[1,3,8,9,12,13],[1,4,5,9,10,13],[1,4,6,8,10,12],[1,5,6,7,12,13],[1,6,7,9,10,11],[1,7,8,10,11,13],[2,3,6,7,11,13],[2,3,7,9,10,12],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,8,9,12,13],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,4,7,8,9,13],[3,5,6,7,10,13],[3,5,8,10,11,12],[4,5,6,7,8,9],[4,5,7,9,11,12]];
G[4978]:=Group([(1,11)(2,12)(3,5)(6,13)(8,9)]);
# Design 4979: autom. group order 2, simple
B[4979]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,11,12,13],[1,3,8,9,11,12],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,6,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,8,9,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,5,6,9,10,11],[3,5,7,8,10,13],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[4979]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 4980: autom. group order 2, simple
B[4980]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,8,9,11,13],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,6,7,8,10],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,8,10,11],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,10,11,13],[2,6,7,9,11,13],[3,4,5,7,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,8,9,11,12]];
G[4980]:=Group([(1,12)(2,9)(3,8)(4,5)(6,11)]);
# Design 4981: autom. group order 2, simple
B[4981]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,8,9,10],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,7,9,12,13]];
G[4981]:=Group([(2,9)(3,11)(4,10)(5,12)(7,8)]);
# Design 4982: autom. group order 2, simple
B[4982]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,7,9,11],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,7,11,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[4982]:=Group([(2,9)(3,11)(4,10)(5,12)(7,8)]);
# Design 4983: autom. group order 2, simple
B[4983]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[4983]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 4984: autom. group order 2, simple
B[4984]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,8,13],[4,5,7,9,11,12]];
G[4984]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 4985: autom. group order 2, simple, derived
B[4985]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,7,9,11,13]];
G[4985]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 4986: autom. group order 2, simple, derived
B[4986]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[4986]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 4987: autom. group order 2, simple
B[4987]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,7,8,12],[2,3,9,11,12,13],[2,4,6,8,9,10],[2,4,8,10,11,13],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,5,8,9,10,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[4987]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 4988: autom. group order 2, simple
B[4988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,7,10,13],[2,3,10,11,12,13],[2,4,6,8,11,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,5,7,8,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,8,9,10,11],[4,5,6,7,10,12],[4,5,7,9,11,13]];
G[4988]:=Group([(2,11)(3,6)(4,12)(5,7)(8,10)]);
# Design 4989: autom. group order 2, simple
B[4989]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,9,10,13],[2,3,7,8,10,12],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[4989]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 4990: autom. group order 2, simple, derived
B[4990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[4990]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 4991: autom. group order 2, simple
B[4991]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,11,12,13],[2,3,7,8,9,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,9,10,12,13],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[4991]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 4992: autom. group order 2, simple, derived
B[4992]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,9,12,13],[2,3,7,8,11,12],[2,4,6,8,10,11],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,7,9,12],[3,4,6,9,11,13],[3,4,7,10,11,13],[3,5,6,8,10,12],[3,5,8,9,11,13],[4,5,6,7,11,12],[4,5,7,8,9,10]];
G[4992]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 4993: autom. group order 2, simple, derived
B[4993]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,6,8,9,10],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,9,10,12,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,8,9,11,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[4993]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 4994: autom. group order 2, simple
B[4994]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,9,10,11,13],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,12],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[4994]:=Group([(2,11)(3,6)(4,12)(5,7)(8,10)]);
# Design 4995: autom. group order 2, simple
B[4995]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,9,11,13],[1,6,7,8,10,11],[1,7,8,9,10,13],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,7,10,11,12],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,9,10,12,13],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,7,9,10,12],[4,5,6,7,8,9],[4,5,8,11,12,13]];
G[4995]:=Group([(1,11)(2,9)(5,13)(6,7)(8,10)]);
# Design 4996: autom. group order 2, simple
B[4996]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,11,12,13],[2,3,8,9,10,13],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,11,12],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[4996]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 4997: autom. group order 2, simple
B[4997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,9,10,11,13],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,9,10,12],[4,5,6,7,8,9],[4,5,8,9,11,12]];
G[4997]:=Group([(2,11)(3,6)(4,12)(5,7)(8,10)]);
# Design 4998: autom. group order 2, simple
B[4998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,6,7,8,9],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[4998]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 4999: autom. group order 2, simple
B[4999]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,6,7,8,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,7,9,12],[3,4,6,9,11,13],[3,4,7,10,11,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[4999]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 5000: autom. group order 2, simple
B[5000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[5000]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 5001: autom. group order 2, simple, derived
B[5001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,5,7,8,11,13]];
G[5001]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 5002: autom. group order 2, simple, derived
B[5002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,6,7,8,9],[2,4,8,10,11,13],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[5002]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 5003: autom. group order 2, simple, derived
B[5003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,8,9,12,13],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,10,11,12,13],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[5003]:=Group([(1,12)(2,7)(3,9)(4,6)(8,13)(10,11)]);
# Design 5004: autom. group order 2, simple, derived
B[5004]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,8,10,12],[2,3,9,10,11,13],[2,4,6,7,10,13],[2,4,8,11,12,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,8,9,10,11]];
G[5004]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 5005: autom. group order 2, simple
B[5005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,11,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,6,9,10,11],[1,5,6,9,12,13],[1,6,7,8,9,10],[1,7,8,10,12,13],[2,3,6,8,10,11],[2,3,9,10,12,13],[2,4,6,8,9,12],[2,4,7,8,9,13],[2,5,6,7,10,13],[2,5,8,10,11,13],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,11]];
G[5005]:=Group([(1,12)(2,10)(5,13)(8,11)]);
# Design 5006: autom. group order 2, simple
B[5006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,11,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,6,8,9,10],[1,5,6,9,12,13],[1,6,7,9,10,11],[1,7,8,10,12,13],[2,3,6,8,10,11],[2,3,9,10,12,13],[2,4,6,9,11,12],[2,4,7,8,9,13],[2,5,6,7,10,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,11]];
G[5006]:=Group([(1,12)(2,10)(5,13)(8,11)]);
# Design 5007: autom. group order 2, simple
B[5007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,9,10,13],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,9,11,12,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,8,9,10,11]];
G[5007]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 5008: autom. group order 2, simple
B[5008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[5008]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5009: autom. group order 2, simple, derived
B[5009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,6,9,10,13],[2,4,8,11,12,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,5,6,7,11,12],[3,5,8,9,10,13],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[5009]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5010: autom. group order 2, simple, derived
B[5010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[5010]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5011: autom. group order 2, simple
B[5011]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,10,11],[1,3,7,9,11,13],[1,4,5,8,9,13],[1,4,6,7,8,10],[1,5,6,8,12,13],[1,6,9,10,12,13],[1,7,8,10,11,12],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,4,8,9,11,12],[3,5,6,8,11,12],[3,5,7,8,10,13],[4,5,6,7,10,11],[4,5,7,9,11,13]];
G[5011]:=Group([(1,9)(3,10)(4,8)(6,11)(7,12)]);
# Design 5012: autom. group order 2, simple, derived
B[5012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,6,11,12,13],[2,4,8,9,10,13],[2,5,6,7,9,12],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[5012]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5013: autom. group order 2, simple, derived
B[5013]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[5013]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5014: autom. group order 2, simple
B[5014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,6,10,11,13],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5014]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5015: autom. group order 2, simple, derived
B[5015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,6,9,10,13],[2,4,8,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,5,6,7,11,12],[3,5,8,9,10,13],[4,5,6,8,9,11],[4,5,7,10,12,13]];
G[5015]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5016: autom. group order 2, simple, derived
B[5016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[5016]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5017: autom. group order 2, simple
B[5017]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,11,12,13],[2,4,8,9,10,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5017]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5018: autom. group order 2, simple
B[5018]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,10,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,8,9,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,6,8,9,10],[2,5,8,11,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[5018]:=Group([(2,9)(3,11)(4,10)(5,12)(6,8)]);
# Design 5019: autom. group order 2, simple
B[5019]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,6,11,12,13],[3,5,7,9,10,13],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[5019]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5020: autom. group order 2, simple, derived
B[5020]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,8,10,11,12],[2,4,6,11,12,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,6,9,10,13],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[5020]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5021: autom. group order 2, simple, derived
B[5021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,10,12],[2,4,6,7,9,10],[2,4,8,11,12,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,8,9,10,13],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[5021]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5022: autom. group order 2, simple
B[5022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,13],[1,3,7,8,12,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,6,7,9,12],[1,6,8,10,11,12],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,9,10,12,13],[4,5,6,7,11,12],[4,5,7,8,10,13]];
G[5022]:=Group([(1,6)(2,7)(3,12)(4,9)(8,13)(10,11)]);
# Design 5023: autom. group order 2, simple, derived
B[5023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,10,12],[2,4,6,8,9,10],[2,4,8,11,12,13],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,8,11,12],[3,5,8,9,10,13],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[5023]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5024: autom. group order 2, simple, derived
B[5024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,7,9,10],[2,4,7,8,11,12],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[5024]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5025: autom. group order 2, simple
B[5025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,7,11,12],[2,4,7,8,9,10],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[5025]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5026: autom. group order 2, simple, derived
B[5026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,8,10,13],[1,5,6,7,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,7,11,12],[2,4,7,9,10,13],[2,5,6,10,11,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5026]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5027: autom. group order 2, simple, derived
B[5027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,10],[2,4,7,8,11,12],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[5027]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5028: autom. group order 2, simple
B[5028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,8,11,12],[2,4,7,8,9,10],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,8,9,10],[3,5,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[5028]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5029: autom. group order 2, simple, derived
B[5029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,8,10,13],[1,5,6,7,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,11,12,13],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5029]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5030: autom. group order 2, simple, derived
B[5030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,10,11],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,8,9,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,6,7,8,9],[2,4,8,10,11,13],[2,5,6,9,10,12],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,8,9,11,13],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[5030]:=Group([(1,5)(2,13)(3,8)(4,9)(7,11)(10,12)]);
# Design 5031: autom. group order 2, simple
B[5031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,10,12],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,9,11,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,6,10,11,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,10,11,12,13],[4,5,6,7,10,12],[4,5,7,8,9,10]];
G[5031]:=Group([(2,7)(3,11)(4,13)(5,8)(9,10)]);
# Design 5032: autom. group order 2, simple
B[5032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,10,11],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,7,9,13],[1,6,8,9,11,12],[1,7,8,10,11,13],[2,3,6,7,8,11],[2,3,7,9,12,13],[2,4,6,9,11,13],[2,4,8,9,10,13],[2,5,6,10,12,13],[2,5,8,9,10,11],[2,6,7,8,10,12],[3,4,5,8,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,6,7,8,9],[4,5,7,9,11,12]];
G[5032]:=Group([(1,10)(3,9)(4,8)(6,11)(7,13)]);
# Design 5033: autom. group order 2, simple
B[5033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,7,8,10,12],[2,3,10,11,12,13],[2,4,6,7,11,12],[2,4,6,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,10,11],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,6,7,11,12],[4,5,7,8,9,11],[4,5,7,10,12,13]];
G[5033]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5034: autom. group order 2, simple
B[5034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,10,12],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,7,8,10,11,13],[2,3,8,10,11,12],[2,3,9,10,11,13],[2,4,6,7,8,10],[2,4,6,11,12,13],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,7,9,10,12],[4,5,8,9,10,11]];
G[5034]:=Group([(2,7)(3,11)(4,13)(5,8)(6,10)]);
# Design 5035: autom. group order 2, simple
B[5035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,6,8,9,11],[2,5,6,7,8,12],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,11],[3,4,6,11,12,13],[3,4,7,8,10,12],[3,5,6,7,9,13],[3,5,6,8,9,11],[4,5,7,9,11,12],[4,5,8,9,10,13]];
G[5035]:=Group([(2,7)(3,11)(4,13)(5,8)]);
# Design 5036: autom. group order 2, simple
B[5036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,11,12,13],[1,3,8,9,10,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,6,8,9,11],[1,6,7,10,11,12],[1,7,8,9,12,13],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,9,10,12],[4,5,7,9,10,11],[4,5,8,9,11,13]];
G[5036]:=Group([(1,13)(3,10)(4,6)(5,11)(8,9)]);
# Design 5037: autom. group order 2, simple
B[5037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,11,12,13],[1,3,8,9,10,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,5,6,8,9,11],[1,6,7,10,11,12],[1,7,8,9,12,13],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,7,8,10,11],[4,5,8,9,11,13]];
G[5037]:=Group([(1,13)(3,10)(4,6)(5,11)(8,9)]);
# Design 5038: autom. group order 2, simple
B[5038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,11,13],[1,3,8,9,10,13],[1,4,5,7,10,13],[1,4,6,8,10,12],[1,5,6,8,9,11],[1,6,7,10,11,12],[1,7,8,9,12,13],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,6,7,8,9],[2,4,6,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,9,10,12],[4,5,7,9,10,11],[4,5,8,9,11,13]];
G[5038]:=Group([(1,13)(3,10)(4,6)(5,11)(8,9)]);
# Design 5039: autom. group order 2, simple
B[5039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,11,13],[1,3,8,9,10,13],[1,4,5,7,10,13],[1,4,6,8,10,12],[1,5,6,8,9,11],[1,6,7,10,11,12],[1,7,8,9,12,13],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,6,7,8,9],[2,4,6,10,11,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,7,8,10,11],[4,5,8,9,11,13]];
G[5039]:=Group([(1,13)(3,10)(4,6)(5,11)(8,9)]);
# Design 5040: autom. group order 2, simple
B[5040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,6,9,11,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,7,9,11,12,13],[3,4,5,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5040]:=Group([(1,13)(2,10)(3,7)(8,9)]);
# Design 5041: autom. group order 2, simple
B[5041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,3,6,9,12,13],[2,4,6,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,7,9,11,12,13],[3,4,5,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5041]:=Group([(1,13)(2,10)(3,7)(8,9)]);
# Design 5042: autom. group order 2, simple
B[5042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,13],[2,3,6,9,11,12],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,5,7,8,12],[3,4,8,9,10,13],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[5042]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5043: autom. group order 2, simple
B[5043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,6,10,11,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,10],[2,5,7,8,11,12],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,8,9,13],[4,5,6,7,10,13],[4,5,6,9,11,12]];
G[5043]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5044: autom. group order 2, simple, derived
B[5044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,9,12,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,6,10,11,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,7,9,11,12,13],[3,4,5,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5044]:=Group([(1,13)(2,8)(3,9)(7,10)]);
# Design 5045: autom. group order 2, simple, derived
B[5045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,9,12,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,13],[2,3,6,10,12,13],[2,4,6,8,11,12],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,7,9,11,12,13],[3,4,5,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5045]:=Group([(1,13)(2,8)(3,9)(7,10)]);
# Design 5046: autom. group order 2, simple
B[5046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,7,9,12],[1,3,8,9,11,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,6,10,11,13],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,7,9,10,11,13],[3,4,5,11,12,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,8,9,10,12],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[5046]:=Group([(1,13)(2,10)(4,7)(5,6)(9,11)]);
# Design 5047: autom. group order 2, simple
B[5047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,7,11,12],[1,3,8,9,11,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,6,10,11,13],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,6,7,8,9],[2,5,8,11,12,13],[2,7,9,10,11,13],[3,4,5,9,12,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,8,9,10,12],[4,5,6,7,9,11],[4,5,6,8,10,11]];
G[5047]:=Group([(1,13)(2,10)(4,7)(5,6)(9,11)]);
# Design 5048: autom. group order 2, simple, derived
B[5048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,11,12],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,7,10,11,12,13],[3,4,5,11,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5048]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 5049: autom. group order 2, simple
B[5049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,11,12,13],[1,3,7,8,10,13],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,5,7,8,11,12],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,7,9,11],[2,3,6,8,12,13],[2,4,6,10,12,13],[2,4,7,10,11,13],[2,5,6,7,8,12],[2,5,8,9,10,12],[2,7,8,9,11,13],[3,4,5,8,9,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,9,11,12,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[5049]:=Group([(1,11)(3,7)(4,9)(5,13)(6,8)]);
# Design 5050: autom. group order 2, simple
B[5050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,9,10,11],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,8,10,13],[2,3,6,9,11,12],[2,4,7,10,11,13],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,5,7,9,12],[3,4,6,8,12,13],[3,4,9,10,12,13],[3,5,7,8,10,11],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,6,8,9,11]];
G[5050]:=Group([(1,4)(3,7)(5,11)(6,12)(9,13)]);
# Design 5051: autom. group order 2, simple, derived
B[5051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,7,8,9,12,13],[3,4,5,7,12,13],[3,4,8,9,10,12],[3,4,9,10,11,13],[3,5,6,7,8,9],[3,5,6,7,11,13],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[5051]:=Group([(1,5)(2,9)(3,11)(4,8)(6,12)(10,13)]);
# Design 5052: autom. group order 2, simple
B[5052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,7,9,12],[1,3,9,11,12,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,10,11,13],[2,3,7,8,11,12],[2,4,6,7,11,12],[2,4,6,8,9,13],[2,5,6,8,10,12],[2,5,8,9,12,13],[2,7,9,10,11,13],[3,4,5,11,12,13],[3,4,7,8,10,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[4,5,6,7,9,11],[4,5,7,9,10,12]];
G[5052]:=Group([(1,13)(2,10)(4,7)(5,6)(9,11)]);
# Design 5053: autom. group order 2, simple
B[5053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,10,11],[1,3,8,10,12,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,7,8,13],[2,3,7,9,12,13],[2,4,6,8,10,12],[2,4,6,10,11,13],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,8,9,10,11],[3,4,5,11,12,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5053]:=Group([(1,10)(2,11)(4,7)(5,6)(8,12)]);
# Design 5054: autom. group order 2, simple
B[5054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,10,12,13],[2,4,8,10,11,12],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,7,8,9,10,11],[3,4,5,7,8,12],[3,4,6,9,10,11],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,7,8,10,13]];
G[5054]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5055: autom. group order 2, simple
B[5055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,8,9,11],[1,5,8,9,10,12],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,6,8,12,13],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,7,8,9,10,11],[3,4,5,7,10,11],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,8,11,12,13],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[5055]:=Group([(1,7)(2,6)(3,13)(4,10)(8,11)]);
# Design 5056: autom. group order 2, simple
B[5056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,11,12],[1,3,6,9,12,13],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,8,10,11,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,6,11,12,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,7,8,9,10,13],[3,4,5,7,10,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,7,9,11,13]];
G[5056]:=Group([(1,7)(2,6)(3,12)(4,10)(8,9)]);
# Design 5057: autom. group order 2, simple
B[5057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,8,9,12],[1,3,7,10,11,12],[1,4,5,10,11,13],[1,4,6,10,11,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,7,11,12,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,7,8,9,10,11],[3,4,5,7,12,13],[3,4,6,9,11,13],[3,4,8,9,10,13],[3,5,6,7,9,10],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,7,8,9,12]];
G[5057]:=Group([(1,7)(2,6)(3,10)(4,13)(11,12)]);
# Design 5058: autom. group order 2, simple
B[5058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,10],[2,5,6,7,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,7,8,9,13],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[5058]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5059: autom. group order 2, simple, derived
B[5059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,9,11,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,7,8,9,10,12],[3,4,5,8,9,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,10,11,12],[4,5,7,8,11,13]];
G[5059]:=Group([(2,13)(3,12)(4,9)(6,7)]);
# Design 5060: autom. group order 2, simple, derived
B[5060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,7,9,10,11,12],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,8,10,12],[4,5,7,8,11,13]];
G[5060]:=Group([(2,13)(3,12)(4,9)(6,7)]);
# Design 5061: autom. group order 2, simple
B[5061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,11,12,13],[1,3,9,10,11,12],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,7,8,9,10,11],[3,4,5,7,10,13],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,8,9,11,12]];
G[5061]:=Group([(1,7)(2,6)(3,12)(4,10)(11,13)]);
# Design 5062: autom. group order 2, simple
B[5062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,11,12,13],[1,3,9,10,11,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,9,10,11],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,10,11,12],[2,7,8,9,11,12],[3,4,5,7,9,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,6,7,11,13],[4,5,8,10,12,13]];
G[5062]:=Group([(1,7)(2,6)(3,13)(4,9)(10,11)]);
# Design 5063: autom. group order 2, simple
B[5063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,9,10,12,13],[1,6,7,8,9,10],[1,6,7,8,11,12],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,8,9,10,11,13],[3,4,5,8,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,7,8,10,13]];
G[5063]:=Group([(1,11)(3,8)(4,13)(5,9)(6,10)(7,12)]);
# Design 5064: autom. group order 2, simple
B[5064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,11,12,13],[1,3,7,8,10,12],[1,4,5,8,10,13],[1,4,6,9,10,11],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,7,9,13],[2,3,9,10,12,13],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,6,7,8,12],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,5,7,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,8,9,11,13],[4,5,6,7,9,13],[4,5,7,9,10,12]];
G[5064]:=Group([(1,5)(2,13)(3,8)(4,9)(6,12)(7,11)]);
# Design 5065: autom. group order 2, simple
B[5065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,7,11,12],[1,5,7,9,10,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,7,8,9,12,13],[3,4,5,8,10,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,8,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,10,11,12,13]];
G[5065]:=Group([(1,11)(2,7)(4,12)(6,9)(8,10)]);
# Design 5066: autom. group order 2, simple
B[5066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,11,12],[1,3,8,10,12,13],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,7,8,10,11],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,8,10,12],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,8,9,10,11,13],[3,4,5,9,10,13],[3,4,6,7,8,11],[3,4,7,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[5066]:=Group([(1,11)(3,8)(4,13)(5,9)(6,10)(7,12)]);
# Design 5067: autom. group order 2, simple
B[5067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,12,13],[1,3,8,10,11,12],[1,4,5,9,12,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,6,11,12,13],[2,7,8,9,12,13],[3,4,5,7,8,13],[3,4,6,7,11,12],[3,4,9,10,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[5067]:=Group([(1,12)(3,8)(4,9)(5,13)(6,7)]);
# Design 5068: autom. group order 2, simple
B[5068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,13],[1,3,8,10,12,13],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,9,10,12,13],[2,6,7,9,11,13],[3,4,5,6,9,12],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,12,13],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[5068]:=Group([(1,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5069: autom. group order 2, simple
B[5069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,13],[1,3,8,10,12,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,7,9,11,12],[1,6,7,8,9,10],[1,6,8,10,11,12],[2,3,6,9,11,13],[2,3,8,9,11,12],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,9,10,12,13],[2,6,7,10,11,13],[3,4,5,6,10,12],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,12,13],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[5069]:=Group([(1,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5070: autom. group order 2, simple
B[5070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,8,10,13],[2,4,6,10,11,12],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,9,10,11],[3,4,5,6,7,12],[3,4,8,9,10,11],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,7,10,13],[4,5,7,8,9,12]];
G[5070]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5071: autom. group order 2, simple
B[5071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,10],[2,5,7,8,12,13],[2,6,9,10,11,13],[3,4,5,6,12,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[5071]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5072: autom. group order 2, simple, derived
B[5072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,9,10,12],[2,3,7,9,11,13],[2,4,6,11,12,13],[2,4,8,9,10,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,5,6,8,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[5072]:=Group([(2,13)(3,12)(4,9)(6,7)]);
# Design 5073: autom. group order 2, simple
B[5073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,9,11,12],[2,3,7,9,10,13],[2,4,6,10,12,13],[2,4,8,9,11,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,5,6,8,13],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[5073]:=Group([(2,13)(3,12)(4,9)(6,7)]);
# Design 5074: autom. group order 2, simple, derived
B[5074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,9,10,12],[2,3,7,8,9,13],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,6,11,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,10,13],[4,5,6,7,8,9],[4,5,8,9,10,11]];
G[5074]:=Group([(2,13)(3,12)(4,9)(6,7)]);
# Design 5075: autom. group order 2, simple
B[5075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,9,12],[2,3,7,9,10,13],[2,4,6,10,12,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,6,11,13],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,13],[4,5,6,7,8,9],[4,5,8,9,10,11]];
G[5075]:=Group([(2,13)(3,12)(4,9)(6,7)]);
# Design 5076: autom. group order 2, simple
B[5076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,10,11],[1,3,7,9,11,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,5,6,7,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,10,11,12],[4,5,7,9,11,13]];
G[5076]:=Group([(1,3)(2,9)(4,11)(5,10)(8,13)]);
# Design 5077: autom. group order 2, simple
B[5077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,10,11],[1,3,7,9,11,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,9,10,12],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,5,6,7,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,9,11,13],[4,5,7,10,11,12]];
G[5077]:=Group([(1,3)(2,9)(4,11)(5,10)(8,13)]);
# Design 5078: autom. group order 2, simple
B[5078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,8,9,10,11],[1,4,5,10,12,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,6,8,10,13],[2,4,7,8,9,13],[2,5,6,7,10,11],[2,5,8,9,10,12],[2,6,8,10,11,12],[3,4,5,6,8,11],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,7,8,10,13],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[5078]:=Group([(1,4)(2,12)(3,10)(5,7)(8,13)(9,11)]);
# Design 5079: autom. group order 2, simple
B[5079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,5,7,8,12],[1,4,6,8,10,11],[1,5,7,10,12,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,8,11,13],[2,4,6,10,12,13],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,6,9,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[5079]:=Group([(1,4)(2,8)(3,7)(6,12)(9,10)]);
# Design 5080: autom. group order 2, simple
B[5080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,5,7,8,12],[1,4,6,8,10,11],[1,5,7,10,12,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,12,13],[2,3,7,8,9,11],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,5,6,10,13],[3,4,7,9,10,12],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[5080]:=Group([(1,4)(2,8)(3,7)(6,12)(10,13)]);
# Design 5081: autom. group order 2, simple
B[5081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,11,13],[1,3,8,9,10,13],[1,4,5,7,8,12],[1,4,6,8,10,11],[1,5,7,10,12,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,12,13],[2,3,7,8,9,11],[2,4,6,9,10,12],[2,4,7,9,10,13],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,5,6,10,13],[3,4,7,10,11,12],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[5081]:=Group([(1,4)(2,8)(3,7)(6,12)(10,13)]);
# Design 5082: autom. group order 2, simple
B[5082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,9,12],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,11,12,13],[2,4,7,8,10,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,9,11,12],[3,4,5,6,8,11],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,7,8,9,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,8,9,11,13]];
G[5082]:=Group([(1,13)(2,9)(3,8)(4,5)(6,11)]);
# Design 5083: autom. group order 2, simple
B[5083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,11,12,13],[1,4,5,7,10,13],[1,4,6,8,9,12],[1,5,8,9,10,11],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,6,7,9,13],[2,4,6,8,10,11],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,7,8,9,11,13],[3,4,5,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,6,7,12,13],[4,5,7,9,11,12],[4,5,8,10,12,13]];
G[5083]:=Group([(1,10)(2,3)(4,12)(5,9)(6,13)]);
# Design 5084: autom. group order 2, simple
B[5084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,9,13],[1,3,8,11,12,13],[1,4,5,7,10,13],[1,4,6,8,9,11],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,7,10,12,13],[2,3,7,8,10,11],[2,3,9,10,11,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,7,8,9,12,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[4,5,7,8,9,11],[4,5,8,10,11,13]];
G[5084]:=Group([(1,10)(2,3)(4,11)(5,9)(6,13)]);
# Design 5085: autom. group order 2, simple
B[5085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,11,12,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,5,7,9,10,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,6,7,9,13],[2,4,6,8,10,11],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,7,8,9,11,13],[3,4,5,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,6,7,12,13],[4,5,7,10,12,13],[4,5,8,9,11,12]];
G[5085]:=Group([(1,10)(2,3)(4,12)(5,9)(6,13)]);
# Design 5086: autom. group order 2, simple
B[5086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,10,13],[2,3,8,9,11,12],[2,4,6,10,11,12],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,6,7,9,10,11],[3,4,5,6,7,12],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,7,8,9,12],[4,5,7,8,10,11]];
G[5086]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5087: autom. group order 2, simple
B[5087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,11,12,13],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,10],[2,5,6,7,11,12],[2,6,9,10,11,13],[3,4,5,6,12,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,8,9,11],[4,5,7,8,10,13],[4,5,8,9,11,12]];
G[5087]:=Group([(2,10)(3,9)(4,12)(6,8)(11,13)]);
# Design 5088: autom. group order 2, simple
B[5088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,11,12],[1,3,6,7,11,13],[1,3,8,9,11,13],[1,4,5,8,12,13],[1,4,6,8,10,13],[1,5,7,10,12,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,3,10,11,12,13],[2,4,6,7,11,13],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,6,8,11,12],[2,6,7,8,9,10],[3,4,5,6,9,12],[3,4,6,10,11,12],[3,4,7,8,10,12],[3,5,6,7,9,13],[3,5,7,8,10,11],[4,5,7,8,9,11],[4,5,9,10,11,13]];
G[5088]:=Group([(1,8)(2,7)(5,10)(6,12)(9,11)]);
# Design 5089: autom. group order 2, simple
B[5089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,10,12,13],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,6,7,8,12],[1,5,7,10,11,12],[1,6,7,9,11,13],[1,6,8,9,10,13],[2,3,7,8,12,13],[2,3,7,9,10,13],[2,4,6,9,12,13],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,6,8,10,12],[2,6,7,8,10,11],[3,4,5,6,11,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,8,11,12,13],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[5089]:=Group([(1,7)(4,8)(5,13)(6,12)(9,10)]);
# Design 5090: autom. group order 2, simple
B[5090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,10,13],[1,3,9,10,11,12],[1,4,5,8,12,13],[1,4,6,7,9,10],[1,5,7,8,11,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,11],[3,4,5,6,11,13],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,10,12],[4,5,7,9,10,13],[4,5,8,9,10,11]];
G[5090]:=Group([(1,12)(3,10)(5,13)(6,7)(9,11)]);
# Design 5091: autom. group order 2, simple
B[5091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,12,13],[1,3,8,9,10,12],[1,4,5,6,9,13],[1,4,6,10,11,12],[1,5,7,10,11,13],[1,6,7,8,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,6,10,11,12],[2,4,6,9,12,13],[2,4,7,8,9,10],[2,5,7,9,11,12],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,10,12,13],[3,4,7,10,11,13],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,6,7,9,11],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[5091]:=Group([(1,7)(2,4)(3,8)(5,10)(6,9)]);
# Design 5092: autom. group order 2, simple
B[5092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,8,9,12,13],[1,3,9,10,11,12],[1,4,5,6,10,13],[1,4,6,9,12,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,6,7,12,13],[2,3,6,10,11,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,7,8,10,13],[4,5,6,8,9,11],[4,5,7,10,12,13]];
G[5092]:=Group([(2,9)(4,12)(5,10)(6,11)(7,13)]);
# Design 5093: autom. group order 2, simple
B[5093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,8,12,13],[1,3,8,9,10,12],[1,4,5,6,10,13],[1,4,6,8,11,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,9,10,11,13],[2,3,6,7,9,13],[2,3,6,10,11,12],[2,4,7,10,12,13],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,7,8,9],[4,5,7,9,10,12]];
G[5093]:=Group([(2,8)(4,7)(5,12)(6,13)(9,10)]);
# Design 5094: autom. group order 2, simple
B[5094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,7,10,11,12],[1,3,8,9,12,13],[1,4,5,6,7,12],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,13],[2,3,6,7,9,13],[2,3,6,8,11,12],[2,4,7,8,12,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,10,11,12],[3,4,5,7,11,13],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,8,10,12],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,9,10,12]];
G[5094]:=Group([(1,5)(3,10)(4,13)(6,11)(7,8)]);
# Design 5095: autom. group order 2, simple
B[5095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,7,9,12,13],[1,3,8,10,11,12],[1,4,5,6,7,12],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,7,9,11,13],[2,3,6,8,9,13],[2,3,6,8,11,12],[2,4,7,8,12,13],[2,4,7,9,10,11],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,10,11,12],[3,4,5,7,11,13],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,8,9,10,12]];
G[5095]:=Group([(1,5)(3,10)(4,13)(6,11)(7,8)]);
# Design 5096: autom. group order 2, simple
B[5096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,10,11,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,6,9,10,11],[1,5,7,8,10,12],[1,6,7,8,9,10],[1,6,8,11,12,13],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,10,13],[2,4,9,10,12,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,7,8,9,11],[4,5,7,10,11,13]];
G[5096]:=Group([(1,11)(2,9)(3,8)(6,7)(10,12)]);
# Design 5097: autom. group order 2, simple
B[5097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,12,13],[1,3,8,10,12,13],[1,4,5,6,9,13],[1,4,6,10,11,12],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,9,11],[2,3,9,10,11,12],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,10,12,13],[3,4,6,7,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,6,7,11,13],[4,5,7,8,9,10],[4,5,8,9,11,12]];
G[5097]:=Group([(1,7)(2,4)(3,8)(5,10)(6,13)]);
# Design 5098: autom. group order 2, simple
B[5098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,8,9,12,13],[1,3,9,10,11,12],[1,4,5,6,10,13],[1,4,6,9,12,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,6,9,11,12],[2,4,8,10,12,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,6,11,12,13],[4,5,7,8,9,12],[4,5,8,9,10,11]];
G[5098]:=Group([(2,9)(4,12)(5,10)(6,11)(7,13)]);
# Design 5099: autom. group order 2, simple
B[5099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,8,12,13],[1,3,8,9,10,12],[1,4,5,6,10,13],[1,4,6,8,11,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,9,10,11,13],[2,3,6,7,9,13],[2,3,10,11,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,11],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[5099]:=Group([(2,8)(4,7)(5,12)(6,13)(9,10)]);
# Design 5100: autom. group order 2, simple, derived
B[5100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,11,13],[1,3,8,10,12,13],[1,4,5,9,10,12],[1,4,6,7,10,13],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,6,9,11,12,13],[2,3,6,8,9,13],[2,3,6,10,11,12],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,7,8,9,10,12],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[5100]:=Group([(1,10)(2,11)(3,8)(5,6)(7,9)(12,13)]);
# Design 5101: autom. group order 2, simple
B[5101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,8,11,13],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,11,12,13],[1,5,6,7,10,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,7,8,10,12,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5101]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 5102: autom. group order 2, simple
B[5102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,11,13],[1,3,8,9,10,12],[1,4,5,9,12,13],[1,4,6,10,11,12],[1,5,6,7,10,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,7,9,10,12,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,8,11,12,13],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,10,11]];
G[5102]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 5103: autom. group order 2, simple
B[5103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,11,13],[1,3,8,9,12,13],[1,4,5,9,10,12],[1,4,6,11,12,13],[1,5,6,7,10,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,9,10,11],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,7,9,10,12,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5103]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 5104: autom. group order 2, simple
B[5104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,11,13],[1,3,8,10,12,13],[1,4,5,9,10,12],[1,4,6,9,11,12],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,6,9,10,13],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,8,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,7,8,10],[4,5,8,9,11,13]];
G[5104]:=Group([(1,11)(3,10)(4,12)(5,8)(6,9)]);
# Design 5105: autom. group order 2, simple
B[5105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,7,11,12,13],[1,3,8,10,11,12],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,5,6,9,11,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,6,11,12,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,7,8,9,10,11],[3,4,5,7,10,13],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,9,11],[3,5,8,9,10,13],[4,5,6,7,8,12],[4,5,8,9,11,12]];
G[5105]:=Group([(1,7)(2,6)(3,12)(4,10)(8,9)(11,13)]);
# Design 5106: autom. group order 2, simple
B[5106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,8,9,10],[1,4,6,7,10,13],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,5,9,12,13],[3,4,6,8,11,12],[3,4,7,8,9,13],[3,5,6,7,10,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[5106]:=Group([(1,12)(2,6)(4,10)(5,8)(9,11)]);
# Design 5107: autom. group order 2, simple
B[5107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,7,9,11,12],[1,3,8,10,11,13],[1,4,5,8,9,10],[1,4,6,10,11,13],[1,5,6,7,8,13],[1,6,7,9,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,5,9,12,13],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[5107]:=Group([(1,12)(2,6)(4,8)(5,10)(9,11)]);
# Design 5108: autom. group order 2, simple
B[5108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,10,12,13],[1,3,8,10,11,12],[1,4,5,9,12,13],[1,4,6,8,11,13],[1,5,6,8,10,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,7,9,10],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,5,7,8,13],[3,4,6,7,11,12],[3,4,9,10,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[5108]:=Group([(1,12)(3,8)(4,9)(5,13)(6,7)]);
# Design 5109: autom. group order 2, simple
B[5109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,8,9,11,13],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,6,8,10,11,12],[2,3,6,7,11,13],[2,3,6,8,10,11],[2,4,6,9,10,12],[2,4,7,8,9,10],[2,5,6,9,12,13],[2,5,8,9,11,13],[2,7,8,10,12,13],[3,4,5,10,11,12],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,5,7,10,11,13]];
G[5109]:=Group([(2,9)(4,13)(5,10)(6,12)(7,11)]);
# Design 5110: autom. group order 2, simple
B[5110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,11,12,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,9,10,11],[1,5,6,7,8,10],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,11,13],[2,3,6,10,11,12],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,6,8,12],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,5,7,10,11,12],[4,5,6,7,11,13],[4,5,8,9,11,12]];
G[5110]:=Group([(1,11)(2,9)(3,8)(6,12)(7,10)]);
# Design 5111: autom. group order 2, simple
B[5111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,8,11,13],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,9,10,11],[1,5,6,7,10,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[2,6,7,8,9,10],[3,4,5,6,12,13],[3,4,7,9,10,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5111]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 5112: autom. group order 2, simple
B[5112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,7,9,11,13],[1,3,8,9,12,13],[1,4,5,9,10,12],[1,4,6,8,10,11],[1,5,6,7,10,13],[1,6,7,8,12,13],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,9,11,13],[2,4,7,10,12,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[2,6,7,8,9,10],[3,4,5,6,12,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5112]:=Group([(1,11)(2,7)(3,5)(4,12)(8,9)]);
# Design 5113: autom. group order 2, simple
B[5113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,8,11,13],[1,3,8,9,10,12],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,12,13],[2,3,6,10,11,12],[2,4,6,8,11,12],[2,4,7,8,9,10],[2,5,8,9,11,13],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,6,9,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[5113]:=Group([(1,8)(2,4)(3,7)(5,10)(6,9)]);
# Design 5114: autom. group order 2, simple
B[5114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,9,11],[1,3,7,10,11,12],[1,3,8,9,11,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,5,6,7,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,3,6,10,12,13],[2,4,6,7,9,13],[2,4,8,10,11,12],[2,5,7,8,10,13],[2,5,8,9,10,12],[2,6,7,9,11,12],[3,4,5,6,10,11],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,8,9,11],[4,5,7,10,11,13]];
G[5114]:=Group([(1,13)(2,7)(3,10)(4,5)(6,11)]);
# Design 5115: autom. group order 2, simple
B[5115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,8,9,11,13],[1,3,9,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,13],[1,5,6,8,10,13],[1,6,7,8,11,12],[1,6,7,9,10,11],[2,3,6,7,8,13],[2,3,6,10,11,12],[2,4,6,9,10,11],[2,4,7,8,9,10],[2,5,7,9,12,13],[2,5,8,9,11,13],[2,6,8,10,12,13],[3,4,5,6,11,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[5115]:=Group([(2,9)(4,13)(5,10)(6,12)(7,11)]);
# Design 5116: autom. group order 2, simple
B[5116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,8,10,12,13],[1,3,9,11,12,13],[1,4,5,8,10,12],[1,4,6,10,11,13],[1,5,6,7,8,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,10,11,12],[2,3,7,8,10,13],[2,4,6,8,9,12],[2,4,6,9,10,13],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,7,8,9,10,11],[3,4,5,7,9,13],[3,4,6,8,11,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,7,10,12,13],[4,5,8,9,10,11]];
G[5116]:=Group([(1,13)(2,5)(3,12)(4,7)(8,10)(9,11)]);
# Design 5117: autom. group order 2, simple
B[5117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,8,10,12,13],[1,3,9,11,12,13],[1,4,5,8,10,12],[1,4,6,8,11,13],[1,5,6,7,10,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,10,11,12],[2,3,7,8,10,13],[2,4,6,8,9,13],[2,4,6,9,10,12],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,7,8,9,10,11],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,6,8,9,12],[4,5,7,10,12,13],[4,5,8,9,10,11]];
G[5117]:=Group([(1,13)(2,5)(3,12)(4,7)(8,10)(9,11)]);
# Design 5118: autom. group order 2, simple
B[5118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,8,9,11,13],[1,3,10,11,12,13],[1,4,5,10,11,12],[1,4,6,9,12,13],[1,5,6,7,8,12],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,8,10,11],[2,4,6,9,10,13],[2,5,6,7,11,13],[2,5,8,11,12,13],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[5118]:=Group([(1,13)(2,5)(3,11)(4,7)(8,9)(10,12)]);
# Design 5119: autom. group order 2, simple
B[5119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,8,9,11,13],[1,3,10,11,12,13],[1,4,5,10,11,12],[1,4,6,8,12,13],[1,5,6,7,9,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,6,9,10,11],[2,5,6,7,11,13],[2,5,8,11,12,13],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,6,8,10,11],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[5119]:=Group([(1,13)(2,5)(3,11)(4,7)(8,9)(10,12)]);
# Design 5120: autom. group order 2, simple
B[5120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,8,10,12],[1,3,8,11,12,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,6,7,9,11],[1,6,7,9,12,13],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,7,9,10,11,12],[3,4,5,9,12,13],[3,4,6,7,11,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,7,8,9,10],[4,5,7,8,11,13]];
G[5120]:=Group([(1,7)(2,12)(4,10)(5,6)(9,11)]);
# Design 5121: autom. group order 2, simple
B[5121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,7,8,11,13],[1,3,7,9,12,13],[1,4,5,8,11,12],[1,4,6,8,10,13],[1,5,6,7,12,13],[1,6,7,8,9,10],[1,6,9,10,11,12],[2,3,6,7,9,11],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,7,8,10,11,12],[3,4,5,7,10,12],[3,4,6,11,12,13],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,6,8,10,11],[4,5,7,8,9,11],[4,5,7,9,10,13]];
G[5121]:=Group([(2,7)(4,8)(5,13)(6,11)(10,12)]);
# Design 5122: autom. group order 2, simple
B[5122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,12],[1,3,7,8,9,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,7,10,13],[1,5,6,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,10,12],[2,3,8,10,11,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,6,7,8,9,11],[3,4,5,6,9,13],[3,4,6,9,11,12],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,7,11,12,13],[4,5,7,8,10,12],[4,5,7,9,10,11]];
G[5122]:=Group([(1,8)(2,12)(3,10)(4,5)(6,7)(11,13)]);
# Design 5123: autom. group order 2, simple
B[5123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,8,9,13],[1,3,10,11,12,13],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,6,8,10,11],[1,6,7,9,11,12],[1,6,8,9,10,12],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,10,12,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,5,6,9,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,7,11,12,13],[4,5,7,8,10,11],[4,5,7,9,10,13]];
G[5123]:=Group([(1,8)(2,11)(3,10)(4,5)(6,7)(12,13)]);
# Design 5124: autom. group order 2, simple
B[5124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,10,12,13],[1,3,8,10,11,12],[1,4,5,8,9,12],[1,4,6,7,11,13],[1,5,6,10,12,13],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,7,8,9,12],[3,4,5,6,8,13],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,7,9,10,11],[4,5,8,10,11,12]];
G[5124]:=Group([(1,9)(2,6)(3,7)(4,12)(5,8)]);
# Design 5125: autom. group order 2, simple
B[5125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,11,12,13],[1,3,8,10,12,13],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,5,6,7,10,11],[1,6,7,8,9,13],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,11,12,13],[2,5,7,8,10,12],[2,6,7,8,9,12],[3,4,5,6,8,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,7,8,11,13],[4,5,7,9,10,13]];
G[5125]:=Group([(1,9)(2,6)(3,7)(4,12)(5,8)(10,13)]);
# Design 5126: autom. group order 2, simple
B[5126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,9,10,13],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,5,6,8,10],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,7,8,9,13],[4,5,9,10,11,12]];
G[5126]:=Group([(1,7)(3,12)(5,10)(6,9)(8,11)]);
# Design 5127: autom. group order 2, simple
B[5127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,7,9,10,13],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,8,10,13],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,9,10,11,12],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,5,6,10,11],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,8,9],[3,5,7,8,11,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[5127]:=Group([(1,7)(3,12)(5,10)(6,9)(8,11)]);
# Design 5128: autom. group order 2, simple
B[5128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,8,11],[1,3,7,9,12,13],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,6,8,10,13],[1,6,7,10,11,12],[1,6,8,9,11,12],[2,3,6,10,11,13],[2,3,8,11,12,13],[2,4,6,7,10,12],[2,4,8,10,12,13],[2,5,6,9,11,13],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,5,6,11,12],[3,4,6,7,9,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,8,9,10,12],[4,5,7,8,11,13],[4,5,7,9,10,11]];
G[5128]:=Group([(1,10)(2,9)(4,8)(6,12)(7,11)]);
# Design 5129: autom. group order 2, simple
B[5129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,11,12,13],[1,3,8,10,12,13],[1,4,5,8,9,13],[1,4,6,7,10,11],[1,5,6,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,10,12],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,8,11,12],[2,5,7,8,10,13],[2,6,7,8,9,13],[3,4,5,6,12,13],[3,4,6,7,8,9],[3,4,8,10,11,13],[3,5,6,9,11,13],[3,5,7,9,10,11],[4,5,7,8,11,12],[4,5,7,9,10,12]];
G[5129]:=Group([(1,9)(2,6)(3,7)(4,8)(5,13)(10,12)]);
# Design 5130: autom. group order 2, simple
B[5130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,7,9,11,13],[1,3,9,10,12,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,6,10,11,13],[1,6,7,8,9,10],[1,6,7,8,11,12],[2,3,6,8,11,13],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,7,9,10,11],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,9,10,11,12],[3,4,5,6,9,11],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[4,5,7,9,12,13],[4,5,8,10,11,13]];
G[5130]:=Group([(2,9)(4,13)(5,10)(6,12)(8,11)]);
# Design 5131: autom. group order 2, simple
B[5131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,7,8,9,11],[1,3,9,10,11,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,9,12,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,5,6,7,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,7,9,11,13],[4,5,8,10,11,12]];
G[5131]:=Group([(1,3)(2,9)(4,11)(5,10)(6,13)]);
# Design 5132: autom. group order 2, simple
B[5132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,7,8,9,11],[1,3,9,10,11,13],[1,4,5,10,12,13],[1,4,6,8,9,12],[1,5,6,8,9,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,8,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,9,12,13],[3,4,5,6,7,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,7,8,10,11],[4,5,8,9,11,13]];
G[5132]:=Group([(1,3)(2,9)(4,11)(5,10)(6,13)]);
# Design 5133: autom. group order 2, simple
B[5133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,7,8,9,11],[1,3,9,10,11,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,9,12,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,8,10,11],[2,4,7,9,10,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,5,6,7,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,7,10,11,12],[4,5,8,9,11,13]];
G[5133]:=Group([(1,3)(2,9)(4,11)(5,10)(6,13)]);
# Design 5134: autom. group order 2, simple
B[5134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,8,9,11,13],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,10,13],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,5,6,9,11],[3,4,6,7,10,12],[3,4,7,8,10,11],[3,5,6,11,12,13],[3,5,7,8,11,13],[4,5,7,9,12,13],[4,5,8,9,10,12]];
G[5134]:=Group([(2,9)(4,13)(5,10)(6,12)(7,11)]);
# Design 5135: autom. group order 2, simple, derived
B[5135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,8,9,11,13],[3,4,5,9,12,13],[3,4,5,10,11,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[5135]:=Group([(2,13)(3,12)(4,10)(5,7)]);
# Design 5136: autom. group order 2, simple
B[5136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[5136]:=Group([(2,13)(3,12)(4,10)(5,7)]);
# Design 5137: autom. group order 2, simple
B[5137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,7,8,10,12],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,6,8,9,11,13],[3,4,5,8,10,13],[3,4,5,11,12,13],[3,4,6,7,9,13],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[5137]:=Group([(2,13)(3,12)(4,10)(5,7)]);
# Design 5138: autom. group order 2, simple, derived
B[5138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[5138]:=Group([(2,13)(3,12)(4,10)(5,7)]);
# Design 5139: autom. group order 2, simple
B[5139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,7,11,12],[1,3,8,9,10,12],[1,4,6,8,12,13],[1,4,9,10,11,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,7,9,12,13],[3,5,6,9,11,13],[3,6,7,8,9,10],[4,5,6,7,8,9],[4,5,6,7,10,12]];
G[5139]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 5140: autom. group order 2, simple
B[5140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,7,11,13],[1,3,8,9,10,11],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,9,12,13],[3,4,5,10,11,13],[3,4,7,8,12,13],[3,5,6,8,11,12],[3,6,7,8,9,10],[4,5,6,7,8,9],[4,5,6,7,10,11]];
G[5140]:=Group([(1,13)(3,11)(4,9)(5,8)]);
# Design 5141: autom. group order 2, simple
B[5141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,9,11,13],[1,3,7,8,10,11],[1,4,6,8,10,13],[1,4,7,10,11,12],[1,5,7,8,12,13],[1,5,9,10,11,12],[1,6,8,9,12,13],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,8,11,13],[3,4,5,10,12,13],[3,4,7,9,12,13],[3,5,6,7,11,12],[3,6,7,8,9,10],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[5141]:=Group([(1,13)(3,11)(4,10)(5,7)]);
# Design 5142: autom. group order 2, simple
B[5142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,8,11,13],[1,3,7,10,11,12],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,7,8,12,13],[1,5,9,10,11,12],[1,6,8,9,12,13],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,10,11,13],[3,4,5,8,10,13],[3,4,5,11,12,13],[3,4,7,9,12,13],[3,5,6,7,9,11],[3,6,7,8,9,10],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5142]:=Group([(1,13)(3,11)(4,10)(5,7)]);
# Design 5143: autom. group order 2, simple
B[5143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,7,8,10,12],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,9,10,12],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,9,12,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,6,8,10,13]];
G[5143]:=Group([(1,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 5144: autom. group order 2, simple
B[5144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,9,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,7,10,12,13],[2,4,8,9,10,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,10],[3,6,7,10,11,12],[4,5,6,7,9,12],[4,5,6,8,11,13]];
G[5144]:=Group([(1,9)(3,10)(4,8)(6,11)(7,12)]);
# Design 5145: autom. group order 2, simple
B[5145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,9,10,11,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,7,8,10,12],[1,5,7,9,11,12],[1,6,7,8,10,13],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,7,8,9],[3,4,5,10,11,13],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,6,7,8,9,11],[4,5,6,7,11,13],[4,5,6,9,10,12]];
G[5145]:=Group([(1,13)(3,8)(4,12)(6,9)(7,11)]);
# Design 5146: autom. group order 2, simple
B[5146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,6,10,11,12],[1,3,7,8,9,12],[1,4,6,7,12,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,11,12],[3,4,5,7,11,13],[3,4,5,8,11,12],[3,4,9,10,12,13],[3,5,6,9,11,13],[3,6,7,8,9,10],[4,5,6,7,9,10],[4,5,6,8,10,12]];
G[5146]:=Group([(1,11)(3,12)(4,9)(5,7)]);
# Design 5147: autom. group order 2, simple
B[5147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,6,8,10,13],[1,4,7,8,9,13],[1,5,7,10,12,13],[1,5,8,10,11,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,7,8,12],[2,5,6,8,9,10],[2,6,7,9,12,13],[3,4,5,8,12,13],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,5,6,7,11,13],[3,6,7,8,10,11],[4,5,6,9,10,13],[4,5,7,8,9,11]];
G[5147]:=Group([(1,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 5148: autom. group order 2, simple
B[5148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,8,10,11,13],[3,4,5,9,11,13],[3,4,5,10,12,13],[3,4,6,7,8,13],[3,5,6,7,8,12],[3,6,7,9,10,11],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[5148]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 5149: autom. group order 2, simple, derived
B[5149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,6,7,8,12],[3,6,7,9,10,11],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[5149]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 5150: autom. group order 2, simple, derived
B[5150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,7,8,9,12],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,6,8,10,11,13],[3,4,5,8,9,13],[3,4,5,11,12,13],[3,4,6,7,10,13],[3,5,6,7,10,12],[3,6,7,8,9,11],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[5150]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 5151: autom. group order 2, simple
B[5151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,7,8,9,12],[2,3,10,11,12,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,6,8,10,11,13],[3,4,5,8,12,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,5,6,7,10,12],[3,6,7,8,9,11],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[5151]:=Group([(2,13)(3,12)(4,9)(5,7)]);
# Design 5152: autom. group order 2, simple
B[5152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,5,8,11,12,13],[1,6,7,9,12,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,8,10,13],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,6,10,11,13],[3,5,6,7,8,12],[3,6,8,9,10,11],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[5152]:=Group([(1,9)(2,7)(3,13)(5,6)(10,12)]);
# Design 5153: autom. group order 2, simple
B[5153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,7,8,11,12],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,7,8,9,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,6,10,11,13],[3,5,6,7,8,10],[3,6,8,9,11,12],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[5153]:=Group([(1,9)(2,7)(3,13)(5,6)(10,12)]);
# Design 5154: autom. group order 2, simple
B[5154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,10,11,12],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,9,12,13],[2,3,7,8,11,13],[2,3,8,9,10,12],[2,4,7,8,9,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,5,6,8,11,13],[3,6,8,9,11,12],[4,5,6,7,8,10],[4,5,7,9,10,11]];
G[5154]:=Group([(1,11)(2,8)(4,13)(5,6)(10,12)]);
# Design 5155: autom. group order 2, simple
B[5155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,8,11,13],[2,3,8,9,10,12],[2,4,7,8,9,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,6,7,9,10,11],[3,4,5,7,10,11],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,5,6,8,11,13],[3,6,8,9,11,12],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[5155]:=Group([(1,11)(2,8)(4,13)(5,6)(10,12)]);
# Design 5156: autom. group order 2, simple
B[5156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,8,9],[1,3,9,10,12,13],[1,4,6,7,10,13],[1,4,8,10,11,12],[1,5,7,8,11,12],[1,5,7,10,11,13],[1,6,8,9,12,13],[2,3,7,8,11,13],[2,3,8,10,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,6,7,9,10,11],[3,4,5,7,12,13],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5156]:=Group([(1,9)(2,8)(3,13)(5,6)(7,11)(10,12)]);
# Design 5157: autom. group order 2, simple
B[5157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,8,10,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,7,8,9,11],[1,5,7,8,12,13],[1,6,9,10,11,12],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,7,12,13],[2,6,8,9,12,13],[3,4,5,8,11,12],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,5,6,10,11,13],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[5157]:=Group([(2,6)(3,11)(5,12)(7,13)(9,10)]);
# Design 5158: autom. group order 2, simple
B[5158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,12,13],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,8,10,12],[1,6,8,11,12,13],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,7,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,5,8,12,13],[3,4,6,8,9,10],[3,5,6,10,11,13],[3,6,7,8,9,11],[4,5,6,7,9,13],[4,5,9,10,11,12]];
G[5158]:=Group([(2,6)(3,11)(5,12)(8,10)(9,13)]);
# Design 5159: autom. group order 2, simple
B[5159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,8,9,12],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,7,10,11,13],[1,6,8,11,12,13],[2,3,7,8,11,13],[2,3,10,11,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,5,10,12,13],[3,4,6,8,10,13],[3,5,6,8,9,11],[3,6,7,9,10,11],[4,5,6,7,9,13],[4,5,8,9,11,12]];
G[5159]:=Group([(2,6)(3,11)(5,12)(8,10)(9,13)]);
# Design 5160: autom. group order 2, simple, derived
B[5160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,7,11,12],[1,3,10,11,12,13],[1,4,7,8,10,12],[1,4,9,10,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,5,7,9,10,11],[3,6,7,8,9,10],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5160]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 5161: autom. group order 2, simple, derived
B[5161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,7,11,13],[1,3,9,11,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,9,10,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,7,9,11,12],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,10,11],[3,4,5,10,12,13],[3,4,6,8,9,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11],[4,5,6,7,12,13]];
G[5161]:=Group([(1,13)(3,11)(4,10)(5,8)]);
# Design 5162: autom. group order 2, simple
B[5162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,7,8,10,12],[1,4,7,9,12,13],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,9,10,12],[2,5,7,8,9,12],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,5,7,11,12,13],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,6,8,10,13]];
G[5162]:=Group([(1,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 5163: autom. group order 2, simple, derived
B[5163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,10,12,13],[1,3,7,8,11,12],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,7,8,11],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,8,9,13],[3,4,5,11,12,13],[3,4,6,7,11,12],[3,5,7,9,10,11],[3,6,7,8,9,10],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5163]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 5164: autom. group order 2, simple
B[5164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,9,11,12,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5164]:=Group([(2,12)(3,9)(5,13)(6,11)(7,10)]);
# Design 5165: autom. group order 2, simple, derived
B[5165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,7,10,12],[3,4,5,10,11,13],[3,4,6,7,8,13],[3,5,7,9,11,12],[3,6,7,8,9,10],[4,5,6,8,9,12],[4,5,6,9,11,13]];
G[5165]:=Group([(2,13)(3,12)(4,10)(5,7)]);
# Design 5166: autom. group order 2, simple, derived
B[5166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5166]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5167: autom. group order 2, simple, derived
B[5167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5167]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5168: autom. group order 2, simple, derived
B[5168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5168]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5169: autom. group order 2, simple, derived
B[5169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5169]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5170: autom. group order 2, simple, derived
B[5170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5170]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5171: autom. group order 2, simple, derived
B[5171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,9,13],[1,5,7,8,10,11],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5171]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5172: autom. group order 2, simple, derived
B[5172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5172]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5173: autom. group order 2, simple, derived
B[5173]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5173]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5174: autom. group order 2, simple, derived
B[5174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5174]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5175: autom. group order 2, simple, derived
B[5175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5175]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5176: autom. group order 2, simple, derived
B[5176]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,9,10,11],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5176]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5177: autom. group order 2, simple, derived
B[5177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5177]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5178: autom. group order 2, simple, derived
B[5178]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5178]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5179: autom. group order 2, simple, derived
B[5179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5179]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5180: autom. group order 2, simple
B[5180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5180]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5181: autom. group order 2, simple
B[5181]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5181]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5182: autom. group order 2, simple
B[5182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5182]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5183: autom. group order 2, simple
B[5183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5183]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5184: autom. group order 2, simple
B[5184]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5184]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5185: autom. group order 2, simple
B[5185]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,9,10,11],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5185]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5186: autom. group order 2, simple
B[5186]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5186]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5187: autom. group order 2, simple
B[5187]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5187]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5188: autom. group order 2, simple
B[5188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5188]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5189: autom. group order 2, simple
B[5189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5189]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5190: autom. group order 2, simple
B[5190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5190]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5191: autom. group order 2, simple
B[5191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5191]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5192: autom. group order 2, simple
B[5192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,9,11],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5192]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5193: autom. group order 2, simple
B[5193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5193]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5194: autom. group order 2, simple
B[5194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5194]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5195: autom. group order 2, simple
B[5195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5195]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5196: autom. group order 2, simple
B[5196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5196]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5197: autom. group order 2, simple
B[5197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,8,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5197]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5198: autom. group order 2, simple
B[5198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5198]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5199: autom. group order 2, simple
B[5199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5199]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5200: autom. group order 2, simple
B[5200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5200]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5201: autom. group order 2, simple
B[5201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5201]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5202: autom. group order 2, simple
B[5202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5202]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5203: autom. group order 2, simple
B[5203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5203]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5204: autom. group order 2, simple
B[5204]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5204]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5205: autom. group order 2, simple
B[5205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5205]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5206: autom. group order 2, simple, derived
B[5206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5206]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5207: autom. group order 2, simple, derived
B[5207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5207]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5208: autom. group order 2, simple, derived
B[5208]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5208]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5209: autom. group order 2, simple, derived
B[5209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5209]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5210: autom. group order 2, simple
B[5210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5210]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5211: autom. group order 2, simple
B[5211]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5211]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5212: autom. group order 2, simple
B[5212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5212]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5213: autom. group order 2, simple
B[5213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5213]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5214: autom. group order 2, simple
B[5214]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5214]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5215: autom. group order 2, simple
B[5215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,9,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5215]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5216: autom. group order 2, simple
B[5216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5216]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5217: autom. group order 2, simple
B[5217]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5217]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5218: autom. group order 2, simple
B[5218]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5218]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5219: autom. group order 2, simple
B[5219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5219]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5220: autom. group order 2, simple, derived
B[5220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5220]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5221: autom. group order 2, simple, derived
B[5221]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5221]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5222: autom. group order 2, simple, derived
B[5222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5222]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5223: autom. group order 2, simple, derived
B[5223]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5223]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5224: autom. group order 2, simple, derived
B[5224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5224]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5225: autom. group order 2, simple, derived
B[5225]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5225]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5226: autom. group order 2, simple
B[5226]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5226]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5227: autom. group order 2, simple
B[5227]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5227]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5228: autom. group order 2, simple
B[5228]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,9,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5228]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5229: autom. group order 2, simple
B[5229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5229]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5230: autom. group order 2, simple
B[5230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5230]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5231: autom. group order 2, simple
B[5231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5231]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5232: autom. group order 2, simple
B[5232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5232]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5233: autom. group order 2, simple
B[5233]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5233]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5234: autom. group order 2, simple
B[5234]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5234]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5235: autom. group order 2, simple
B[5235]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5235]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5236: autom. group order 2, simple
B[5236]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5236]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5237: autom. group order 2, simple
B[5237]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5237]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5238: autom. group order 2, simple
B[5238]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5238]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5239: autom. group order 2, simple
B[5239]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,10,11,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,8,9,11],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5239]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5240: autom. group order 2, simple, derived
B[5240]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,7,8,10,12],[1,4,7,9,11,13],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,6,9,10,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,6,10,11,13],[3,5,7,9,10,11],[3,6,7,8,9,10],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5240]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 5241: autom. group order 2, simple, derived
B[5241]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5241]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5242: autom. group order 2, simple, derived
B[5242]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5242]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5243: autom. group order 2, simple, derived
B[5243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5243]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5244: autom. group order 2, simple, derived
B[5244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5244]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5245: autom. group order 2, simple, derived
B[5245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5245]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5246: autom. group order 2, simple
B[5246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5246]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5247: autom. group order 2, simple
B[5247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5247]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5248: autom. group order 2, simple
B[5248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5248]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5249: autom. group order 2, simple
B[5249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5249]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5250: autom. group order 2, simple
B[5250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,12],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5250]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5251: autom. group order 2, simple
B[5251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5251]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5252: autom. group order 2, simple
B[5252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,9,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5252]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5253: autom. group order 2, simple
B[5253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5253]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5254: autom. group order 2, simple
B[5254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,11],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5254]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5255: autom. group order 2, simple
B[5255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5255]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5256: autom. group order 2, simple
B[5256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,7,10,11,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5256]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5257: autom. group order 2, simple
B[5257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,10,11,12,13],[1,4,7,8,10,13],[1,4,8,9,12,13],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,3,7,10,11,12],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,5,9,10,13],[3,4,6,8,9,11],[3,5,7,8,9,12],[3,6,7,9,11,13],[4,5,6,7,10,11],[4,5,6,10,12,13]];
G[5257]:=Group([(2,8)(3,7)(5,10)(6,13)(9,11)]);
# Design 5258: autom. group order 2, simple, derived
B[5258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,8,9,10,12],[3,4,5,8,9,13],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,5,7,9,10,11],[3,6,7,8,9,10],[4,5,6,7,10,13],[4,5,6,10,11,12]];
G[5258]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 5259: autom. group order 2, simple, derived
B[5259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5259]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5260: autom. group order 2, simple, derived
B[5260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,10,11],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5260]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5261: autom. group order 2, simple, derived
B[5261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5261]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5262: autom. group order 2, simple, derived
B[5262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5262]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5263: autom. group order 2, simple, derived
B[5263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5263]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5264: autom. group order 2, simple, derived
B[5264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5264]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5265: autom. group order 2, simple, derived
B[5265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5265]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5266: autom. group order 2, simple, derived
B[5266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5266]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5267: autom. group order 2, simple, derived
B[5267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5267]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5268: autom. group order 2, simple, derived
B[5268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5268]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5269: autom. group order 2, simple, derived
B[5269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5269]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5270: autom. group order 2, simple
B[5270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5270]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5271: autom. group order 2, simple
B[5271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,7,10,13],[1,5,7,8,10,11],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5271]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5272: autom. group order 2, simple
B[5272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5272]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5273: autom. group order 2, simple
B[5273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5273]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5274: autom. group order 2, simple
B[5274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5274]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5275: autom. group order 2, simple
B[5275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5275]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5276: autom. group order 2, simple
B[5276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5276]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5277: autom. group order 2, simple
B[5277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5277]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5278: autom. group order 2, simple
B[5278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5278]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5279: autom. group order 2, simple
B[5279]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5279]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5280: autom. group order 2, simple
B[5280]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5280]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5281: autom. group order 2, simple
B[5281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5281]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5282: autom. group order 2, simple
B[5282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5282]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5283: autom. group order 2, simple
B[5283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5283]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5284: autom. group order 2, simple
B[5284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,9,11],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5284]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5285: autom. group order 2, simple
B[5285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5285]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5286: autom. group order 2, simple
B[5286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5286]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5287: autom. group order 2, simple
B[5287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,10,11,13],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5287]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5288: autom. group order 2, simple
B[5288]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5288]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5289: autom. group order 2, simple
B[5289]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5289]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5290: autom. group order 2, simple
B[5290]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5290]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5291: autom. group order 2, simple
B[5291]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,10,11],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5291]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5292: autom. group order 2, simple
B[5292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,11,13],[1,4,8,9,10,12],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5292]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5293: autom. group order 2, simple
B[5293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,7,10,11],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5293]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5294: autom. group order 2, simple
B[5294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,8,9,11,13],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,10,12,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5294]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5295: autom. group order 2, simple
B[5295]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,7,10,11],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5295]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5296: autom. group order 2, simple
B[5296]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5296]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5297: autom. group order 2, simple
B[5297]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5297]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5298: autom. group order 2, simple
B[5298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,9,11],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5298]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5299: autom. group order 2, simple
B[5299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,7,10,11],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5299]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5300: autom. group order 2, simple
B[5300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,10,12,13],[1,4,7,9,10,11],[1,4,8,9,10,12],[1,5,6,8,11,13],[1,5,7,9,12,13],[1,6,7,8,11,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,7,9,12,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,5,7,8,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,5,8,9,11,12],[3,6,7,9,10,11],[4,5,6,7,8,9],[4,5,6,10,12,13]];
G[5300]:=Group([(2,5)(3,9)(4,13)(6,11)(8,12)]);
# Design 5301: autom. group order 2, simple, derived
B[5301]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5301]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5302: autom. group order 2, simple, derived
B[5302]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5302]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5303: autom. group order 2, simple, derived
B[5303]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5303]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5304: autom. group order 2, simple, derived
B[5304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,11],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5304]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5305: autom. group order 2, simple, derived
B[5305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5305]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5306: autom. group order 2, simple, derived
B[5306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,11],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5306]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5307: autom. group order 2, simple, derived
B[5307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5307]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5308: autom. group order 2, simple, derived
B[5308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5308]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5309: autom. group order 2, simple, derived
B[5309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5309]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5310: autom. group order 2, simple, derived
B[5310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5310]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5311: autom. group order 2, simple, derived
B[5311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5311]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5312: autom. group order 2, simple, derived
B[5312]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,9,13],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5312]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5313: autom. group order 2, simple, derived
B[5313]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5313]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5314: autom. group order 2, simple, derived
B[5314]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5314]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5315: autom. group order 2, simple, derived
B[5315]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5315]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5316: autom. group order 2, simple, derived
B[5316]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5316]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5317: autom. group order 2, simple, derived
B[5317]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5317]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5318: autom. group order 2, simple
B[5318]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5318]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5319: autom. group order 2, simple
B[5319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5319]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5320: autom. group order 2, simple
B[5320]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5320]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5321: autom. group order 2, simple
B[5321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5321]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5322: autom. group order 2, simple
B[5322]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5322]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5323: autom. group order 2, simple
B[5323]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5323]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5324: autom. group order 2, simple
B[5324]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5324]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5325: autom. group order 2, simple
B[5325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5325]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5326: autom. group order 2, simple
B[5326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5326]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5327: autom. group order 2, simple
B[5327]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5327]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5328: autom. group order 2, simple
B[5328]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5328]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5329: autom. group order 2, simple
B[5329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5329]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5330: autom. group order 2, simple
B[5330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,7,10,11,13],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5330]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5331: autom. group order 2, simple
B[5331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5331]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5332: autom. group order 2, simple
B[5332]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,9,12],[1,3,10,11,12,13],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,7,8,13],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,9,10],[4,5,6,10,12,13]];
G[5332]:=Group([(1,5)(3,9)(4,13)(6,11)(7,12)]);
# Design 5333: autom. group order 2, simple
B[5333]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5333]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5334: autom. group order 2, simple
B[5334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5334]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5335: autom. group order 2, simple
B[5335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5335]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5336: autom. group order 2, simple
B[5336]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,5,8,10,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5336]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5337: autom. group order 2, simple
B[5337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5337]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5338: autom. group order 2, simple
B[5338]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5338]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5339: autom. group order 2, simple
B[5339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,10,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5339]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5340: autom. group order 2, simple
B[5340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5340]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5341: autom. group order 2, simple
B[5341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,9,12],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5341]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5342: autom. group order 2, simple
B[5342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,11,13],[1,4,8,9,10,11],[1,5,6,8,9,12],[1,5,7,10,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,12],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5342]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5343: autom. group order 2, simple
B[5343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,11,13],[1,4,8,9,10,12],[1,5,6,8,9,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5343]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5344: autom. group order 2, simple
B[5344]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,9,11],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5344]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5345: autom. group order 2, simple
B[5345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,8,9,11,13],[1,5,6,8,10,12],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,10,12,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5345]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5346: autom. group order 2, simple
B[5346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5346]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5347: autom. group order 2, simple
B[5347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,8,9,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5347]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5348: autom. group order 2, simple
B[5348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,9,10,12],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5348]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5349: autom. group order 2, simple
B[5349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,12],[1,5,6,8,9,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5349]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5350: autom. group order 2, simple
B[5350]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,8,9,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5350]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5351: autom. group order 2, simple, derived
B[5351]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,9,13],[1,5,7,8,10,11],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5351]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5352: autom. group order 2, simple, derived
B[5352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5352]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5353: autom. group order 2, simple, derived
B[5353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,8,9,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5353]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5354: autom. group order 2, simple, derived
B[5354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5354]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5355: autom. group order 2, simple
B[5355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5355]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5356: autom. group order 2, simple
B[5356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,7,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,8,9,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5356]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5357: autom. group order 2, simple
B[5357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5357]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5358: autom. group order 2, simple
B[5358]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5358]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5359: autom. group order 2, simple
B[5359]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,8,9,10,11],[1,4,8,10,12,13],[1,5,6,7,10,11],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5359]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5360: autom. group order 2, simple
B[5360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,8,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,7,9,10,11],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5360]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5361: autom. group order 2, simple
B[5361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,8,9,10,11],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,5,7,10,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,12],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,9,11],[3,4,5,7,10,11],[3,4,5,8,9,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5361]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5362: autom. group order 2, simple
B[5362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,8,9,10,12],[1,4,8,9,11,13],[1,5,6,7,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,9,11],[3,4,5,8,10,12],[3,4,6,11,12,13],[3,5,7,8,11,12],[3,6,9,10,11,12],[4,5,6,7,8,13],[4,5,6,9,10,13]];
G[5362]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 5363: autom. group order 2, simple
B[5363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,7,10,11],[1,3,7,8,12,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,8,11,13],[1,5,9,11,12,13],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,3,9,10,11,13],[2,4,6,8,9,13],[2,4,7,9,11,12],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,6,7,10,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,5,6,7,9,12],[3,6,7,8,9,11],[4,5,6,7,10,13],[4,5,7,8,9,10]];
G[5363]:=Group([(1,7)(2,10)(3,13)(5,6)(8,12)(9,11)]);
# Design 5364: autom. group order 2, simple
B[5364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,7,9,11],[1,3,8,9,12,13],[1,4,7,8,10,12],[1,4,7,9,10,13],[1,5,6,8,12,13],[1,5,8,10,11,13],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,3,9,11,12,13],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,5,10,11,13],[3,4,6,8,11,13],[3,5,6,7,10,12],[3,6,7,8,10,11],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[5364]:=Group([(1,7)(2,9)(3,13)(5,6)(8,10)]);
# Design 5365: autom. group order 2, simple
B[5365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,7,9,10,12],[1,4,8,9,11,12],[1,5,6,8,9,10],[1,5,7,8,12,13],[1,6,8,10,11,13],[2,3,7,8,10,11],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,5,6,7,9,12],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[5365]:=Group([(1,11)(3,10)(4,12)(5,7)(8,9)]);
# Design 5366: autom. group order 2, simple, derived
B[5366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,6,9,11,13],[1,3,7,10,11,12],[1,4,7,9,10,11],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,9,10,11,13],[2,5,6,9,10,12],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,6,8,10,13],[3,5,6,7,11,13],[3,6,7,8,9,10],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[5366]:=Group([(2,13)(3,12)(4,9)(5,8)]);
# Design 5367: autom. group order 2, simple, derived
B[5367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,7,12,13],[1,3,6,10,12,13],[1,3,7,8,11,12],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,8,11,13],[1,5,9,11,12,13],[1,6,7,8,9,10],[2,3,8,10,11,12],[2,3,9,10,11,13],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,7,10,13],[3,4,5,8,11,13],[3,4,6,9,11,12],[3,5,6,7,9,12],[3,6,7,8,9,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[5367]:=Group([(1,7)(2,10)(3,11)(5,6)(8,12)(9,13)]);
# Design 5368: autom. group order 2, simple
B[5368]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,8,10,11,13],[1,4,7,9,10,11],[1,4,10,11,12,13],[1,5,6,7,9,12],[1,5,8,9,10,12],[1,6,7,8,12,13],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,6,9,10,13],[2,4,7,8,9,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,9,12,13],[3,4,6,7,10,12],[3,5,6,7,11,13],[3,6,7,9,10,11],[4,5,6,8,10,13],[4,5,7,8,9,11]];
G[5368]:=Group([(2,11)(3,10)(5,13)(6,12)(8,9)]);
# Design 5369: autom. group order 2, simple, derived
B[5369]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,9,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,5,8,10,12,13],[1,6,7,10,12,13],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,11,12],[3,4,5,7,10,12],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,5,6,9,11,13],[3,6,7,8,9,10],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[5369]:=Group([(2,13)(3,12)(4,10)(5,7)]);
# Design 5370: autom. group order 2, simple
B[5370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,9,11,12,13],[1,5,6,9,10,12],[1,5,7,8,10,12],[1,6,7,8,10,13],[2,3,7,8,9,12],[2,3,10,11,12,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,5,6,7,11,13],[3,6,7,9,10,11],[4,5,6,8,9,13],[4,5,7,8,11,12]];
G[5370]:=Group([(2,11)(3,9)(5,13)(6,12)(8,10)]);
# Design 5371: autom. group order 2, simple
B[5371]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,10,12],[1,3,8,11,12,13],[1,4,7,9,12,13],[1,4,9,10,11,13],[1,5,6,8,9,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[2,3,7,8,9,11],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,9,10,11,12],[2,6,7,9,11,12],[3,4,5,7,10,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,5,6,7,9,13],[3,6,7,10,11,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[5371]:=Group([(1,11)(3,9)(4,12)(5,7)(8,10)]);
# Design 5372: autom. group order 2, simple
B[5372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,12,13],[1,3,8,9,11,13],[1,4,7,9,10,11],[1,4,9,11,12,13],[1,5,6,9,10,12],[1,5,7,8,10,12],[1,6,7,8,10,13],[2,3,7,8,9,12],[2,3,10,11,12,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,5,10,12,13],[3,4,6,8,10,11],[3,5,6,7,11,12],[3,6,7,9,10,11],[4,5,6,8,9,13],[4,5,7,8,11,12]];
G[5372]:=Group([(2,11)(3,9)(5,13)(6,12)(8,10)]);
# Design 5373: autom. group order 2, simple
B[5373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,8,10,11,12],[1,4,7,9,10,12],[1,4,8,9,10,13],[1,5,6,8,11,12],[1,5,7,10,12,13],[1,6,7,9,11,13],[2,3,7,8,12,13],[2,3,9,11,12,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,8,9,10],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,7,10,11],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,5,6,10,12,13],[3,6,7,8,10,11],[4,5,6,7,8,13],[4,5,8,9,11,12]];
G[5373]:=Group([(1,10)(2,11)(4,7)(5,8)(9,12)]);
# Design 5374: autom. group order 2, simple
B[5374]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,8,9,11,12],[1,4,7,8,10,13],[1,4,9,10,11,13],[1,5,6,8,10,12],[1,5,7,9,12,13],[1,6,7,10,11,12],[2,3,7,10,11,12],[2,3,9,10,12,13],[2,4,6,9,11,13],[2,4,8,10,12,13],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,8,9,10],[3,4,5,7,12,13],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,5,6,10,11,13],[3,6,7,8,11,13],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[5374]:=Group([(1,10)(4,12)(5,9)(6,13)(8,11)]);
# Design 5375: autom. group order 2, simple
B[5375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,10,11,12],[1,4,7,9,12,13],[1,4,8,9,10,13],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,7,8,9,11],[2,3,7,8,12,13],[2,3,8,9,11,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,7,8,10,13],[2,6,8,9,10,12],[3,4,5,8,10,11],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,5,6,7,9,12],[3,6,9,10,11,13],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[5375]:=Group([(1,8)(4,7)(5,12)(6,13)(10,11)]);
# Design 5376: autom. group order 2, simple
B[5376]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,7,8,9,10],[1,4,7,10,11,13],[1,5,6,10,12,13],[1,5,7,8,11,12],[1,6,8,9,10,11],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,9,10,12],[3,5,6,8,10,11],[3,6,7,9,11,13],[4,5,6,7,9,11],[4,5,8,9,12,13]];
G[5376]:=Group([(1,11)(2,8)(4,10)(7,13)(9,12)]);
# Design 5377: autom. group order 2, simple
B[5377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,8,10,11],[1,4,7,10,12,13],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,6,8,9,10,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,9,10,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,9,10,11],[3,5,6,8,10,12],[3,6,7,11,12,13],[4,5,6,7,9,12],[4,5,8,9,11,13]];
G[5377]:=Group([(1,12)(2,8)(4,10)(7,13)(9,11)]);
# Design 5378: autom. group order 2, simple
B[5378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,7,10,11,13],[2,3,8,10,12,13],[2,4,6,7,9,10],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,7,8,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,6,10,12,13],[4,5,7,8,9,11]];
G[5378]:=Group([(1,5)(3,9)(4,13)(6,11)(8,12)]);
# Design 5379: autom. group order 2, simple
B[5379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,6,7,12,13],[1,3,8,9,12,13],[1,4,7,10,11,12],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,7,8,9,11],[1,6,8,10,11,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,5,7,10,12],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,6,9,11,12],[4,5,7,8,9,13]];
G[5379]:=Group([(1,11)(2,8)(4,10)(7,12)(9,13)]);
# Design 5380: autom. group order 2, simple
B[5380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,7,10,12,13],[1,4,8,10,11,13],[1,5,6,7,10,11],[1,5,7,8,9,12],[1,6,8,9,10,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,9,10,11,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,9,10,11],[3,5,6,8,10,12],[3,6,7,11,12,13],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[5380]:=Group([(1,12)(2,8)(4,10)(7,13)(9,11)]);
# Design 5381: autom. group order 2, simple
B[5381]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,7,10,11],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,5,6,8,10,12],[3,6,7,11,12,13],[4,5,6,9,11,12],[4,5,7,8,9,11]];
G[5381]:=Group([(1,12)(2,8)(4,10)(7,11)(9,13)]);
# Design 5382: autom. group order 2, simple
B[5382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,7,11,13],[1,3,8,9,11,13],[1,4,8,9,10,11],[1,4,9,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,7,8,9],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,7,10,11],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,5,6,8,10,12],[3,6,7,9,11,12],[4,5,6,9,11,12],[4,5,7,8,11,13]];
G[5382]:=Group([(1,12)(2,8)(4,10)(7,11)(9,13)]);
# Design 5383: autom. group order 2, simple
B[5383]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,5,11,12,13],[1,3,6,10,12,13],[1,3,7,9,11,12],[1,4,7,8,10,13],[1,4,8,9,11,13],[1,5,6,7,12,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,6,7,10,12],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,5,8,12,13],[3,4,5,9,10,13],[3,4,6,8,11,12],[3,5,6,7,8,9],[3,6,7,9,11,13],[4,5,6,7,10,11],[4,5,9,10,11,12]];
G[5383]:=Group([(2,8)(3,7)(5,10)(6,13)(9,11)]);
# Design 5384: autom. group order 2, simple
B[5384]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,10,12,13],[1,3,7,10,11,12],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,7,8,9,12],[1,6,8,9,10,11],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,7,8,10,12],[2,6,7,11,12,13],[3,4,5,7,11,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,5,6,9,12,13],[3,6,7,8,9,11],[4,5,6,8,10,13],[4,5,9,10,11,12]];
G[5384]:=Group([(1,6)(3,12)(5,11)(7,9)(10,13)]);
# Design 5385: autom. group order 2, simple
B[5385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,10,12,13],[1,3,7,9,11,12],[1,4,7,8,10,13],[1,4,8,9,12,13],[1,5,6,7,12,13],[1,5,7,8,10,11],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,7,8,11,12],[3,4,5,7,11,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,5,6,8,10,12],[3,6,7,9,11,13],[4,5,6,8,9,13],[4,5,9,10,11,12]];
G[5385]:=Group([(2,8)(3,7)(5,10)(6,13)(9,11)]);
# Design 5386: autom. group order 2, simple
B[5386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,7,10,11,12],[1,4,7,8,9,13],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,7,8,9,11],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,7,12,13],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,5,6,8,9,12],[3,6,7,10,11,13],[4,5,6,8,11,13],[4,5,9,10,11,12]];
G[5386]:=Group([(2,8)(3,7)(5,9)(6,13)(10,11)]);
# Design 5387: autom. group order 2, simple
B[5387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,7,8,12,13],[1,4,7,9,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,6,7,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,8,9,13],[2,6,9,10,12,13],[3,4,5,7,9,11],[3,4,5,10,12,13],[3,4,6,8,10,13],[3,5,6,8,9,12],[3,6,7,9,11,12],[4,5,6,8,11,13],[4,5,7,10,11,12]];
G[5387]:=Group([(2,10)(3,9)(4,8)(6,11)(7,12)]);
# Design 5388: autom. group order 2, simple
B[5388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,10,12,13],[1,3,7,9,11,12],[1,4,7,10,11,13],[1,4,8,9,12,13],[1,5,6,7,8,10],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,3,8,10,11,13],[2,4,6,8,9,10],[2,4,7,9,10,12],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,7,8,13],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,5,6,7,9,12],[3,6,8,9,10,11],[4,5,6,10,12,13],[4,5,7,9,10,11]];
G[5388]:=Group([(1,5)(3,9)(4,13)(6,11)(7,12)]);
# Design 5389: autom. group order 2, simple
B[5389]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,12,13],[1,3,6,8,9,11],[1,4,6,8,12,13],[1,4,6,10,11,12],[1,5,7,9,11,13],[1,5,8,10,11,13],[1,7,8,9,10,12],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,7,8,10,13],[2,4,9,11,12,13],[2,5,6,7,11,12],[2,5,6,8,9,12],[2,6,7,8,10,11],[3,4,5,7,10,12],[3,4,5,8,11,13],[3,4,9,10,11,12],[3,5,7,8,11,12],[3,6,7,9,10,13],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[5389]:=Group([(2,5)(3,10)(4,13)(6,12)(7,11)]);
# Design 5390: autom. group order 2, simple
B[5390]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,8,13],[1,3,6,9,10,11],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,7,8,9,12,13],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,7,9,11,12],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[5390]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 5391: autom. group order 2, simple
B[5391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,8,13],[1,3,6,9,10,11],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,7,8,9,10],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,7,8,11,13],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,7,9,11,12],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[5391]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 5392: autom. group order 2, simple
B[5392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,9,12],[1,3,6,8,10,13],[1,4,6,8,11,12],[1,4,6,10,11,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,7,11,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,7,11,13],[2,5,6,8,9,11],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,5,9,12,13],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,6,7,9,10,11],[4,5,6,7,10,12],[4,5,7,8,9,10]];
G[5392]:=Group([(1,7)(2,4)(3,8)(5,10)(6,13)]);
# Design 5393: autom. group order 2, simple
B[5393]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,9,12],[1,3,6,8,10,13],[1,4,6,8,11,12],[1,4,6,10,11,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,7,11,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,5,9,11,13],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,6,7,9,10,11],[4,5,6,7,10,12],[4,5,7,8,9,10]];
G[5393]:=Group([(1,7)(2,4)(3,8)(5,10)(6,13)]);
# Design 5394: autom. group order 2, simple, derived
B[5394]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,6,7,8,10],[1,4,6,9,11,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,7,8,9,12,13],[2,3,7,8,9,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5394]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 5395: autom. group order 2, simple, derived
B[5395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,6,7,8,10],[1,4,6,9,11,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,7,8,9,13],[2,3,9,10,11,13],[2,4,6,9,10,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,7,8,11,13],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5395]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 5396: autom. group order 2, simple
B[5396]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,6,10,11,12],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,5,10,12,13],[3,4,8,9,10,11],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[5396]:=Group([(1,7)(3,12)(5,10)(6,9)(8,11)]);
# Design 5397: autom. group order 2, simple
B[5397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,6,7,12,13],[1,5,7,9,11,12],[1,8,9,10,11,12],[2,3,6,7,9,12],[2,3,10,11,12,13],[2,4,6,9,11,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,5,11,12,13],[3,4,7,9,10,11],[3,5,7,8,9,13],[3,6,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5397]:=Group([(2,11)(3,9)(4,12)(5,8)(6,10)]);
# Design 5398: autom. group order 2, simple
B[5398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,6,10,11,12],[1,4,8,9,11,13],[1,5,6,7,12,13],[1,5,7,9,10,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,7,8,10],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,8,12,13],[3,4,5,9,10,11],[3,4,7,8,10,13],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5398]:=Group([(1,5)(2,13)(3,7)(4,12)(8,11)]);
# Design 5399: autom. group order 2, simple
B[5399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,13],[1,3,6,10,11,12],[1,4,6,9,11,12],[1,4,8,10,11,13],[1,5,6,7,12,13],[1,5,7,9,10,13],[1,7,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,5,9,10,11],[3,4,7,9,11,13],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,7,8,10],[4,5,6,8,9,12]];
G[5399]:=Group([(1,5)(2,13)(3,7)(4,12)(8,11)]);
# Design 5400: autom. group order 2, simple
B[5400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,6,8,11,12],[1,4,6,11,12,13],[1,4,8,9,10,11],[1,5,6,7,8,9],[1,5,8,10,12,13],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,5,10,11,13],[3,4,7,8,9,13],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[5400]:=Group([(2,13)(3,10)(4,12)(5,7)(6,9)]);
# Design 5401: autom. group order 2, simple, derived
B[5401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,8,13],[1,3,6,9,11,13],[1,4,6,9,10,12],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,7,8,10,11,13],[2,3,6,8,10,11],[2,3,9,10,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,7,10,11,12],[3,5,8,10,12,13],[3,6,7,9,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[5401]:=Group([(1,12)(2,11)(5,7)(6,10)]);
# Design 5402: autom. group order 2, simple, derived
B[5402]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,8,13],[1,3,6,9,11,13],[1,4,6,9,10,12],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,7,8,9,10,11],[2,3,6,8,10,11],[2,3,9,10,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,12,13],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,7,10,11,12],[3,5,8,10,12,13],[3,6,7,9,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[5402]:=Group([(1,12)(2,11)(5,7)(6,10)]);
# Design 5403: autom. group order 2, simple
B[5403]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,6,7,12,13],[1,5,7,9,11,12],[1,8,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,12],[2,4,6,10,11,12],[2,5,6,7,9,10],[2,5,8,10,12,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,5,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,6,7,8,10,11],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[5403]:=Group([(2,11)(3,9)(4,12)(5,8)(6,10)]);
# Design 5404: autom. group order 2, simple
B[5404]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,7,10,12,13],[1,5,6,7,8,9],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,8,9,12],[2,3,9,10,12,13],[2,4,6,7,10,11],[2,4,6,8,10,13],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,5,9,11,13],[3,4,7,8,11,12],[3,5,6,7,10,12],[3,6,7,9,11,13],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[5404]:=Group([(1,9)(4,12)(5,10)(6,13)(7,8)]);
# Design 5405: autom. group order 2, simple
B[5405]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,8,12,13],[1,3,6,9,12,13],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,7,8,11,12],[1,5,8,9,10,11],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,9,11,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,7,9,13],[3,4,5,11,12,13],[3,4,8,9,10,12],[3,5,6,7,8,10],[3,7,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5405]:=Group([(1,12)(2,9)(3,8)(5,6)(7,10)]);
# Design 5406: autom. group order 2, simple
B[5406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,10,11,13],[2,3,6,10,11,12],[2,3,7,10,12,13],[2,4,6,9,10,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,5,11,12,13],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,7,8,9,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5406]:=Group([(2,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5407: autom. group order 2, simple
B[5407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,9,11,13],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,9,10,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,7,10,13],[3,4,5,11,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,7,8,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[5407]:=Group([(2,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5408: autom. group order 2, simple
B[5408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,8,11,12],[1,3,6,9,12,13],[1,4,6,7,11,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,9,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,5,11,12,13],[3,4,7,9,10,12],[3,5,6,7,8,10],[3,7,9,10,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5408]:=Group([(1,12)(2,9)(3,7)(5,6)(8,10)]);
# Design 5409: autom. group order 2, simple
B[5409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,9,11],[1,3,6,9,12,13],[1,4,6,8,10,12],[1,4,7,9,11,13],[1,5,7,8,9,10],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,6,7,10,11],[2,3,9,10,12,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,8,11,12],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,5,7,8,13],[3,4,5,10,11,13],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,7,8,9,11,12],[4,5,6,7,9,12],[4,5,6,9,10,11]];
G[5409]:=Group([(1,8)(2,11)(4,9)(5,12)(6,7)]);
# Design 5410: autom. group order 2, simple
B[5410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,10,11],[1,3,6,7,12,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,3,7,8,9,11],[2,4,6,10,11,13],[2,4,7,10,11,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,10,13],[3,4,5,8,11,13],[3,4,5,9,10,13],[3,4,7,9,12,13],[3,5,6,10,11,12],[3,8,9,10,11,12],[4,5,6,7,8,11],[4,5,6,7,9,12]];
G[5410]:=Group([(1,10)(2,11)(4,12)(5,6)(7,9)]);
# Design 5411: autom. group order 2, simple
B[5411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,11,12],[1,3,6,8,9,13],[1,4,6,11,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,7,9,10,13],[2,3,8,9,11,12],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,6,9,11,13],[2,6,7,8,10,11],[3,4,5,6,10,11],[3,4,5,7,12,13],[3,4,8,9,10,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[5411]:=Group([(2,5)(3,10)(4,12)(6,13)(7,8)]);
# Design 5412: autom. group order 2, simple
B[5412]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,8,9,12],[1,3,6,8,11,13],[1,4,6,11,12,13],[1,4,7,10,11,12],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,9,11,13],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,12],[2,6,7,8,10,11],[3,4,5,6,10,11],[3,4,5,7,12,13],[3,4,8,9,10,12],[3,5,7,8,11,12],[3,6,7,9,10,13],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5412]:=Group([(2,5)(3,10)(4,13)(6,12)(7,8)]);
# Design 5413: autom. group order 2, simple
B[5413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,11,13],[1,3,6,8,9,11],[1,4,6,9,10,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,8,10,12,13],[2,3,9,10,11,12],[2,4,6,10,11,13],[2,4,7,8,9,11],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,9,13],[3,4,5,6,8,12],[3,4,5,7,10,13],[3,4,7,9,12,13],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[5413]:=Group([(1,13)(3,8)(4,12)(5,6)(7,10)]);
# Design 5414: autom. group order 2, simple
B[5414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,9,11],[1,3,6,10,11,13],[1,4,6,7,9,13],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,9,10,12,13],[1,6,7,8,10,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,9,13],[3,4,5,6,8,12],[3,4,5,7,10,13],[3,4,7,9,12,13],[3,5,8,9,11,13],[3,6,7,10,11,12],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[5414]:=Group([(1,13)(3,8)(4,12)(5,6)(7,10)]);
# Design 5415: autom. group order 2, simple
B[5415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,10,13],[1,3,6,9,11,13],[1,4,6,7,10,12],[1,4,7,8,9,11],[1,5,7,8,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,6,8,9,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,6,7,10,11],[2,6,8,10,11,13],[3,4,5,6,8,11],[3,4,5,10,12,13],[3,4,8,10,11,12],[3,5,7,8,9,13],[3,6,7,9,11,12],[4,5,6,9,12,13],[4,5,7,9,10,11]];
G[5415]:=Group([(1,12)(2,10)(5,8)(6,11)(7,13)]);
# Design 5416: autom. group order 2, simple
B[5416]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,6,10,11,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,7,8,12,13],[2,3,8,9,10,13],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,6,7,11],[3,4,5,8,10,12],[3,4,7,11,12,13],[3,5,8,9,11,12],[3,6,9,10,11,12],[4,5,6,8,9,13],[4,5,7,9,10,13]];
G[5416]:=Group([(1,8)(4,7)(5,13)(6,12)(9,10)]);
# Design 5417: autom. group order 2, simple
B[5417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,6,10,11,13],[1,4,6,8,10,12],[1,4,8,10,11,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,7,8,12,13],[2,3,8,9,10,13],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,6,7,11],[3,4,5,8,10,12],[3,4,7,11,12,13],[3,5,8,9,11,12],[3,6,9,10,11,12],[4,5,6,8,9,13],[4,5,7,9,10,13]];
G[5417]:=Group([(1,8)(4,7)(5,13)(6,12)(9,10)]);
# Design 5418: autom. group order 2, simple
B[5418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,10,12],[1,3,6,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,7,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[2,3,7,8,10,11],[2,3,7,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,8,9,13],[2,5,6,8,10,12],[2,6,7,9,11,12],[3,4,5,8,9,11],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,5,6,7,9,13],[3,8,9,10,11,13],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[5418]:=Group([(1,11)(2,8)(4,10)(5,9)(6,13)]);
# Design 5419: autom. group order 2, simple
B[5419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,11],[1,3,6,11,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,7,8,9,13],[2,3,7,10,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,6,7,9,11,12],[3,4,5,9,10,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,5,6,7,10,11],[3,8,9,10,11,13],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[5419]:=Group([(1,9)(2,8)(4,13)(5,11)(6,10)]);
# Design 5420: autom. group order 2, simple
B[5420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,7,9,12,13],[1,4,6,8,9,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,10,11],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,7,8,13],[3,4,5,10,11,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,6,7,9,11,13],[4,5,6,7,9,10],[4,5,7,9,11,12]];
G[5420]:=Group([(1,11)(2,10)(5,8)(6,12)(7,13)]);
# Design 5421: autom. group order 2, simple
B[5421]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,8,10,13],[1,4,6,9,10,12],[1,5,6,7,10,11],[1,5,7,8,9,13],[1,8,10,11,12,13],[2,3,6,10,11,13],[2,3,7,8,10,12],[2,4,6,9,12,13],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,8,10,13],[3,4,5,11,12,13],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[5421]:=Group([(1,6)(2,11)(3,7)(4,10)(8,9)(12,13)]);
# Design 5422: autom. group order 2, simple, derived
B[5422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,7,10,11,13],[3,5,6,9,10,11],[3,6,7,8,9,10],[4,5,6,7,10,12],[4,5,7,8,9,13]];
G[5422]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 5423: autom. group order 2, simple
B[5423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,9,12],[1,3,8,10,11,13],[1,4,6,8,11,12],[1,4,6,10,11,13],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,7,8,9,12,13],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,7,11,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,8,12,13],[3,4,5,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,6,7,9,10,13],[4,5,6,7,10,12],[4,5,7,8,9,10]];
G[5423]:=Group([(1,7)(2,4)(3,8)(5,10)(6,13)]);
# Design 5424: autom. group order 2, simple
B[5424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,8,9,12,13],[1,4,6,8,10,11],[1,4,6,9,10,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,7,8,10,11,13],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,6,11,12,13],[2,4,7,8,9,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,12],[3,4,5,8,12,13],[3,4,5,10,11,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,6,7,9,11,13],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[5424]:=Group([(1,7)(2,4)(3,8)(5,9)(6,13)(11,12)]);
# Design 5425: autom. group order 2, simple, derived
B[5425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,11,12,13],[1,3,7,10,11,12],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,6,7,8,11],[1,5,8,9,12,13],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,5,8,11,13],[3,4,7,9,12,13],[3,5,6,9,10,11],[3,6,7,8,9,10],[4,5,6,7,10,12],[4,5,7,10,11,13]];
G[5425]:=Group([(1,11)(3,12)(4,9)(5,8)]);
# Design 5426: autom. group order 2, simple
B[5426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,8,9,11,12],[1,4,6,8,10,11],[1,4,6,11,12,13],[1,5,6,7,8,9],[1,5,8,10,12,13],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,5,10,11,13],[3,4,7,8,9,13],[3,5,6,7,11,12],[3,6,8,9,10,11],[4,5,6,7,9,12],[4,5,7,9,10,11]];
G[5426]:=Group([(2,13)(3,10)(4,12)(5,7)(6,9)]);
# Design 5427: autom. group order 2, simple, derived
B[5427]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,11,12,13],[1,3,7,9,11,12],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,7,8,9,10,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,8,10,12],[3,4,5,8,11,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[5427]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 5428: autom. group order 2, simple
B[5428]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,10,11,13],[1,4,6,7,8,10],[1,4,6,10,12,13],[1,5,6,7,9,11],[1,5,8,9,10,12],[1,7,8,9,12,13],[2,3,6,9,10,12],[2,3,7,8,9,13],[2,4,6,8,9,12],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5428]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 5429: autom. group order 2, simple
B[5429]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,10,11,13],[1,4,6,7,8,10],[1,4,6,10,12,13],[1,5,6,7,9,11],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,6,9,10,12],[2,3,7,8,9,13],[2,4,6,8,9,12],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5429]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 5430: autom. group order 2, simple
B[5430]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,9,12,13],[1,4,6,7,9,10],[1,4,6,8,10,11],[1,5,6,8,12,13],[1,5,7,8,10,13],[1,7,9,10,11,12],[2,3,6,7,8,12],[2,3,7,10,11,13],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,9,11,13],[2,5,8,9,10,12],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,8,9,11,12],[3,5,6,8,10,11],[3,6,7,10,12,13],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[5430]:=Group([(1,9)(3,10)(4,8)(6,12)(7,13)]);
# Design 5431: autom. group order 2, simple
B[5431]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,10,11,12,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,6,8,10,13],[1,5,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,10,12],[2,3,8,9,11,13],[2,4,6,8,10,13],[2,4,7,8,12,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,9,10,11,13],[3,4,5,8,10,11],[3,4,5,11,12,13],[3,4,7,9,10,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[5431]:=Group([(2,11)(3,10)(4,7)(5,12)(6,8)(9,13)]);
# Design 5432: autom. group order 2, simple, derived
B[5432]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,5,7,12,13],[1,3,6,9,11,12],[1,3,8,10,12,13],[1,4,6,7,8,12],[1,4,6,10,11,13],[1,5,6,8,11,13],[1,5,7,8,9,11],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,8,10,12],[3,4,5,11,12,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,8,9,10,13]];
G[5432]:=Group([(1,11)(3,12)(4,10)(5,8)]);
# Design 5433: autom. group order 2, simple
B[5433]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,11,13],[1,3,7,10,12,13],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,6,7,8,11],[1,5,7,8,9,12],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,3,8,9,11,13],[2,4,6,7,9,10],[2,4,7,8,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,10,11,12],[3,4,5,8,10,12],[3,4,5,11,12,13],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,6,8,9,10,13],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[5433]:=Group([(1,5)(3,10)(4,13)(6,11)(7,8)]);
# Design 5434: autom. group order 2, simple
B[5434]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,11,13],[1,3,8,10,12,13],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,6,7,8,11],[1,5,7,8,9,12],[1,7,9,10,11,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,6,7,9,10],[2,4,7,8,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,8,10,11,12],[3,4,5,7,10,12],[3,4,5,11,12,13],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,6,7,9,10,13],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[5434]:=Group([(1,5)(3,10)(4,13)(6,11)(7,8)]);
# Design 5435: autom. group order 2, simple
B[5435]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,11,13],[1,3,8,10,11,12],[1,4,6,8,10,12],[1,4,6,9,12,13],[1,5,6,8,11,13],[1,5,7,9,10,11],[1,7,9,10,12,13],[2,3,6,9,11,12],[2,3,8,10,12,13],[2,4,7,10,11,13],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,6,10,11,12],[2,6,7,8,9,10],[3,4,5,7,9,12],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,5,7,8,12,13],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[5435]:=Group([(1,4)(3,7)(5,11)(6,12)(9,13)]);
# Design 5436: autom. group order 2, simple
B[5436]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,12,13],[1,3,7,9,12,13],[1,4,6,8,9,10],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,10,11],[2,4,8,9,12,13],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,6,7,10,12],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,5,9,10,12],[3,4,6,7,10,13],[3,5,8,10,11,13],[3,6,7,9,11,12],[4,5,6,7,9,11],[4,5,7,8,9,13]];
G[5436]:=Group([(1,11)(2,8)(4,10)(6,13)(9,12)]);
# Design 5437: autom. group order 2, simple
B[5437]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,8,9,11,12],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,6,7,12,13],[1,5,7,10,11,13],[1,7,8,9,10,12],[2,3,6,7,9,12],[2,3,10,11,12,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,8,9,11,13],[3,4,5,8,10,11],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,5,7,8,12,13],[3,6,7,9,10,11],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[5437]:=Group([(1,5)(2,13)(3,7)(4,12)(9,11)]);
# Design 5438: autom. group order 2, simple
B[5438]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,10,13],[1,3,8,9,11,12],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,6,7,12,13],[1,5,7,10,11,13],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,9,12],[2,6,8,9,11,13],[3,4,5,8,10,11],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,5,7,8,12,13],[3,6,7,9,10,11],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[5438]:=Group([(1,5)(2,13)(3,7)(4,12)(9,11)]);
# Design 5439: autom. group order 2, simple
B[5439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,6,7,12,13],[1,5,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,9,10,12,13],[2,5,6,7,8,9],[2,5,6,10,11,12],[2,6,8,10,11,13],[3,4,5,8,12,13],[3,4,5,9,10,11],[3,4,6,7,10,13],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[5439]:=Group([(1,5)(2,13)(3,7)(4,12)(8,11)]);
# Design 5440: autom. group order 2, simple
B[5440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,13],[1,3,8,10,11,12],[1,4,6,9,11,12],[1,4,6,10,11,13],[1,5,6,7,12,13],[1,5,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,7,8,9,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,6,8,10,11,13],[3,4,5,8,12,13],[3,4,5,9,10,11],[3,4,6,7,10,13],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[5440]:=Group([(1,5)(2,13)(3,7)(4,12)(8,11)]);
# Design 5441: autom. group order 2, simple
B[5441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,11,12,13],[1,3,6,11,12,13],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,8,10,11],[1,5,6,8,10,12],[1,5,7,8,9,13],[1,7,8,9,10,12],[2,3,6,7,8,12],[2,3,8,9,12,13],[2,4,7,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,6,9,10,13],[2,6,7,9,10,11],[3,4,5,7,9,11],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,5,7,10,11,12],[3,6,8,9,11,13],[4,5,6,7,12,13],[4,5,8,9,11,12]];
G[5441]:=Group([(1,7)(2,11)(4,10)(6,12)(8,13)]);
# Design 5442: autom. group order 2, simple
B[5442]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,6,11,12,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,8,9,10,11,12],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,9,12,13],[2,5,6,7,8,11],[2,5,6,10,11,12],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,5,6,7,9,12],[3,6,7,9,11,13],[4,5,7,8,10,11],[4,5,7,9,10,12]];
G[5442]:=Group([(2,5)(3,9)(4,13)(6,11)(7,8)]);
# Design 5443: autom. group order 2, simple
B[5443]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,10,12],[1,3,8,10,11,13],[1,4,6,7,9,10],[1,4,6,11,12,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,7,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,6,9,10,13],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,10,11,12],[2,6,7,8,10,13],[3,4,5,7,12,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,5,6,7,9,12],[3,6,7,9,11,13],[4,5,7,8,10,11],[4,5,8,9,10,12]];
G[5443]:=Group([(2,5)(3,9)(4,13)(6,11)(7,8)]);
# Design 5444: autom. group order 2, simple
B[5444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,6,8,10,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,7,8,11,12],[2,3,8,10,12,13],[2,4,6,11,12,13],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,6,7,9,11],[2,6,8,9,10,12],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,5,6,7,10,12],[3,6,9,10,11,13],[4,5,7,8,10,11],[4,5,7,9,12,13]];
G[5444]:=Group([(1,8)(4,7)(5,12)(6,11)(9,13)]);
# Design 5445: autom. group order 2, simple
B[5445]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,9,11,12],[1,3,6,7,9,11],[1,3,7,8,11,13],[1,4,6,8,10,12],[1,4,6,9,10,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,6,7,10,11,12],[3,4,5,7,10,11],[3,4,5,10,12,13],[3,4,6,8,11,12],[3,5,6,8,9,12],[3,6,9,10,11,13],[4,5,7,8,9,13],[4,5,7,9,11,12]];
G[5445]:=Group([(1,12)(2,8)(4,9)(5,6)(7,13)(10,11)]);
# Design 5446: autom. group order 2, simple
B[5446]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,7,9,12],[1,3,7,11,12,13],[1,4,6,8,10,11],[1,4,6,11,12,13],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,7,10,12,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,11,12],[2,6,7,8,10,11],[3,4,5,6,8,13],[3,4,5,10,11,12],[3,4,8,9,10,12],[3,5,7,8,11,12],[3,6,7,9,10,13],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[5446]:=Group([(2,5)(3,10)(4,13)(6,12)(7,8)]);
# Design 5447: autom. group order 2, simple
B[5447]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,8,10,11],[1,4,6,9,11,13],[1,5,7,8,11,12],[1,5,7,9,10,12],[1,6,8,10,12,13],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,7,10,12,13],[2,4,8,9,12,13],[2,5,6,7,11,13],[2,5,6,10,11,12],[2,6,7,8,9,10],[3,4,5,6,8,12],[3,4,5,10,12,13],[3,4,7,9,10,11],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5447]:=Group([(1,4)(3,7)(5,12)(6,11)(9,13)]);
# Design 5448: autom. group order 2, simple
B[5448]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,11,13],[1,3,8,10,11,13],[1,4,6,8,12,13],[1,4,6,9,10,12],[1,5,7,10,11,12],[1,5,8,9,11,12],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,11,12,13],[2,6,7,8,9,12],[3,4,5,6,9,11],[3,4,5,7,12,13],[3,4,9,10,12,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[5448]:=Group([(1,4)(3,7)(5,11)(6,12)(9,10)]);
# Design 5449: autom. group order 2, simple
B[5449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,8,11],[1,3,6,7,9,12],[1,3,9,11,12,13],[1,4,6,8,10,11],[1,4,6,9,10,12],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,10,13],[2,3,6,10,11,13],[2,3,8,9,10,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,6,8,9,12],[2,6,7,9,10,11],[3,4,5,6,11,13],[3,4,5,7,10,12],[3,4,7,8,9,13],[3,5,8,10,11,12],[3,6,7,8,11,12],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[5449]:=Group([(1,10)(4,13)(5,9)(6,8)(7,11)]);
# Design 5450: autom. group order 2, simple
B[5450]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,6,8,11,13],[1,4,6,9,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,9,13],[2,3,8,9,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,10,11,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5450]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5451: autom. group order 2, simple
B[5451]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,10,11,12],[1,4,6,8,11,13],[1,4,6,9,12,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,8,9,11,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,10,11,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5451]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5452: autom. group order 2, simple
B[5452]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,7,8,11,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,9,10,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5452]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5453: autom. group order 2, simple
B[5453]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,7,10,11,12],[1,4,6,9,12,13],[1,4,6,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,8,9,11,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5453]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5454: autom. group order 2, simple
B[5454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,7,10,11,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,8,9,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5454]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5455: autom. group order 2, simple
B[5455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,9,10,13],[3,4,5,7,8,13],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5455]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5456: autom. group order 2, simple
B[5456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,6,7,9,10,13],[3,4,5,7,10,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5456]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5457: autom. group order 2, simple
B[5457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,6,10,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5457]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5458: autom. group order 2, simple
B[5458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,7,8,9,12],[1,4,6,7,10,13],[1,4,6,9,12,13],[1,5,7,10,11,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,8,9,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5458]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5459: autom. group order 2, simple
B[5459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,11,12],[1,3,7,10,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,11,13],[2,3,6,7,11,13],[2,3,8,9,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,9,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5459]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5460: autom. group order 2, simple
B[5460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,12],[1,6,7,8,11,13],[2,3,6,7,11,12],[2,3,8,9,12,13],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,9,10,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5460]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5461: autom. group order 2, simple
B[5461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,6,8,9,10],[1,4,6,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,11,13],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,9,10,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5461]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5462: autom. group order 2, simple
B[5462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,6,10,11,12],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,11,13],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,6,9,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5462]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5463: autom. group order 2, simple
B[5463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,6,8,9,10],[1,4,6,8,12,13],[1,5,7,8,9,12],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,6,7,11,12],[2,3,8,9,12,13],[2,4,7,9,10,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5463]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5464: autom. group order 2, simple
B[5464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,6,8,9,10],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,10,11,12],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5464]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5465: autom. group order 2, simple
B[5465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,10,11,12],[2,6,8,9,11,13],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5465]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5466: autom. group order 2, simple
B[5466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,11,12],[1,3,7,8,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,10,11,13],[2,3,6,7,11,13],[2,3,9,10,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5466]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5467: autom. group order 2, simple
B[5467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,11,12],[1,3,7,8,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,6,7,11,13],[2,3,9,10,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5467]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5468: autom. group order 2, simple
B[5468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,8,11,13],[1,4,6,8,9,10],[1,4,6,10,11,12],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,6,7,12,13],[2,3,9,10,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5468]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5469: autom. group order 2, simple
B[5469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,8,11,13],[1,4,6,8,9,10],[1,4,6,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,6,7,12,13],[2,3,9,10,11,12],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5469]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5470: autom. group order 2, simple
B[5470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,6,8,9,10],[1,4,6,10,11,13],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,8,10,12,13],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5470]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5471: autom. group order 2, simple
B[5471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,6,10,11,12],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5471]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5472: autom. group order 2, simple
B[5472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,6,8,10,13],[1,4,6,9,10,11],[1,5,7,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,6,8,10,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5472]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5473: autom. group order 2, simple
B[5473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,8,10,12],[1,4,6,9,10,11],[1,5,7,8,10,12],[1,5,8,11,12,13],[1,6,7,8,9,13],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5473]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5474: autom. group order 2, simple
B[5474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,10,12],[1,3,7,11,12,13],[1,4,6,8,9,13],[1,4,6,10,11,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,8,13],[2,3,9,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5474]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5475: autom. group order 2, simple
B[5475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,6,8,11,13],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,7,8,10],[2,5,6,10,11,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5475]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5476: autom. group order 2, simple
B[5476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,11,12,13],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,8,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5476]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5477: autom. group order 2, simple
B[5477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,7,11,12,13],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,6,8,12,13],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5477]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5478: autom. group order 2, simple
B[5478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,11,12,13],[1,4,6,9,10,13],[1,4,6,10,11,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5478]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5479: autom. group order 2, simple
B[5479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,7,11,12,13],[1,4,6,9,10,12],[1,4,6,10,11,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,6,8,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5479]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5480: autom. group order 2, simple
B[5480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,11,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5480]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5481: autom. group order 2, simple
B[5481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,11,12,13],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5481]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5482: autom. group order 2, simple
B[5482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,11,12,13],[1,4,6,8,11,13],[1,4,6,9,10,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,6,10,11,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5482]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5483: autom. group order 2, simple
B[5483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,13],[1,3,7,11,12,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,6,10,12,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5483]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5484: autom. group order 2, simple
B[5484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,10,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,8,9,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,7,8,13],[3,5,6,9,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5484]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5485: autom. group order 2, simple
B[5485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,10,12,13],[1,4,6,8,9,10],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,9,10,11,13],[2,3,6,9,11,13],[2,3,8,9,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,10,12,13],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5485]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5486: autom. group order 2, simple
B[5486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,8,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,9,10,12,13],[2,4,7,8,9,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5486]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5487: autom. group order 2, simple
B[5487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,8,12,13],[1,4,6,8,9,10],[1,4,6,10,12,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,9,10,12,13],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5487]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5488: autom. group order 2, simple
B[5488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,10,13],[1,4,6,9,10,11],[1,5,8,9,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,7,8,10,12],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,6,8,10,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5488]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5489: autom. group order 2, simple
B[5489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,7,11,12,13],[1,4,6,8,11,13],[1,4,6,9,10,13],[1,5,8,9,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,9,11,12,13],[2,4,7,8,10,11],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,6,10,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5489]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5490: autom. group order 2, simple
B[5490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,9,10],[1,4,6,8,11,13],[1,5,8,9,11,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,10,11,12],[2,6,7,8,9,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5490]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5491: autom. group order 2, simple
B[5491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,8,11,12],[1,4,6,8,9,10],[1,4,6,10,11,13],[1,5,8,9,11,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,9,10,11,13],[2,4,7,10,11,12],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5491]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5492: autom. group order 2, simple
B[5492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,7,11,12,13],[1,4,6,8,9,13],[1,4,6,10,11,13],[1,5,8,9,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,9,10,13],[2,3,9,11,12,13],[2,4,7,8,10,11],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5492]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5493: autom. group order 2, simple
B[5493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,8,13],[1,3,9,10,11,13],[1,4,6,8,9,12],[1,4,6,9,10,11],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,8,9,10,12],[2,4,7,8,10,13],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,6,7,10,11,12],[3,4,5,7,9,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,5,6,8,11,13],[3,7,8,9,11,12],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5493]:=Group([(1,12)(2,9)(4,7)(5,8)(6,11)]);
# Design 5494: autom. group order 2, simple
B[5494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,9,10,11,13],[1,4,6,7,10,11],[1,4,6,8,10,12],[1,5,7,8,10,12],[1,5,8,11,12,13],[1,6,7,8,9,13],[2,3,6,7,12,13],[2,3,7,8,11,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5494]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5495: autom. group order 2, simple
B[5495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,12,13],[1,3,8,9,11,13],[1,4,6,7,8,10],[1,4,6,10,11,12],[1,5,7,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,7,12,13],[2,3,7,10,11,12],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,8,9,10],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5495]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5496: autom. group order 2, simple
B[5496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,9,11,12,13],[1,4,6,7,10,11],[1,4,6,10,12,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,6,7,10,13],[2,3,7,11,12,13],[2,4,8,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5496]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5497: autom. group order 2, simple
B[5497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,9,11,12,13],[1,4,6,7,10,11],[1,4,6,10,12,13],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,7,11,12,13],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,6,7,9,10,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5497]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5498: autom. group order 2, simple
B[5498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,12],[1,3,9,11,12,13],[1,4,6,7,10,12],[1,4,6,10,11,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,7,10,13],[2,3,7,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,6,8,11,12],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5498]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5499: autom. group order 2, simple
B[5499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,9,11,12,13],[1,4,6,7,10,13],[1,4,6,10,11,12],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,7,11,12,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,6,7,9,10,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5499]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5500: autom. group order 2, simple
B[5500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,8,9,13],[1,3,9,11,12,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,7,8,10,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,6,7,10,12],[2,3,7,11,12,13],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5500]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5501: autom. group order 2, simple
B[5501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,9,13],[1,3,8,10,12,13],[1,4,6,8,11,13],[1,4,6,9,10,11],[1,5,7,8,11,12],[1,5,7,10,12,13],[1,6,8,9,10,12],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,6,7,8,9,13],[3,4,5,6,8,12],[3,4,5,9,12,13],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,6,7,9,11,12],[4,5,7,8,9,13],[4,5,8,9,10,11]];
G[5501]:=Group([(1,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5502: autom. group order 2, simple
B[5502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,11,12,13],[1,3,8,10,11,12],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,6,8,10,13],[2,6,8,9,11,12],[3,4,5,6,9,11],[3,4,5,8,10,12],[3,4,7,8,9,13],[3,5,6,7,12,13],[3,6,7,9,10,11],[4,5,7,10,11,13],[4,5,8,9,11,12]];
G[5502]:=Group([(1,7)(2,10)(3,6)(4,9)(5,11)]);
# Design 5503: autom. group order 2, simple
B[5503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,12],[1,3,6,7,11,13],[1,3,8,9,10,11],[1,4,6,8,9,13],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,5,6,8,12],[3,4,5,10,11,13],[3,4,8,10,11,12],[3,5,7,8,9,13],[3,6,7,9,11,12],[4,5,6,7,9,11],[4,5,7,9,10,12]];
G[5503]:=Group([(1,10)(2,11)(5,8)(6,12)(7,13)]);
# Design 5504: autom. group order 2, simple, derived
B[5504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,6,7,10,11],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,7,8,10,12],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,6,9,12],[3,4,5,8,10,13],[3,4,7,9,11,13],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[5504]:=Group([(1,6)(2,11)(3,7)(4,10)(8,9)(12,13)]);
# Design 5505: autom. group order 2, simple
B[5505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,13],[1,3,8,10,12,13],[1,4,6,9,10,11],[1,4,8,9,10,13],[1,5,6,7,12,13],[1,5,7,9,11,12],[1,6,8,10,11,12],[2,3,6,9,11,13],[2,3,8,9,11,12],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,9,10,12,13],[2,6,7,10,11,13],[3,4,5,6,10,12],[3,4,5,11,12,13],[3,4,7,10,11,13],[3,5,7,8,10,11],[3,6,7,8,9,12],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[5505]:=Group([(1,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5506: autom. group order 2, simple
B[5506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,13],[1,3,8,10,12,13],[1,4,6,9,10,11],[1,4,8,9,10,13],[1,5,6,7,12,13],[1,5,7,10,11,12],[1,6,8,9,11,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,9,10,12,13],[2,6,7,9,11,13],[3,4,5,6,9,12],[3,4,5,11,12,13],[3,4,7,10,11,13],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[5506]:=Group([(1,4)(3,7)(5,12)(6,11)(9,10)]);
# Design 5507: autom. group order 2, simple
B[5507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,7,9,11],[1,3,8,9,11,13],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,6,10,11],[3,4,5,8,12,13],[3,4,7,9,10,13],[3,5,8,10,11,12],[3,6,7,11,12,13],[4,5,6,7,9,12],[4,5,7,8,9,11]];
G[5507]:=Group([(1,12)(2,8)(4,10)(6,11)(9,13)]);
# Design 5508: autom. group order 2, simple
B[5508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,9,11],[1,3,8,10,12,13],[1,4,6,10,12,13],[1,4,9,10,11,12],[1,5,6,8,9,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,6,9,10,13],[2,4,8,9,11,13],[2,5,6,7,10,12],[2,5,8,10,11,12],[2,6,7,8,9,10],[3,4,5,6,8,12],[3,4,5,9,10,11],[3,4,7,8,10,13],[3,5,7,10,11,13],[3,6,8,9,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[5508]:=Group([(2,12)(3,10)(5,13)(7,11)(8,9)]);
# Design 5509: autom. group order 2, simple
B[5509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,12,13],[1,3,7,10,11,12],[1,4,6,7,9,13],[1,4,9,10,12,13],[1,5,6,7,8,10],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,6,9,11],[3,4,5,8,12,13],[3,4,7,8,10,13],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,11]];
G[5509]:=Group([(1,13)(2,5)(3,7)(4,12)(8,11)]);
# Design 5510: autom. group order 2, simple
B[5510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,12,13],[1,3,7,8,10,12],[1,4,6,7,9,13],[1,4,9,10,12,13],[1,5,6,7,10,11],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,6,8,10,13],[2,3,9,10,11,12],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,6,9,11],[3,4,5,8,12,13],[3,4,7,10,11,13],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,8,10,12],[4,5,7,8,9,10]];
G[5510]:=Group([(1,13)(2,5)(3,7)(4,12)(8,11)]);
# Design 5511: autom. group order 2, simple
B[5511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,9,11,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,8,9,10,13],[1,5,6,7,8,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,3,8,9,10,11],[2,4,6,7,10,11],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,6,10,12],[3,4,5,7,9,13],[3,4,8,11,12,13],[3,5,7,9,11,12],[3,6,7,8,10,12],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[5511]:=Group([(1,10)(2,6)(3,11)(5,7)(8,13)]);
# Design 5512: autom. group order 2, simple
B[5512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,8,9,11],[1,3,7,10,12,13],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,7,8,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,3,9,10,11,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,6,10,12],[3,4,5,7,9,13],[3,4,8,11,12,13],[3,5,7,9,11,12],[3,6,7,8,10,12],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[5512]:=Group([(1,10)(2,6)(3,11)(5,7)(8,13)]);
# Design 5513: autom. group order 2, simple
B[5513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,12,13],[1,3,8,9,11,12],[1,4,6,7,9,13],[1,4,9,10,11,13],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,6,9,11,13],[2,3,9,10,12,13],[2,4,6,10,11,12],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,10],[2,6,7,8,9,11],[3,4,5,6,10,11],[3,4,5,7,9,12],[3,4,7,8,10,13],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,8,9,13],[4,5,8,9,11,12]];
G[5513]:=Group([(1,12)(3,10)(5,13)(6,8)(7,11)]);
# Design 5514: autom. group order 2, simple
B[5514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,8,11],[1,3,7,9,12,13],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,6,9,12],[3,4,5,7,10,13],[3,4,8,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,10,11],[4,5,7,8,12,13]];
G[5514]:=Group([(2,10)(3,9)(4,8)(6,11)(7,13)]);
# Design 5515: autom. group order 2, simple
B[5515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,8,11],[1,3,6,9,11,12],[1,3,7,9,10,12],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,6,7,10,13],[1,5,7,11,12,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,7,9,11],[2,4,7,9,10,13],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,6,8,12],[3,4,5,9,11,13],[3,4,7,10,11,12],[3,5,7,8,9,13],[3,6,7,8,11,13],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[5515]:=Group([(2,9)(4,12)(5,10)(6,7)(8,11)]);
# Design 5516: autom. group order 2, simple
B[5516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,9,11],[1,3,7,9,12,13],[1,4,6,8,10,12],[1,4,9,10,12,13],[1,5,6,7,10,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,9,11,13],[2,4,7,8,9,10],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,5,6,7,13],[3,4,5,9,10,11],[3,4,7,10,11,12],[3,5,8,10,12,13],[3,6,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,11,13]];
G[5516]:=Group([(1,7)(2,12)(4,9)(5,11)(8,13)]);
# Design 5517: autom. group order 2, simple
B[5517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5517]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5518: autom. group order 2, simple
B[5518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,7,9,10,12],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5518]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5519: autom. group order 2, simple
B[5519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,8,9,11,12],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,10,11,12],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,10,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,5,6,7,8,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5519]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5520: autom. group order 2, simple
B[5520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,7,8,9,13],[1,6,9,10,11,12],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5520]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5521: autom. group order 2, simple
B[5521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,8,9,12],[1,6,9,10,11,12],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5521]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5522: autom. group order 2, simple
B[5522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,9,10,13],[1,4,7,9,12,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,8,10,11,12],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,5,11,12,13],[3,4,6,8,9,13],[3,5,6,7,9,12],[3,7,9,10,11,13],[4,5,6,7,10,11],[4,5,7,8,9,11]];
G[5522]:=Group([(1,10)(2,7)(4,13)(5,11)(6,9)]);
# Design 5523: autom. group order 2, simple, derived
B[5523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,6,9,10,13],[1,4,7,8,9,13],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,8,9,10,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,5,6,7,8,9],[3,7,9,10,11,13],[4,5,6,7,10,11],[4,5,7,9,11,12]];
G[5523]:=Group([(1,10)(2,7)(4,13)(5,11)(6,9)(8,12)]);
# Design 5524: autom. group order 2, simple
B[5524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,8,9,11,12],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5524]:=Group([(1,4)(2,7)(3,8)(5,9)(6,13)]);
# Design 5525: autom. group order 2, simple
B[5525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,8,9,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5525]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5526: autom. group order 2, simple
B[5526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,8,9,11,12],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5526]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5527: autom. group order 2, simple
B[5527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,8,13],[1,3,8,9,11,12],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5527]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5528: autom. group order 2, simple
B[5528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,7,10,11],[1,3,8,9,11,12],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,6,7,11,13],[1,5,10,11,12,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,8,11,12],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,5,6,7,8,12],[3,7,8,9,11,13],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[5528]:=Group([(1,9)(2,5)(3,10)(4,7)(6,11)]);
# Design 5529: autom. group order 2, simple
B[5529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,11,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,8,10],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,6,8,9,10],[2,4,7,9,10,13],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5529]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5530: autom. group order 2, simple
B[5530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,8,10],[1,5,7,8,9,12],[1,6,9,10,11,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,9,10],[2,4,7,9,10,13],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5530]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5531: autom. group order 2, simple
B[5531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,10,11,12],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5531]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5532: autom. group order 2, simple
B[5532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,8,11,13],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,8,10,12,13],[2,5,6,10,11,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5532]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5533: autom. group order 2, simple
B[5533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,10,11,12],[1,4,9,10,11,13],[1,5,6,7,8,10],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,9,10],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5533]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5534: autom. group order 2, simple
B[5534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,10,11,12],[1,4,8,9,11,13],[1,5,6,7,8,10],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,9,10],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5534]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5535: autom. group order 2, simple
B[5535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,7,8,11],[1,5,10,11,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,9,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5535]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5536: autom. group order 2, simple
B[5536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,10,11,12],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,9,12],[2,3,7,8,11,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5536]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5537: autom. group order 2, simple
B[5537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,10,11,12],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,8,9,12],[2,3,7,8,11,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5537]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5538: autom. group order 2, simple
B[5538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,9,10,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,8,9,12],[1,6,7,10,11,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,10,12,13],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5538]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5539: autom. group order 2, simple
B[5539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,9,10,11,12],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5539]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5540: autom. group order 2, simple
B[5540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5540]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5541: autom. group order 2, simple
B[5541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5541]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5542: autom. group order 2, simple
B[5542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,10,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5542]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5543: autom. group order 2, simple
B[5543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5543]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5544: autom. group order 2, simple
B[5544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,6,10,12,13],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5544]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5545: autom. group order 2, simple
B[5545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,10,11,12],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,5,6,7,8,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5545]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5546: autom. group order 2, simple
B[5546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5546]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5547: autom. group order 2, simple
B[5547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,7,8,13],[1,3,9,10,11,13],[1,4,6,9,11,13],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,7,9,12,13],[2,4,6,8,9,10],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,7,8,10,13],[2,6,8,10,11,12],[3,4,5,8,9,12],[3,4,5,10,11,12],[3,4,6,7,10,11],[3,5,6,8,11,13],[3,7,8,9,11,12],[4,5,6,7,12,13],[4,5,7,9,10,13]];
G[5547]:=Group([(1,12)(2,9)(4,8)(5,7)(6,11)(10,13)]);
# Design 5548: autom. group order 2, simple
B[5548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,9,10,11],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,10,12,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5548]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5549: autom. group order 2, simple
B[5549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,9,10,11],[1,4,8,10,11,12],[1,5,6,8,12,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5549]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5550: autom. group order 2, simple
B[5550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,9,10,11],[1,4,10,11,12,13],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,10,12],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5550]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5551: autom. group order 2, simple
B[5551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,9,10,11],[1,4,10,11,12,13],[1,5,6,8,10,12],[1,5,7,8,10,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5551]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5552: autom. group order 2, simple
B[5552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,9,10,11],[1,4,8,11,12,13],[1,5,6,8,10,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,10,11,12,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5552]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5553: autom. group order 2, simple
B[5553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,10,11,12],[1,5,7,8,11,13],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,10,12],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5553]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5554: autom. group order 2, simple
B[5554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,5,9,10,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5554]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5555: autom. group order 2, simple
B[5555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,7,8,9,12],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,7,9,10,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5555]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5556: autom. group order 2, simple
B[5556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,7,8,9,13],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,7,9,10,12],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,5,6,7,8,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5556]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5557: autom. group order 2, simple
B[5557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,7,9,10,12],[1,4,6,7,10,13],[1,4,8,9,11,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,5,6,7,8,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5557]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5558: autom. group order 2, simple
B[5558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,12],[1,3,7,8,9,13],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,7,9,10,12],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5558]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5559: autom. group order 2, simple
B[5559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,7,8,9,12],[1,4,6,7,10,13],[1,4,9,10,11,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,5,6,7,10,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5559]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5560: autom. group order 2, simple
B[5560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,13],[1,3,7,8,9,12],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,7,8,11,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,7,9,10,13],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5560]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5561: autom. group order 2, simple
B[5561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,12],[1,3,7,8,9,13],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,7,9,10,12],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5561]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5562: autom. group order 2, simple
B[5562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,11,13],[1,3,7,8,9,12],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,7,8,13],[1,5,7,10,11,12],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,7,9,10,13],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5562]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5563: autom. group order 2, simple
B[5563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,12],[1,3,7,9,10,13],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,7,8,11,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,7,8,9,12],[2,4,6,8,9,13],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5563]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5564: autom. group order 2, simple
B[5564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,12],[1,3,7,9,10,13],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,7,8,13],[1,5,7,10,11,12],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,7,8,9,12],[2,4,6,9,10,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5564]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5565: autom. group order 2, simple
B[5565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,11,13],[1,3,7,9,10,12],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,5,6,8,9,12],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[5565]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5566: autom. group order 2, simple
B[5566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,9,12,13],[1,3,7,10,11,13],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,7,10,12],[1,5,7,8,9,12],[1,6,8,10,11,12],[2,3,6,11,12,13],[2,3,8,9,10,11],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,7,9,11],[2,5,9,10,12,13],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,5,6,7,8,13],[3,7,8,9,11,12],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[5566]:=Group([(1,4)(3,7)(5,12)(6,11)(9,13)]);
# Design 5567: autom. group order 2, simple
B[5567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,13],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,7,9,11,13],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,5,7,10,13],[3,4,5,9,11,12],[3,4,6,9,10,11],[3,5,6,7,8,13],[3,7,8,10,11,12],[4,5,6,8,12,13],[4,5,7,8,9,11]];
G[5567]:=Group([(1,4)(3,7)(5,12)(6,11)(10,13)]);
# Design 5568: autom. group order 2, simple
B[5568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,10,12,13],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,8,9,11,12],[2,3,6,9,11,13],[2,3,8,9,12,13],[2,4,6,7,8,10],[2,4,8,10,11,12],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,5,6,7,8,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5568]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5569: autom. group order 2, simple
B[5569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,10,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,8,9,10],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,8,9,12,13],[2,4,6,7,8,10],[2,4,8,10,11,13],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5569]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5570: autom. group order 2, simple
B[5570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,7,8,12,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,8,9,10],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,9,10,12,13],[2,4,6,7,8,10],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5570]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5571: autom. group order 2, simple, derived
B[5571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,8,11],[1,3,6,7,9,12],[1,3,7,10,12,13],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,8,9,13],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,5,10,11,13],[3,4,6,7,8,11],[3,5,6,8,12,13],[3,7,8,9,11,13],[4,5,6,7,9,10],[4,5,7,8,10,12]];
G[5571]:=Group([(1,7)(2,8)(5,11)(10,13)]);
# Design 5572: autom. group order 2, simple
B[5572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,11,13],[1,4,9,10,11,13],[1,5,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,6,7,8,10],[2,4,8,10,12,13],[2,5,6,10,11,12],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5572]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5573: autom. group order 2, simple
B[5573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,8,9,11],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5573]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5574: autom. group order 2, simple
B[5574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,8,9,11],[1,5,8,11,12,13],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,10,11,12,13],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5574]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5575: autom. group order 2, simple
B[5575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,12],[1,4,8,9,10,13],[1,5,6,8,9,11],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,7,10,11],[2,4,10,11,12,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5575]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5576: autom. group order 2, simple
B[5576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,7,11,12,13],[1,4,6,8,11,13],[1,4,8,9,10,11],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,9,11,12,13],[2,4,6,7,10,13],[2,4,8,10,12,13],[2,5,6,10,11,12],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5576]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5577: autom. group order 2, simple
B[5577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,7,11,12,13],[1,4,6,10,11,13],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,9,10,13],[2,3,9,11,12,13],[2,4,6,7,10,12],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5577]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5578: autom. group order 2, simple
B[5578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,7,11,12,13],[1,4,6,10,12,13],[1,4,8,9,10,13],[1,5,6,8,9,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,6,9,10,13],[2,3,9,11,12,13],[2,4,6,7,10,11],[2,4,8,10,11,12],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5578]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5579: autom. group order 2, simple
B[5579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,7,11,12,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,9,11,12,13],[2,4,6,10,11,12],[2,4,7,8,10,11],[2,5,6,7,8,12],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5579]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5580: autom. group order 2, simple
B[5580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,12],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,8,9,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,6,10,11,12],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5580]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5581: autom. group order 2, simple
B[5581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,7,10,11,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5581]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5582: autom. group order 2, simple
B[5582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,9,10,12,13],[1,4,6,7,8,10],[1,4,7,9,10,13],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,8,9,10],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5582]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5583: autom. group order 2, simple
B[5583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,7,8,10],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,6,8,12,13],[2,4,8,10,11,13],[2,5,6,8,9,10],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5583]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5584: autom. group order 2, simple
B[5584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,7,8,10],[1,4,7,9,10,12],[1,5,6,10,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,8,12,13],[2,4,8,10,11,13],[2,5,6,8,9,10],[2,5,7,8,9,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,5,6,7,8,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5584]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5585: autom. group order 2, simple
B[5585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,7,10,13],[1,4,8,9,10,11],[1,5,6,8,11,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,10,11,12],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5585]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5586: autom. group order 2, simple
B[5586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,7,10,12],[1,4,8,9,10,11],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5586]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5587: autom. group order 2, simple
B[5587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,9,10,11,13],[1,4,6,7,8,10],[1,4,8,9,11,13],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,8,11,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,10,11,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5587]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5588: autom. group order 2, simple
B[5588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,7,10,11],[1,4,8,9,10,12],[1,5,6,8,10,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5588]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5589: autom. group order 2, simple
B[5589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,6,8,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,10,12],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5589]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5590: autom. group order 2, simple
B[5590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,7,8,10],[1,4,9,10,11,13],[1,5,6,10,11,12],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,11,13],[2,4,8,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5590]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5591: autom. group order 2, simple
B[5591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,9,11,12,13],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,6,8,12,13],[2,4,8,10,11,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5591]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5592: autom. group order 2, simple, derived
B[5592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,8,11],[1,3,6,7,9,12],[1,3,8,9,10,13],[1,4,6,10,11,12],[1,4,7,9,12,13],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,6,8,9,11,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,5,10,11,13],[3,4,6,7,8,11],[3,5,6,8,12,13],[3,7,8,10,11,12],[4,5,6,7,9,10],[4,5,7,8,9,13]];
G[5592]:=Group([(1,7)(2,8)(5,11)(9,12)]);
# Design 5593: autom. group order 2, simple
B[5593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,9,10,12,13],[1,4,6,8,9,10],[1,4,7,8,9,13],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,5,6,8,9,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5593]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5594: autom. group order 2, simple
B[5594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,8,10,11,12],[1,6,7,8,11,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,6,8,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,8,9,12],[2,6,9,10,11,12],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,5,6,8,9,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5594]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5595: autom. group order 2, simple
B[5595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,8,10,11,12],[1,6,7,8,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,8,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,8,9,12],[2,6,9,10,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,5,6,8,9,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5595]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5596: autom. group order 2, simple
B[5596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,7,9,10,13],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,7,10,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,8,11,13],[3,4,5,10,11,12],[3,4,6,7,8,12],[3,5,6,9,10,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5596]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5597: autom. group order 2, simple
B[5597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,6,8,11,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,10,11,12],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5597]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5598: autom. group order 2, simple
B[5598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,9,10,11,13],[1,4,6,8,9,10],[1,4,7,10,11,12],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,8,11,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5598]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5599: autom. group order 2, simple
B[5599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,13],[1,3,9,11,12,13],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5599]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5600: autom. group order 2, simple
B[5600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,6,8,10,12],[1,5,10,11,12,13],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5600]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5601: autom. group order 2, simple
B[5601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,10,11,12,13],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5601]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5602: autom. group order 2, simple, derived
B[5602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,9,10,11,12],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,8,11,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,6,11,12,13],[2,4,7,8,10,11],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,5,10,11,13],[3,4,6,8,10,11],[3,5,6,7,11,12],[3,7,8,9,11,13],[4,5,6,7,9,12],[4,5,8,9,10,12]];
G[5602]:=Group([(1,13)(2,9)(4,7)(5,8)(6,11)(10,12)]);
# Design 5603: autom. group order 2, simple
B[5603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,11],[1,5,8,9,10,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,9,10,11],[2,4,7,8,10,12],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5603]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5604: autom. group order 2, simple
B[5604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,8,11,13],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,5,8,9,10,11],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,11],[2,5,6,10,11,12],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5604]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5605: autom. group order 2, simple
B[5605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,9,10],[2,4,7,10,11,12],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5605]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5606: autom. group order 2, simple
B[5606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,9,11,12,13],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,7,8,9,13],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5606]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5607: autom. group order 2, simple
B[5607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,6,8,9,11],[1,5,7,8,10,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5607]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5608: autom. group order 2, simple
B[5608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,9,10,11,13],[1,4,6,8,10,12],[1,4,10,11,12,13],[1,5,6,8,9,11],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,8,11,12],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,8,10,13],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5608]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5609: autom. group order 2, simple
B[5609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,9,10,11,13],[1,4,6,8,10,13],[1,4,8,11,12,13],[1,5,6,8,9,11],[1,5,7,8,10,12],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,8,11,12],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,10,11,12,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5609]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5610: autom. group order 2, simple
B[5610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,12],[1,3,9,11,12,13],[1,4,6,8,11,13],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,7,11,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,10,11,12],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5610]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5611: autom. group order 2, simple
B[5611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,8,9,10],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,7,8,10],[2,4,8,9,11,13],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,7,8,12],[3,4,5,9,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5611]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5612: autom. group order 2, simple
B[5612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,6,10,11,12],[1,4,8,10,12,13],[1,5,6,8,9,10],[1,5,7,8,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5612]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5613: autom. group order 2, simple
B[5613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,8,12],[1,3,9,11,12,13],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,5,6,10,11,12],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[5613]:=Group([(1,2)(4,5)(7,9)(8,10)(12,13)]);
# Design 5614: autom. group order 2, simple
B[5614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,7,9,13],[1,3,8,9,10,11],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,7,9,11,13],[3,4,5,7,10,13],[3,4,5,9,11,12],[3,4,6,7,11,12],[3,5,6,8,11,13],[3,7,8,10,11,12],[4,5,6,9,10,12],[4,5,7,8,9,13]];
G[5614]:=Group([(1,11)(2,12)(5,7)(8,9)]);
# Design 5615: autom. group order 2, simple
B[5615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,10,11],[1,3,7,8,9,13],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,6,7,8,13],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,6,7,8,10],[2,4,7,9,11,13],[2,5,6,8,9,11],[2,5,7,9,10,12],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,5,6,7,11,13],[3,7,8,9,11,12],[4,5,6,8,9,12],[4,5,7,9,10,13]];
G[5615]:=Group([(1,10)(2,7)(3,6)(5,12)(9,11)]);
# Design 5616: autom. group order 2, simple, derived
B[5616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,10,11],[1,5,6,8,9,12],[1,5,7,9,11,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,7,9,10],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,6,7,8,13],[3,7,9,10,11,12],[4,5,6,10,11,13],[4,5,8,9,12,13]];
G[5616]:=Group([(1,11)(2,12)(5,7)]);
# Design 5617: autom. group order 2, simple, derived
B[5617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,6,8,9,11],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,7,9,10],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,6,7,8,13],[3,7,9,10,11,12],[4,5,6,10,12,13],[4,5,8,9,11,13]];
G[5617]:=Group([(1,12)(2,11)(5,7)]);
# Design 5618: autom. group order 2, simple, derived
B[5618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,10,11],[1,5,6,8,10,12],[1,5,7,9,11,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,8,9,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,7,9,10],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,6,7,8,13],[3,7,9,10,11,12],[4,5,6,10,11,13],[4,5,8,9,12,13]];
G[5618]:=Group([(1,11)(2,12)(5,7)]);
# Design 5619: autom. group order 2, simple, derived
B[5619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,9,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,11],[2,4,7,8,9,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,5,7,9,10],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,6,7,8,13],[3,7,9,10,11,12],[4,5,6,10,12,13],[4,5,8,9,11,13]];
G[5619]:=Group([(1,12)(2,11)(5,7)]);
# Design 5620: autom. group order 2, simple
B[5620]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,7,8,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,7,8,11,13],[2,3,8,9,10,12],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,5,6,11,12],[3,4,5,8,10,13],[3,4,9,11,12,13],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[5620]:=Group([(1,9)(2,5)(3,13)(4,7)(10,11)]);
# Design 5621: autom. group order 2, simple
B[5621]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,5,10,12,13],[1,3,6,10,11,12],[1,3,7,8,12,13],[1,4,6,11,12,13],[1,4,7,9,10,13],[1,5,6,7,8,11],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,6,8,10,11],[2,4,6,9,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,6,8,13],[3,4,5,9,11,12],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,6,7,9,10,11],[4,5,7,8,10,12],[4,5,7,10,11,13]];
G[5621]:=Group([(1,10)(2,5)(3,12)(4,7)(9,13)]);
# Design 5622: autom. group order 2, simple
B[5622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,12,13],[1,3,7,8,10,13],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,6,7,8,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,6,8,11],[3,4,5,10,12,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,6,7,9,11,12],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[5622]:=Group([(1,9)(2,5)(3,13)(4,7)(10,11)]);
# Design 5623: autom. group order 2, simple
B[5623]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,11,12,13],[1,3,7,10,12,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,6,7,10,11],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,6,9,12,13],[2,5,6,8,10,12],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,5,6,8,11],[3,4,5,9,10,12],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,7,8,10,13],[4,5,7,9,11,12]];
G[5623]:=Group([(2,9)(3,13)(4,8)(6,7)(10,11)]);
# Design 5624: autom. group order 2, simple
B[5624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,11,12,13],[1,3,7,10,12,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,6,7,10,11],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,6,9,12,13],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,5,6,8,10],[3,4,5,9,11,12],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,7,8,11,13],[4,5,7,9,10,12]];
G[5624]:=Group([(2,9)(3,13)(4,8)(6,7)(10,11)]);
# Design 5625: autom. group order 2, simple
B[5625]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,6,9,10,13],[1,4,10,11,12,13],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,11,13],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,6,11,13],[3,4,5,8,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,6,7,9,10,11],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[5625]:=Group([(1,7)(2,4)(3,12)(5,9)(8,11)]);
# Design 5626: autom. group order 2, simple
B[5626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,6,9,10,13],[1,4,10,11,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,6,7,9,12],[2,4,6,8,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,12],[3,4,5,6,10,11],[3,4,5,8,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,6,7,9,11,13],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[5626]:=Group([(1,7)(2,4)(3,12)(5,9)(8,11)]);
# Design 5627: autom. group order 2, simple
B[5627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,9,11,12],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,8,10,11,13],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,9,11,12,13],[2,4,6,7,9,11],[2,4,6,8,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,6,12,13],[3,4,5,8,11,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,6,7,8,9,10],[4,5,7,9,10,11],[4,5,7,9,12,13]];
G[5627]:=Group([(1,7)(2,4)(3,11)(5,9)(8,12)]);
# Design 5628: autom. group order 2, simple
B[5628]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,9,11,12],[1,3,7,10,11,13],[1,4,6,9,10,13],[1,4,8,10,11,13],[1,5,6,11,12,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,3,9,11,12,13],[2,4,6,7,9,11],[2,4,6,8,12,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,11],[3,4,5,6,10,12],[3,4,5,8,11,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,6,7,8,9,13],[4,5,7,9,10,11],[4,5,7,9,12,13]];
G[5628]:=Group([(1,7)(2,4)(3,11)(5,9)(8,12)]);
# Design 5629: autom. group order 2, simple
B[5629]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,9,10,12],[1,3,8,11,12,13],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,6,8,12,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,6,8,10,12],[2,4,6,9,12,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,10,11,13],[3,4,5,6,7,11],[3,4,5,8,10,13],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,7,9,10,12],[4,5,8,9,11,12]];
G[5629]:=Group([(1,9)(2,8)(3,6)(4,11)(5,7)]);
# Design 5630: autom. group order 2, simple
B[5630]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,11,12],[1,3,8,9,10,13],[1,4,6,10,11,12],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,6,7,8,13],[2,4,6,9,10,13],[2,5,6,8,9,11],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,5,8,9,12],[3,4,7,9,10,11],[3,5,6,10,11,13],[3,6,7,8,9,11],[4,5,7,8,10,12],[4,5,7,9,11,13]];
G[5630]:=Group([(1,11)(3,8)(4,12)(6,10)(7,13)]);
# Design 5631: autom. group order 2, simple
B[5631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,10,12],[1,3,7,11,12,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,10,13],[2,3,8,10,11,12],[2,4,6,7,9,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,5,6,8,11],[3,4,5,9,12,13],[3,4,8,9,11,13],[3,5,6,7,12,13],[3,6,7,9,10,11],[4,5,7,8,9,10],[4,5,7,10,11,12]];
G[5631]:=Group([(1,12)(3,8)(4,11)(5,6)(7,10)]);
# Design 5632: autom. group order 2, simple
B[5632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,5,7,11,12],[1,3,6,8,11,13],[1,3,8,9,12,13],[1,4,6,7,8,10],[1,4,9,10,11,13],[1,5,6,9,11,12],[1,5,7,8,10,12],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,6,8,9,12],[2,4,6,10,12,13],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,6,10,11],[3,4,5,7,9,13],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,7,8,11,13],[4,5,8,9,10,12]];
G[5632]:=Group([(1,12)(2,7)(4,10)(5,11)(8,13)]);
# Design 5633: autom. group order 2, simple
B[5633]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,6,7,10,13],[2,4,8,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5633]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5634: autom. group order 2, simple
B[5634]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,6,7,10,13],[2,4,8,11,12,13],[2,5,7,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5634]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5635: autom. group order 2, simple
B[5635]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,8,10,12],[2,3,6,11,12,13],[2,4,6,7,10,13],[2,4,8,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5635]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5636: autom. group order 2, simple
B[5636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,10,12],[2,3,6,11,12,13],[2,4,6,7,10,13],[2,4,8,11,12,13],[2,5,7,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5636]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5637: autom. group order 2, simple
B[5637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5637]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5638: autom. group order 2, simple
B[5638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,7,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5638]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5639: autom. group order 2, simple
B[5639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5639]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5640: autom. group order 2, simple
B[5640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,7,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5640]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5641: autom. group order 2, simple
B[5641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,8,12],[1,4,5,10,11,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,8,13],[2,3,6,10,11,12],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,9,10,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5641]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5642: autom. group order 2, simple
B[5642]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,8,12],[1,4,5,10,11,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,7,8,13],[2,3,6,10,11,12],[2,4,6,10,12,13],[2,4,8,11,12,13],[2,5,7,8,10,11],[2,5,7,9,10,13],[2,5,8,9,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5642]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5643: autom. group order 2, simple
B[5643]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,5,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,3,6,10,12,13],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5643]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5644: autom. group order 2, simple
B[5644]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,5,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,7,11,12],[2,3,6,10,12,13],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,7,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5644]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5645: autom. group order 2, simple
B[5645]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,11,12],[1,3,8,10,12,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,7,10,12],[2,3,6,11,12,13],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[2,5,9,10,11,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5645]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5646: autom. group order 2, simple
B[5646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,11,12],[1,3,8,10,12,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,7,10,12],[2,3,6,11,12,13],[2,4,6,8,10,13],[2,4,8,11,12,13],[2,5,7,8,9,12],[2,5,7,8,10,11],[2,5,9,10,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5646]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5647: autom. group order 2, simple, derived
B[5647]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[1,6,8,10,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,7,8,11,13],[2,4,9,11,12,13],[2,5,6,7,8,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5647]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 5648: autom. group order 2, simple, derived
B[5648]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,5,8,10,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,7,8,11,13],[2,4,9,11,12,13],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5648]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 5649: autom. group order 2, simple
B[5649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,7,8,10,13],[2,5,7,9,10,11],[2,5,8,9,12,13],[3,4,7,8,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5649]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5650: autom. group order 2, simple
B[5650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,7,8,12,13],[2,5,7,9,10,13],[2,5,8,9,10,11],[3,4,7,8,10,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5650]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5651: autom. group order 2, simple
B[5651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,7,8,10,13],[2,5,7,9,10,11],[2,5,8,9,12,13],[3,4,7,8,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5651]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5652: autom. group order 2, simple
B[5652]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,7,8,12,13],[2,5,7,9,10,13],[2,5,8,9,10,11],[3,4,7,8,10,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5652]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5653: autom. group order 2, simple
B[5653]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,6,9,12,13],[2,5,7,8,10,12],[2,5,7,9,10,13],[2,5,8,9,11,13],[3,4,7,8,10,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[5653]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5654: autom. group order 2, simple
B[5654]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,7,8,10,11],[2,5,7,9,10,13],[2,5,8,9,12,13],[3,4,7,8,10,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5654]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5655: autom. group order 2, simple
B[5655]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,6,9,12,13],[2,5,7,8,10,13],[2,5,7,9,11,13],[2,5,8,9,10,12],[3,4,7,8,10,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,6,8,10,11],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[5655]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5656: autom. group order 2, simple
B[5656]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,7,8,10,13],[2,5,7,9,12,13],[2,5,8,9,10,11],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5656]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5657: autom. group order 2, simple
B[5657]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,7,8,9,13],[2,5,7,10,12,13],[2,5,8,9,10,11],[3,4,7,8,10,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5657]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5658: autom. group order 2, simple
B[5658]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,7,8,9,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5658]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5659: autom. group order 2, simple
B[5659]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,7,8,10,12],[2,5,7,9,10,13],[2,5,8,9,11,13],[3,4,7,8,9,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5659]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5660: autom. group order 2, simple
B[5660]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,7,8,10,11],[2,5,7,9,10,13],[2,5,8,9,12,13],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5660]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5661: autom. group order 2, simple
B[5661]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,7,8,9,13],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5661]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5662: autom. group order 2, simple
B[5662]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,7,8,9,12],[2,5,7,9,10,13],[2,5,8,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5662]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5663: autom. group order 2, simple
B[5663]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,5,8,9,12,13],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5663]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5664: autom. group order 2, simple
B[5664]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,5,8,9,12,13],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5664]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5665: autom. group order 2, simple
B[5665]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,7,9,12,13],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,5,8,9,10,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[5665]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5666: autom. group order 2, simple
B[5666]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,5,8,9,10,11],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5666]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5667: autom. group order 2, simple
B[5667]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,5,8,9,10,11],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5667]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5668: autom. group order 2, simple
B[5668]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,5,7,9,10,13],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,8,9,10,11],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5668]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5669: autom. group order 2, simple
B[5669]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,5,7,9,10,13],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,5,8,9,10,11],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[5669]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5670: autom. group order 2, simple
B[5670]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,8,9,11,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,5,7,9,10,13],[3,4,6,9,12,13],[3,4,7,8,10,13],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,8,9,10,12],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[5670]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5671: autom. group order 2, simple
B[5671]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,8,9,11,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,5,7,9,10,13],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,7,9,12,13],[3,5,6,8,9,11],[3,5,8,9,10,12],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[5671]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5672: autom. group order 2, simple
B[5672]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,5,7,10,11,13],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5672]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5673: autom. group order 2, simple
B[5673]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,5,7,10,11,13],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5673]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5674: autom. group order 2, simple
B[5674]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,11],[2,4,9,10,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,5,7,8,10,12],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5674]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5675: autom. group order 2, simple
B[5675]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,9,10,11,13],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5675]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5676: autom. group order 2, simple
B[5676]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,5,7,9,10,13],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5676]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5677: autom. group order 2, simple
B[5677]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,5,7,9,10,13],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5677]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5678: autom. group order 2, simple
B[5678]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,5,8,10,11,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5678]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5679: autom. group order 2, simple
B[5679]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,8,9,12],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,5,8,10,12,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5679]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5680: autom. group order 2, simple
B[5680]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,5,8,10,11,13],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5680]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5681: autom. group order 2, simple
B[5681]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,7,8,9,13],[2,5,7,8,10,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5681]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5682: autom. group order 2, simple
B[5682]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,8,9,13],[2,5,7,8,10,11],[3,4,6,7,9,11],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5682]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5683: autom. group order 2, simple
B[5683]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,7,8,9,13],[2,5,7,10,12,13],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5683]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5684: autom. group order 2, simple
B[5684]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,8,9,13],[2,5,7,10,11,13],[3,4,6,7,9,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5684]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5685: autom. group order 2, simple
B[5685]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,5,7,9,10,13],[3,4,6,7,9,12],[3,4,7,8,9,13],[3,4,9,10,11,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5685]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5686: autom. group order 2, simple
B[5686]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,5,7,9,10,13],[3,4,6,7,9,12],[3,4,7,8,9,13],[3,4,9,10,11,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5686]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5687: autom. group order 2, simple
B[5687]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,5,7,9,10,13],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5687]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5688: autom. group order 2, simple
B[5688]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,5,7,9,10,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5688]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5689: autom. group order 2, simple
B[5689]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,12],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,5,7,9,10,11],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,8,11],[3,5,8,10,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5689]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5690: autom. group order 2, simple
B[5690]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,5,8,10,11,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,5,7,9,10,11],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[5690]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5691: autom. group order 2, simple
B[5691]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,10,12,13],[2,4,7,8,10,11],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,5,8,10,11,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5691]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5692: autom. group order 2, simple
B[5692]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,8,9,12],[2,5,7,8,11,13],[2,5,8,9,10,13],[3,4,6,8,9,11],[3,4,7,8,9,13],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,7,9,10,11],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5692]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5693: autom. group order 2, simple
B[5693]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,10,12,13],[2,4,7,8,10,11],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,5,8,9,10,13],[3,4,6,8,9,12],[3,4,7,8,9,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5693]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5694: autom. group order 2, simple
B[5694]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,5,8,9,10,13],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,10,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5694]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5695: autom. group order 2, simple
B[5695]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,5,8,9,10,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5695]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5696: autom. group order 2, simple
B[5696]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,5,8,9,10,11],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[5696]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5697: autom. group order 2, simple
B[5697]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,9,11],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,5,8,9,10,13],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5697]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5698: autom. group order 2, simple
B[5698]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,5,8,9,10,13],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5698]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5699: autom. group order 2, simple
B[5699]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,5,8,9,10,13],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,4,7,10,12,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5699]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5700: autom. group order 2, simple
B[5700]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,5,8,9,10,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[5700]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5701: autom. group order 2, simple
B[5701]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,5,7,8,10,12],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[5701]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5702: autom. group order 2, simple
B[5702]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,5,7,8,10,11],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5702]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5703: autom. group order 2, simple
B[5703]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,6,7,8,9,13],[1,6,7,10,12,13],[1,8,9,10,11,12],[2,3,6,9,12,13],[2,3,7,9,10,12],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,5,7,8,12,13],[3,4,6,7,11,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,6,7,8,9],[4,5,6,9,10,12]];
G[5703]:=Group([(1,9)(4,12)(5,10)(6,7)(8,13)]);
# Design 5704: autom. group order 2, simple
B[5704]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,5,7,10,12,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[5704]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5705: autom. group order 2, simple
B[5705]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,5,7,10,12,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[5705]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5706: autom. group order 2, simple
B[5706]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,10,11],[2,4,7,8,9,12],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,5,8,10,12,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5706]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5707: autom. group order 2, simple
B[5707]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,11],[2,4,7,8,10,12],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,5,7,10,11,13],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5707]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5708: autom. group order 2, simple
B[5708]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,7,9,12],[2,4,7,8,10,11],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,5,7,10,11,13],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5708]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5709: autom. group order 2, simple
B[5709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,7,8,9,13],[2,5,7,8,10,12],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5709]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5710: autom. group order 2, simple
B[5710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,7,8,9,13],[2,5,7,8,10,11],[3,4,6,7,9,11],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5710]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5711: autom. group order 2, simple
B[5711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,6,9,12,13],[2,5,7,8,9,13],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5711]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5712: autom. group order 2, simple
B[5712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,7,8,10,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5712]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5713: autom. group order 2, simple
B[5713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5713]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5714: autom. group order 2, simple
B[5714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5714]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5715: autom. group order 2, simple
B[5715]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,5,7,9,10,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,7,8,10,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5715]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5716: autom. group order 2, simple
B[5716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,5,7,9,10,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5716]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5717: autom. group order 2, simple
B[5717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,6,7,8,9,13],[1,6,7,10,12,13],[1,8,9,10,11,12],[2,3,6,9,12,13],[2,3,7,9,10,12],[2,4,7,8,10,13],[2,4,8,9,11,12],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,5,7,10,11,13],[3,4,6,7,11,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,7,8,11,12],[3,5,7,9,11,13],[4,5,6,7,8,9],[4,5,6,9,10,12]];
G[5717]:=Group([(1,9)(4,12)(5,10)(6,7)(8,13)]);
# Design 5718: autom. group order 2, simple
B[5718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,5,8,10,11,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5718]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5719: autom. group order 2, simple
B[5719]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,5,8,10,11,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5719]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5720: autom. group order 2, simple
B[5720]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,8,11,12],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5720]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5721: autom. group order 2, simple
B[5721]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,12],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,6,8,11,12],[2,5,7,9,10,11],[2,5,8,10,12,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5721]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5722: autom. group order 2, simple
B[5722]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,6,7,10,12,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,9,10,11,13],[2,4,6,8,9,13],[2,4,6,8,10,12],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,5,8,11,12,13],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,9,10,13],[4,5,7,8,9,11]];
G[5722]:=Group([(1,9)(4,13)(5,10)(6,11)(8,12)]);
# Design 5723: autom. group order 2, simple
B[5723]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,8,9,10,12],[2,3,8,9,11,13],[2,4,6,7,12,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,6,9,11,12],[2,5,7,8,11,13],[3,4,6,8,11,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5723]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5724: autom. group order 2, simple
B[5724]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,8,9,10,12],[2,3,8,9,11,13],[2,4,6,7,12,13],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[3,4,6,8,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5724]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5725: autom. group order 2, simple
B[5725]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,6,9,11,12],[2,5,7,8,12,13],[3,4,6,8,11,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,5,7,10,11,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5725]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5726: autom. group order 2, simple
B[5726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,10,12],[1,6,7,9,11,13],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[3,4,6,8,11,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,7,10,11,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5726]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5727: autom. group order 2, simple
B[5727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[1,7,8,9,11,12],[2,3,8,9,10,12],[2,3,8,9,11,13],[2,4,6,9,11,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,6,9,11,12],[2,5,7,8,12,13],[3,4,6,7,12,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5727]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5728: autom. group order 2, simple
B[5728]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,3,8,9,12,13],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[3,4,6,7,10,12],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5728]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5729: autom. group order 2, simple
B[5729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,3,8,9,12,13],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,5,7,9,11,13],[3,4,6,7,11,13],[3,4,6,9,11,12],[3,4,7,8,10,12],[3,5,6,8,10,11],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[5729]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 5730: autom. group order 2, simple
B[5730]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,6,7,8,12],[2,5,6,10,11,12],[2,5,8,10,11,13],[3,4,6,8,11,12],[3,4,6,9,10,11],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5730]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5731: autom. group order 2, simple
B[5731]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,9,12,13],[2,4,7,9,10,11],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,5,8,10,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5731]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5732: autom. group order 2, simple
B[5732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[3,4,6,8,11,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5732]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5733: autom. group order 2, simple
B[5733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[3,4,6,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5733]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5734: autom. group order 2, simple
B[5734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,9,10,12],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,6,8,11,12],[2,5,7,9,10,11],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,8,10,12,13],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5734]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5735: autom. group order 2, simple
B[5735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5735]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5736: autom. group order 2, simple
B[5736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,6,8,11,13],[2,5,8,9,10,12],[3,4,6,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5736]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5737: autom. group order 2, simple
B[5737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[1,8,9,11,12,13],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,10,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[3,4,6,7,11,12],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,10,12,13],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5737]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5738: autom. group order 2, simple
B[5738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,6,10,11,12],[2,5,7,10,11,13],[3,4,6,7,11,12],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5738]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5739: autom. group order 2, simple
B[5739]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,6,10,11,12],[2,5,7,10,12,13],[3,4,6,7,11,12],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5739]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5740: autom. group order 2, simple
B[5740]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,11,12],[2,5,6,8,10,11],[2,5,7,10,12,13],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5740]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5741: autom. group order 2, simple
B[5741]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[1,8,9,11,12,13],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,11,12],[2,5,6,8,10,11],[2,5,7,10,12,13],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[5741]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 5742: autom. group order 2, simple
B[5742]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,6,7,10,12,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,9,10,11,13],[2,4,6,8,9,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,9,10,13],[4,5,7,8,9,11]];
G[5742]:=Group([(1,9)(4,13)(5,10)(6,11)(8,12)]);
# Design 5743: autom. group order 2, simple
B[5743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,5,7,8,9,12],[3,4,6,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,9,11,13],[3,5,8,10,12,13],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5743]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5744: autom. group order 2, simple
B[5744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,8,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,7,11,13],[2,4,8,10,12,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,5,7,8,9,12],[3,4,6,8,9,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,9,12,13],[3,5,8,10,11,13],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[5744]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 5745: autom. group order 2, simple
B[5745]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5745]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5746: autom. group order 2, simple
B[5746]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5746]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5747: autom. group order 2, simple
B[5747]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,5,9,10,12,13],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5747]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5748: autom. group order 2, simple
B[5748]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,9,12],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5748]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5749: autom. group order 2, simple
B[5749]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,9,11],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,5,9,10,11,12],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5749]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5750: autom. group order 2, simple
B[5750]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,8,11],[2,4,6,9,10,12],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,10,11,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5750]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5751: autom. group order 2, simple
B[5751]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,8,11],[2,4,6,9,10,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5751]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5752: autom. group order 2, simple
B[5752]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,8,12],[2,4,6,9,10,11],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,6,9,10,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5752]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5753: autom. group order 2, simple
B[5753]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,8,11,12],[2,5,8,9,12,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5753]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5754: autom. group order 2, simple
B[5754]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5754]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5755: autom. group order 2, simple
B[5755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,5,8,9,11,12],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5755]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5756: autom. group order 2, simple
B[5756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,5,8,9,12,13],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5756]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5757: autom. group order 2, simple
B[5757]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5757]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5758: autom. group order 2, simple
B[5758]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,5,8,9,11,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5758]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5759: autom. group order 2, simple
B[5759]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,5,7,10,12,13],[3,4,6,7,10,12],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5759]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5760: autom. group order 2, simple
B[5760]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,6,8,11,13],[2,5,6,8,9,12],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5760]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5761: autom. group order 2, simple
B[5761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,6,8,9,11],[2,5,7,8,11,12],[2,5,7,10,12,13],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5761]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5762: autom. group order 2, simple
B[5762]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,6,10,11,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5762]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5763: autom. group order 2, simple
B[5763]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,7,8,11],[2,5,6,7,10,12],[2,5,8,9,12,13],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5763]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5764: autom. group order 2, simple
B[5764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,7,10,12],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,8,11,13],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5764]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5765: autom. group order 2, simple
B[5765]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,12,13],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5765]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5766: autom. group order 2, simple
B[5766]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,7,8,11,12],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5766]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5767: autom. group order 2, simple
B[5767]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,8,9,12],[2,5,7,10,11,12],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5767]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5768: autom. group order 2, simple
B[5768]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,8,9,11],[2,5,7,10,11,12],[3,4,6,7,10,11],[3,4,6,9,10,12],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5768]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5769: autom. group order 2, simple
B[5769]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,5,9,10,11,12],[3,4,6,9,10,12],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5769]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5770: autom. group order 2, simple
B[5770]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,8,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5770]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5771: autom. group order 2, simple
B[5771]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,8,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,9,10,12],[3,5,7,8,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5771]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5772: autom. group order 2, simple
B[5772]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,5,7,8,11,12],[3,4,6,7,8,12],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5772]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5773: autom. group order 2, simple
B[5773]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,6,9,10,11],[2,5,7,8,11,12],[3,4,6,7,8,11],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,7,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5773]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5774: autom. group order 2, simple
B[5774]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,7,8,11],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,5,7,10,11,12],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,9,10,11],[3,5,7,8,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5774]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5775: autom. group order 2, simple
B[5775]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,9,10,11],[2,4,7,8,11,12],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,8,9,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,9,10,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5775]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5776: autom. group order 2, simple
B[5776]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,9,10,11],[2,4,7,8,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,9,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5776]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5777: autom. group order 2, simple
B[5777]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,7,8,11,12],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,5,8,9,12,13],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,4,7,10,12,13],[3,5,6,7,8,12],[3,5,9,10,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5777]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5778: autom. group order 2, simple
B[5778]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,7,8,12,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,5,8,9,11,12],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,9,10,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5778]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5779: autom. group order 2, simple
B[5779]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,11],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,5,9,10,12,13],[3,4,6,9,10,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5779]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5780: autom. group order 2, simple
B[5780]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,5,9,10,11,12],[3,4,6,9,10,12],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5780]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5781: autom. group order 2, simple
B[5781]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,9,10,11],[2,4,7,8,11,12],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,9,10,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5781]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5782: autom. group order 2, simple
B[5782]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,11],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,5,7,8,12,13],[3,4,6,7,8,12],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5782]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5783: autom. group order 2, simple
B[5783]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[3,4,6,7,8,11],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5783]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5784: autom. group order 2, simple
B[5784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,6,9,10,11],[2,5,7,8,11,12],[3,4,6,7,8,11],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,8,9,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5784]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5785: autom. group order 2, simple, derived
B[5785]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,12],[1,4,5,6,8,9],[1,4,5,10,12,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,5,7,8,10,12],[3,4,6,7,11,12],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,7,12,13],[3,5,9,10,11,13],[4,5,7,8,10,11],[4,5,8,9,11,12]];
G[5785]:=Group([(1,12)(3,8)(4,13)(7,9)]);
# Design 5786: autom. group order 2, simple, derived
B[5786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,12],[1,4,5,6,8,9],[1,4,5,10,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,5,7,8,10,12],[3,4,6,7,10,12],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,5,6,7,12,13],[3,5,9,10,11,13],[4,5,7,8,10,11],[4,5,8,9,11,12]];
G[5786]:=Group([(1,12)(3,8)(4,13)(7,9)]);
# Design 5787: autom. group order 2, simple
B[5787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,11],[2,5,6,7,10,12],[2,5,8,9,12,13],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5787]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5788: autom. group order 2, simple
B[5788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,7,10,11],[2,5,8,9,12,13],[3,4,6,8,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5788]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5789: autom. group order 2, simple
B[5789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,6,7,10,12],[2,5,8,9,11,12],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5789]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5790: autom. group order 2, simple
B[5790]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,7,10,11],[2,5,8,9,11,12],[3,4,6,8,9,11],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5790]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5791: autom. group order 2, simple
B[5791]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,5,7,8,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5791]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5792: autom. group order 2, simple
B[5792]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,12,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5792]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5793: autom. group order 2, simple
B[5793]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,7,8,11,12],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5793]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5794: autom. group order 2, simple
B[5794]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,11],[2,5,6,8,9,12],[2,5,7,10,12,13],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5794]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5795: autom. group order 2, simple
B[5795]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,6,8,9,11],[2,5,7,10,12,13],[3,4,6,7,10,11],[3,4,6,9,10,12],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5795]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5796: autom. group order 2, simple
B[5796]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,7,8,11,13],[1,4,5,6,12,13],[1,4,5,8,10,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,8,9,11],[2,5,7,10,11,12],[3,4,6,7,10,11],[3,4,6,9,10,12],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,8,9,12,13],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[5796]:=Group([(2,3)(4,5)(7,9)(8,10)]);
# Design 5797: autom. group order 2, simple
B[5797]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,8,12],[1,3,6,10,11,13],[1,4,5,10,12,13],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,8,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5797]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5798: autom. group order 2, simple, derived
B[5798]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,12,13],[1,3,5,7,12,13],[1,3,6,8,10,12],[1,4,5,10,11,12],[1,4,9,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,11],[1,6,7,10,11,13],[2,3,6,10,11,13],[2,3,9,11,12,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,5,7,8,9,10],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[5798]:=Group([(1,2)(3,4)(5,6)(7,8)(10,11)(12,13)]);
# Design 5799: autom. group order 2, simple, derived
B[5799]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,12,13],[1,3,5,7,11,12],[1,3,6,8,10,12],[1,4,5,10,12,13],[1,4,9,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,13],[1,6,7,9,10,11],[2,3,6,11,12,13],[2,3,9,10,12,13],[2,4,5,7,11,13],[2,4,6,8,10,13],[2,5,7,8,9,12],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,6,8,11,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5799]:=Group([(1,2)(3,4)(5,6)(7,8)(10,11)(12,13)]);
# Design 5800: autom. group order 2, simple
B[5800]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,8,12],[1,3,6,10,11,13],[1,4,5,10,12,13],[1,4,8,11,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,8,13],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5800]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5801: autom. group order 2, simple, derived
B[5801]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,12,13],[1,3,5,10,11,12],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,9,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,7,8,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[5801]:=Group([(1,2)(3,4)(5,6)(7,8)(10,11)(12,13)]);
# Design 5802: autom. group order 2, simple
B[5802]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,10,11,12],[1,3,6,7,8,12],[1,4,5,10,12,13],[1,4,8,11,12,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5802]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5803: autom. group order 2, simple
B[5803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,6,7,8,12],[1,4,5,10,11,13],[1,4,8,11,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,10,12,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5803]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5804: autom. group order 2, simple
B[5804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,10,11,12],[1,3,6,7,8,12],[1,4,5,10,12,13],[1,4,8,11,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,10,11,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5804]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5805: autom. group order 2, simple
B[5805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,6,7,8,12],[1,4,5,10,11,13],[1,4,8,11,12,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,6,8,9,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5805]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5806: autom. group order 2, simple
B[5806]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,6,10,11,12],[1,4,5,7,8,12],[1,4,8,11,12,13],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,7,8,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,9,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5806]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5807: autom. group order 2, simple
B[5807]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,10,11,12],[1,3,6,11,12,13],[1,4,5,7,8,13],[1,4,8,11,12,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,8,12],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,7,9,11,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5807]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5808: autom. group order 2, simple
B[5808]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,6,10,11,12],[1,4,5,7,8,12],[1,4,8,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,7,8,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,6,8,9,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5808]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5809: autom. group order 2, simple
B[5809]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,11,12,13],[1,3,6,10,11,12],[1,4,5,7,8,13],[1,4,8,11,12,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,7,8,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,6,8,9,11,13],[3,4,7,9,10,13],[3,4,7,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5809]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 5810: autom. group order 2, simple
B[5810]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,5,7,11,12],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,9,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,5,6,9,11,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,8,11,12,13],[3,5,6,7,8,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5810]:=Group([(1,9)(2,8)(3,12)(4,6)(10,11)]);
# Design 5811: autom. group order 2, simple
B[5811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,10,12],[1,3,5,11,12,13],[1,3,6,7,10,13],[1,4,5,10,12,13],[1,4,7,9,11,12],[1,5,7,8,11,13],[1,6,8,9,10,11],[1,6,8,9,12,13],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,11,13],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,7,10,11,13],[3,4,6,8,11,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,6,7,9,13]];
G[5811]:=Group([(1,9)(2,10)(4,8)(6,11)(7,13)]);
# Design 5812: autom. group order 2, simple
B[5812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,5,8,9,11],[1,4,7,10,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,11,13],[2,4,5,8,10,13],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,8,9,10,12],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[5812]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 5813: autom. group order 2, simple
B[5813]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,5,8,9,11],[1,4,7,10,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,9,10,12],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,7,10,12]];
G[5813]:=Group([(1,6)(2,8)(3,9)(4,10)(5,13)(7,12)]);
# Design 5814: autom. group order 2, simple
B[5814]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,8,11,13],[1,3,6,8,9,12],[1,4,5,7,10,12],[1,4,9,10,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[1,6,8,10,11,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,5,9,11,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,8,9,10,12],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,6,8,12,13]];
G[5814]:=Group([(1,9)(2,11)(3,7)(5,6)(12,13)]);
# Design 5815: autom. group order 2, simple
B[5815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,13],[1,4,5,7,9,13],[1,4,8,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,7,12,13],[2,3,8,9,10,11],[2,4,5,10,11,12],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,9,10,12,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[5815]:=Group([(1,10)(2,11)(3,7)(5,6)(8,13)]);
# Design 5816: autom. group order 2, simple, derived
B[5816]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,5,9,12,13],[1,4,7,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[5816]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5817: autom. group order 2, simple, derived
B[5817]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,9,11,12],[1,5,7,9,10,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[5817]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5818: autom. group order 2, simple
B[5818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,13],[1,3,6,8,9,13],[1,4,5,8,9,12],[1,4,7,10,12,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,10,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,8,10,13],[4,5,6,9,11,13]];
G[5818]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)(8,13)]);
# Design 5819: autom. group order 2, simple, derived
B[5819]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,11,12,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,8,12,13],[1,4,7,9,11,13],[1,5,8,9,10,11],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,6,7,8,10],[3,4,8,9,12,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,10,11,12]];
G[5819]:=Group([(1,6)(2,10)(3,8)(4,7)(5,13)(11,12)]);
# Design 5820: autom. group order 2, simple
B[5820]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,8,10,12,13],[1,5,7,8,9,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,7,11,13],[2,3,8,9,10,12],[2,4,5,7,8,10],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,10,11,12,13],[2,6,8,9,10,11],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[5820]:=Group([(1,11)(2,9)(3,8)(5,6)(7,13)]);
# Design 5821: autom. group order 2, simple
B[5821]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,8,11,12],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,9,11,12,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,5,7,11,13],[2,4,8,9,10,12],[2,5,6,10,11,12],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[5821]:=Group([(1,9)(2,10)(4,7)(6,11)(8,13)]);
# Design 5822: autom. group order 2, simple
B[5822]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,12,13],[1,3,6,8,9,13],[1,4,5,8,9,11],[1,4,10,11,12,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,7,10,12],[2,4,8,9,10,13],[2,5,6,7,11,13],[2,5,8,9,11,12],[2,6,8,9,10,12],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,13]];
G[5822]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 5823: autom. group order 2, simple, derived
B[5823]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,9,10,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[5823]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5824: autom. group order 2, simple, derived
B[5824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,9,10,11,12],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[5824]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5825: autom. group order 2, simple, derived
B[5825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,6,8,12,13],[1,4,5,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,7,8,10],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[5825]:=Group([(1,13)(3,12)(4,10)(6,8)]);
# Design 5826: autom. group order 2, simple
B[5826]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,8,9,11,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,8,9,10,11],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,8,10,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[5826]:=Group([(1,13)(3,8)(4,12)(5,6)(9,11)]);
# Design 5827: autom. group order 2, simple
B[5827]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,9,12,13],[1,3,6,7,11,13],[1,4,5,8,10,12],[1,4,7,9,10,13],[1,5,7,11,12,13],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,8,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,8,9],[4,5,7,9,11,12]];
G[5827]:=Group([(1,12)(3,9)(4,6)(5,13)(8,10)]);
# Design 5828: autom. group order 2, simple
B[5828]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,7,10,11,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,7,9,10],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[5828]:=Group([(1,9)(2,11)(3,5)(4,8)(10,12)]);
# Design 5829: autom. group order 2, simple
B[5829]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[5829]:=Group([(1,9)(2,11)(3,5)(4,8)(10,12)]);
# Design 5830: autom. group order 2, simple
B[5830]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,6,7,9,10],[1,4,5,9,12,13],[1,4,8,9,10,12],[1,5,7,8,10,13],[1,6,7,10,11,12],[1,6,8,9,11,13],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,6,9,10,12,13],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[5830]:=Group([(1,8)(2,11)(3,6)(4,9)(7,13)]);
# Design 5831: autom. group order 2, simple, derived
B[5831]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,10,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,7,8,9],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,6,9,10,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,11,13],[4,5,8,9,11,12]];
G[5831]:=Group([(1,13)(3,12)(4,10)(6,8)]);
# Design 5832: autom. group order 2, simple, derived
B[5832]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,13],[1,3,5,11,12,13],[1,3,6,8,9,11],[1,4,5,8,12,13],[1,4,9,10,11,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,6,8,9,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,10,12],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[5832]:=Group([(1,11)(2,7)(3,9)(4,5)(6,8)(10,12)]);
# Design 5833: autom. group order 2, simple
B[5833]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,7,8,9,12],[1,6,7,10,11,12],[1,6,8,9,11,13],[2,3,8,9,12,13],[2,3,9,10,11,12],[2,4,5,11,12,13],[2,4,7,8,10,11],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,10,13],[3,4,6,7,9,13],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,9,10,11,13]];
G[5833]:=Group([(1,13)(3,8)(4,12)(5,6)(7,9)]);
# Design 5834: autom. group order 2, simple
B[5834]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,11],[1,4,5,9,10,12],[1,4,8,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,8,10,12,13],[2,3,9,11,12,13],[2,4,5,7,10,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,6,8,9,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[5834]:=Group([(1,6)(2,7)(3,9)(4,10)(5,13)(8,11)]);
# Design 5835: autom. group order 2, simple
B[5835]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,11],[1,4,5,9,10,12],[1,4,8,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,8,10,12,13],[2,3,9,10,11,12],[2,4,5,7,10,13],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,6,8,9,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,9,12],[3,5,6,11,12,13],[3,5,7,8,10,11],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[5835]:=Group([(1,6)(2,7)(3,9)(4,10)(5,13)(8,11)]);
# Design 5836: autom. group order 2, simple, derived
B[5836]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,5,9,10,11],[1,4,9,11,12,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,8,9,10,12],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,8,12,13],[4,5,7,8,9,11]];
G[5836]:=Group([(1,6)(2,7)(3,9)(4,10)(5,13)(8,12)]);
# Design 5837: autom. group order 2, simple
B[5837]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,5,9,10,11],[1,4,8,10,12,13],[1,5,9,11,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,8,9,10,11],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[5837]:=Group([(1,6)(2,7)(3,9)(4,10)(5,13)(8,12)]);
# Design 5838: autom. group order 2, simple, derived
B[5838]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,5,7,11,13],[1,4,9,10,11,12],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,7,8,11,12],[2,5,6,7,9,13],[2,5,6,10,11,12],[2,6,7,8,9,10],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,11],[4,5,6,8,10,13],[4,5,7,9,10,12]];
G[5838]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 5839: autom. group order 2, simple, derived
B[5839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,5,7,11,13],[1,4,8,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,3,9,11,12,13],[2,4,5,10,11,12],[2,4,7,8,11,12],[2,5,6,7,9,13],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,11],[4,5,6,8,10,13],[4,5,7,9,10,12]];
G[5839]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 5840: autom. group order 2, simple
B[5840]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,8,11,12],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,7,9,11,13],[1,5,7,9,10,12],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,7,8,10,11],[2,3,9,10,11,13],[2,4,5,9,12,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,10,11,12,13],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,7,8,9,11]];
G[5840]:=Group([(1,10)(2,3)(4,11)(5,9)(6,13)]);
# Design 5841: autom. group order 2, simple
B[5841]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,11],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,7,10,12,13],[1,6,8,9,10,12],[1,6,8,9,11,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,9,11,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,10,12,13],[2,6,7,9,11,12],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[5841]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 5842: autom. group order 2, simple
B[5842]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,11,13],[1,3,5,9,11,12],[1,3,6,7,10,12],[1,4,5,8,11,13],[1,4,7,10,12,13],[1,5,7,9,10,13],[1,6,8,9,10,11],[1,6,8,9,12,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,10,11,13],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[5842]:=Group([(1,12)(2,8)(4,13)(7,10)(9,11)]);
# Design 5843: autom. group order 2, simple
B[5843]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,11,13],[1,3,5,9,11,12],[1,3,6,7,10,12],[1,4,5,8,9,13],[1,4,7,10,12,13],[1,5,7,10,11,13],[1,6,8,9,10,11],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,7,9,13],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[5843]:=Group([(1,12)(2,8)(4,13)(7,10)(9,11)]);
# Design 5844: autom. group order 2, simple
B[5844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,7,10,11],[1,4,5,9,10,12],[1,4,10,11,12,13],[1,5,7,8,12,13],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,5,8,9,13],[2,4,7,8,10,12],[2,5,6,7,10,13],[2,5,6,11,12,13],[2,6,8,9,10,11],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[5844]:=Group([(1,6)(2,8)(3,10)(4,9)(5,13)(7,11)]);
# Design 5845: autom. group order 2, simple
B[5845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,6,10,12,13],[1,4,5,7,8,13],[1,4,8,10,11,12],[1,5,7,10,12,13],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,8,9,10],[2,6,7,10,11,12],[3,4,6,7,9,11],[3,4,6,7,10,13],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,9,12,13],[4,5,7,9,10,11]];
G[5845]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 5846: autom. group order 2, simple
B[5846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,5,7,8,13],[1,4,8,9,10,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,6,8,10,11],[2,6,7,9,10,12],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,10,11,12]];
G[5846]:=Group([(1,12)(2,8)(4,13)(7,10)(9,11)]);
# Design 5847: autom. group order 2, simple
B[5847]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,12],[1,3,6,8,9,12],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,7,8,10,12],[2,5,6,7,8,9],[2,5,6,8,10,13],[2,6,9,10,11,12],[3,4,6,8,11,13],[3,4,6,9,10,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[5847]:=Group([(1,12)(2,7)(4,13)(8,9)(10,11)]);
# Design 5848: autom. group order 2, simple
B[5848]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,12],[1,3,6,8,9,12],[1,4,5,7,11,13],[1,4,8,9,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,5,6,7,8,9],[2,5,6,8,11,13],[2,6,9,10,11,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[5848]:=Group([(1,12)(2,7)(4,13)(8,9)(10,11)]);
# Design 5849: autom. group order 2, simple
B[5849]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,8,11,12],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,7,9,10,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,9,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,10,11,13],[2,6,7,8,9,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,10,11,12,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[5849]:=Group([(1,10)(2,3)(4,12)(5,9)(6,13)]);
# Design 5850: autom. group order 2, simple, derived
B[5850]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,11,12,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,8,12,13],[1,4,9,10,11,13],[1,5,7,8,9,11],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,8,9,10,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,8,9,10,11],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[5850]:=Group([(1,6)(2,10)(3,8)(4,7)(5,13)(11,12)]);
# Design 5851: autom. group order 2, simple
B[5851]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,7,10,11,12],[1,4,5,9,11,13],[1,4,6,9,10,13],[1,5,8,10,11,13],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,7,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[5851]:=Group([(1,11)(2,7)(3,6)(4,10)(8,9)]);
# Design 5852: autom. group order 2, simple
B[5852]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,7,9,11,12],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,9,10,12,13],[2,3,6,8,9,10],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,9,10,12],[2,5,6,8,11,12],[2,5,7,8,10,13],[2,6,7,9,11,13],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,12,13],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[5852]:=Group([(1,11)(2,7)(3,6)(4,9)(8,13)]);
# Design 5853: autom. group order 2, simple, derived
B[5853]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,9,11,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,7,8,9,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[5853]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 5854: autom. group order 2, simple, derived
B[5854]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,8,9,10,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,5,6,7,8,9],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,6,9,10,11],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[5854]:=Group([(1,13)(3,12)(4,10)(6,8)]);
# Design 5855: autom. group order 2, simple
B[5855]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,9,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[5855]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 5856: autom. group order 2, simple, derived
B[5856]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[5856]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 5857: autom. group order 2, simple, derived
B[5857]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,7,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,9,11,13],[4,5,7,8,11,12]];
G[5857]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 5858: autom. group order 2, simple
B[5858]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,6,7,11,13],[4,5,8,9,11,12]];
G[5858]:=Group([(2,13)(3,12)(4,10)(6,8)]);
# Design 5859: autom. group order 2, simple
B[5859]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,11],[1,3,5,9,12,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,7,9,10,13],[2,5,6,7,11,12],[2,5,8,10,11,13],[2,6,8,9,12,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,6,10,11,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[5859]:=Group([(1,7)(2,12)(3,10)(4,5)(9,13)]);
# Design 5860: autom. group order 2, simple
B[5860]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,9,10,12,13],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,13],[4,5,7,10,11,12]];
G[5860]:=Group([(1,7)(2,9)(3,6)(4,12)(8,11)]);
# Design 5861: autom. group order 2, simple
B[5861]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,8,10,11,12],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,12,13],[2,3,7,10,11,12],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,8,9,10],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,6,7,8,11],[4,5,7,10,11,12]];
G[5861]:=Group([(2,7)(3,13)(4,9)(6,12)(8,11)]);
# Design 5862: autom. group order 2, simple
B[5862]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,8,10,11,12],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,12,13],[2,3,7,10,11,12],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,8,9,10,12],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,7,8,9,10],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,6,7,10,11],[4,5,7,8,11,12]];
G[5862]:=Group([(2,7)(3,13)(4,9)(6,12)(8,11)]);
# Design 5863: autom. group order 2, simple
B[5863]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,8,11,12],[1,3,8,9,11,13],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,10,11],[2,5,6,7,8,13],[2,5,9,11,12,13],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[5863]:=Group([(1,7)(2,11)(3,6)(4,10)(12,13)]);
# Design 5864: autom. group order 2, simple
B[5864]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,8,11,13],[1,3,8,9,11,12],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,9,11,12,13],[2,6,7,8,9,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[5864]:=Group([(1,7)(2,11)(3,6)(4,10)(12,13)]);
# Design 5865: autom. group order 2, simple
B[5865]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,8,10,11,12],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,10,11,12],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,7,8,9,11],[2,5,6,8,9,10],[2,5,6,11,12,13],[2,6,7,8,10,13],[3,4,6,7,10,13],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,7,9,11],[4,5,7,10,11,12],[4,5,8,9,10,11]];
G[5865]:=Group([(2,7)(3,13)(4,9)(6,12)(8,11)]);
# Design 5866: autom. group order 2, simple
B[5866]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,7,9,11,13],[1,4,5,8,10,12],[1,4,7,8,10,13],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,6,7,10,13],[2,3,6,8,12,13],[2,4,5,9,12,13],[2,4,10,11,12,13],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,8,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,10,12],[3,5,8,9,10,11],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[5866]:=Group([(1,10)(2,9)(4,8)(6,11)(7,13)]);
# Design 5867: autom. group order 2, simple
B[5867]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,10,11,12,13],[1,3,5,11,12,13],[1,3,7,9,11,12],[1,4,5,8,10,13],[1,4,7,8,10,12],[1,5,6,7,8,11],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,7,10,12],[2,3,6,8,12,13],[2,4,5,9,12,13],[2,4,7,10,11,13],[2,5,7,8,9,13],[2,5,7,8,11,12],[2,6,8,9,10,11],[3,4,6,8,11,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[4,5,6,7,9,12],[4,5,6,10,11,12]];
G[5867]:=Group([(1,10)(2,9)(4,8)(6,11)(7,12)]);
# Design 5868: autom. group order 2, simple
B[5868]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,9,12,13],[1,3,7,10,12,13],[1,4,5,7,8,13],[1,4,8,10,11,13],[1,5,6,8,11,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,13],[2,3,7,8,11,12],[2,4,5,11,12,13],[2,4,6,10,12,13],[2,5,7,9,11,13],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,10,12],[4,5,7,8,9,10]];
G[5868]:=Group([(1,4)(2,8)(3,7)(6,13)(9,10)]);
# Design 5869: autom. group order 2, simple
B[5869]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,10,12,13],[1,3,7,9,12,13],[1,4,5,7,8,13],[1,4,8,10,11,13],[1,5,6,8,11,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,9,13],[2,3,7,8,11,12],[2,4,5,11,12,13],[2,4,6,10,12,13],[2,5,7,9,11,13],[2,5,8,9,10,12],[2,6,7,8,10,13],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[5869]:=Group([(1,4)(2,8)(3,7)(6,13)(9,10)]);
# Design 5870: autom. group order 2, simple
B[5870]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,6,7,8,13],[1,6,7,9,10,12],[1,6,8,11,12,13],[2,3,6,7,8,12],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,6,10,12,13],[4,5,6,7,10,11],[4,5,7,8,9,11]];
G[5870]:=Group([(1,9)(2,11)(3,5)(4,8)(10,12)]);
# Design 5871: autom. group order 2, simple
B[5871]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,10,11,13],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,7,8,9,13],[2,5,7,9,10,12],[2,6,8,10,11,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,6,8,10,11],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[5871]:=Group([(1,10)(2,11)(3,5)(4,8)(9,13)]);
# Design 5872: autom. group order 2, simple
B[5872]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,6,7,8,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,7,9,10],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,6,10,11,13],[4,5,7,8,9,11]];
G[5872]:=Group([(1,9)(2,11)(3,5)(4,8)(10,12)]);
# Design 5873: autom. group order 2, simple
B[5873]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,7,11],[1,2,8,9,11,12],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,9,11,12,13],[1,5,6,8,9,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[5873]:=Group([(1,12)(2,7)(3,9)(4,5)(8,10)(11,13)]);
# Design 5874: autom. group order 2, simple
B[5874]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,10,12],[1,3,7,8,12,13],[1,4,5,8,11,13],[1,4,8,9,10,13],[1,5,6,9,12,13],[1,6,7,9,10,11],[1,6,8,10,11,12],[2,3,6,8,9,13],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,7,9,12,13]];
G[5874]:=Group([(1,3)(2,5)(4,10)(6,9)(8,12)]);
# Design 5875: autom. group order 2, simple, derived
B[5875]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[5875]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 5876: autom. group order 2, simple
B[5876]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[5876]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 5877: autom. group order 2, simple, derived
B[5877]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,5,8,9,12],[1,4,7,9,10,11],[1,5,6,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,9,10,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,8,10,11,12]];
G[5877]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 5878: autom. group order 2, simple
B[5878]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,11,12,13],[1,4,7,9,10,12],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,10,12,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,9,10,11,12],[4,5,6,10,11,13],[4,5,7,8,9,12]];
G[5878]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 5879: autom. group order 2, simple
B[5879]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,10,12],[1,3,8,11,12,13],[1,4,5,8,11,13],[1,4,9,10,12,13],[1,5,6,8,9,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,8,9,10,11],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,6,7,9,11],[3,4,6,8,10,13],[3,4,7,8,9,12],[3,5,6,7,11,13],[3,5,8,9,10,11],[4,5,6,10,11,12],[4,5,7,9,12,13]];
G[5879]:=Group([(1,3)(2,5)(4,10)(6,9)(8,12)]);
# Design 5880: autom. group order 2, simple
B[5880]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,10,11,12],[1,3,7,9,12,13],[1,4,5,7,10,13],[1,4,9,11,12,13],[1,5,6,8,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,7,10,12,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[5880]:=Group([(1,12)(2,7)(3,6)(4,9)(8,10)(11,13)]);
# Design 5881: autom. group order 2, simple
B[5881]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,7,10,12,13],[1,4,5,7,8,13],[1,4,8,10,11,12],[1,5,6,10,12,13],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,7,10,11,12],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[5881]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 5882: autom. group order 2, simple
B[5882]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,7,10,11,13],[1,4,5,9,10,11],[1,4,7,8,10,12],[1,5,6,7,12,13],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,6,7,9,12],[2,3,8,10,11,12],[2,4,5,8,9,13],[2,4,10,11,12,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[5882]:=Group([(1,6)(2,8)(3,10)(4,9)(5,13)]);
# Design 5883: autom. group order 2, simple
B[5883]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,7,11,12,13],[1,4,5,9,10,13],[1,4,7,9,10,12],[1,5,6,8,10,11],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,10,12],[2,3,8,9,10,11],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,9,10,12,13],[3,4,6,8,9,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[5883]:=Group([(1,12)(2,9)(3,8)(6,7)(10,11)]);
# Design 5884: autom. group order 2, simple, derived
B[5884]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,5,9,12,13],[1,4,7,8,12,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,12],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[5884]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5885: autom. group order 2, simple, derived
B[5885]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,9,12,13],[1,3,7,8,12,13],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[5885]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 5886: autom. group order 2, simple
B[5886]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,9,12,13],[1,3,7,8,11,12],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[5886]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 5887: autom. group order 2, simple, derived
B[5887]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,13],[1,3,7,8,12,13],[1,4,5,8,9,12],[1,4,7,9,10,11],[1,5,6,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,8,10,11,12]];
G[5887]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 5888: autom. group order 2, simple
B[5888]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,8,10,11,12],[1,5,6,7,12,13],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,9,10,12,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[5888]:=Group([(1,11)(2,8)(4,13)(7,10)(9,12)]);
# Design 5889: autom. group order 2, simple
B[5889]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,11,12,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,5,6,7,8,10],[2,5,9,10,11,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[5889]:=Group([(1,12)(2,8)(4,13)(7,10)(9,11)]);
# Design 5890: autom. group order 2, simple, derived
B[5890]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[5890]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5891: autom. group order 2, simple, derived
B[5891]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,9,10,11,13],[1,5,6,7,8,10],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,7,8,11,13],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5891]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 5892: autom. group order 2, simple, derived
B[5892]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,7,8,11,13],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5892]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 5893: autom. group order 2, simple
B[5893]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,12],[1,3,8,11,12,13],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,5,8,9,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,10,11,12,13],[2,6,8,9,10,11],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,5,7,9,11,12]];
G[5893]:=Group([(2,7)(3,13)(4,9)(5,10)(8,11)]);
# Design 5894: autom. group order 2, simple, derived
B[5894]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,7,8,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,9,11,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5894]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 5895: autom. group order 2, simple, derived
B[5895]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,11,12],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,7,8,11,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,9,11,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5895]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 5896: autom. group order 2, simple, derived
B[5896]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,12,13],[1,3,8,11,12,13],[1,4,5,8,9,11],[1,4,7,9,10,12],[1,5,6,7,11,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,8,9,10,11],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,9,12,13],[4,5,7,10,11,13]];
G[5896]:=Group([(1,6)(2,8)(3,9)(4,10)(5,13)(7,11)]);
# Design 5897: autom. group order 2, simple, derived
B[5897]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,9,12,13],[1,3,8,11,12,13],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[5897]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 5898: autom. group order 2, simple
B[5898]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,9,12,13],[1,3,8,11,12,13],[1,4,5,8,10,12],[1,4,7,10,11,12],[1,5,6,7,11,13],[1,6,7,8,9,11],[1,6,8,9,10,13],[2,3,6,11,12,13],[2,3,7,8,10,11],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,10,11,12],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,8,9,11,12]];
G[5898]:=Group([(1,10)(2,13)(3,6)(5,8)]);
# Design 5899: autom. group order 2, simple, derived
B[5899]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[5899]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 5900: autom. group order 2, simple
B[5900]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,7,10,11,12],[1,5,6,7,11,13],[1,6,7,8,9,11],[1,6,8,9,10,13],[2,3,6,11,12,13],[2,3,7,8,10,11],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,9,10,11,13],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,8,9,11,12]];
G[5900]:=Group([(1,10)(2,13)(3,6)(5,8)]);
# Design 5901: autom. group order 2, simple, derived
B[5901]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,5,8,9,12],[1,4,7,9,10,11],[1,5,6,7,12,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,9,10,11],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,8,10,11,12]];
G[5901]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 5902: autom. group order 2, simple, derived
B[5902]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,6,7,10,12],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,7,9,11,12],[2,4,5,8,9,10],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,9,11,13],[4,5,7,8,10,11]];
G[5902]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 5903: autom. group order 2, simple, derived
B[5903]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,9,12,13],[1,3,8,10,11,12],[1,4,5,10,11,13],[1,4,7,8,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,8,9,11,12],[2,6,9,10,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5903]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 5904: autom. group order 2, simple, derived
B[5904]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,9,12,13],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,7,8,11,13],[1,5,6,10,11,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,9,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,12],[2,6,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5904]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 5905: autom. group order 2, simple, derived
B[5905]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,5,9,12,13],[1,4,7,8,11,13],[1,5,6,10,11,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,7,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,12],[2,6,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5905]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 5906: autom. group order 2, simple, derived
B[5906]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,10,11,13],[2,3,7,9,11,12],[2,4,5,7,8,10],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,7,11,13],[4,5,8,9,10,11]];
G[5906]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 5907: autom. group order 2, simple
B[5907]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,10,11,13],[1,3,5,7,12,13],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,10,11,12],[1,6,7,8,9,11],[1,6,7,8,10,13],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,10,12,13],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,4,9,10,12,13],[3,5,6,9,11,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[5907]:=Group([(1,11)(2,10)(3,7)(4,5)(6,12)]);
# Design 5908: autom. group order 2, simple
B[5908]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,11,12,13],[1,3,5,10,11,12],[1,3,7,9,11,13],[1,4,5,8,9,13],[1,4,7,8,10,12],[1,5,6,7,10,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,6,7,11,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,9,11,12],[4,5,8,9,10,11]];
G[5908]:=Group([(1,12)(2,8)(4,13)(7,9)(10,11)]);
# Design 5909: autom. group order 2, simple
B[5909]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,8,9,10,11],[1,4,5,10,11,13],[1,4,8,10,11,12],[1,5,6,7,9,12],[1,6,7,8,10,13],[1,6,8,9,12,13],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,11,12,13],[3,5,6,7,8,11],[3,5,6,10,11,13],[4,5,7,8,9,11],[4,5,7,9,10,12]];
G[5909]:=Group([(2,11)(3,10)(5,8)(6,12)(7,13)]);
# Design 5910: autom. group order 2, simple, derived
B[5910]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,11,12,13],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,10,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,7,8,9,11],[4,5,9,10,11,12]];
G[5910]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 5911: autom. group order 2, simple
B[5911]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,6,12,13],[1,3,8,9,10,11],[1,4,5,7,9,13],[1,4,8,10,12,13],[1,5,10,11,12,13],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,5,9,10,11],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,7,8,10,13],[2,6,7,9,10,13],[3,4,6,7,10,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,7,8,9,12],[3,5,7,8,11,13],[4,5,6,8,9,12],[4,5,6,8,10,11]];
G[5911]:=Group([(1,7)(2,6)(3,10)(4,9)(5,13)(8,12)]);
# Design 5912: autom. group order 2, simple
B[5912]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,6,11,13],[1,3,7,8,9,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,8,9,11],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,8,11,12],[3,5,9,11,12,13],[4,5,6,7,9,12],[4,5,6,7,10,13]];
G[5912]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 5913: autom. group order 2, simple
B[5913]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,6,11,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,9],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,13],[4,5,6,9,11,12]];
G[5913]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 5914: autom. group order 2, simple
B[5914]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,5,6,12,13],[1,3,7,10,11,12],[1,4,5,8,11,13],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,6,7,9,11,12],[1,6,8,9,11,13],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,11,12,13],[2,4,6,7,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,6,7,8,10,13],[3,4,6,8,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[5914]:=Group([(1,12)(2,8)(3,9)(4,5)(6,10)]);
# Design 5915: autom. group order 2, simple
B[5915]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,6,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,8,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,8,10,11,12],[3,4,6,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,7,9,11,13]];
G[5915]:=Group([(2,13)(3,10)(4,8)(5,7)(9,11)]);
# Design 5916: autom. group order 2, simple, derived
B[5916]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,6,12,13],[1,3,7,10,11,13],[1,4,5,9,11,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,12,13],[1,6,7,9,10,12],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,7,9,10],[3,4,6,10,11,12],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[5916]:=Group([(1,13)(3,10)(4,6)(5,8)(7,11)(9,12)]);
# Design 5917: autom. group order 2, simple
B[5917]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,6,11,13],[1,3,8,11,12,13],[1,4,5,9,10,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,8,9,10],[1,6,7,10,12,13],[2,3,7,8,9,13],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,8,10,11],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[5917]:=Group([(1,9)(4,13)(5,10)(6,12)(7,8)]);
# Design 5918: autom. group order 2, simple
B[5918]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,6,12,13],[1,3,8,9,10,11],[1,4,5,10,11,12],[1,4,8,10,11,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,8,11,12],[2,6,9,10,11,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,8,11,12,13],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[5918]:=Group([(2,11)(3,10)(5,8)(6,13)(7,12)]);
# Design 5919: autom. group order 2, simple
B[5919]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,6,12,13],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,7,8,9,10]];
G[5919]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 5920: autom. group order 2, simple, derived
B[5920]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,6,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,8,10,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,7,11,12,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[5920]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 5921: autom. group order 2, simple
B[5921]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,6,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,8,10,12,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,8,10,11],[3,5,8,9,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[5921]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 5922: autom. group order 2, simple
B[5922]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,6,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,8,10,12,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[5922]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 5923: autom. group order 2, simple
B[5923]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,6,11,13],[1,3,10,11,12,13],[1,4,5,7,10,12],[1,4,8,9,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,5,6,8,10,11],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,9,12,13],[4,5,7,8,10,11]];
G[5923]:=Group([(1,12)(2,5)(3,13)(6,8)(7,9)(10,11)]);
# Design 5924: autom. group order 2, simple
B[5924]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,6,11,12],[1,3,10,11,12,13],[1,4,5,8,9,13],[1,4,7,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,8,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,9,12,13],[2,5,6,8,10,11],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,12]];
G[5924]:=Group([(1,8)(2,3)(4,7)(5,12)(6,13)]);
# Design 5925: autom. group order 2, simple
B[5925]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,6,11,12],[1,3,10,11,12,13],[1,4,5,8,9,13],[1,4,7,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,7,8,12,13],[2,3,8,9,10,12],[2,4,5,7,10,13],[2,4,6,9,12,13],[2,5,6,8,10,11],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,11,12]];
G[5925]:=Group([(1,8)(2,3)(4,7)(5,12)(6,13)]);
# Design 5926: autom. group order 2, simple
B[5926]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,6,12,13],[1,3,8,9,10,13],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[5926]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 5927: autom. group order 2, simple, derived
B[5927]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,6,12,13],[1,3,8,9,10,12],[1,4,5,10,11,13],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[5927]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 5928: autom. group order 2, simple
B[5928]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,10,11],[1,3,5,6,7,12],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,7,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,5,8,10,13],[2,4,6,7,10,11],[2,5,6,8,9,13],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,6,9,11,13],[3,4,6,10,12,13],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[4,5,6,7,9,12],[4,5,7,9,10,11]];
G[5928]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 5929: autom. group order 2, simple
B[5929]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,6,11,12],[1,3,7,8,11,13],[1,4,5,7,12,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,11,12],[2,3,7,10,11,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,6,7,8,9],[3,4,6,10,12,13],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[5929]:=Group([(1,10)(2,6)(3,11)(5,7)(9,13)]);
# Design 5930: autom. group order 2, simple
B[5930]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,10,11],[1,3,5,6,12,13],[1,3,7,8,9,12],[1,4,5,7,11,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,7,10,12,13],[2,3,8,10,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[5930]:=Group([(1,10)(2,6)(3,12)(5,7)(9,11)]);
# Design 5931: autom. group order 2, simple
B[5931]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,7,10,12],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,8,9,10,11,12],[2,3,6,8,9,11],[2,3,8,11,12,13],[2,4,5,9,10,12],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[4,5,6,7,8,11],[4,5,6,9,11,12]];
G[5931]:=Group([(1,6)(3,9)(4,13)(5,11)(8,10)]);
# Design 5932: autom. group order 2, simple
B[5932]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,9,12,13],[1,3,5,8,12,13],[1,3,6,7,10,12],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,8,9,10,11],[1,6,7,8,11,12],[1,7,9,10,11,13],[2,3,6,10,11,13],[2,3,7,8,11,13],[2,4,5,10,11,12],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,7,8,10,13],[2,6,8,9,10,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[5932]:=Group([(2,9)(3,11)(4,10)(5,7)(6,13)]);
# Design 5933: autom. group order 2, simple
B[5933]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,9,12,13],[1,3,6,8,11,12],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,11,12,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,10,11],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5933]:=Group([(1,10)(2,12)(3,7)(8,9)]);
# Design 5934: autom. group order 2, simple
B[5934]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,9,12,13],[1,3,6,8,12,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[1,8,9,10,11,13],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,5,11,12,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,9,10,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5934]:=Group([(1,10)(2,12)(3,7)(8,9)]);
# Design 5935: autom. group order 2, simple
B[5935]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,11,12,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5935]:=Group([(1,10)(2,12)(3,7)(8,9)]);
# Design 5936: autom. group order 2, simple
B[5936]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[1,8,9,10,11,13],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,5,11,12,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,10,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5936]:=Group([(1,10)(2,12)(3,7)(8,9)]);
# Design 5937: autom. group order 2, simple, derived
B[5937]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,8,9,10,13],[1,7,9,11,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5937]:=Group([(1,10)(2,12)(3,7)(8,9)]);
# Design 5938: autom. group order 2, simple, derived
B[5938]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,8,12,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,9,11,12],[3,5,7,8,10,13],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[5938]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5939: autom. group order 2, simple, derived
B[5939]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,7,9,11,12],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[5939]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 5940: autom. group order 2, simple
B[5940]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,7,9,11,12],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[5940]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 5941: autom. group order 2, simple
B[5941]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,8,10,11],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,5,9,10,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,7,9,10,11],[2,5,6,7,10,12],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[5941]:=Group([(2,10)(3,9)(4,13)(6,11)(7,8)]);
# Design 5942: autom. group order 2, simple
B[5942]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[5942]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 5943: autom. group order 2, simple, derived
B[5943]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,11],[2,4,7,11,12,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[5943]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5944: autom. group order 2, simple
B[5944]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,6,8,9,12],[1,4,5,7,8,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,8,9,10,11],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,6,7,10,11],[3,4,8,11,12,13],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,9,12]];
G[5944]:=Group([(1,6)(3,11)(4,13)(5,7)(8,9)(10,12)]);
# Design 5945: autom. group order 2, simple
B[5945]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,9,12],[1,4,6,10,12,13],[1,5,9,10,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,7,10,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,8,9,10,11],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,7,8,9],[4,5,6,7,10,13]];
G[5945]:=Group([(2,10)(3,9)(4,13)(6,11)(7,8)]);
# Design 5946: autom. group order 2, simple
B[5946]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,6,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[5946]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5947: autom. group order 2, simple, derived
B[5947]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,6,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[5947]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 5948: autom. group order 2, simple
B[5948]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,5,7,11,12],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[1,7,8,9,11,13],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,5,8,9,13],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,7,8,10],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,6,7,11,13],[4,5,6,9,10,13]];
G[5948]:=Group([(1,6)(2,10)(3,8)(5,11)(12,13)]);
# Design 5949: autom. group order 2, simple
B[5949]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,11,12],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,6,7,8,10],[1,5,7,10,12,13],[1,6,8,9,10,13],[1,7,8,9,11,12],[2,3,6,8,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,10,11,12,13],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,8,11,13],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5949]:=Group([(1,8)(2,3)(4,7)(5,12)(6,10)(9,13)]);
# Design 5950: autom. group order 2, simple
B[5950]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,10,11,12],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,6,7,8,10],[1,5,7,10,12,13],[1,6,8,9,10,13],[1,7,8,9,11,12],[2,3,6,8,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,9,10,11,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,10,11,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,12]];
G[5950]:=Group([(1,8)(2,3)(4,7)(5,12)(6,10)(9,13)]);
# Design 5951: autom. group order 2, simple, derived
B[5951]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[5951]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 5952: autom. group order 2, simple
B[5952]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,11,13],[4,5,6,8,9,11]];
G[5952]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 5953: autom. group order 2, simple
B[5953]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,6,7,11,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,8,9,11,13],[1,6,7,10,12,13],[1,7,8,9,10,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,11,12],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,4,10,11,12,13],[3,5,6,9,10,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[5953]:=Group([(1,11)(2,10)(5,13)(6,12)(8,9)]);
# Design 5954: autom. group order 2, simple
B[5954]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,8,12],[1,4,5,7,9,13],[1,4,6,8,11,13],[1,5,7,8,10,13],[1,6,8,9,10,12],[1,7,9,10,11,12],[2,3,6,9,10,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,5,6,10,12,13]];
G[5954]:=Group([(2,9)(3,12)(4,10)(5,11)(6,7)]);
# Design 5955: autom. group order 2, simple, derived
B[5955]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,7,10,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,3,7,8,11,12],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,11,13],[4,5,6,8,9,11]];
G[5955]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 5956: autom. group order 2, simple
B[5956]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,7,9,11],[3,4,8,10,12,13],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,6,8,11,12],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[5956]:=Group([(1,11)(3,10)(4,6)(5,8)(7,13)]);
# Design 5957: autom. group order 2, simple
B[5957]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,5,8,10,12],[1,4,6,7,9,10],[1,5,8,9,11,12],[1,6,9,10,12,13],[1,7,8,10,11,13],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,7,10,12],[3,5,6,8,11,12],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[5957]:=Group([(1,11)(3,10)(4,6)(5,8)(7,13)]);
# Design 5958: autom. group order 2, simple, derived
B[5958]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,5,7,10,11,12],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,7,8,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,8,11,13],[3,5,6,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[5958]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 5959: autom. group order 2, simple
B[5959]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,8,10,11],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,5,9,10,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,11,13],[2,4,6,7,9,10],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[5959]:=Group([(2,10)(3,9)(4,13)(6,11)(7,8)]);
# Design 5960: autom. group order 2, simple, derived
B[5960]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[5960]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 5961: autom. group order 2, simple, derived
B[5961]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,11],[2,4,6,11,12,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,6,9,10,13],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[5961]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5962: autom. group order 2, simple
B[5962]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,11],[2,4,6,8,11,12],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,8,10,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[5962]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5963: autom. group order 2, simple
B[5963]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,7,8,10],[1,4,6,8,9,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,7,8,9,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,9,10,11],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[5963]:=Group([(1,12)(2,7)(3,9)(4,5)(8,13)]);
# Design 5964: autom. group order 2, simple
B[5964]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,9,11,13],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,6,8,9,13],[1,5,7,8,11,12],[1,6,9,10,12,13],[1,7,8,9,10,11],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[5964]:=Group([(1,12)(2,7)(3,9)(4,5)(8,13)]);
# Design 5965: autom. group order 2, simple
B[5965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,9,12],[1,4,6,10,12,13],[1,5,7,10,11,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,9,10,11,13],[2,4,5,8,10,11],[2,4,6,8,9,13],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[5965]:=Group([(1,9)(4,13)(5,10)(6,11)(8,12)]);
# Design 5966: autom. group order 2, simple
B[5966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,9,12],[1,4,6,10,12,13],[1,5,9,10,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,7,10,11,12],[2,4,5,8,10,11],[2,4,6,8,9,13],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,6,9,11,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[5966]:=Group([(2,10)(3,9)(4,13)(6,11)(7,8)]);
# Design 5967: autom. group order 2, simple
B[5967]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,8,10,11],[1,4,5,7,9,12],[1,4,6,10,12,13],[1,5,9,10,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,5,8,11,13],[2,4,6,8,9,10],[2,5,6,7,10,12],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[5967]:=Group([(2,10)(3,9)(4,13)(6,11)(7,8)]);
# Design 5968: autom. group order 2, simple
B[5968]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,8,9,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,7,8,10,12],[1,7,9,10,11,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,6,8,9,10,12],[3,4,6,8,11,12],[3,4,7,8,9,10],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,9,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[5968]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 5969: autom. group order 2, simple
B[5969]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,9,10,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,6,8,9,11],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[5969]:=Group([(1,10)(3,9)(4,13)(6,8)(7,12)]);
# Design 5970: autom. group order 2, simple, derived
B[5970]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,10,11],[1,3,6,8,11,13],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,5,7,9,12,13],[1,6,7,8,10,12],[1,8,9,10,11,12],[2,3,7,10,12,13],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,6,7,11,12],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[4,5,6,9,10,11],[4,5,7,10,11,13]];
G[5970]:=Group([(1,13)(2,10)(5,12)(7,9)]);
# Design 5971: autom. group order 2, simple
B[5971]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,5,10,12,13],[1,4,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,7,8,9,11,13],[2,3,7,10,11,12],[2,3,8,9,11,12],[2,4,5,8,9,13],[2,4,6,7,11,13],[2,5,6,7,8,10],[2,5,7,8,12,13],[2,6,9,10,12,13],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,9,11,13],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[5971]:=Group([(1,6)(3,13)(4,10)(5,11)(7,9)(8,12)]);
# Design 5972: autom. group order 2, simple
B[5972]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,10,11],[1,3,6,8,12,13],[1,4,5,8,10,13],[1,4,6,8,9,11],[1,5,7,9,12,13],[1,6,7,9,10,13],[1,7,8,10,11,12],[2,3,7,8,9,12],[2,3,9,10,11,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,5,6,8,11,13],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[5972]:=Group([(1,8)(2,9)(3,11)(6,7)(10,13)]);
# Design 5973: autom. group order 2, simple
B[5973]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,11,12,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,9,10,13],[1,4,6,10,12,13],[1,5,7,8,10,12],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,8,10,11,13],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,6,9,11,12],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[5973]:=Group([(1,10)(2,3)(4,13)(5,9)(6,12)(7,11)]);
# Design 5974: autom. group order 2, simple
B[5974]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,9,12,13],[1,3,5,8,12,13],[1,3,6,7,10,12],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,8,9,10,11],[1,6,7,8,11,12],[1,7,9,10,11,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,10,11,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,7,10,13],[2,6,8,9,10,12],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[5974]:=Group([(2,9)(3,11)(4,10)(5,7)(6,13)]);
# Design 5975: autom. group order 2, simple
B[5975]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,10,11,12],[1,3,6,8,12,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,8,9,10,13],[1,7,8,9,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,10,11,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,7,9,10,12],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[5975]:=Group([(2,8)(3,6)(4,12)(5,13)(7,11)]);
# Design 5976: autom. group order 2, simple, derived
B[5976]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,11],[2,4,8,11,12,13],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,8,9,10,13],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[5976]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5977: autom. group order 2, simple
B[5977]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,11],[2,4,8,11,12,13],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,8,9,10,13],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[5977]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5978: autom. group order 2, simple, derived
B[5978]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,7,11,12,13],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5978]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5979: autom. group order 2, simple
B[5979]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,7,11,12,13],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,7,8,9],[4,5,8,9,11,13]];
G[5979]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5980: autom. group order 2, simple
B[5980]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,10,13],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,7,8,11,12],[1,6,9,10,12,13],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,8,12,13],[3,4,7,9,10,11],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,8,9,11,13]];
G[5980]:=Group([(1,3)(2,5)(4,10)(6,9)(7,13)]);
# Design 5981: autom. group order 2, simple
B[5981]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,10,13],[1,3,6,8,9,12],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,7,8,11,12],[1,6,9,10,12,13],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,6,7,8,10,12],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[5981]:=Group([(1,3)(2,5)(4,10)(6,9)(7,13)]);
# Design 5982: autom. group order 2, simple, derived
B[5982]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,6,9,10,11],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,8,9,10,11,13],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,8,9,10],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,8,10,11,12],[3,4,6,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[5982]:=Group([(2,7)(3,13)(4,6)(5,10)(8,11)(9,12)]);
# Design 5983: autom. group order 2, simple
B[5983]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,10,11,13],[1,3,6,8,11,13],[1,4,5,11,12,13],[1,4,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,12],[1,7,9,10,11,12],[2,3,7,10,12,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,6,8,11,12],[2,6,8,10,11,13],[3,4,6,7,11,12],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,9,10,13],[4,5,7,8,9,13]];
G[5983]:=Group([(2,9)(3,12)(4,10)(5,11)(6,7)]);
# Design 5984: autom. group order 2, simple, derived
B[5984]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,6,8,11,13],[1,4,5,8,10,12],[1,4,6,7,10,13],[1,5,7,8,12,13],[1,6,9,10,11,12],[1,7,8,9,10,11],[2,3,7,8,10,12],[2,3,8,9,11,13],[2,4,5,10,11,13],[2,4,7,11,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,8,10,12,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,8,9,13],[4,5,7,8,9,11]];
G[5984]:=Group([(2,9)(3,11)(4,10)(5,12)]);
# Design 5985: autom. group order 2, simple
B[5985]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,7,8,9],[1,5,8,9,11,12],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,10,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,8,9,12,13],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[5985]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 5986: autom. group order 2, simple, derived
B[5986]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,7,8,9],[1,5,8,9,11,12],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,7,10,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,8,9,12,13],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[5986]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 5987: autom. group order 2, simple
B[5987]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,5,8,10,13],[1,4,6,7,8,11],[1,5,7,10,11,12],[1,6,7,9,12,13],[1,8,9,10,11,13],[2,3,7,8,11,13],[2,3,7,9,10,13],[2,4,5,11,12,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,6,7,8,10,12],[3,4,6,9,11,13],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,8,10,11],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,13]];
G[5987]:=Group([(1,7)(4,8)(5,13)(6,11)(9,10)]);
# Design 5988: autom. group order 2, simple
B[5988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,8,12],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,7,9,11,13],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,6,7,9,12],[2,6,8,11,12,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,9,10,11],[4,5,7,8,9,13]];
G[5988]:=Group([(1,12)(2,4)(3,10)(5,7)(6,13)(9,11)]);
# Design 5989: autom. group order 2, simple
B[5989]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,7,12,13],[1,3,6,10,11,12],[1,4,5,8,11,13],[1,4,8,9,10,12],[1,5,6,9,10,11],[1,6,7,9,12,13],[1,7,8,10,11,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,11,12,13],[2,4,6,7,10,12],[2,5,7,10,11,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5989]:=Group([(1,8)(2,12)(3,9)(7,10)]);
# Design 5990: autom. group order 2, simple
B[5990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,8,9,10,13],[1,5,6,9,10,11],[1,6,7,9,11,13],[1,7,8,10,11,12],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,7,10,11,13],[2,5,8,9,10,12],[2,6,7,8,9,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5990]:=Group([(1,8)(2,13)(3,9)(7,10)]);
# Design 5991: autom. group order 2, simple, derived
B[5991]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,6,7,12,13],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,6,7,9,10,11],[1,7,8,10,11,13],[2,3,6,8,11,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5991]:=Group([(1,12)(2,10)(3,7)(8,9)]);
# Design 5992: autom. group order 2, simple, derived
B[5992]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,6,7,12,13],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,7,9,10,11,13],[2,3,6,9,11,12],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[5992]:=Group([(1,12)(2,10)(3,7)(8,9)]);
# Design 5993: autom. group order 2, simple
B[5993]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,7,11,12],[1,4,5,8,11,13],[1,4,8,9,10,12],[1,5,6,9,10,11],[1,6,7,9,12,13],[1,7,8,10,11,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,11,12,13],[2,4,6,7,10,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[5993]:=Group([(1,8)(2,12)(3,9)(7,10)]);
# Design 5994: autom. group order 2, simple
B[5994]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,10,12,13],[1,3,6,7,12,13],[1,4,5,8,11,12],[1,4,8,9,10,13],[1,5,6,9,10,11],[1,6,7,9,11,13],[1,7,8,10,11,12],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[5994]:=Group([(1,8)(2,13)(3,9)(7,10)]);
# Design 5995: autom. group order 2, simple
B[5995]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,6,7,8,13],[1,6,7,8,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,10,11,12]];
G[5995]:=Group([(1,9)(2,12)(4,8)(6,7)(10,11)]);
# Design 5996: autom. group order 2, simple
B[5996]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,6,7,8,13],[1,6,7,8,11,12],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,6,10,11,12]];
G[5996]:=Group([(1,9)(2,12)(4,8)(6,7)(10,11)]);
# Design 5997: autom. group order 2, simple, derived
B[5997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,11,12,13],[1,3,6,7,11,12],[1,4,5,8,9,13],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,6,9,10,12,13],[1,7,8,9,10,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,5,7,8,11,12],[2,5,7,9,10,11],[2,6,8,9,11,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,6,7,9,11],[4,5,6,7,12,13]];
G[5997]:=Group([(1,12)(2,4)(3,10)(5,8)(7,13)(9,11)]);
# Design 5998: autom. group order 2, simple
B[5998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,7,8,12,13],[1,5,6,8,11,13],[1,6,7,9,10,12],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,5,7,8,9,10],[2,5,7,11,12,13],[2,6,7,8,9,13],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,8,10,11]];
G[5998]:=Group([(2,9)(3,12)(4,10)(5,11)(6,8)]);
# Design 5999: autom. group order 2, simple
B[5999]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,5,7,9,11,13],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[5999]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6000: autom. group order 2, simple
B[6000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,6,8,9,12],[1,4,5,7,8,13],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,6,8,9,10,11],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,9,11,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,6,7,10,11],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,7,8,11,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,6,8,9,12]];
G[6000]:=Group([(1,6)(3,11)(4,13)(5,7)(8,9)(10,12)]);
# Design 6001: autom. group order 2, simple
B[6001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,6,8,9,12],[1,4,5,7,8,13],[1,4,10,11,12,13],[1,5,6,8,10,11],[1,6,7,9,10,12],[1,7,8,9,10,13],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,5,7,10,12],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,8,10,12,13],[2,6,7,8,11,12],[3,4,6,8,10,12],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,7,8,11,12],[3,5,7,9,10,11],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[6001]:=Group([(1,6)(3,7)(4,13)(5,11)(8,10)(9,12)]);
# Design 6002: autom. group order 2, simple
B[6002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,5,7,9,11,12],[3,5,7,10,11,13],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[6002]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6003: autom. group order 2, simple
B[6003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,7,10,12],[1,4,5,8,9,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,9,10,13],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,8,9,11,12],[3,5,7,8,9,12],[3,5,10,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[6003]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6004: autom. group order 2, simple, derived
B[6004]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,7,10,12],[1,4,5,8,9,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,7,8,10,12],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,9,10,13],[3,4,6,7,9,13],[3,4,6,9,10,11],[3,4,8,9,11,12],[3,5,7,8,9,12],[3,5,10,11,12,13],[4,5,6,7,11,12],[4,5,6,8,10,13]];
G[6004]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6005: autom. group order 2, simple
B[6005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,11],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,9,10,11,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,7,9,12,13],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[6005]:=Group([(1,9)(3,10)(4,11)(6,7)(8,13)]);
# Design 6006: autom. group order 2, simple, derived
B[6006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,5,8,11,12],[1,4,9,10,11,13],[1,5,6,7,8,13],[1,6,8,10,12,13],[1,7,8,9,10,11],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,6,8,10,11],[3,4,6,11,12,13],[3,4,7,8,9,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,9,10],[4,5,7,9,12,13]];
G[6006]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 6007: autom. group order 2, simple
B[6007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,11,12,13],[1,3,6,7,11,13],[1,4,5,8,10,13],[1,4,8,9,11,12],[1,5,6,7,10,12],[1,6,9,10,12,13],[1,7,8,9,10,11],[2,3,8,10,11,13],[2,3,9,10,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[6007]:=Group([(1,10)(4,11)(5,9)(6,12)(7,13)]);
# Design 6008: autom. group order 2, simple, derived
B[6008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,6,7,11,12],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,6,7,9,10,13],[1,7,8,10,11,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,5,7,8,9,11],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[6008]:=Group([(1,12)(3,7)(4,13)(8,9)]);
# Design 6009: autom. group order 2, simple, derived
B[6009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,6,7,11,12],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,6,7,8,10,13],[1,7,9,10,11,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,6,9,10,12],[3,4,8,10,11,12],[3,5,6,9,11,13],[3,5,7,8,9,11],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[6009]:=Group([(1,12)(3,7)(4,13)(8,9)]);
# Design 6010: autom. group order 2, simple
B[6010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,8,10,13],[1,3,6,7,12,13],[1,4,5,11,12,13],[1,4,9,10,11,13],[1,5,6,9,10,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,8,10,11,12],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,7,9,12],[2,5,7,10,11,13],[2,6,8,9,10,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6010]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 6011: autom. group order 2, simple
B[6011]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,8,10,13],[1,3,6,7,12,13],[1,4,5,11,12,13],[1,4,8,10,11,13],[1,5,6,9,10,12],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,8,10,11,12],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,5,6,7,8,12],[2,5,7,10,11,13],[2,6,8,9,10,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6011]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 6012: autom. group order 2, simple
B[6012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,7,9,10,11,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,9,10,12],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,6,7,9,11],[3,4,6,11,12,13],[3,4,8,9,10,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[6012]:=Group([(1,8)(2,10)(3,11)(7,13)(9,12)]);
# Design 6013: autom. group order 2, simple
B[6013]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,11,12,13],[1,3,6,8,11,13],[1,4,5,9,10,13],[1,4,8,10,11,13],[1,5,6,7,8,9],[1,6,7,10,12,13],[1,7,8,9,10,12],[2,3,7,8,9,13],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,7,10,11],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,6,8,10,12],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[6013]:=Group([(1,9)(4,13)(5,10)(6,12)(7,8)]);
# Design 6014: autom. group order 2, simple
B[6014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,9,11,12],[2,5,7,8,11,13],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,7,8,9,10],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[6014]:=Group([(1,10)(2,9)(3,5)(4,8)(6,7)(11,13)]);
# Design 6015: autom. group order 2, simple, derived
B[6015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,11,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,6,7,12,13],[1,6,7,8,9,12],[1,7,8,9,10,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,8,9,12],[2,4,6,7,10,13],[2,5,6,8,10,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,5,9,11,12,13]];
G[6015]:=Group([(1,5)(2,12)(3,13)(6,10)(7,9)(8,11)]);
# Design 6016: autom. group order 2, simple, derived
B[6016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,11,13],[1,3,6,10,11,12],[1,4,5,9,12,13],[1,4,8,9,10,11],[1,5,6,7,12,13],[1,6,7,8,10,13],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,9,10,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,11,12],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,8,11],[4,5,10,11,12,13]];
G[6016]:=Group([(1,5)(2,12)(3,13)(6,9)(7,10)(8,11)]);
# Design 6017: autom. group order 2, simple, derived
B[6017]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,12],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,7,8,9,13],[1,5,6,9,10,13],[1,6,7,8,10,11],[1,8,9,10,11,12],[2,3,7,10,11,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,6,8,10,12],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6017]:=Group([(1,13)(2,10)(5,11)(7,9)]);
# Design 6018: autom. group order 2, simple, derived
B[6018]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,10,11],[1,4,5,8,9,13],[1,4,7,10,11,13],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,8,9,10,12,13],[2,3,7,9,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,10,11],[3,4,6,7,12,13],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,12],[3,5,7,8,10,13],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6018]:=Group([(1,12)(2,4)(3,10)(5,8)(7,13)(9,11)]);
# Design 6019: autom. group order 2, simple
B[6019]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,12],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,7,8,10,11],[1,5,6,9,10,13],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,7,10,11,13],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6019]:=Group([(1,13)(2,10)(5,11)(7,9)]);
# Design 6020: autom. group order 2, simple
B[6020]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,11,12],[1,3,6,8,11,13],[1,4,5,9,10,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,3,9,10,11,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,9,11,13],[4,5,7,8,10,11]];
G[6020]:=Group([(1,10)(2,3)(4,13)(5,9)(6,11)(7,12)]);
# Design 6021: autom. group order 2, simple
B[6021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,12],[1,3,6,8,12,13],[1,4,5,11,12,13],[1,4,8,9,10,11],[1,5,6,9,10,13],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,7,10,11,13],[2,3,9,11,12,13],[2,4,5,7,8,13],[2,4,6,8,10,12],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6021]:=Group([(1,13)(2,10)(5,11)(7,9)]);
# Design 6022: autom. group order 2, simple
B[6022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,6,7,10,12],[1,4,5,9,12,13],[1,4,7,10,11,13],[1,5,6,7,8,13],[1,6,8,9,10,13],[1,8,9,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,5,6,8,9,11],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,6,8,11,12],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,5,6,10,12,13],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6022]:=Group([(1,7)(2,10)(3,11)(8,13)(9,12)]);
# Design 6023: autom. group order 2, simple
B[6023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,7,10,13],[1,4,5,10,11,13],[1,4,8,9,10,12],[1,5,6,11,12,13],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,10,11]];
G[6023]:=Group([(1,10)(3,9)(4,13)(6,8)(7,12)]);
# Design 6024: autom. group order 2, simple, derived
B[6024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,7,9,12],[1,4,5,10,11,13],[1,4,8,9,10,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,7,10,11,13],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,6,8,11,12],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6024]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6025: autom. group order 2, simple
B[6025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,11,12,13],[1,3,6,8,9,13],[1,4,5,7,10,13],[1,4,8,9,10,11],[1,5,6,10,12,13],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,7,9,10,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,9,11],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,8,9,10,12]];
G[6025]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 6026: autom. group order 2, simple
B[6026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,9,12,13],[1,3,6,11,12,13],[1,4,5,8,10,13],[1,4,7,10,12,13],[1,5,6,7,8,11],[1,6,7,8,9,13],[1,8,9,10,11,12],[2,3,7,8,10,12],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[6026]:=Group([(1,12)(2,8)(4,10)(5,6)(9,11)]);
# Design 6027: autom. group order 2, simple
B[6027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,8,10,13],[1,4,7,10,12,13],[1,5,6,7,8,9],[1,6,7,8,11,13],[1,8,9,10,11,12],[2,3,7,8,10,12],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,5,6,7,11,12],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[6027]:=Group([(1,12)(2,8)(4,10)(5,6)(9,11)]);
# Design 6028: autom. group order 2, simple
B[6028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,8,11,12],[1,4,5,10,12,13],[1,4,7,10,11,13],[1,5,6,7,9,11],[1,6,8,9,12,13],[1,7,8,9,10,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,7,8,12],[2,4,6,11,12,13],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,11,12,13],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[6028]:=Group([(1,11)(2,10)(3,8)(5,6)(7,9)(12,13)]);
# Design 6029: autom. group order 2, simple
B[6029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,6,8,10,11],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,11,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[6029]:=Group([(1,10)(3,9)(4,13)(6,8)(7,12)]);
# Design 6030: autom. group order 2, simple, derived
B[6030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,6,11,12,13],[1,4,5,9,10,13],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,6,7,8,9,13],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,9,10,11,13],[2,4,5,7,8,13],[2,4,6,8,10,11],[2,5,6,7,9,12],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,9,11,13],[4,5,7,10,11,12]];
G[6030]:=Group([(1,10)(2,3)(4,13)(5,9)(6,11)(8,12)]);
# Design 6031: autom. group order 2, simple
B[6031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,6,7,9,12],[1,4,5,11,12,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,7,8,9,10,11],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,8,9,11],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,6,7,11,12,13],[3,4,6,7,10,13],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,8,11,12],[3,5,8,9,11,13],[4,5,6,7,9,12],[4,5,7,9,10,11]];
G[6031]:=Group([(1,6)(3,13)(4,11)(5,10)(8,12)]);
# Design 6032: autom. group order 2, simple, derived
B[6032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,6,8,12,13],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,6,7,9,11],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,7,8,9,11],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,7,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[6032]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 6033: autom. group order 2, simple, derived
B[6033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,6,8,12,13],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,6,7,9,11],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,7,8,9,11],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,7,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[6033]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 6034: autom. group order 2, simple
B[6034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,12],[1,3,6,8,11,13],[1,4,5,9,10,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,3,9,10,11,13],[2,4,5,7,8,9],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,6,9,11,13],[4,5,8,10,11,12]];
G[6034]:=Group([(1,10)(2,3)(4,13)(5,9)(6,11)(7,12)]);
# Design 6035: autom. group order 2, simple
B[6035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,8,12],[1,4,5,7,9,13],[1,4,7,8,11,13],[1,5,6,8,10,13],[1,6,8,9,10,12],[1,7,9,10,11,12],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,9,12,13],[2,5,6,7,11,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,5,7,10,12,13]];
G[6035]:=Group([(2,9)(3,12)(4,10)(5,11)(6,7)]);
# Design 6036: autom. group order 2, simple, derived
B[6036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,12,13],[1,4,5,7,10,13],[1,4,8,9,10,12],[1,5,6,8,9,11],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,7,8,11,12],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,5,7,10,11,12]];
G[6036]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6037: autom. group order 2, simple, derived
B[6037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,7,9,10,12],[1,5,6,8,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,7,8,11,12],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,11,13],[4,5,7,9,10,11]];
G[6037]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 6038: autom. group order 2, simple, derived
B[6038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,6,7,9,13],[1,4,5,8,10,13],[1,4,7,9,10,12],[1,5,6,8,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,7,8,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,7,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[6038]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 6039: autom. group order 2, simple
B[6039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,5,11,12,13],[1,4,8,9,10,11],[1,5,7,8,9,13],[1,6,7,8,10,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,7,8,10,11],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,5,8,9,11,12],[2,7,9,10,12,13],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,7,9,10]];
G[6039]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 6040: autom. group order 2, simple, derived
B[6040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,10,11],[1,3,6,9,12,13],[1,4,5,7,11,13],[1,4,8,9,10,12],[1,5,8,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,7,8,9,10,11],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,11,12,13],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,7,10,12],[4,5,6,9,10,11]];
G[6040]:=Group([(2,9)(3,6)(4,12)(5,13)(7,8)(10,11)]);
# Design 6041: autom. group order 2, simple
B[6041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,8,10,11],[1,3,6,9,12,13],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,7,9,10,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,10,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,5,6,8,11,13],[2,5,7,8,9,11],[2,7,8,9,10,12],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,11,12,13],[4,5,6,7,10,12],[4,5,6,9,10,11]];
G[6041]:=Group([(2,9)(3,6)(4,13)(5,12)(10,11)]);
# Design 6042: autom. group order 2, simple
B[6042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,8,10,11],[1,3,6,9,12,13],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,7,9,10,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,5,6,10,11,13],[2,5,7,8,9,11],[2,7,8,9,10,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6042]:=Group([(2,9)(3,6)(4,13)(5,12)(10,11)]);
# Design 6043: autom. group order 2, simple
B[6043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,11,12],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,8,9,12,13],[2,3,6,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,8,11,13],[2,7,9,10,11,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[6043]:=Group([(1,10)(2,3)(4,13)(5,9)(7,12)]);
# Design 6044: autom. group order 2, simple
B[6044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,8,12],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,8,9,10,11],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,9,10,13],[2,3,8,10,12,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[6044]:=Group([(1,10)(2,3)(4,13)(5,9)(7,12)]);
# Design 6045: autom. group order 2, simple, derived
B[6045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,11,12,13],[1,4,5,9,10,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[6045]:=Group([(1,12)(3,13)(5,7)]);
# Design 6046: autom. group order 2, simple, derived
B[6046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,11,12,13],[1,4,5,8,9,13],[1,4,8,10,11,12],[1,5,7,8,11,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,7,8,9,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,8,9,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[6046]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6047: autom. group order 2, simple, derived
B[6047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,6,11,12,13],[1,4,5,8,9,13],[1,4,8,10,11,12],[1,5,7,10,11,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,7,8,9,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[6047]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6048: autom. group order 2, simple
B[6048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,8,9,11],[2,4,6,9,11,13],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,5,6,8,11,12],[3,5,9,11,12,13],[4,5,6,7,9,12],[4,5,6,7,10,13]];
G[6048]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6049: autom. group order 2, simple, derived
B[6049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,11,12,13],[1,4,5,9,10,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,10,11,12],[2,5,7,8,9,11],[2,7,9,10,12,13],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[6049]:=Group([(1,12)(3,13)(5,7)]);
# Design 6050: autom. group order 2, simple
B[6050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[6050]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6051: autom. group order 2, simple, derived
B[6051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,6,8,9,12],[1,4,5,7,10,13],[1,4,8,9,10,13],[1,5,7,8,12,13],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,6,7,12,13],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,7,8,9,10,12],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,6,9,10,11]];
G[6051]:=Group([(1,9)(3,10)(4,12)(6,13)]);
# Design 6052: autom. group order 2, simple, derived
B[6052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,11,13],[1,3,6,8,9,13],[1,4,5,8,12,13],[1,4,7,8,10,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,6,9,10,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,6,7,9,12],[3,4,7,9,11,13],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,6,8,11,13]];
G[6052]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)(8,13)]);
# Design 6053: autom. group order 2, simple
B[6053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,10,11],[1,3,5,7,9,12],[1,3,6,7,11,13],[1,4,5,8,11,12],[1,4,7,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,5,6,8,9,13],[2,5,7,9,11,13],[2,7,8,9,11,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[6053]:=Group([(2,8)(3,7)(5,13)(6,9)(11,12)]);
# Design 6054: autom. group order 2, simple
B[6054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,8,11],[1,3,6,7,12,13],[1,4,5,10,11,13],[1,4,8,9,10,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,9,10,13],[2,3,7,10,11,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,6,8,9,11],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,8,10,12],[3,5,9,11,12,13],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[6054]:=Group([(1,10)(2,3)(4,13)(5,9)(8,11)]);
# Design 6055: autom. group order 2, simple
B[6055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,13],[1,3,6,8,11,12],[1,4,5,7,12,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,7,8,9,11,13],[3,4,6,7,8,10],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,8,9,11],[4,5,6,10,12,13]];
G[6055]:=Group([(1,10)(2,6)(3,7)(5,11)(9,13)]);
# Design 6056: autom. group order 2, simple
B[6056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,6,7,10,11],[1,4,5,7,10,13],[1,4,7,8,9,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,7,8,10,12],[2,4,5,8,11,12],[2,4,6,10,12,13],[2,5,6,8,9,10],[2,5,7,8,11,13],[2,7,9,10,11,13],[3,4,6,8,11,13],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[6056]:=Group([(1,7)(4,8)(5,12)(6,10)(9,13)]);
# Design 6057: autom. group order 2, simple
B[6057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,11,12,13],[1,3,6,7,8,11],[1,4,5,7,10,12],[1,4,8,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,5,7,8,13],[2,4,6,10,11,13],[2,5,6,8,10,11],[2,5,7,11,12,13],[2,7,8,9,10,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,6,7,9,11],[4,5,6,8,9,12]];
G[6057]:=Group([(1,10)(2,9)(4,7)(6,13)(8,11)]);
# Design 6058: autom. group order 2, simple
B[6058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,7,12,13],[1,3,6,10,11,12],[1,4,5,8,9,10],[1,4,8,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,8,10,13],[2,3,8,9,11,12],[2,4,5,9,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,9,10,12,13],[3,5,7,8,10,11],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6058]:=Group([(1,4)(3,7)(5,11)(6,12)(9,13)]);
# Design 6059: autom. group order 2, simple, derived
B[6059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,6,7,10,11],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,9,12],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,6,8,10,11],[2,7,9,10,11,13],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,8,10,11,13],[3,5,7,8,10,12],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,6,9,11,12]];
G[6059]:=Group([(1,3)(2,5)(4,9)(6,10)(7,11)(8,13)]);
# Design 6060: autom. group order 2, simple
B[6060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,8,9,11],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,9,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,5,9,12,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,6,8,10,13],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,10,11,13],[3,5,7,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,6,8,9,12]];
G[6060]:=Group([(1,3)(2,5)(4,9)(6,10)(7,11)]);
# Design 6061: autom. group order 2, simple
B[6061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,8,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,8,9,11],[2,4,7,9,11,13],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,7,8,9,10,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,8,11,12],[3,5,9,11,12,13],[4,5,6,7,9,12],[4,5,6,7,10,13]];
G[6061]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6062: autom. group order 2, simple
B[6062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,8,13],[1,3,6,9,11,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,7,8,9,11],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,7,8,9,10,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,11,12,13],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,6,7,10,13]];
G[6062]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6063: autom. group order 2, simple
B[6063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,8,9,10,12],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,9],[2,4,7,9,11,13],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,8,9,10,11,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,13],[4,5,6,9,11,12]];
G[6063]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6064: autom. group order 2, simple
B[6064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,9,11,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,7,9,13],[2,4,7,8,9,11],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,8,9,10,11,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,5,7,11,12,13],[4,5,6,7,10,13],[4,5,6,9,11,12]];
G[6064]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6065: autom. group order 2, simple
B[6065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,7,8,9,10],[2,3,8,11,12,13],[2,4,5,6,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,6,8,9,12,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,7,8,9,12]];
G[6065]:=Group([(1,12)(2,4)(3,10)(5,6)(8,13)(9,11)]);
# Design 6066: autom. group order 2, simple
B[6066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,7,8,10,11],[2,3,8,11,12,13],[2,4,5,6,10,12],[2,4,7,10,12,13],[2,5,6,7,8,9],[2,5,9,10,11,13],[2,6,8,9,12,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[6066]:=Group([(1,12)(2,4)(3,10)(5,6)(8,13)(9,11)]);
# Design 6067: autom. group order 2, simple
B[6067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,5,8,11,13],[1,4,8,9,10,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,5,6,10,12],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,7,8,9,12]];
G[6067]:=Group([(1,12)(2,4)(3,10)(5,6)(8,13)(9,11)]);
# Design 6068: autom. group order 2, simple
B[6068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,5,8,11,13],[1,4,8,9,10,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,7,8,10,11],[2,3,8,11,12,13],[2,4,5,6,10,12],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,7,8,9,12]];
G[6068]:=Group([(1,12)(2,4)(3,10)(5,6)(8,13)(9,11)]);
# Design 6069: autom. group order 2, simple
B[6069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,5,10,11,13],[1,4,8,9,10,12],[1,5,7,9,11,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,5,6,12,13],[2,4,7,8,9,13],[2,5,6,7,8,11],[2,5,8,10,11,12],[2,6,9,10,12,13],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,8,9,10],[3,5,7,9,11,12],[4,5,6,7,9,12],[4,5,7,8,10,13]];
G[6069]:=Group([(2,11)(3,13)(4,9)(6,7)]);
# Design 6070: autom. group order 2, simple
B[6070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,6,8,12,13],[1,4,5,7,10,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,10,11,13],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,5,7,8,11,12]];
G[6070]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6071: autom. group order 2, simple
B[6071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,9,11],[1,3,6,10,11,13],[1,4,5,7,10,12],[1,4,8,9,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,6,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,10,11,12,13],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[6071]:=Group([(1,11)(2,9)(3,6)(5,7)(8,12)]);
# Design 6072: autom. group order 2, simple
B[6072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,8,11],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,5,7,10,12],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,6,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,11,12,13],[2,6,7,9,10,11],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,8,10,11,13],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[6072]:=Group([(1,11)(2,9)(3,6)(5,7)(8,12)]);
# Design 6073: autom. group order 2, simple
B[6073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,6,10,12,13],[1,4,5,7,8,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,3,8,10,11,12],[2,4,5,6,12,13],[2,4,9,10,11,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,8,9,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,9,12,13],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[6073]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6074: autom. group order 2, simple
B[6074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,6,8,10,13],[1,4,5,7,12,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,9,10,11,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,8,9,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,11,12,13],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[6074]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6075: autom. group order 2, simple, derived
B[6075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,10,13],[1,4,5,8,12,13],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,5,6,11,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,6,7,9,11],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6075]:=Group([(2,12)(3,13)(5,7)(6,10)]);
# Design 6076: autom. group order 2, simple
B[6076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,6,8,11,12],[1,4,5,8,11,13],[1,4,7,9,10,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,7,10,11,13],[2,3,8,9,10,12],[2,4,5,6,9,13],[2,4,7,8,12,13],[2,5,6,7,11,12],[2,5,7,8,10,11],[2,6,8,9,12,13],[3,4,6,8,10,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,8,9],[3,5,9,11,12,13],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[6076]:=Group([(1,12)(3,8)(4,9)(5,13)(7,10)]);
# Design 6077: autom. group order 2, simple
B[6077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,7,12,13],[1,3,6,8,10,13],[1,4,5,9,11,13],[1,4,8,10,12,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,7,9,11,13],[2,3,8,9,12,13],[2,3,9,10,11,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,8,13],[2,5,6,7,10,12],[2,7,8,10,11,13],[3,4,6,7,10,11],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[6077]:=Group([(1,9)(4,12)(5,10)(6,11)(7,13)]);
# Design 6078: autom. group order 2, simple
B[6078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,8,9,11],[1,3,6,7,11,13],[1,4,5,8,12,13],[1,4,9,10,11,12],[1,5,7,10,12,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,5,6,7,9,12],[2,5,6,8,11,12],[2,7,8,9,10,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,7,8,10,13],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[6078]:=Group([(1,12)(2,9)(5,13)(7,10)]);
# Design 6079: autom. group order 2, simple
B[6079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,9,12,13],[1,3,6,8,11,13],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,9,12,13],[2,5,6,7,8,12],[2,5,6,7,11,13],[2,8,9,10,11,13],[3,4,6,8,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,9,10,12]];
G[6079]:=Group([(1,13)(3,8)(4,9)(5,10)(6,11)(7,12)]);
# Design 6080: autom. group order 2, simple
B[6080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,6,7,10,12],[1,4,5,9,11,12],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,7,9,12,13],[2,3,9,10,11,13],[2,4,5,8,10,11],[2,4,6,8,9,13],[2,5,6,7,8,12],[2,5,6,10,12,13],[2,7,8,10,11,12],[3,4,6,7,11,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[4,5,6,7,9,10],[4,5,7,9,12,13]];
G[6080]:=Group([(1,9)(4,13)(5,10)(6,11)(8,12)]);
# Design 6081: autom. group order 2, simple, derived
B[6081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,5,10,11,13],[1,4,8,9,10,12],[1,5,7,9,11,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,9,11],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,6,8,9,12],[2,5,6,8,10,13],[2,7,9,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[6081]:=Group([(2,11)(3,13)(4,9)(6,7)]);
# Design 6082: autom. group order 2, simple
B[6082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,7,8,9,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,6,9,10,13],[2,7,9,10,12,13],[3,4,6,8,9,10],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[6082]:=Group([(1,10)(3,9)(4,13)(8,12)]);
# Design 6083: autom. group order 2, simple
B[6083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,10,13],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,9,10,11,13],[1,5,7,8,11,12],[1,6,7,8,10,12],[1,6,9,10,12,13],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,7,8,9,10,11],[3,4,6,7,9,12],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[6083]:=Group([(1,3)(2,5)(4,10)(6,9)(7,13)]);
# Design 6084: autom. group order 2, simple
B[6084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,10,11],[1,3,6,9,11,13],[1,4,5,8,12,13],[1,4,7,10,11,12],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,7,11,13],[2,4,6,8,9,13],[2,5,6,8,11,12],[2,5,6,9,10,12],[2,7,8,9,10,11],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6084]:=Group([(1,12)(2,10)(5,13)(7,9)]);
# Design 6085: autom. group order 2, simple
B[6085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,10,11],[1,3,6,8,11,13],[1,4,5,7,12,13],[1,4,8,10,11,12],[1,5,8,9,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,5,6,7,11,12],[2,5,6,8,10,12],[2,7,8,9,10,11],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6085]:=Group([(1,12)(2,10)(5,13)(8,9)]);
# Design 6086: autom. group order 2, simple
B[6086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,11],[1,3,5,8,11,13],[1,3,8,9,10,12],[1,4,5,6,12,13],[1,4,7,9,11,13],[1,5,7,10,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,5,7,10,11,12],[2,5,8,10,11,13],[2,6,7,8,9,13],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,7,8,12],[3,5,6,7,9,11],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[6086]:=Group([(1,13)(3,9)(4,8)(5,7)(10,12)]);
# Design 6087: autom. group order 2, simple
B[6087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,10,12,13],[1,3,7,8,9,13],[1,4,5,6,11,13],[1,4,7,8,10,12],[1,5,7,11,12,13],[1,6,8,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,6,7,11,12],[3,4,8,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,7,9,10,13]];
G[6087]:=Group([(2,11)(3,13)(4,6)(7,9)(10,12)]);
# Design 6088: autom. group order 2, simple
B[6088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,10,12,13],[1,3,7,8,9,13],[1,4,5,6,11,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,7,8,11,12],[2,5,8,9,10,11],[2,6,9,10,12,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,7,9,10,13]];
G[6088]:=Group([(2,11)(3,13)(4,6)(7,9)(10,12)]);
# Design 6089: autom. group order 2, simple
B[6089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,6,10,12],[1,4,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,9,10],[1,6,7,8,12,13],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,8,9,10,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,8,11,12],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,8,9,10,11],[3,5,6,8,10,13],[3,5,7,9,10,12],[4,5,6,7,10,11],[4,5,7,9,12,13]];
G[6089]:=Group([(1,3)(4,7)(6,9)(10,12)(11,13)]);
# Design 6090: autom. group order 2, simple
B[6090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,12],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,7,10,12,13],[2,3,6,9,10,11],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,9,10,13],[2,5,6,11,12,13],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,5,7,8,10,11]];
G[6090]:=Group([(1,10)(2,3)(4,11)(5,9)(7,13)]);
# Design 6091: autom. group order 2, simple
B[6091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,6,11,12],[1,4,8,9,10,11],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,7,10,12,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,5,8,10,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[6091]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6092: autom. group order 2, simple
B[6092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,6,11,12],[1,4,8,9,10,12],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,5,8,10,13],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,7,9,12,13]];
G[6092]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6093: autom. group order 2, simple
B[6093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,11,12,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,9,11,12,13],[2,4,5,10,11,12],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[6093]:=Group([(1,9)(2,12)(3,6)(5,8)(11,13)]);
# Design 6094: autom. group order 2, simple
B[6094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,11,12,13],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,9,11,12,13],[2,4,5,10,11,12],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,9,10,13],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[6094]:=Group([(1,9)(2,12)(3,6)(5,8)(11,13)]);
# Design 6095: autom. group order 2, simple
B[6095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,5,6,10,12],[1,4,7,9,10,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,9,11,12,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,6,7,9,11],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,5,6,7,12,13],[3,5,7,9,10,11],[4,5,6,8,11,13],[4,5,8,9,10,12]];
G[6095]:=Group([(1,12)(2,8)(3,9)(4,5)(6,10)]);
# Design 6096: autom. group order 2, simple
B[6096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,8,9,11],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,8,10,11,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[6096]:=Group([(1,9)(2,12)(3,6)(5,7)(11,13)]);
# Design 6097: autom. group order 2, simple
B[6097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,8,9,11],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,8,10,11,12],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,7,8,13],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,7,10,11],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,6,8,9,12],[4,5,7,8,11,13]];
G[6097]:=Group([(1,9)(2,12)(3,6)(5,7)(11,13)]);
# Design 6098: autom. group order 2, simple
B[6098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,8,9,11],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,9,10,11,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,7,10,12,13],[4,5,6,8,9,12],[4,5,8,10,11,12]];
G[6098]:=Group([(1,9)(2,12)(3,6)(5,7)(11,13)]);
# Design 6099: autom. group order 2, simple
B[6099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,5,6,8,10],[1,4,7,8,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[1,6,9,10,11,13],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[6099]:=Group([(1,6)(3,7)(4,13)(5,11)(8,9)]);
# Design 6100: autom. group order 2, simple
B[6100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,8,9,12],[1,4,5,6,10,13],[1,4,7,9,11,13],[1,5,7,9,10,12],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,6,9,10,11],[2,3,7,10,11,13],[2,4,5,8,9,12],[2,4,8,9,10,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,10,11]];
G[6100]:=Group([(1,10)(2,3)(4,11)(5,9)(8,13)]);
# Design 6101: autom. group order 2, simple
B[6101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,5,6,10,11],[1,4,7,9,11,13],[1,5,7,8,9,12],[1,6,8,9,10,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,13],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,9,12,13],[4,5,7,8,11,12]];
G[6101]:=Group([(1,9)(2,13)(3,6)(5,8)(7,12)]);
# Design 6102: autom. group order 2, simple
B[6102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,5,6,9,13],[1,4,7,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[6102]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6103: autom. group order 2, simple, derived
B[6103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,5,6,9,13],[1,4,7,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6103]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6104: autom. group order 2, simple
B[6104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,7,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[6104]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6105: autom. group order 2, simple
B[6105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,10,12,13],[1,3,7,8,9,13],[1,4,5,6,11,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,11,12],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,6,9,10,12,13],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,8,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6105]:=Group([(2,11)(3,13)(4,6)(7,9)(10,12)]);
# Design 6106: autom. group order 2, simple
B[6106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,7,10,12,13],[1,4,5,6,8,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,5,7,10,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[6106]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6107: autom. group order 2, simple
B[6107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,7,8,12,13],[1,4,5,6,10,13],[1,4,8,9,10,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,7,10,11,13],[4,5,6,8,11,12],[4,5,7,9,10,12]];
G[6107]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6108: autom. group order 2, simple, derived
B[6108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,11,12],[1,3,7,8,11,12],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,9,11,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6108]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6109: autom. group order 2, simple
B[6109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,11,12],[1,3,7,8,12,13],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,9,11,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6109]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6110: autom. group order 2, simple, derived
B[6110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,9,11,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6110]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6111: autom. group order 2, simple
B[6111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,9,11,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6111]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6112: autom. group order 2, simple, derived
B[6112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,10,11,12,13],[2,5,6,9,10,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,9,11,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6112]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6113: autom. group order 2, simple, derived
B[6113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,10,11,12],[1,3,7,11,12,13],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6113]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6114: autom. group order 2, simple
B[6114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,10,11,12],[1,3,7,11,12,13],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6114]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6115: autom. group order 2, simple, derived
B[6115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,10,12,13],[1,3,7,11,12,13],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,6,7,9,10,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6115]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6116: autom. group order 2, simple, derived
B[6116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6116]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6117: autom. group order 2, simple
B[6117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,8,9,11,13],[1,5,7,8,9,11],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,10,11,12,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6117]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6118: autom. group order 2, simple, derived
B[6118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,10,11,12,13],[2,5,6,9,10,13],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6118]:=Group([(1,9)(2,12)(3,6)(5,7)]);
# Design 6119: autom. group order 2, simple
B[6119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,10,12],[1,3,7,11,12,13],[1,4,5,6,11,13],[1,4,8,9,10,11],[1,5,7,8,9,13],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,7,8,9,13],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,7,10,13],[4,5,8,9,11,12]];
G[6119]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)]);
# Design 6120: autom. group order 2, simple
B[6120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,9,10,11,12],[1,5,8,9,11,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,12,13],[2,3,7,9,10,13],[2,4,5,7,8,12],[2,4,8,9,11,13],[2,5,6,10,11,12],[2,5,7,8,10,11],[2,6,8,10,12,13],[3,4,6,7,11,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,6,7,9,12],[4,5,7,9,10,13]];
G[6120]:=Group([(1,9)(4,13)(5,10)(6,7)(8,12)]);
# Design 6121: autom. group order 2, simple
B[6121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,6,10,13],[1,4,8,9,10,11],[1,5,9,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,12,13],[2,3,7,9,10,13],[2,4,5,7,8,12],[2,4,8,9,11,13],[2,5,6,8,10,11],[2,5,7,10,11,12],[2,6,8,10,12,13],[3,4,6,7,11,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,7,9,10,13]];
G[6121]:=Group([(1,9)(4,13)(5,10)(6,7)(8,12)]);
# Design 6122: autom. group order 2, simple
B[6122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,7,10,12,13],[1,4,5,6,8,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,9,10,11,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,8,9,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[6122]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6123: autom. group order 2, simple
B[6123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,7,8,10,13],[1,4,5,6,12,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,9,10,11,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,8,9,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[6123]:=Group([(1,11)(2,9)(3,4)(5,13)(6,7)]);
# Design 6124: autom. group order 2, simple, derived
B[6124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,6,9,13],[1,4,7,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[6124]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6125: autom. group order 2, simple
B[6125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,6,9,13],[1,4,7,8,12,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[6125]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6126: autom. group order 2, simple
B[6126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,9,11,13],[1,3,8,11,12,13],[1,4,5,6,8,10],[1,4,7,10,12,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,8,11,13],[2,5,8,10,11,12],[2,6,7,9,10,11],[3,4,6,7,10,11],[3,4,6,8,11,12],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,7,8,10,13],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[6126]:=Group([(1,6)(3,11)(4,13)(5,7)(9,10)]);
# Design 6127: autom. group order 2, simple, derived
B[6127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,9,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,6,7,9,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,7,8,9,11],[4,5,6,8,11,12],[4,5,8,9,10,12]];
G[6127]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 6128: autom. group order 2, simple, derived
B[6128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,5,6,9,13],[1,4,7,10,12,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,6,8,11,12],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[6128]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6129: autom. group order 2, simple
B[6129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,5,6,9,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,11,12],[4,5,7,9,10,12]];
G[6129]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6130: autom. group order 2, simple
B[6130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,5,6,9,13],[1,4,7,10,12,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[6130]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6131: autom. group order 2, simple, derived
B[6131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,5,6,9,13],[1,4,7,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,9,10,11,12],[4,5,6,8,11,12],[4,5,7,8,9,10]];
G[6131]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6132: autom. group order 2, simple
B[6132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,10,11],[1,3,8,11,12,13],[1,4,5,6,8,13],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,8,10,12,13],[4,5,6,10,11,13],[4,5,7,9,11,12]];
G[6132]:=Group([(1,3)(2,5)(4,10)(6,9)(8,11)]);
# Design 6133: autom. group order 2, simple
B[6133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,5,6,10,12],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,8,12,13],[3,5,9,10,11,12],[4,5,6,9,11,13],[4,5,7,8,11,12]];
G[6133]:=Group([(1,9)(2,13)(3,6)(5,7)(8,11)]);
# Design 6134: autom. group order 2, simple
B[6134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,5,6,8,12],[1,4,7,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,6,7,8,11],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,6,9,10,12],[3,4,6,11,12,13],[3,4,7,9,11,13],[3,5,6,8,10,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,8,9,10,11]];
G[6134]:=Group([(1,8)(2,3)(4,7)(5,11)(9,12)]);
# Design 6135: autom. group order 2, simple
B[6135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,5,6,8,12],[1,4,7,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,6,7,8,11],[2,3,8,10,11,12],[2,4,5,7,9,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,7,11,12,13],[3,5,6,8,10,13],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,5,8,9,10,11]];
G[6135]:=Group([(1,8)(2,3)(4,7)(5,11)(9,12)]);
# Design 6136: autom. group order 2, simple, derived
B[6136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,7,8,10,12],[1,5,8,9,11,12],[1,6,7,8,11,13],[1,6,7,9,10,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,6,8,10,12],[3,4,6,9,11,12],[3,4,7,10,11,13],[3,5,6,7,8,9],[3,5,6,7,10,11],[4,5,7,9,11,12],[4,5,8,9,10,13]];
G[6136]:=Group([(1,12)(3,7)(4,13)(8,9)]);
# Design 6137: autom. group order 2, simple
B[6137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,10,13],[1,3,7,11,12,13],[1,4,5,9,12,13],[1,4,6,7,8,12],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,8,9,10,11,13],[2,3,6,8,11,13],[2,3,6,9,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[6137]:=Group([(2,5)(4,10)(6,9)(7,13)(11,12)]);
# Design 6138: autom. group order 2, simple
B[6138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,6,10,11,13],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,6,7,8,13],[2,3,6,11,12,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,7,9,11,13],[4,5,6,7,8,11],[4,5,6,7,9,12]];
G[6138]:=Group([(2,13)(3,10)(4,6)(5,7)(8,11)(9,12)]);
# Design 6139: autom. group order 2, simple, derived
B[6139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,9,11],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,7,8,9,10],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,9,10,11,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[6139]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6140: autom. group order 2, simple, derived
B[6140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,9,11],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[6140]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6141: autom. group order 2, simple, derived
B[6141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,6,8,9,13],[2,4,5,8,11,13],[2,4,7,8,9,10],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,9,10,11,13],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[6141]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6142: autom. group order 2, simple, derived
B[6142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,6,8,9,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[6142]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6143: autom. group order 2, simple
B[6143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,8,9,12],[1,4,6,7,12,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,7,8,9,10,11],[2,3,6,7,8,11],[2,3,6,9,12,13],[2,4,5,7,11,13],[2,4,8,9,10,13],[2,5,7,8,10,12],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,6,8,10,12],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[6143]:=Group([(2,5)(4,10)(6,9)(8,13)(11,12)]);
# Design 6144: autom. group order 2, simple
B[6144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,7,8,11,13],[1,4,5,10,12,13],[1,4,6,9,11,13],[1,5,6,7,8,12],[1,6,7,9,10,12],[1,8,9,10,11,12],[2,3,6,10,12,13],[2,3,7,9,12,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,5,7,8,9,10],[2,5,8,11,12,13],[2,6,7,10,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[4,5,6,7,9,13],[4,5,7,8,10,13]];
G[6144]:=Group([(1,5)(2,13)(3,10)(6,12)(9,11)]);
# Design 6145: autom. group order 2, simple
B[6145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,7,8,10,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,7,8,12],[1,6,7,9,10,12],[1,8,9,10,11,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,8,9,10],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,7,8,9,13]];
G[6145]:=Group([(1,5)(2,13)(3,9)(6,12)(10,11)]);
# Design 6146: autom. group order 2, simple
B[6146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,7,8,11,13],[1,4,5,10,12,13],[1,4,6,9,11,13],[1,5,6,7,8,12],[1,6,8,9,10,12],[1,7,9,10,11,12],[2,3,6,10,12,13],[2,3,7,9,12,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,5,7,8,9,10],[2,5,8,11,12,13],[2,6,7,10,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,6,7,9,13],[4,5,7,8,10,13]];
G[6146]:=Group([(1,5)(2,13)(3,10)(6,12)(9,11)]);
# Design 6147: autom. group order 2, simple
B[6147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,7,8,10,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,7,8,12],[1,6,8,9,10,12],[1,7,9,10,11,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,8,9,10],[2,5,7,8,9,11],[2,5,8,10,12,13],[2,6,7,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,4,8,11,12,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,10,13],[4,5,7,8,9,13]];
G[6147]:=Group([(1,5)(2,13)(3,9)(6,12)(10,11)]);
# Design 6148: autom. group order 2, simple, derived
B[6148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,12],[1,3,5,9,11,12],[1,3,8,10,11,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,10,12,13],[1,6,7,9,12,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,5,7,8,9,13],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,6,7,11,13],[3,4,8,9,10,12],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,6,7,10,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6148]:=Group([(2,13)(3,10)(4,6)(5,8)(7,12)(9,11)]);
# Design 6149: autom. group order 2, simple
B[6149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,12],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,10,11,13],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,11],[2,5,7,8,9,13],[2,5,7,8,10,12],[2,6,8,10,11,12],[3,4,6,7,8,10],[3,4,8,10,11,13],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,7,9,11],[4,5,7,9,10,12]];
G[6149]:=Group([(2,6)(3,13)(4,10)(5,7)(8,11)(9,12)]);
# Design 6150: autom. group order 2, simple
B[6150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,10,13],[1,3,7,11,12,13],[1,4,5,9,12,13],[1,4,6,8,11,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,5,7,8,12],[2,4,6,7,10,13],[2,5,7,11,12,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,6,7,9,11],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[6150]:=Group([(2,5)(4,10)(6,9)(7,13)(11,12)]);
# Design 6151: autom. group order 2, simple
B[6151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,5,6,9,11,13],[1,6,7,8,10,13],[1,7,8,9,12,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,7,10,13],[2,5,7,8,9,11],[2,5,9,10,12,13],[2,6,8,10,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[4,5,6,8,11,12],[4,5,7,8,9,10]];
G[6151]:=Group([(2,13)(3,8)(4,12)(5,7)(6,9)]);
# Design 6152: autom. group order 2, simple, derived
B[6152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,7,11,12],[1,5,6,8,9,13],[1,6,7,8,9,10],[1,8,9,11,12,13],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,12],[4,5,6,9,10,11],[4,5,7,10,11,13]];
G[6152]:=Group([(1,10)(2,13)(5,12)(7,9)]);
# Design 6153: autom. group order 2, simple, derived
B[6153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,9,11],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,6,7,8,10],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,10,11,13],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[6153]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6154: autom. group order 2, simple, derived
B[6154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,9,11],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,8,10],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,10,11,13],[4,5,6,8,9,13],[4,5,7,9,11,12]];
G[6154]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6155: autom. group order 2, simple, derived
B[6155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,6,7,8,9],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,8,10,13],[4,5,7,9,10,11]];
G[6155]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6156: autom. group order 2, simple, derived
B[6156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,8,9],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[6156]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6157: autom. group order 2, simple, derived
B[6157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,7,8,13],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6157]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6158: autom. group order 2, simple, derived
B[6158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[4,5,6,7,11,13],[4,5,8,9,10,12]];
G[6158]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6159: autom. group order 2, simple
B[6159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,6,7,8,13],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6159]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6160: autom. group order 2, simple
B[6160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[4,5,6,7,11,13],[4,5,8,9,10,12]];
G[6160]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6161: autom. group order 2, simple, derived
B[6161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,10,11],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,5,6,8,10,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,10,11,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[6161]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6162: autom. group order 2, simple, derived
B[6162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,10,11],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,5,6,8,10,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,5,8,11,12],[2,4,6,7,8,9],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6162]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6163: autom. group order 2, simple
B[6163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,7,9,10,11],[2,4,5,8,11,13],[2,4,6,7,8,10],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,10,11,13],[4,5,6,7,9,11],[4,5,8,9,10,13]];
G[6163]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6164: autom. group order 2, simple
B[6164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,11,13],[2,4,6,7,8,9],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[6164]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6165: autom. group order 2, simple
B[6165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,10,12],[1,3,8,11,12,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,7,9,12,13],[2,4,5,7,8,13],[2,4,6,8,10,12],[2,5,7,10,11,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,7,8,11],[3,5,6,9,12,13],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[6165]:=Group([(2,5)(4,10)(6,9)(8,12)(11,13)]);
# Design 6166: autom. group order 2, simple
B[6166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,10,12],[1,3,8,11,12,13],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,7,9,12,13],[2,4,5,7,8,11],[2,4,6,8,10,12],[2,5,7,10,12,13],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,7,8,11],[3,5,6,9,11,12],[4,5,6,7,9,13],[4,5,8,9,10,12]];
G[6166]:=Group([(2,5)(4,10)(6,9)(8,12)(11,13)]);
# Design 6167: autom. group order 2, simple
B[6167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,8,9,12],[1,4,6,7,12,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,7,9,12,13],[2,4,5,7,11,13],[2,4,6,8,10,13],[2,5,7,8,10,12],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,6,8,10,12],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,6,9,12,13],[4,5,6,7,9,11],[4,5,8,9,10,13]];
G[6167]:=Group([(2,5)(4,10)(6,9)(8,13)(11,12)]);
# Design 6168: autom. group order 2, simple
B[6168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,9,10,12],[1,4,6,7,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,8,9,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,6,8,9,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,8,9,10,11],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[6168]:=Group([(1,3)(4,7)(6,9)(10,12)(11,13)]);
# Design 6169: autom. group order 2, simple
B[6169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,5,6,7,8,12],[1,6,7,8,9,10],[1,8,9,10,11,12],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,9,11,12],[2,5,8,10,12,13],[2,6,7,8,11,13],[3,4,6,8,11,12],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,7,10,11,13]];
G[6169]:=Group([(1,6)(3,11)(4,13)(5,9)(7,8)(10,12)]);
# Design 6170: autom. group order 2, simple
B[6170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,8,11,12],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,9,11,13],[1,5,6,7,9,10],[1,6,7,8,10,13],[1,8,9,10,11,12],[2,3,6,10,11,13],[2,3,7,9,10,11],[2,4,5,8,9,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,8,9,12],[3,4,6,8,9,12],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,5,7,8,10,11]];
G[6170]:=Group([(1,10)(2,3)(4,11)(5,9)(6,7)(8,13)]);
# Design 6171: autom. group order 2, simple
B[6171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,8,11,12],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,9,11],[1,6,8,11,12,13],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,9,10,11,12],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,10,11,12],[3,5,7,8,10,13],[4,5,6,7,8,9],[4,5,7,9,12,13]];
G[6171]:=Group([(1,9)(2,11)(5,13)(7,10)]);
# Design 6172: autom. group order 2, simple, derived
B[6172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,5,6,7,8,10],[1,6,8,9,11,13],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,13],[4,5,7,8,11,12]];
G[6172]:=Group([(1,11)(2,8)(4,6)(5,10)(7,13)]);
# Design 6173: autom. group order 2, simple
B[6173]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,8,10,11],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,6,9,11,13],[1,5,6,7,9,12],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,7,9,11,13],[2,6,7,8,10,11],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6173]:=Group([(1,10)(2,6)(3,11)(4,7)(5,8)(9,12)]);
# Design 6174: autom. group order 2, simple, derived
B[6174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,7,11,12,13],[1,4,5,9,12,13],[1,4,6,8,12,13],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,9,11,12],[3,5,7,8,10,13],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[6174]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6175: autom. group order 2, simple, derived
B[6175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,5,6,9,10,13],[1,6,7,8,10,13],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[6175]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6176: autom. group order 2, simple, derived
B[6176]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,12],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,9,10,11],[1,7,8,10,12,13],[2,3,6,10,12,13],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,6,8,11,13],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,8,10,11,12],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6176]:=Group([(2,13)(3,10)(4,8)(5,7)(6,12)(9,11)]);
# Design 6177: autom. group order 2, simple
B[6177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,8,10,13],[1,4,5,9,10,12],[1,4,6,10,11,13],[1,5,6,8,9,13],[1,6,7,10,12,13],[1,7,8,9,11,12],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,7,9,10,11]];
G[6177]:=Group([(1,5)(2,10)(3,9)(6,12)(8,11)]);
# Design 6178: autom. group order 2, simple
B[6178]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,7,10,11,13],[1,4,5,9,10,12],[1,4,6,8,10,13],[1,5,6,9,11,13],[1,6,7,10,12,13],[1,7,8,9,11,12],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,5,11,12,13],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,7,9,10,11]];
G[6178]:=Group([(1,5)(2,10)(3,9)(6,12)(8,11)]);
# Design 6179: autom. group order 2, simple
B[6179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,9,11,12],[1,3,8,10,12,13],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,5,6,10,11,13],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,9,10,13],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,6,7,9,10],[3,4,6,10,11,12],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6179]:=Group([(2,13)(3,10)(4,6)(5,8)(7,11)(9,12)]);
# Design 6180: autom. group order 2, simple, derived
B[6180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,12],[1,3,5,9,11,12],[1,3,8,10,11,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,10,12,13],[1,6,7,9,12,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,11,13],[2,5,8,9,10,12],[2,6,7,9,10,11],[3,4,6,7,9,10],[3,4,6,10,11,12],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6180]:=Group([(2,13)(3,10)(4,6)(5,8)(7,12)(9,11)]);
# Design 6181: autom. group order 2, simple, derived
B[6181]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,6,7,10,12],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,5,8,9,10],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,7,8,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[6181]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6182: autom. group order 2, simple, derived
B[6182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,6,7,10,11],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,5,8,12,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,9,10,11,12]];
G[6182]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 6183: autom. group order 2, simple, derived
B[6183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,8,12,13],[1,3,9,10,11,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,6,7,8,10],[1,6,7,10,11,12],[1,7,8,9,11,13],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,7,8,10,12],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,8,9,10,12]];
G[6183]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 6184: autom. group order 2, simple
B[6184]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,8,10,11,12],[1,4,5,9,10,13],[1,4,6,7,8,10],[1,5,6,9,11,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,6,8,9,13],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[6184]:=Group([(1,5)(2,10)(3,9)(6,13)(7,11)]);
# Design 6185: autom. group order 2, simple
B[6185]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,8,11,12],[1,4,6,7,10,12],[1,5,6,9,12,13],[1,6,8,9,10,13],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,9,10,11,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,8,10,11],[4,5,7,9,12,13]];
G[6185]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6186: autom. group order 2, simple, derived
B[6186]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,5,6,7,9,10],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,8,11,12],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,9,11,12],[3,5,7,8,9,11],[4,5,6,7,11,13],[4,5,7,8,10,12]];
G[6186]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 6187: autom. group order 2, simple
B[6187]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,6,7,10,12],[1,6,8,9,10,12],[1,7,8,10,11,13],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,12],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6187]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 6188: autom. group order 2, simple, derived
B[6188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,6,7,10,12],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,12],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6188]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 6189: autom. group order 2, simple, derived
B[6189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[6189]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 6190: autom. group order 2, simple, derived
B[6190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,8,13],[4,5,7,9,11,12]];
G[6190]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 6191: autom. group order 2, simple, derived
B[6191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,9,12,13],[1,6,7,8,10,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,9,10,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,8,9,11,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,9,10],[3,5,8,9,11,12],[4,5,6,7,8,13],[4,5,7,10,11,12]];
G[6191]:=Group([(2,12)(3,13)(4,9)(8,10)]);
# Design 6192: autom. group order 2, simple
B[6192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,7,9,11,13]];
G[6192]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 6193: autom. group order 2, simple
B[6193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[6193]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 6194: autom. group order 2, simple
B[6194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,9,11,13],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,6,8,9,10],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,5,7,10,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,6,7,8,10],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,10,11,12],[4,5,6,8,11,13],[4,5,7,8,9,12]];
G[6194]:=Group([(1,9)(2,11)(5,13)(6,7)(8,10)]);
# Design 6195: autom. group order 2, simple, derived
B[6195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,6,7,10,12],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[6195]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 6196: autom. group order 2, simple
B[6196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,6,7,10,12],[3,4,9,10,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,5,7,8,11,13]];
G[6196]:=Group([(2,13)(3,12)(4,10)(8,9)]);
# Design 6197: autom. group order 2, simple
B[6197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[6197]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6198: autom. group order 2, simple
B[6198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,10,11],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,8,9,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,11,13]];
G[6198]:=Group([(2,13)(3,12)(4,10)(7,9)]);
# Design 6199: autom. group order 2, simple, derived
B[6199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,6,9,11,13],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,11,12,13],[2,3,7,8,9,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,7,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[6199]:=Group([(2,11)(3,13)(4,9)(7,10)]);
# Design 6200: autom. group order 2, simple, derived
B[6200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,10,11],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,8,9,10,12,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,7,11,12,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[6200]:=Group([(2,13)(3,12)(4,10)(7,9)]);
# Design 6201: autom. group order 2, simple
B[6201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,6,9,11,13],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,9,10,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,6,7,11,13],[3,4,6,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,9],[3,5,7,9,11,12],[4,5,6,8,10,13],[4,5,7,9,10,12]];
G[6201]:=Group([(2,11)(3,13)(4,9)(7,10)]);
# Design 6202: autom. group order 2, simple, derived
B[6202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,6,9,11,13],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,11,12,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,7,8,11,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,8,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,8,10,11,12]];
G[6202]:=Group([(2,11)(3,13)(4,9)(7,10)]);
# Design 6203: autom. group order 2, simple
B[6203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,10,11],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,8,9,10,12,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,7,11,12,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[6203]:=Group([(2,13)(3,12)(4,10)(7,9)]);
# Design 6204: autom. group order 2, simple
B[6204]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,5,6,9,10,11],[1,6,8,11,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,10,11,12],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,8,9,11],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,9,10,12,13]];
G[6204]:=Group([(1,10)(2,11)(5,13)(7,9)]);
# Design 6205: autom. group order 2, simple, derived
B[6205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,13],[1,5,6,11,12,13],[1,6,7,8,9,12],[1,8,9,10,11,13],[2,3,6,9,11,13],[2,3,7,8,11,12],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,10,12,13],[2,6,8,9,10,12],[3,4,6,8,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,8,9,10],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,11]];
G[6205]:=Group([(1,8)(2,6)(3,9)(4,12)(5,10)(11,13)]);
# Design 6206: autom. group order 2, simple
B[6206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,6,10,11,13],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,6,7,8,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,8,10,11,12],[3,4,6,8,10,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[6206]:=Group([(2,13)(3,10)(4,6)(5,7)(8,11)(9,12)]);
# Design 6207: autom. group order 2, simple
B[6207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,12,13],[1,3,7,8,12,13],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,6,8,11,12],[1,6,8,9,10,13],[1,7,8,9,10,11],[2,3,6,8,10,11],[2,3,7,9,11,13],[2,4,5,8,10,13],[2,4,8,10,11,12],[2,5,6,7,9,12],[2,5,7,8,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[6207]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 6208: autom. group order 2, simple
B[6208]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,13],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,7,9,12],[1,6,7,8,10,12],[1,8,9,11,12,13],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,7,8,10,11],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[4,5,6,9,10,11],[4,5,7,8,9,11]];
G[6208]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 6209: autom. group order 2, simple, derived
B[6209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,6,7,11,12],[1,6,8,9,10,12],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,11,12,13],[2,4,5,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,10,11,12,13],[2,6,7,9,12,13],[3,4,6,8,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,8,10,13],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[6209]:=Group([(1,13)(2,9)(3,7)(5,6)(8,11)(10,12)]);
# Design 6210: autom. group order 2, simple, derived
B[6210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,10,11,13],[1,5,6,7,11,12],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,7,9,11],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,6,7,8,12],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,7,10,11,12],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[6210]:=Group([(1,8)(2,6)(3,9)(4,12)(5,10)(7,11)]);
# Design 6211: autom. group order 2, simple
B[6211]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,5,6,7,9,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,5,7,8,13],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,6,8,9,13],[3,4,6,9,11,12],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,7,10,11,13],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[6211]:=Group([(1,5)(2,10)(3,9)(6,13)(7,11)]);
# Design 6212: autom. group order 2, simple, derived
B[6212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,9,10,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6212]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6213: autom. group order 2, simple
B[6213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,11,13],[4,5,7,9,10,11]];
G[6213]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 6214: autom. group order 2, simple
B[6214]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,12,13],[1,3,7,8,12,13],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,6,8,11,12],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,6,8,10,11],[2,3,7,9,11,13],[2,4,5,7,10,12],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,9,10,12,13],[3,4,6,7,9,12],[3,4,6,11,12,13],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[6214]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 6215: autom. group order 2, simple
B[6215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,5,6,9,11,13],[1,6,7,8,10,13],[1,7,8,9,12,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,9,10,13],[2,5,6,10,12,13],[2,5,7,8,9,11],[2,6,8,10,11,12],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[6215]:=Group([(2,13)(3,8)(4,12)(5,7)(6,9)]);
# Design 6216: autom. group order 2, simple
B[6216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,9,11,12],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,5,6,10,11,13],[1,6,7,8,12,13],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,3,9,10,12,13],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,7,8,9],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[6216]:=Group([(2,13)(3,8)(4,12)(5,7)(9,10)]);
# Design 6217: autom. group order 2, simple
B[6217]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,8,9,11],[1,4,6,9,10,12],[1,5,6,10,11,13],[1,6,7,8,12,13],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,3,9,10,12,13],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,7,8,10],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[6217]:=Group([(2,13)(3,8)(4,12)(5,7)(9,10)]);
# Design 6218: autom. group order 2, simple
B[6218]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,12,13],[1,3,7,10,11,12],[1,4,5,8,9,11],[1,4,6,9,10,12],[1,5,6,10,11,13],[1,6,7,8,12,13],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,3,9,10,12,13],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,6,7,8,10],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,7,9,13],[4,5,8,10,11,12]];
G[6218]:=Group([(2,13)(3,8)(4,12)(5,7)(9,10)]);
# Design 6219: autom. group order 2, simple, derived
B[6219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,7,9,13],[1,4,6,8,12,13],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[6219]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6220: autom. group order 2, simple
B[6220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,7,9,13],[1,4,6,8,12,13],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[6220]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6221: autom. group order 2, simple
B[6221]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,11,13],[1,3,8,9,12,13],[1,4,5,8,10,12],[1,4,6,7,8,13],[1,5,6,7,9,12],[1,6,10,11,12,13],[1,7,8,9,10,11],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,13],[2,6,8,9,10,12],[3,4,6,8,10,11],[3,4,6,9,10,13],[3,4,7,9,12,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[6221]:=Group([(2,6)(3,13)(4,7)(5,11)(9,12)]);
# Design 6222: autom. group order 2, simple, derived
B[6222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,6,9,10,12],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,7,11,12],[2,3,9,10,11,13],[2,4,5,7,8,10],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[6222]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6223: autom. group order 2, simple
B[6223]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,6,10,11,13],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[6223]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 6224: autom. group order 2, simple
B[6224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,5,10,11,13],[1,4,6,7,8,9],[1,5,6,8,10,12],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,6,9,10,13],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,9,11,13],[4,5,7,9,10,12]];
G[6224]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 6225: autom. group order 2, simple, derived
B[6225]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,5,6,7,10,13],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,6,7,8,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[6225]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 6226: autom. group order 2, simple
B[6226]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,5,7,10,11],[1,4,6,8,10,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,7,9,10,12,13],[2,3,6,7,8,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,8,9,10,12],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[6226]:=Group([(1,9)(2,10)(4,8)(6,12)(7,11)]);
# Design 6227: autom. group order 2, simple, derived
B[6227]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,6,7,9,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,9,11,12,13],[4,5,6,8,10,13],[4,5,7,9,10,11]];
G[6227]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6228: autom. group order 2, simple, derived
B[6228]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,11],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,8,9,10],[2,5,6,7,9,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,9,10,11,13],[4,5,6,8,10,13],[4,5,7,9,11,12]];
G[6228]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6229: autom. group order 2, simple, derived
B[6229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,7,8,9,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,9,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6229]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6230: autom. group order 2, simple, derived
B[6230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,7,8,9,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,9,11,12,13],[4,5,6,7,11,13],[4,5,8,9,10,12]];
G[6230]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6231: autom. group order 2, simple, derived
B[6231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,7,8,10,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,10,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6231]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6232: autom. group order 2, simple, derived
B[6232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,11,12],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,10,11,12,13],[4,5,6,7,11,13],[4,5,8,9,10,12]];
G[6232]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6233: autom. group order 2, simple
B[6233]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,5,6,8,10,11],[1,6,7,11,12,13],[1,7,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,9,10,12,13]];
G[6233]:=Group([(1,10)(2,11)(5,13)(8,9)]);
# Design 6234: autom. group order 2, simple
B[6234]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,5,8,10,11],[1,4,6,7,9,12],[1,5,6,8,12,13],[1,6,7,9,11,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,9,10,13],[4,5,7,8,9,13]];
G[6234]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 6235: autom. group order 2, simple
B[6235]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,9,10,11],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,6,7,10,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,6,7,9,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,5,6,7,8,11],[2,5,7,9,10,13],[2,6,9,10,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,8,9,11,12],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[6235]:=Group([(1,10)(3,9)(4,13)(6,7)(8,11)]);
# Design 6236: autom. group order 2, simple
B[6236]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,10,11],[1,3,8,11,12,13],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,5,6,7,12,13],[1,6,7,9,10,13],[1,7,8,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,7,10,12],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,7,8,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,8,9,12],[3,5,8,10,12,13],[4,5,6,10,11,13],[4,5,7,9,11,12]];
G[6236]:=Group([(1,3)(2,5)(4,10)(6,9)(8,11)]);
# Design 6237: autom. group order 2, simple
B[6237]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,5,7,10,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,8,10,12],[1,7,8,9,11,13],[2,3,6,7,11,13],[2,3,7,8,11,12],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,5,7,10,11,12]];
G[6237]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6238: autom. group order 2, simple
B[6238]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,8,12,13],[1,4,5,7,9,13],[1,4,6,8,11,13],[1,5,6,8,10,12],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,6,7,9,11],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,7,8,11,13],[2,6,8,9,12,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[6238]:=Group([(1,12)(2,4)(3,10)(5,7)(6,13)(9,11)]);
# Design 6239: autom. group order 2, simple
B[6239]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,5,7,8,11],[2,4,7,9,12,13],[2,5,6,7,11,12],[2,5,8,10,12,13],[2,6,8,9,10,12],[3,4,6,8,12,13],[3,4,6,9,10,11],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[4,5,6,9,11,13],[4,5,7,9,10,13]];
G[6239]:=Group([(1,6)(2,8)(3,9)(4,12)(7,10)(11,13)]);
# Design 6240: autom. group order 2, simple
B[6240]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,7,8,9,12,13],[2,3,7,10,11,12],[2,3,8,9,11,12],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,9,10,11,13],[3,4,6,8,10,12],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,6,9,12,13],[4,5,7,8,9,11],[4,5,7,10,11,12]];
G[6240]:=Group([(1,6)(3,13)(4,7)(5,11)(8,12)(9,10)]);
# Design 6241: autom. group order 2, simple
B[6241]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,10,11],[1,3,7,8,11,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,6,8,12,13],[1,6,8,9,10,12],[1,7,9,10,11,12],[2,3,8,9,12,13],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,5,6,7,9,11],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,6,7,11,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,6,9,11,13],[4,5,7,8,9,10],[4,5,8,9,11,13]];
G[6241]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)]);
# Design 6242: autom. group order 2, simple
B[6242]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,12],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,10,11,13],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,11],[2,5,6,7,9,12],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,6,7,8,10],[3,4,6,9,11,13],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,7,8,10,11],[4,5,7,9,10,12]];
G[6242]:=Group([(2,6)(3,13)(4,10)(5,7)(8,11)(9,12)]);
# Design 6243: autom. group order 2, simple, derived
B[6243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,7,9,10,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,7,10,11,12],[4,5,8,9,10,12]];
G[6243]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 6244: autom. group order 2, simple
B[6244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,7,9,10,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,7,12,13],[1,6,8,9,11,13],[1,7,8,10,11,12],[2,3,7,8,12,13],[2,3,8,9,11,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,6,7,8,11],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[4,5,7,8,9,13],[4,5,7,9,10,11]];
G[6244]:=Group([(1,9)(3,10)(4,12)(6,8)]);
# Design 6245: autom. group order 2, simple, derived
B[6245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6245]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6246: autom. group order 2, simple
B[6246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,9,10,13],[1,5,6,8,9,12],[1,6,7,8,11,13],[1,7,8,9,10,11],[2,3,7,9,10,11],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,8,10],[2,5,6,7,9,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,6,10,11,13],[4,5,7,9,11,12],[4,5,8,9,10,13]];
G[6246]:=Group([(2,11)(3,7)(4,13)(5,8)]);
# Design 6247: autom. group order 2, simple, derived
B[6247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,7,9,11,13],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6247]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6248: autom. group order 2, simple, derived
B[6248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,8,9,10,11],[2,3,7,9,11,13],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,7,8,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,6,11,12,13],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6248]:=Group([(2,11)(3,7)(4,12)(5,8)]);
# Design 6249: autom. group order 2, simple
B[6249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,7,11,12],[1,4,6,8,10,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,6,7,12,13],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6249]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6250: autom. group order 2, simple
B[6250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,5,10,12,13],[1,4,6,7,9,12],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,7,8,9,11,13],[2,3,7,10,11,12],[2,3,8,9,11,12],[2,4,5,8,9,13],[2,4,6,7,11,13],[2,5,6,7,8,10],[2,5,7,8,12,13],[2,6,9,10,12,13],[3,4,6,8,10,11],[3,4,6,8,12,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,9,11,13],[4,5,7,10,11,12],[4,5,8,9,10,11]];
G[6250]:=Group([(1,6)(3,13)(4,10)(5,11)(7,9)(8,12)]);
# Design 6251: autom. group order 2, simple
B[6251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,7,10,11],[2,4,6,8,10,12],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,10,11,13],[3,4,6,7,9,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[4,5,7,8,9,11],[4,5,9,10,12,13]];
G[6251]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6252: autom. group order 2, simple
B[6252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,7,9,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,6,9,11,12],[2,4,5,10,12,13],[2,4,8,9,10,12],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,7,8,10,11,12],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,8,9,10,13],[4,5,6,7,8,9],[4,5,6,7,10,11]];
G[6252]:=Group([(2,6)(3,13)(4,8)(5,12)(7,10)]);
# Design 6253: autom. group order 2, simple, derived
B[6253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,11,12,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,7,8,10,11,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6253]:=Group([(1,10)(2,12)(3,7)(8,9)]);
# Design 6254: autom. group order 2, simple
B[6254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,8,10,12],[1,3,9,11,12,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,6,10,11,13],[2,4,5,8,11,12],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,9,12,13],[2,7,8,10,11,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[6254]:=Group([(1,13)(2,8)(3,9)(7,10)]);
# Design 6255: autom. group order 2, simple
B[6255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,8,10,12],[1,3,9,11,12,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,13],[2,3,6,10,12,13],[2,4,5,8,11,12],[2,4,8,9,10,13],[2,5,6,9,10,11],[2,5,7,9,12,13],[2,7,8,10,11,12],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,5,7,8,9,13],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[6255]:=Group([(1,13)(2,8)(3,9)(7,10)]);
# Design 6256: autom. group order 2, simple
B[6256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,7,11,13],[1,3,8,9,11,12],[1,4,5,10,11,13],[1,4,6,8,12,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,3,6,10,11,12],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,11,12,13],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,12],[3,4,7,10,12,13],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[6256]:=Group([(1,8)(3,7)(5,11)(6,13)(9,10)]);
# Design 6257: autom. group order 2, simple
B[6257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,7,11,13],[1,3,8,10,11,12],[1,4,5,10,11,13],[1,4,6,8,12,13],[1,5,7,8,9,12],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,3,6,9,11,12],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,11,12,13],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,6,7,10,12],[3,4,7,9,12,13],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[6257]:=Group([(1,8)(3,7)(5,11)(6,13)(9,10)]);
# Design 6258: autom. group order 2, simple
B[6258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,11,12,13],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,7,10,12],[2,3,6,11,12,13],[2,4,5,7,10,11],[2,4,8,10,11,13],[2,5,6,8,9,11],[2,5,9,10,12,13],[2,7,8,9,12,13],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[6258]:=Group([(1,11)(2,4)(3,10)(5,8)(6,13)(9,12)]);
# Design 6259: autom. group order 2, simple, derived
B[6259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,7,8,9,12],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,5,7,11,12],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,9,10,11,13],[2,7,8,9,10,11],[3,4,6,7,9,10],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6259]:=Group([(1,9)(3,10)(4,11)(6,13)]);
# Design 6260: autom. group order 2, simple, derived
B[6260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,7,8,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,7,8,9,11],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,10]];
G[6260]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6261: autom. group order 2, simple, derived
B[6261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,9,10,11],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[6261]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 6262: autom. group order 2, simple, derived
B[6262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,10,11],[1,5,7,8,9,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6262]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 6263: autom. group order 2, simple, derived
B[6263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,8,9,10,11],[1,4,5,7,10,13],[1,4,6,8,10,12],[1,5,7,8,12,13],[1,6,7,10,11,12],[1,6,8,9,11,13],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,7,8,9,10,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,6,9,10,11]];
G[6263]:=Group([(1,9)(3,10)(4,12)(6,13)]);
# Design 6264: autom. group order 2, simple, derived
B[6264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,5,6,8,10],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,11,13],[4,5,8,9,10,11]];
G[6264]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6265: autom. group order 2, simple
B[6265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,9,11,13],[1,3,8,10,11,12],[1,4,5,7,10,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,8,9,13],[2,4,5,6,9,12],[2,4,8,9,10,11],[2,5,7,8,10,11],[2,5,10,11,12,13],[2,6,7,9,10,13],[3,4,6,7,10,11],[3,4,7,9,11,12],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[4,5,6,8,9,11],[4,5,7,8,12,13]];
G[6265]:=Group([(1,8)(4,7)(5,13)(6,9)(10,12)]);
# Design 6266: autom. group order 2, simple
B[6266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,12],[1,3,9,10,11,13],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,6,11,13],[2,4,9,10,12,13],[2,5,7,8,9,10],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,6,7,9,12],[3,4,7,8,9,11],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[6266]:=Group([(1,9)(2,5)(3,10)(4,8)(6,7)(11,13)]);
# Design 6267: autom. group order 2, simple, derived
B[6267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,11,12],[2,3,9,10,11,13],[2,4,5,6,8,10],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,9,11,13],[4,5,7,8,10,11]];
G[6267]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6268: autom. group order 2, simple
B[6268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,11],[1,3,5,8,10,13],[1,3,10,11,12,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[1,6,7,8,11,13],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,5,8,11,13],[2,4,6,8,12,13],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,7,8,9,10,11],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,10,12],[4,5,7,9,11,13]];
G[6268]:=Group([(1,3)(4,7)(6,9)(10,13)(11,12)]);
# Design 6269: autom. group order 2, simple
B[6269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,5,9,10,12],[1,4,6,7,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,7,8,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,8,12,13],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,6,7,10,12],[3,5,6,8,10,11],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[6269]:=Group([(1,3)(4,7)(6,9)(10,12)(11,13)]);
# Design 6270: autom. group order 2, simple, derived
B[6270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,10,11,12],[1,3,8,9,11,12],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,7,8,10,11,12],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,7,9,13],[3,5,6,7,11,12],[4,5,6,8,9,11],[4,5,7,9,10,12]];
G[6270]:=Group([(2,6)(3,13)(4,10)(5,12)(7,9)(8,11)]);
# Design 6271: autom. group order 2, simple, derived
B[6271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,8,9,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,8,9,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6271]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6272: autom. group order 2, simple
B[6272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,7,8,9,12,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6272]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6273: autom. group order 2, simple
B[6273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,6,8,9,13],[1,5,7,9,11,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,8,11,12],[2,5,7,8,9,10],[2,7,8,9,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6273]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6274: autom. group order 2, simple
B[6274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,7,9,11,12],[1,4,5,8,10,12],[1,4,6,8,10,11],[1,5,7,8,9,13],[1,6,7,10,12,13],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,3,8,9,10,12],[2,4,5,7,10,13],[2,4,6,9,12,13],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,7,8,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,13],[4,5,6,7,9,12],[4,5,8,9,11,12]];
G[6274]:=Group([(1,7)(2,12)(3,6)(4,10)(8,13)]);
# Design 6275: autom. group order 2, simple
B[6275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,8,10,12],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,7,11,13],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[6275]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 6276: autom. group order 2, simple, derived
B[6276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,5,7,10,13],[1,4,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[6276]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6277: autom. group order 2, simple
B[6277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,5,7,10,13],[1,4,6,8,10,11],[1,5,7,8,11,12],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,10,11,12],[2,3,7,8,10,11],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,7,8,10,12,13],[3,4,6,7,12,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,10,11,13],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[6277]:=Group([(1,7)(2,6)(3,9)(4,12)(8,10)(11,13)]);
# Design 6278: autom. group order 2, simple
B[6278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,7,11,12],[1,4,6,8,10,11],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,7,8,9,10,11],[3,4,6,7,8,9],[3,4,7,9,12,13],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[4,5,6,7,11,13],[4,5,8,9,10,12]];
G[6278]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6279: autom. group order 2, simple
B[6279]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,5,7,11,12],[1,4,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,7,8,9],[3,4,7,9,11,13],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[4,5,6,7,12,13],[4,5,8,9,10,11]];
G[6279]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6280: autom. group order 2, simple, derived
B[6280]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,6,7,8,9],[1,5,7,9,11,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,7,8,9,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[6280]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6281: autom. group order 2, simple
B[6281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,11,12,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,7,8,9,11],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,7,10,13],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,12],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,8,9,10,11,12],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[6281]:=Group([(1,8)(2,10)(3,6)(4,12)(9,11)]);
# Design 6282: autom. group order 2, simple, derived
B[6282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,6,9,11,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,11,13],[2,3,7,8,12,13],[2,4,5,11,12,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,7,9,10,11,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,10,13],[4,5,7,8,11,12]];
G[6282]:=Group([(1,11)(2,8)(4,6)(5,10)(7,13)]);
# Design 6283: autom. group order 2, simple
B[6283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,5,9,10,13],[1,4,6,9,11,12],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,8,10,12,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,6,7,10,12],[2,7,9,10,11,12],[3,4,6,7,8,10],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,11,13],[4,5,8,9,10,11]];
G[6283]:=Group([(1,12)(2,9)(5,13)(6,7)(8,10)]);
# Design 6284: autom. group order 2, simple
B[6284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,7,10,11,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,11,12,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,6,7,11,12],[2,7,8,9,10,12],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,7,8,13],[4,5,8,9,10,11]];
G[6284]:=Group([(1,12)(2,9)(5,13)(6,7)(10,11)]);
# Design 6285: autom. group order 2, simple
B[6285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,9,12,13],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,9,10,11,13],[2,5,6,7,8,10],[2,5,6,9,10,12],[2,7,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6285]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6286: autom. group order 2, simple
B[6286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,7,10,11,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,10,12],[2,7,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6286]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6287: autom. group order 2, simple, derived
B[6287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,10,11,12],[1,3,8,9,11,12],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,7,11,12],[2,5,6,8,9,12],[2,7,8,10,11,12],[3,4,6,7,10,11],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,7,8,10,13],[4,5,6,8,9,11],[4,5,7,9,10,12]];
G[6287]:=Group([(2,6)(3,13)(4,10)(5,12)(7,9)(8,11)]);
# Design 6288: autom. group order 2, simple, derived
B[6288]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,7,9,11,13]];
G[6288]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 6289: autom. group order 2, simple
B[6289]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,7,11,13],[1,3,8,9,11,12],[1,4,5,10,11,13],[1,4,6,8,12,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,7,9,12],[2,5,6,11,12,13],[2,7,8,9,10,11],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,7,8,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[6289]:=Group([(1,8)(3,7)(5,11)(6,13)(9,10)]);
# Design 6290: autom. group order 2, simple
B[6290]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,9,12,13],[1,3,7,10,11,13],[1,4,5,7,8,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,11,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,9,10,13],[2,7,8,9,12,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6290]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 6291: autom. group order 2, simple, derived
B[6291]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,8,9,10,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[6291]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 6292: autom. group order 2, simple
B[6292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,10,11],[1,4,6,8,9,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,6,8,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,8,9,11,12]];
G[6292]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 6293: autom. group order 2, simple, derived
B[6293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,5,7,8,9,12],[4,5,6,8,11,12],[4,5,7,9,11,13]];
G[6293]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 6294: autom. group order 2, simple, derived
B[6294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,8,13],[1,4,6,8,9,12],[1,5,7,9,10,11],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[6294]:=Group([(1,12)(3,13)(4,9)]);
# Design 6295: autom. group order 2, simple, derived
B[6295]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,8,13],[1,4,6,8,9,12],[1,5,7,9,10,11],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,8,11,13],[4,5,7,10,11,12]];
G[6295]:=Group([(1,12)(3,13)(4,9)]);
# Design 6296: autom. group order 2, simple
B[6296]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,9,11,13],[1,4,5,10,11,12],[1,4,6,10,12,13],[1,5,7,8,9,10],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,7,8,10],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,6,9,12,13],[4,5,7,8,9,12],[4,5,7,10,11,13]];
G[6296]:=Group([(1,9)(2,11)(5,13)(6,7)(8,10)]);
# Design 6297: autom. group order 2, simple
B[6297]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,7,10,11],[1,4,6,8,9,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,6,8,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,5,6,7,9,12],[4,5,7,10,12,13],[4,5,8,9,11,12]];
G[6297]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 6298: autom. group order 2, simple
B[6298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,7,11,12,13],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,6,9,11,12],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6298]:=Group([(1,12)(2,10)(3,7)(8,9)]);
# Design 6299: autom. group order 2, simple
B[6299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,10,13],[1,3,7,11,12,13],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,11,12],[2,3,6,9,12,13],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,5,7,8,10,12],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6299]:=Group([(1,12)(2,10)(3,7)(8,9)]);
# Design 6300: autom. group order 2, simple
B[6300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,8,10,11,13],[1,4,5,7,10,13],[1,4,7,9,12,13],[1,5,6,9,10,12],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,6,9,10,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[6300]:=Group([(1,10)(2,11)(5,13)(6,12)(8,9)]);
# Design 6301: autom. group order 2, simple
B[6301]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,7,9,13],[1,3,8,11,12,13],[1,4,5,10,11,12],[1,4,9,10,11,13],[1,5,6,8,10,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,12],[2,3,6,10,12,13],[2,4,5,8,9,13],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,5,7,9,11,12],[3,5,8,10,11,13],[4,5,6,7,11,13],[4,5,6,8,9,12]];
G[6301]:=Group([(1,3)(2,5)(4,9)(6,10)(8,13)]);
# Design 6302: autom. group order 2, simple
B[6302]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,9,10,11],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,7,8,9,11],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[6302]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 6303: autom. group order 2, simple
B[6303]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,7,8,9,11],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6303]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6304: autom. group order 2, simple
B[6304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,8,10,11,12],[1,5,6,8,9,11],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,10,11,12],[2,3,7,8,9,13],[2,4,5,6,8,10],[2,4,9,10,12,13],[2,5,7,10,11,13],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,6,8,12,13],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,9,10,12],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[6304]:=Group([(1,7)(2,10)(3,13)(4,6)(9,11)]);
# Design 6305: autom. group order 2, simple
B[6305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,6,7,9,11,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,6,9,12],[2,4,8,9,11,13],[2,5,7,8,9,13],[2,5,10,11,12,13],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[6305]:=Group([(1,7)(2,9)(3,13)(4,6)(8,10)]);
# Design 6306: autom. group order 2, simple
B[6306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,7,12,13],[1,3,8,9,11,13],[1,4,5,10,12,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,6,7,9,11,12],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,5,6,9,11],[2,4,8,9,12,13],[2,5,7,8,9,13],[2,5,10,11,12,13],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[6306]:=Group([(1,7)(2,9)(3,13)(4,6)(8,10)]);
# Design 6307: autom. group order 2, simple
B[6307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,8,9,11],[1,4,7,9,12,13],[1,5,6,8,10,12],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,7,12,13],[2,3,7,8,9,10],[2,4,5,6,10,13],[2,4,8,10,11,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,8,9,11,12],[3,4,6,8,9,12],[3,4,6,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,7,8,11,13],[4,5,6,7,8,13],[4,5,7,9,10,12]];
G[6307]:=Group([(1,4)(2,7)(3,12)(5,9)(6,13)(8,11)]);
# Design 6308: autom. group order 2, simple
B[6308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,9,11,13],[1,4,5,8,12,13],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,8,12],[2,3,7,9,10,13],[2,4,5,6,11,13],[2,4,8,9,10,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[2,6,7,8,11,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6308]:=Group([(2,12)(3,13)(5,7)(6,10)]);
# Design 6309: autom. group order 2, simple
B[6309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,8,9,10,13],[1,5,6,7,9,12],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,6,8,10,11],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,8,9,10,11],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6309]:=Group([(1,10)(2,6)(3,11)(5,8)(9,12)]);
# Design 6310: autom. group order 2, simple
B[6310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,8,9,10,13],[1,5,6,7,9,12],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,9,11,12],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,8,9,10,11],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6310]:=Group([(1,10)(2,6)(3,11)(5,8)(9,12)]);
# Design 6311: autom. group order 2, simple
B[6311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,11,12,13],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,7,10,11,12],[1,5,6,7,9,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,7,8,9,11,13],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[6311]:=Group([(1,11)(2,6)(4,10)(5,8)(9,13)]);
# Design 6312: autom. group order 2, simple
B[6312]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,7,10,11,13],[1,5,6,7,9,12],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,5,6,11,12,13],[2,5,7,8,10,13],[2,7,8,9,11,12],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,8,9,10,11]];
G[6312]:=Group([(1,11)(2,6)(4,10)(5,8)(9,12)]);
# Design 6313: autom. group order 2, simple
B[6313]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,6,9,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,9],[2,4,6,9,11,13],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,7,8,9,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[6313]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6314: autom. group order 2, simple
B[6314]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,10,12],[1,3,7,11,12,13],[1,4,5,9,11,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,5,7,8,12,13],[2,8,9,10,11,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,7,8,11],[4,5,7,9,10,13]];
G[6314]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)]);
# Design 6315: autom. group order 2, simple
B[6315]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,10,11,13],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,6,7,8,9,11],[1,6,9,10,11,12],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,5,7,9,11],[2,4,6,10,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,7,8,9,10,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,8,9,10],[3,5,7,11,12,13],[4,5,6,7,9,13],[4,5,8,9,10,12]];
G[6315]:=Group([(1,10)(2,9)(3,5)(4,8)(7,12)(11,13)]);
# Design 6316: autom. group order 2, simple
B[6316]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,9,11,13],[1,4,5,10,12,13],[1,4,8,9,10,12],[1,5,6,9,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,9],[2,4,6,9,11,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,8,9,10,11,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[6316]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6317: autom. group order 2, simple
B[6317]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,9,11,13],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,6,9,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,7,10,12,13],[2,4,5,7,9,13],[2,4,6,8,9,11],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,8,9,10,11,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[6317]:=Group([(1,10)(2,3)(4,12)(5,9)(8,13)]);
# Design 6318: autom. group order 2, simple
B[6318]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,5,7,10,11],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,8,12],[2,3,7,10,11,13],[2,4,5,8,9,13],[2,4,6,9,10,12],[2,5,6,11,12,13],[2,5,8,10,11,12],[2,7,8,9,10,13],[3,4,6,8,10,11],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,7,9,10,12],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[6318]:=Group([(1,12)(2,5)(3,11)(4,8)(6,10)(9,13)]);
# Design 6319: autom. group order 2, simple
B[6319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[6319]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6320: autom. group order 2, simple, derived
B[6320]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,8,9,10,11],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,6,7,10,11,12],[1,6,8,9,11,13],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,8,11,12],[2,4,6,7,10,11],[2,5,6,8,11,13],[2,5,9,10,12,13],[2,7,8,9,10,12],[3,4,6,8,9,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,9,10,11],[4,5,7,8,9,13]];
G[6320]:=Group([(1,9)(3,10)(4,12)(6,13)]);
# Design 6321: autom. group order 2, simple, derived
B[6321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,7,8,11,13],[1,4,5,8,9,13],[1,4,8,10,11,12],[1,5,6,7,11,12],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,7,8,9,12,13],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,10,11,12,13],[4,5,6,7,9,11],[4,5,7,8,10,11]];
G[6321]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 6322: autom. group order 2, simple
B[6322]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,13],[1,3,7,8,12,13],[1,4,5,8,10,11],[1,4,10,11,12,13],[1,5,6,7,9,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,3,7,9,11,12],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,8,9,10,13],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[6322]:=Group([(1,10)(2,9)(4,8)(6,13)(7,12)]);
# Design 6323: autom. group order 2, simple
B[6323]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,5,8,10,11],[1,4,7,10,12,13],[1,5,6,7,9,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,8,13],[2,3,7,9,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,8,9,10,13],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[6323]:=Group([(1,10)(2,9)(4,8)(6,13)(7,12)]);
# Design 6324: autom. group order 2, simple, derived
B[6324]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,5,9,10,13],[1,4,7,8,10,11],[1,5,6,7,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,7,9,10,12,13],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[6324]:=Group([(1,12)(3,13)(5,7)]);
# Design 6325: autom. group order 2, simple, derived
B[6325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,5,9,10,13],[1,4,7,8,10,11],[1,5,6,7,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,7,8,9,11],[2,7,9,10,12,13],[3,4,6,7,9,11],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,9,11,13],[4,5,8,10,11,12]];
G[6325]:=Group([(1,12)(3,13)(5,7)]);
# Design 6326: autom. group order 2, simple
B[6326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,10,11,13],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,7,8,9,11],[2,4,5,7,11,13],[2,4,6,7,10,13],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,8,10,11,12,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[6326]:=Group([(1,10)(2,11)(3,5)(4,8)(9,13)]);
# Design 6327: autom. group order 2, simple
B[6327]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,9,11,13],[1,3,7,10,11,12],[1,4,5,8,10,12],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,6,7,8,11,13],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,7,8,10,11],[2,4,5,7,11,13],[2,4,6,7,9,10],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,8,9,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,5,7,10,12,13],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[6327]:=Group([(1,9)(2,11)(3,5)(4,8)(10,13)]);
# Design 6328: autom. group order 2, simple
B[6328]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,5,9,11,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,6,7,9,10,12],[1,6,7,9,11,13],[2,3,8,9,12,13],[2,3,9,10,11,12],[2,4,5,6,10,13],[2,4,6,9,12,13],[2,5,7,8,11,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,8,11,12],[3,4,7,9,10,13],[3,5,6,7,8,9],[3,5,6,11,12,13],[4,5,7,8,9,12],[4,5,8,9,10,11]];
G[6328]:=Group([(1,9)(4,12)(5,10)(6,11)(7,13)]);
# Design 6329: autom. group order 2, simple
B[6329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,12],[1,3,7,9,11,13],[1,4,5,8,10,13],[1,4,6,8,10,11],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,6,8,11,13],[2,3,6,10,12,13],[2,4,5,9,12,13],[2,4,7,10,11,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,7,8,9,10],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,8,9,10,12],[3,5,7,10,11,12],[3,5,8,9,10,11],[4,5,6,7,9,11],[4,5,6,7,10,13]];
G[6329]:=Group([(1,10)(2,9)(4,8)(6,11)(7,12)]);
# Design 6330: autom. group order 2, simple
B[6330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,5,6,11,13],[1,3,7,9,12,13],[1,4,5,8,12,13],[1,4,6,7,9,11],[1,5,8,10,11,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,5,10,11,12],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,12,13],[3,5,7,8,11,12],[3,5,7,9,10,11],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6330]:=Group([(2,8)(3,13)(4,10)(6,11)(9,12)]);
# Design 6331: autom. group order 2, simple
B[6331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,7,9,11,12],[1,4,5,8,10,13],[1,4,6,8,10,11],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,9,10,12,13],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,10,11,12,13],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,8,9,10,12],[3,5,7,10,11,13],[3,5,8,9,10,11],[4,5,6,7,9,11],[4,5,6,7,10,12]];
G[6331]:=Group([(1,10)(2,9)(4,8)(6,11)(7,12)]);
# Design 6332: autom. group order 2, simple
B[6332]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,11,13],[1,3,7,9,10,12],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,3,6,11,12,13],[2,4,5,7,10,13],[2,4,9,10,11,13],[2,5,6,7,8,9],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,7,8,12,13],[3,4,8,9,10,11],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6332]:=Group([(1,7)(2,11)(3,10)(4,6)(9,12)]);
# Design 6333: autom. group order 2, simple
B[6333]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,11,13],[1,3,8,9,10,13],[1,4,5,7,8,12],[1,4,6,9,11,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,7,10,11],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,9,11],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,7,11,12,13],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[6333]:=Group([(1,13)(2,7)(3,9)(4,5)(8,10)]);
# Design 6334: autom. group order 2, simple
B[6334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,13],[1,3,7,9,10,13],[1,4,5,9,12,13],[1,4,6,8,9,11],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,12,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,7,10,11,13]];
G[6334]:=Group([(1,3)(2,5)(4,6)(7,13)(8,11)(9,10)]);
# Design 6335: autom. group order 2, simple
B[6335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,12,13],[1,3,7,9,10,13],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,7,8,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,9,11],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,8,9,10,12],[2,6,7,10,12,13],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,7,8,9,13]];
G[6335]:=Group([(1,3)(2,5)(4,6)(7,13)(8,12)(9,10)]);
# Design 6336: autom. group order 2, simple
B[6336]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,6,11,12],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,10],[4,5,7,10,11,12]];
G[6336]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)]);
# Design 6337: autom. group order 2, simple
B[6337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,11,13],[1,3,7,9,10,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,7,11,12,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[6337]:=Group([(1,3)(2,5)(4,6)(7,13)(8,11)(9,10)]);
# Design 6338: autom. group order 2, simple
B[6338]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,6,11,12],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,8,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,9,10,11,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,5,6,7,8,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,4,8,9,11,12],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,10],[4,5,7,10,11,12]];
G[6338]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)]);
# Design 6339: autom. group order 2, simple
B[6339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,9,12,13],[1,3,5,6,12,13],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,11,12],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,8,10,11,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,5,6,7,8,10],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,13],[4,5,7,8,10,13]];
G[6339]:=Group([(2,9)(3,11)(4,10)(5,7)(8,13)]);
# Design 6340: autom. group order 2, simple
B[6340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,12],[1,3,8,9,10,11],[1,4,5,7,9,13],[1,4,6,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,10,13],[3,4,8,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[6340]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)(9,10)]);
# Design 6341: autom. group order 2, simple
B[6341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,12],[1,3,8,9,10,11],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,5,8,9,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,6,8,9,11],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,8,10,11],[4,5,7,10,11,12]];
G[6341]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)(9,10)]);
# Design 6342: autom. group order 2, simple
B[6342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,11,12],[1,3,8,9,10,12],[1,4,5,7,9,13],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,9,11,12],[3,4,6,7,9,13],[3,4,8,9,10,11],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6342]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)(9,10)]);
# Design 6343: autom. group order 2, simple
B[6343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,11,12],[1,3,8,9,10,12],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,5,9,12,13],[2,4,6,8,10,12],[2,5,6,8,10,13],[2,5,7,9,10,11],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,4,9,10,11,12],[3,5,6,7,8,11],[3,5,7,10,12,13],[4,5,6,8,9,12],[4,5,7,8,9,11]];
G[6343]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)(9,10)]);
# Design 6344: autom. group order 2, simple
B[6344]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,12],[1,3,8,9,10,11],[1,4,5,7,9,13],[1,4,6,10,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,6,8,9,13],[3,4,7,10,12,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[6344]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)(9,10)]);
# Design 6345: autom. group order 2, simple
B[6345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,12],[1,3,8,9,11,13],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,5,8,9,10,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,9,10,11],[2,4,5,8,9,13],[2,4,6,8,9,12],[2,5,6,9,11,13],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[6345]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)]);
# Design 6346: autom. group order 2, simple
B[6346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,10,11],[1,3,5,6,11,12],[1,3,8,9,12,13],[1,4,5,7,10,13],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,9,12,13],[2,4,6,9,11,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,7,9,10,12],[4,5,6,7,8,9],[4,5,8,10,11,12]];
G[6346]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)]);
# Design 6347: autom. group order 2, simple, derived
B[6347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,13],[1,3,8,9,10,13],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,5,8,9,11,12],[1,6,7,9,10,12],[1,6,7,10,11,13],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,5,10,12,13],[2,4,6,9,11,13],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,12,13],[4,5,6,7,8,10],[4,5,8,10,11,13]];
G[6347]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)(9,10)]);
# Design 6348: autom. group order 2, simple
B[6348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,6,11,12],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,5,7,8,9,13],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,8,11,13],[2,4,6,9,10,12],[2,5,6,7,12,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,8,9,10],[4,5,8,9,11,12]];
G[6348]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)]);
# Design 6349: autom. group order 2, simple
B[6349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,6,11,12],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,5,6,7,8,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,8,9,10],[4,5,8,9,11,12]];
G[6349]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)]);
# Design 6350: autom. group order 2, simple
B[6350]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,7,8,9,10],[1,6,7,9,10,12],[1,6,7,9,11,13],[2,3,6,8,10,12],[2,3,9,10,11,13],[2,4,5,7,9,13],[2,4,6,9,12,13],[2,5,6,8,9,11],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,12,13],[4,5,6,8,9,12],[4,5,8,10,11,13]];
G[6350]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6351: autom. group order 2, simple
B[6351]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,6,11,12],[1,3,8,9,12,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,7,8,13],[3,4,7,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,8,9,10],[4,5,8,9,11,12]];
G[6351]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)]);
# Design 6352: autom. group order 2, simple
B[6352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,8,11],[1,3,9,10,12,13],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,5,7,9,13],[2,4,6,8,10,12],[2,5,6,10,11,12],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,8,10,12],[4,5,6,8,9,13],[4,5,8,9,11,12]];
G[6352]:=Group([(1,3)(2,5)(4,6)(7,11)(9,10)(12,13)]);
# Design 6353: autom. group order 2, simple
B[6353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,11],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,12],[2,4,6,7,8,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[6353]:=Group([(1,3)(2,5)(4,6)(8,11)(12,13)]);
# Design 6354: autom. group order 2, simple
B[6354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,11],[1,3,7,9,12,13],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,6,7,8,12],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,6,7,11,13],[4,5,7,9,10,12]];
G[6354]:=Group([(1,3)(2,5)(4,6)(8,11)(12,13)]);
# Design 6355: autom. group order 2, simple
B[6355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,11],[1,3,7,10,12,13],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,7,8,13],[2,5,6,10,11,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[6355]:=Group([(1,3)(2,5)(4,6)(8,11)(12,13)]);
# Design 6356: autom. group order 2, simple
B[6356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,7,13],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,6,8,9,11],[1,5,8,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,7,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[6356]:=Group([(1,3)(2,5)(4,6)(8,13)(11,12)]);
# Design 6357: autom. group order 2, simple
B[6357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,7,13],[1,3,7,10,11,12],[1,4,5,11,12,13],[1,4,6,8,9,10],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,7,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,9,10,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[6357]:=Group([(1,3)(2,5)(4,6)(8,13)(11,12)]);
# Design 6358: autom. group order 2, simple
B[6358]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,13],[1,3,7,10,11,12],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,6,8,9,11],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,7,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[6358]:=Group([(1,3)(2,5)(4,6)(8,13)(11,12)]);
# Design 6359: autom. group order 2, simple
B[6359]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,13],[1,3,7,10,11,12],[1,4,5,11,12,13],[1,4,6,8,9,10],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,8,11,12],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,6,7,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,9,10,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[6359]:=Group([(1,3)(2,5)(4,6)(8,13)(11,12)]);
# Design 6360: autom. group order 2, simple
B[6360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,7,13],[1,3,7,10,11,12],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,11,13],[4,5,7,9,10,11]];
G[6360]:=Group([(1,3)(2,5)(4,6)(8,13)(11,12)]);
# Design 6361: autom. group order 2, simple
B[6361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,13],[1,3,7,10,11,12],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,11,13],[4,5,7,9,10,11]];
G[6361]:=Group([(1,3)(2,5)(4,6)(8,13)(11,12)]);
# Design 6362: autom. group order 2, simple, derived
B[6362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,6,7,13],[1,3,9,10,11,12],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,3,7,8,11,13],[2,4,5,8,9,12],[2,4,6,7,10,11],[2,5,6,10,11,13],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,8,10,12,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[6362]:=Group([(1,3)(2,5)(4,6)(8,13)(9,10)(11,12)]);
# Design 6363: autom. group order 2, simple
B[6363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,7,13],[1,3,9,10,11,12],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,5,7,8,11,12],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,5,9,12,13],[2,4,6,7,10,12],[2,5,6,8,10,11],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,8,10,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6363]:=Group([(1,3)(2,5)(4,6)(8,13)(9,10)(11,12)]);
# Design 6364: autom. group order 2, simple
B[6364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,5,8,9,13],[2,4,6,8,12,13],[2,5,6,7,9,11],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,6,7,8,10],[3,4,8,9,10,11],[3,4,9,11,12,13],[3,5,6,8,9,12],[3,5,7,8,11,13],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[6364]:=Group([(1,3)(2,5)(4,6)(7,13)(8,11)]);
# Design 6365: autom. group order 2, simple
B[6365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,12,13],[1,3,7,10,11,13],[1,4,5,8,12,13],[1,4,6,7,9,11],[1,5,7,9,10,12],[1,6,8,9,10,13],[1,6,8,10,11,12],[2,3,6,7,8,12],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,7,9,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,11,12],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,6,7,8,10],[4,5,7,8,9,13]];
G[6365]:=Group([(1,3)(2,5)(4,6)(7,13)(8,12)]);
# Design 6366: autom. group order 2, simple
B[6366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,12,13],[1,3,7,9,10,13],[1,4,5,8,11,13],[1,4,6,7,10,12],[1,5,7,8,10,12],[1,6,8,9,11,12],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,10,12],[2,6,7,8,10,13],[3,4,6,8,9,13],[3,4,7,9,10,11],[3,4,8,10,11,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,8,9],[4,5,7,9,12,13]];
G[6366]:=Group([(1,3)(2,5)(4,6)(7,13)(8,12)(9,10)]);
# Design 6367: autom. group order 2, simple
B[6367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,5,6,11,13],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,8,10,11],[2,4,6,11,12,13],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[6367]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6368: autom. group order 2, simple
B[6368]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,6,11,12],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,7,11,13],[1,5,7,9,12,13],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,8,12,13],[3,4,7,8,9,11],[3,4,9,10,11,13],[3,5,6,7,8,9],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,5,7,10,11,12]];
G[6368]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)]);
# Design 6369: autom. group order 2, simple
B[6369]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,11,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,7,9,13],[1,5,7,8,9,10],[1,6,8,9,10,12],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,8,10,11],[2,4,6,7,10,12],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,6,8,9,11],[3,4,7,8,10,13],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,10,11,12],[4,5,7,9,11,13]];
G[6369]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6370: autom. group order 2, simple
B[6370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,11,12],[1,3,5,6,11,13],[1,3,7,9,10,11],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,5,7,8,10,13],[1,6,8,9,12,13],[1,6,9,10,11,12],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,5,6,7,9,12],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,7,11,12,13],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[6370]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)(9,10)]);
# Design 6371: autom. group order 2, simple
B[6371]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,11,13],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,6,7,8,9],[1,5,8,9,11,12],[1,6,7,10,12,13],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,7,10,13],[2,4,6,11,12,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,8,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[6371]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6372: autom. group order 2, simple, derived
B[6372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,12,13],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,10],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,9,11],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,5,8,9,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[6372]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 6373: autom. group order 2, simple
B[6373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,6,11,12],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,8,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,9,10,11,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,7,11,13],[2,4,6,9,10,12],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,5,7,10,11,12]];
G[6373]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)]);
# Design 6374: autom. group order 2, simple
B[6374]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,6,8,11,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,7,9,10],[2,5,6,8,11,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,6,7,12,13],[3,4,8,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,5,7,9,11,13],[4,5,6,9,10,11],[4,5,7,10,11,12]];
G[6374]:=Group([(1,3)(2,5)(4,6)(7,11)(8,12)]);
# Design 6375: autom. group order 2, simple
B[6375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,11,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,5,7,8,9,10],[1,6,7,8,10,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,7,10,13],[2,4,6,7,10,12],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,10,11,12],[4,5,7,9,11,13]];
G[6375]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6376: autom. group order 2, simple
B[6376]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,12,13],[1,3,7,10,11,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,7,9,10,12],[1,6,8,11,12,13],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,8,9,10],[3,4,6,7,9,12],[3,4,7,8,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,9,10,12,13]];
G[6376]:=Group([(1,3)(2,5)(4,6)(7,13)(8,12)]);
# Design 6377: autom. group order 2, simple
B[6377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,6,8,11,12,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,9,11,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,7,8,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,5,9,10,12,13]];
G[6377]:=Group([(1,3)(2,5)(4,6)(7,13)(8,12)]);
# Design 6378: autom. group order 2, simple
B[6378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,8,13],[1,3,7,9,10,12],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,8,9,11],[1,6,7,9,12,13],[1,6,8,10,12,13],[2,3,6,10,11,12],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6378]:=Group([(1,9)(2,5)(3,10)(4,8)(6,13)(7,12)]);
# Design 6379: autom. group order 2, simple
B[6379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,11,13],[1,3,8,9,10,13],[1,4,5,7,8,12],[1,4,6,7,10,13],[1,5,8,11,12,13],[1,6,7,9,11,12],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,8,10,12],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,8,10,11,13]];
G[6379]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)(9,10)]);
# Design 6380: autom. group order 2, simple
B[6380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,6,11,13],[1,3,8,10,12,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,7,8,12,13],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,7,8,11],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,6,10,12,13],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,8,9,11,13]];
G[6380]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6381: autom. group order 2, simple, derived
B[6381]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,11,12],[1,3,8,9,10,11],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,6,7,12,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,8,9,12,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[6381]:=Group([(1,3)(2,5)(4,6)(7,12)(8,11)(9,10)]);
# Design 6382: autom. group order 2, simple
B[6382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,7,11,12],[1,4,6,9,10,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,9,12,13],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6382]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6383: autom. group order 2, simple
B[6383]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,7,9,11],[1,4,6,10,12,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,8,9,10,12]];
G[6383]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6384: autom. group order 2, simple
B[6384]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,7,11,12],[1,4,6,9,10,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6384]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6385: autom. group order 2, simple
B[6385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,7,10,11],[1,4,6,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,9,11],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,8,9,10,12]];
G[6385]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6386: autom. group order 2, simple
B[6386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,7,11,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,6,8,9,12],[4,5,9,10,11,13]];
G[6386]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6387: autom. group order 2, simple
B[6387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,7,10,12],[1,4,6,8,11,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,9,10,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,6,7,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,9,11,12,13]];
G[6387]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6388: autom. group order 2, simple
B[6388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,11,13],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,8,11,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,9,10,13],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,9,10],[4,5,10,11,12,13]];
G[6388]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6389: autom. group order 2, simple
B[6389]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,8,10,11],[1,6,7,9,10,13],[1,6,8,9,12,13],[2,3,6,7,9,12],[2,3,8,10,12,13],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,8,9,10,12]];
G[6389]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6390: autom. group order 2, simple
B[6390]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,7,9,10],[1,5,7,8,9,12],[1,6,7,9,12,13],[1,6,8,10,11,13],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,8,9,10,11]];
G[6390]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6391: autom. group order 2, simple
B[6391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,10,11,13],[1,4,6,7,9,12],[1,5,7,8,9,11],[1,6,7,9,10,13],[1,6,8,10,12,13],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,8,9,10,12]];
G[6391]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6392: autom. group order 2, simple
B[6392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,8,9,10,13],[1,4,5,8,10,11],[1,4,6,7,9,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,10,11,12,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,13],[4,5,7,9,10,13]];
G[6392]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 6393: autom. group order 2, simple
B[6393]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,8,9,11,13],[1,4,5,10,11,13],[1,4,6,7,8,10],[1,5,7,8,12,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,6,8,10,11],[2,3,7,8,12,13],[2,4,5,8,9,12],[2,4,6,11,12,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,6,10,12,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[6393]:=Group([(1,3)(2,5)(4,6)(7,12)(8,13)]);
# Design 6394: autom. group order 2, simple
B[6394]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,11],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,11,13],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,5,9,11,13],[2,4,6,7,8,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,7,11,12,13],[4,5,6,8,11,12],[4,5,8,9,10,13]];
G[6394]:=Group([(1,3)(2,5)(4,6)(7,11)(12,13)]);
# Design 6395: autom. group order 2, simple
B[6395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,11],[1,3,8,10,12,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,10,11,13],[2,4,6,7,8,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,8,9,10,12],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,7,11,12,13],[4,5,6,8,11,12],[4,5,8,9,10,13]];
G[6395]:=Group([(1,3)(2,5)(4,6)(7,11)(12,13)]);
# Design 6396: autom. group order 2, simple
B[6396]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,6,7,8,10],[1,5,8,10,12,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,9,12,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,6,10,11,13],[3,4,7,11,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,6,8,9,12],[4,5,7,9,10,13]];
G[6396]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6397: autom. group order 2, simple
B[6397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,7,9,10,13],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,9,10,13],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,6,11,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,7,9,12,13]];
G[6397]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6398: autom. group order 2, simple
B[6398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,11,13],[1,3,8,10,12,13],[1,4,5,10,11,12],[1,4,6,7,8,9],[1,5,8,9,12,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,10,12,13],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,6,8,9,10,11],[3,4,6,9,11,13],[3,4,7,11,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[6398]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6399: autom. group order 2, simple
B[6399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,11,13],[1,3,8,10,12,13],[1,4,5,10,11,12],[1,4,6,7,8,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,9,10,13],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,6,11,12,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,9,10],[4,5,7,10,12,13]];
G[6399]:=Group([(1,3)(2,5)(4,6)(7,11)(8,13)]);
# Design 6400: autom. group order 2, simple
B[6400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,11],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,8,11,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,8,9,10,12]];
G[6400]:=Group([(1,3)(2,5)(4,6)(7,11)(12,13)]);
# Design 6401: autom. group order 2, simple
B[6401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,6,8,11],[1,3,8,10,12,13],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,5,6,10,11,12],[2,5,7,8,9,11],[2,6,8,9,10,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,8,9,10,12]];
G[6401]:=Group([(1,3)(2,5)(4,6)(7,11)(12,13)]);
# Design 6402: autom. group order 2, simple
B[6402]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,5,7,8,10],[2,4,6,8,12,13],[2,5,6,10,11,13],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,6,7,9,11],[3,4,7,10,11,13],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[6402]:=Group([(1,3)(2,5)(4,6)(7,13)(8,11)]);
# Design 6403: autom. group order 2, simple
B[6403]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,7,10,12,13],[2,3,6,7,11,12],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,8,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,4,8,9,11,13],[3,5,6,9,11,12],[3,5,7,9,12,13],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6403]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6404: autom. group order 2, simple
B[6404]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,7,8,9,11],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,8,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6404]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6405: autom. group order 2, simple
B[6405]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,8,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,7,10,12],[2,4,6,8,12,13],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,11],[4,5,8,9,10,11]];
G[6405]:=Group([(1,3)(2,5)(4,6)(7,13)(11,12)]);
# Design 6406: autom. group order 2, simple
B[6406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,12],[1,3,5,6,11,13],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,9,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,9,10,11,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,6,7,10,12,13],[3,4,6,7,9,12],[3,4,6,11,12,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,5,7,9,10,12],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[6406]:=Group([(1,10)(2,11)(3,8)(5,6)(7,9)(12,13)]);
# Design 6407: autom. group order 2, simple
B[6407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,9,12,13],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,4,7,9,10,11],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[6407]:=Group([(1,10)(2,11)(3,7)(5,6)(8,9)(12,13)]);
# Design 6408: autom. group order 2, simple, derived
B[6408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,8,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,9,10,12,13],[3,4,6,8,9,12],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,7,9,11,12],[3,5,8,9,10,13],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[6408]:=Group([(1,10)(2,11)(3,7)(5,6)(8,9)(12,13)]);
# Design 6409: autom. group order 2, simple
B[6409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,10,11,12],[1,4,5,7,10,12],[1,4,8,10,12,13],[1,5,6,7,8,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,3,6,10,12,13],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,7,8,9,10],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,8,9,12],[4,5,6,9,10,11]];
G[6409]:=Group([(2,12)(3,10)(5,8)(6,13)(9,11)]);
# Design 6410: autom. group order 2, simple
B[6410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,11,13],[1,3,8,10,12,13],[1,4,5,10,11,12],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,9,12,13],[2,3,7,9,11,12],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,7,9,10,13],[2,6,8,10,11,12],[3,4,6,7,8,13],[3,4,6,9,10,11],[3,4,8,9,10,12],[3,5,7,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,12],[4,5,8,9,11,13]];
G[6410]:=Group([(1,11)(2,7)(4,12)(6,13)(8,9)]);
# Design 6411: autom. group order 2, simple
B[6411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,12,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,5,6,7,8,9],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,5,7,8,9,11],[3,5,9,10,11,12],[4,5,6,9,12,13],[4,5,7,8,10,11]];
G[6411]:=Group([(1,12)(2,5)(3,13)(6,8)(7,9)(10,11)]);
# Design 6412: autom. group order 2, simple
B[6412]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,5,6,11,13],[1,3,7,8,10,12],[1,4,5,10,11,12],[1,4,7,10,11,13],[1,5,6,7,12,13],[1,6,8,9,10,12],[1,6,8,9,11,13],[2,3,6,8,10,11],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,9,12],[2,5,8,10,11,13],[2,6,7,10,11,12],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,9,10,12,13],[3,5,7,9,10,13],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[6412]:=Group([(2,13)(3,6)(4,11)(7,9)(10,12)]);
# Design 6413: autom. group order 2, simple
B[6413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,9,11],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,8,9,11,12],[3,5,8,10,11,13],[4,5,6,7,11,12],[4,5,7,8,9,10]];
G[6413]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6414: autom. group order 2, simple
B[6414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,9,11],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,7,11,12,13],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[6414]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6415: autom. group order 2, simple
B[6415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,6,11,13],[1,3,7,8,9,13],[1,4,5,10,12,13],[1,4,8,9,11,13],[1,5,6,8,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,9,10,11,13],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,8,10,11,12],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[6415]:=Group([(1,10)(3,9)(4,13)(6,8)(7,11)]);
# Design 6416: autom. group order 2, simple
B[6416]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,6,12,13],[1,3,7,9,10,12],[1,4,5,10,11,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,9,11],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,9,10,12,13],[3,4,6,7,10,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6416]:=Group([(1,10)(3,9)(4,13)(6,8)(7,12)]);
# Design 6417: autom. group order 2, simple, derived
B[6417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,12],[1,3,5,6,11,13],[1,3,7,9,10,13],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,9,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,9,10,11,13],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,8,9,12,13],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,7,10,12],[4,5,7,8,9,10]];
G[6417]:=Group([(1,9)(3,10)(4,11)(6,8)(7,13)]);
# Design 6418: autom. group order 2, simple, derived
B[6418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,12,13],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,8,10,12,13],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,8,9,11,13],[3,5,7,9,11,12],[3,5,7,10,11,13],[4,5,6,8,11,12],[4,5,7,8,9,10]];
G[6418]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6419: autom. group order 2, simple
B[6419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,8,9,10,11],[1,4,5,7,10,12],[1,4,8,11,12,13],[1,5,6,7,8,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,7,8,11],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,5,6,10,11,12],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,12,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6419]:=Group([(1,7)(2,11)(3,9)(4,6)(8,12)(10,13)]);
# Design 6420: autom. group order 2, simple
B[6420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,6,12,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,8,10,11,12],[1,5,6,7,8,10],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,7,8,11],[2,3,7,9,10,12],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,5,6,10,11,12],[2,5,8,9,12,13],[2,6,7,8,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,12,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6420]:=Group([(1,7)(2,11)(3,9)(4,6)(8,12)(10,13)]);
# Design 6421: autom. group order 2, simple
B[6421]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,12,13],[1,3,8,11,12,13],[1,4,5,7,10,12],[1,4,8,10,11,13],[1,5,6,7,8,11],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,7,9,11,13],[3,5,8,9,10,11],[4,5,6,9,11,12],[4,5,7,8,12,13]];
G[6421]:=Group([(1,9)(2,10)(4,8)(6,11)(7,12)]);
# Design 6422: autom. group order 2, simple
B[6422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,6,11,13],[1,3,8,10,11,12],[1,4,5,7,10,12],[1,4,8,10,12,13],[1,5,6,7,8,13],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,6,10,11,12],[2,5,7,8,9,10],[2,6,7,8,10,11],[3,4,6,7,9,10],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,8,9,12],[4,5,9,10,11,13]];
G[6422]:=Group([(2,12)(3,10)(5,8)(6,13)(9,11)]);
# Design 6423: autom. group order 2, simple, derived
B[6423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,11,12,13],[1,3,5,8,11,13],[1,3,6,7,10,12],[1,4,5,6,12,13],[1,4,7,9,10,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[1,6,8,10,11,13],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,9,11],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,9,10,11],[3,4,8,9,12,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,7,9,12,13],[4,5,6,7,8,13],[4,5,7,10,11,12]];
G[6423]:=Group([(1,6)(2,9)(3,7)(4,11)(5,8)(10,12)]);
# Design 6424: autom. group order 2, simple, derived
B[6424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,11,12,13],[1,3,5,10,11,13],[1,3,6,7,9,11],[1,4,5,6,12,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,8,9,10,12],[2,4,5,8,10,13],[2,4,6,7,9,10],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,6,9,12,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,10,11,12],[4,5,6,9,10,11],[4,5,7,8,9,11]];
G[6424]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)(8,13)]);
# Design 6425: autom. group order 2, simple
B[6425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,9,12,13],[1,3,5,10,11,12],[1,3,6,8,11,12],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,11],[4,5,6,8,9,10],[4,5,8,9,11,12]];
G[6425]:=Group([(2,10)(3,5)(4,12)(6,11)(8,13)]);
# Design 6426: autom. group order 2, simple
B[6426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,9,12,13],[1,3,5,10,11,12],[1,3,6,8,11,12],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,9,10,11],[3,4,6,7,10,13],[3,4,7,8,10,12],[3,4,9,11,12,13],[3,5,6,7,8,9],[3,5,7,9,11,13],[4,5,6,8,9,12],[4,5,8,9,10,11]];
G[6426]:=Group([(2,10)(3,5)(4,12)(6,11)(8,13)]);
# Design 6427: autom. group order 2, simple
B[6427]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,5,6,10,11],[1,4,7,8,10,12],[1,5,8,9,10,13],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,8,9,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,9,10,11],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,4,10,11,12,13],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[6427]:=Group([(1,13)(2,10)(5,11)(6,12)(7,9)]);
# Design 6428: autom. group order 2, simple, derived
B[6428]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,5,6,12,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,8,9],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,9,10],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,7,8,10,13]];
G[6428]:=Group([(1,11)(3,13)(4,9)(6,8)]);
# Design 6429: autom. group order 2, simple
B[6429]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,5,6,11,12],[1,4,8,10,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,7,8,11,12],[2,4,5,8,10,13],[2,4,6,7,9,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,8,9,11,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[6429]:=Group([(1,11)(3,8)(4,12)(5,6)(10,13)]);
# Design 6430: autom. group order 2, simple
B[6430]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,10,11,13],[1,3,6,7,9,11],[1,4,5,6,8,12],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[1,6,8,10,11,13],[2,3,6,8,11,13],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,6,7,10,11],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,9,10],[3,4,6,9,12,13],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[6430]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)(8,13)]);
# Design 6431: autom. group order 2, simple
B[6431]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,11],[1,3,5,11,12,13],[1,3,6,7,12,13],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,7,10,11,13]];
G[6431]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6432: autom. group order 2, simple, derived
B[6432]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,6,7,12,13],[1,4,5,6,10,13],[1,4,8,9,10,12],[1,5,7,9,10,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,10,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,8,11,12],[4,5,7,10,11,13]];
G[6432]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6433: autom. group order 2, simple
B[6433]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,6,7,9,12],[1,4,5,6,10,13],[1,4,8,10,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,10,11,12],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,5,7,9,10,11]];
G[6433]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 6434: autom. group order 2, simple, derived
B[6434]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,6,8,11,13],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,6,9,10,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,5,8,10,12,13]];
G[6434]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 6435: autom. group order 2, simple
B[6435]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,10,11],[1,3,5,8,12,13],[1,3,6,7,9,13],[1,4,5,6,11,13],[1,4,9,11,12,13],[1,5,7,9,10,12],[1,6,7,8,10,12],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,8,10,13],[2,5,6,7,9,11],[2,5,6,8,11,12],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,9,10,11,12],[3,5,7,8,11,12],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,7,8,9,13]];
G[6435]:=Group([(2,11)(3,13)(5,6)(7,12)(8,9)]);
# Design 6436: autom. group order 2, simple
B[6436]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,10,11],[1,3,5,8,12,13],[1,3,6,7,9,13],[1,4,5,6,11,13],[1,4,9,11,12,13],[1,5,7,8,10,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,9,10,13],[2,5,6,7,8,11],[2,5,6,9,11,12],[2,6,7,8,12,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,8,10,11,12],[3,5,7,9,11,12],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,7,8,9,13]];
G[6436]:=Group([(2,11)(3,13)(5,6)(7,12)(8,9)]);
# Design 6437: autom. group order 2, simple
B[6437]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,6,9,10,13],[1,4,5,6,11,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,6,10,11,12],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,9,11,12],[3,5,8,9,11,13],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[6437]:=Group([(2,11)(3,13)(5,6)(7,10)(9,12)]);
# Design 6438: autom. group order 2, simple, derived
B[6438]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,7,9,11,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,6,8,11,12],[2,6,7,9,12,13],[3,4,6,7,9,11],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6438]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 6439: autom. group order 2, simple
B[6439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,10,11,13],[1,3,6,7,11,12],[1,4,5,6,8,12],[1,4,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,7,8,13],[2,3,8,9,10,12],[2,4,5,11,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,6,8,9,13],[2,6,8,10,11,12],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6439]:=Group([(2,13)(3,10)(4,8)(6,12)(9,11)]);
# Design 6440: autom. group order 2, simple
B[6440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,10,12,13],[1,3,6,7,9,13],[1,4,5,6,11,13],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,7,9,11],[2,5,6,10,11,12],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,7,8,11,12],[3,5,8,9,11,13],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[6440]:=Group([(2,11)(3,13)(5,6)(7,10)(9,12)]);
# Design 6441: autom. group order 2, simple
B[6441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,6,7,11],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,6,8,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,7,8,10,11],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,8,9,11,12]];
G[6441]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 6442: autom. group order 2, simple
B[6442]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,6,7,11],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,6,8,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,7,10,12,13],[4,5,8,9,11,12]];
G[6442]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 6443: autom. group order 2, simple, derived
B[6443]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,12,13],[1,3,6,9,10,12],[1,4,5,10,11,13],[1,4,6,7,10,13],[1,5,6,8,11,12],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,8,9,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,7,8,11,13],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[6443]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 6444: autom. group order 2, simple
B[6444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,8,11,13],[1,6,7,10,11,12],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,7,10,13],[2,4,9,10,11,13],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,7,8,11,13],[3,5,9,10,12,13],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[6444]:=Group([(1,11)(2,9)(3,4)(5,13)(7,12)]);
# Design 6445: autom. group order 2, simple
B[6445]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,8,11,13],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,7,10,11],[2,3,6,9,12,13],[2,4,5,10,12,13],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,6,8,10,12],[3,4,7,8,9,11],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[6445]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6446: autom. group order 2, simple, derived
B[6446]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,8,11,13],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,7,10,11],[2,3,6,9,12,13],[2,4,5,10,12,13],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[6446]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6447: autom. group order 2, simple, derived
B[6447]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,8,11,13],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,10,12,13],[2,4,8,11,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6447]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6448: autom. group order 2, simple
B[6448]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,7,11,12],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,5,6,7,9,10],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,6,8,9,11],[2,3,6,10,12,13],[2,4,5,7,10,13],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,7,8,9,13],[3,5,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[6448]:=Group([(1,10)(2,8)(3,12)(5,6)(7,9)]);
# Design 6449: autom. group order 2, simple
B[6449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,7,10,11],[2,3,6,9,12,13],[2,4,5,8,10,12],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,6,10,11,13]];
G[6449]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6450: autom. group order 2, simple, derived
B[6450]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,7,10,12],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,8,9,12,13],[3,5,7,9,11,12],[3,5,7,10,11,13],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[6450]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6451: autom. group order 2, simple
B[6451]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,6,7,10,11],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,7,10,12,13],[3,5,7,9,11,12],[3,5,8,9,11,13],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[6451]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6452: autom. group order 2, simple, derived
B[6452]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,7,10,13],[1,3,6,8,11,12],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,10,11,12,13],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[6452]:=Group([(1,8)(3,11)(4,13)(7,9)]);
# Design 6453: autom. group order 2, simple, derived
B[6453]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,7,12,13],[1,3,6,8,11,12],[1,4,5,9,10,11],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,10,11,12,13],[3,5,6,7,9,11],[3,5,7,8,10,13],[4,5,6,7,8,12],[4,5,8,9,11,12]];
G[6453]:=Group([(1,8)(3,11)(4,13)(7,9)]);
# Design 6454: autom. group order 2, simple
B[6454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,7,9,12],[1,4,5,10,11,13],[1,4,6,8,12,13],[1,5,6,8,9,13],[1,6,7,10,12,13],[1,7,8,9,10,11],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,9,10,11,12],[3,4,6,8,9,10],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,8,11,13],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[6454]:=Group([(2,8)(3,13)(4,9)(5,6)(7,11)(10,12)]);
# Design 6455: autom. group order 2, simple, derived
B[6455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,11,12,13],[1,3,6,7,12,13],[1,4,5,8,10,13],[1,4,6,9,10,12],[1,5,6,8,10,11],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,5,9,12,13],[2,4,6,7,10,11],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,11,13]];
G[6455]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 6456: autom. group order 2, simple, derived
B[6456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,6,8,10,11],[1,6,7,8,9,13],[1,7,9,10,11,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,5,9,12,13],[2,4,6,7,8,10],[2,5,6,7,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,8,9,12],[4,5,7,8,11,13]];
G[6456]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 6457: autom. group order 2, simple, derived
B[6457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,8,11,13],[1,3,6,9,12,13],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,6,8,9,12],[1,6,7,8,10,11],[1,7,9,11,12,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,11,12,13],[2,4,6,8,9,12],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,7,8,13],[4,5,8,9,10,11]];
G[6457]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 6458: autom. group order 2, simple
B[6458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,5,8,10,12],[1,4,6,7,11,13],[1,5,6,10,12,13],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,8,10,11,13]];
G[6458]:=Group([(2,11)(3,6)(4,9)(5,13)(7,10)]);
# Design 6459: autom. group order 2, simple, derived
B[6459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,8,9],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,10],[4,5,6,7,10,13],[4,5,7,8,11,12]];
G[6459]:=Group([(1,11)(3,13)(4,9)(6,8)]);
# Design 6460: autom. group order 2, simple, derived
B[6460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,9,12,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,7,8,11],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,4,8,11,12,13],[3,5,6,9,11,12],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,5,7,9,10,12]];
G[6460]:=Group([(1,11)(3,13)(4,9)(6,8)]);
# Design 6461: autom. group order 2, simple, derived
B[6461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,10,11,12],[1,3,6,7,9,12],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,5,6,9,11,13],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,6,8,9,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,9,10,12],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,7,8,10,13],[4,5,6,7,9,10],[4,5,7,8,9,12]];
G[6461]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,11)]);
# Design 6462: autom. group order 2, simple, derived
B[6462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,8,10,13],[1,3,6,7,11,12],[1,4,5,8,11,12],[1,4,6,7,10,13],[1,5,6,9,12,13],[1,6,8,10,11,13],[1,7,8,9,10,12],[2,3,6,10,11,12],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,4,10,11,12,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[6462]:=Group([(1,7)(3,11)(4,13)(8,9)]);
# Design 6463: autom. group order 2, simple, derived
B[6463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,6,7,12,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,6,7,9,11],[1,6,8,9,12,13],[1,7,8,9,10,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,5,7,8,12],[2,4,6,11,12,13],[2,5,6,9,10,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,7,10,13],[4,5,7,8,9,13]];
G[6463]:=Group([(1,6)(2,10)(3,8)(5,11)(7,9)(12,13)]);
# Design 6464: autom. group order 2, simple
B[6464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,7,9,12],[1,4,5,8,10,13],[1,4,6,8,10,11],[1,5,6,7,8,12],[1,6,9,10,12,13],[1,7,8,9,11,13],[2,3,6,8,11,13],[2,3,7,10,11,12],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[4,5,6,7,9,11],[4,5,7,10,11,12]];
G[6464]:=Group([(1,10)(2,9)(4,8)(6,11)(7,12)]);
# Design 6465: autom. group order 2, simple
B[6465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,6,8,12,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,8,11,12,13],[2,6,7,8,9,13],[3,4,6,7,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,8,10,12],[3,5,7,9,11,13],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[6465]:=Group([(2,9)(3,12)(4,10)(5,11)(7,8)]);
# Design 6466: autom. group order 2, simple
B[6466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,7,10,13],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,7,8,12],[2,3,9,11,12,13],[2,4,5,7,11,13],[2,4,6,8,9,10],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,6,8,10,11,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,8,9,10,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[6466]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 6467: autom. group order 2, simple
B[6467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,7,10,13],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,5,7,11,13],[2,4,6,7,8,9],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,8,10,11,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[6467]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 6468: autom. group order 2, simple, derived
B[6468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,7,10,13],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,11,12,13],[2,3,8,9,10,13],[2,4,5,7,11,13],[2,4,6,7,9,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6468]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 6469: autom. group order 2, simple
B[6469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,6,8,9,11],[1,4,5,7,8,13],[1,4,6,10,11,13],[1,5,6,7,12,13],[1,6,8,9,10,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,8,10,12],[2,4,6,7,9,13],[2,5,6,9,12,13],[2,5,8,10,11,13],[2,6,7,8,11,12],[3,4,6,7,10,12],[3,4,8,11,12,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[6469]:=Group([(1,13)(3,9)(4,6)(5,7)(8,12)(10,11)]);
# Design 6470: autom. group order 2, simple
B[6470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,7,11,12],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,6,10,11,13],[4,5,8,9,12,13]];
G[6470]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6471: autom. group order 2, simple
B[6471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,11,12],[1,3,5,9,11,13],[1,3,6,10,12,13],[1,4,5,7,10,13],[1,4,6,8,10,11],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,7,9,10,11,12],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,5,7,9,12],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,5,8,10,11,13],[2,6,7,9,10,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,7,8,10,12],[4,5,6,8,12,13],[4,5,8,9,10,11]];
G[6471]:=Group([(1,10)(2,8)(3,11)(4,5)(6,9)(7,13)]);
# Design 6472: autom. group order 2, simple
B[6472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,6,9,10,13],[1,4,5,8,12,13],[1,4,6,7,10,12],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,8,9,10,11,12],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,5,10,11,12],[2,4,6,8,9,13],[2,5,6,7,8,11],[2,5,7,9,10,13],[2,6,8,10,12,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,8,9,10],[4,5,7,9,11,13]];
G[6472]:=Group([(1,13)(2,9)(3,7)(6,11)(8,12)]);
# Design 6473: autom. group order 2, simple
B[6473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,5,8,9,13],[1,4,6,7,12,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,7,9,11],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,6,7,8,9,13],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,9,11,13],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[6473]:=Group([(2,9)(3,12)(4,10)(5,11)(7,8)]);
# Design 6474: autom. group order 2, simple
B[6474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,6,7,9,13],[1,5,6,8,10,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,9,10,11,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[6474]:=Group([(1,10)(3,9)(4,13)(6,8)(7,11)]);
# Design 6475: autom. group order 2, simple
B[6475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,7,8,10],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,7,8,12],[2,3,8,9,10,13],[2,4,5,7,11,13],[2,4,6,7,9,13],[2,5,6,10,12,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,9,12,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[6475]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 6476: autom. group order 2, simple, derived
B[6476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,6,7,8,10],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,10],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,6,8,10,11,13],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,8,9,10,12],[4,5,6,7,9,12],[4,5,9,10,11,13]];
G[6476]:=Group([(2,12)(3,13)(5,8)(7,10)]);
# Design 6477: autom. group order 2, simple, derived
B[6477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,6,8,11,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,6,8,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,10,12,13],[4,5,6,8,9,12],[4,5,8,10,11,12]];
G[6477]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 6478: autom. group order 2, simple
B[6478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,12],[1,3,5,7,11,13],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,6,10,11,12],[1,6,7,8,9,10],[1,7,8,10,12,13],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,10,11,13],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,4,9,10,11,12],[3,5,7,8,11,12],[3,5,8,9,12,13],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6478]:=Group([(1,11)(3,13)(4,8)(5,6)(7,9)]);
# Design 6479: autom. group order 2, simple, derived
B[6479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,7,11,13],[1,3,6,8,9,12],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,6,8,12,13],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,10,11,12],[2,3,7,8,10,13],[2,4,5,9,12,13],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,7,9,11,12],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,9,10,11,13],[3,5,7,9,10,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[6479]:=Group([(1,11)(3,6)(4,12)(5,10)(8,9)]);
# Design 6480: autom. group order 2, simple, derived
B[6480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,10,11,12],[1,3,6,9,11,12],[1,4,5,7,10,13],[1,4,6,8,12,13],[1,5,6,8,9,13],[1,6,7,10,12,13],[1,7,8,9,10,11],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,9,10,11,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,5,7,8,11,13],[3,5,7,9,12,13],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[6480]:=Group([(2,8)(3,13)(4,9)(5,6)(7,11)(10,12)]);
# Design 6481: autom. group order 2, simple, derived
B[6481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,9,11,12],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,7,10,13],[1,5,6,7,12,13],[1,6,7,8,9,11],[1,8,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,8,10,11,12],[2,5,6,7,8,9],[2,5,6,10,11,13],[2,6,7,9,10,12],[3,4,6,8,9,10],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,7,8,10,12],[3,5,7,8,11,13],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[6481]:=Group([(2,8)(3,13)(4,9)(5,10)(6,12)(7,11)]);
# Design 6482: autom. group order 2, simple
B[6482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,12],[1,3,5,7,11,13],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,6,10,11,12],[1,6,7,8,9,10],[1,8,9,10,12,13],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,10,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,7,8,12,13],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6482]:=Group([(1,11)(3,13)(4,8)(5,6)(7,9)]);
# Design 6483: autom. group order 2, simple
B[6483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,8,11,13],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,7,8,10,11],[2,4,5,10,12,13],[2,4,8,11,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6483]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6484: autom. group order 2, simple, derived
B[6484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,9,11],[1,3,6,7,12,13],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,6,8,10,11,13],[1,7,8,9,10,13],[2,3,6,10,11,13],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,6,7,10,11],[2,5,6,8,9,13],[2,6,7,8,9,12],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,7,8,10,12],[3,5,7,11,12,13],[4,5,6,7,9,13],[4,5,9,10,11,12]];
G[6484]:=Group([(1,11)(3,10)(4,7)(5,6)(9,13)]);
# Design 6485: autom. group order 2, simple
B[6485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,7,9,13],[1,4,6,7,8,10],[1,5,6,11,12,13],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,5,8,11,12],[2,4,8,10,12,13],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,9,10,11,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[6485]:=Group([(2,11)(3,6)(4,12)(5,8)(7,13)]);
# Design 6486: autom. group order 2, simple, derived
B[6486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,7,10,11],[2,3,7,9,12,13],[2,4,5,8,10,12],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,7,10,11,13]];
G[6486]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6487: autom. group order 2, simple, derived
B[6487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,8,10,12],[2,4,8,11,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,5,8,9,10,13],[4,5,6,9,12,13],[4,5,7,10,11,13]];
G[6487]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6488: autom. group order 2, simple
B[6488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,7,10,11],[2,3,8,9,10,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,6,7,8,9,13],[3,4,6,8,9,11],[3,4,6,11,12,13],[3,4,7,9,10,13],[3,5,7,9,11,12],[3,5,8,10,12,13],[4,5,6,9,10,12],[4,5,7,8,10,11]];
G[6488]:=Group([(1,8)(2,10)(3,11)(4,5)(6,7)(9,13)]);
# Design 6489: autom. group order 2, simple
B[6489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,10,13],[1,3,6,7,9,11],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,5,6,8,12,13],[1,6,9,10,11,13],[1,7,8,9,10,12],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,5,10,11,12],[2,4,6,7,10,13],[2,5,6,7,9,12],[2,5,6,8,9,13],[2,6,7,8,10,11],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,10,11,12],[3,5,7,8,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[6489]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6490: autom. group order 2, simple
B[6490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,10,13],[1,3,6,9,11,12],[1,4,5,8,11,13],[1,4,6,8,10,11],[1,5,6,8,12,13],[1,6,7,9,10,13],[1,7,8,9,10,12],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,6,8,9,13],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,6,7,12,13],[3,4,9,10,11,13],[3,5,6,10,11,12],[3,5,7,8,11,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6490]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6491: autom. group order 2, simple
B[6491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,8,13],[1,4,6,7,9,10],[1,5,6,8,9,11],[1,6,9,10,12,13],[1,7,8,10,11,12],[2,3,7,9,12,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,8,11,12],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6491]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6492: autom. group order 2, simple, derived
B[6492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,7,11,12],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,9,10],[3,5,7,8,11,12],[4,5,7,10,11,13],[4,5,8,9,12,13]];
G[6492]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6493: autom. group order 2, simple, derived
B[6493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,9,10,11,12],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,11,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,8,9,13],[3,4,6,7,9,11],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,7,10,11,13],[4,5,8,9,12,13]];
G[6493]:=Group([(2,9)(3,12)(4,10)(5,11)]);
# Design 6494: autom. group order 2, simple
B[6494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,10,12,13],[1,4,6,7,9,10],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,7,9,11,12],[2,3,8,9,10,13],[2,4,5,7,8,13],[2,4,6,8,11,12],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6494]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6495: autom. group order 2, simple
B[6495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,10,11,13],[1,3,6,8,9,13],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,6,8,11,12],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,6,8,10,12],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,6,8,10,11,13],[3,4,6,7,11,13],[3,4,6,9,11,12],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,8,11,12],[4,5,7,8,9,13],[4,5,9,10,12,13]];
G[6495]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)(8,13)]);
# Design 6496: autom. group order 2, simple
B[6496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,8,10,13],[1,4,6,7,9,10],[1,5,6,8,9,11],[1,6,7,9,12,13],[1,7,8,10,11,12],[2,3,7,8,9,11],[2,3,9,10,12,13],[2,4,5,7,12,13],[2,4,6,8,11,12],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6496]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6497: autom. group order 2, simple, derived
B[6497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,6,10,11,12],[1,4,5,10,12,13],[1,4,6,8,9,11],[1,5,6,7,12,13],[1,6,7,8,9,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,7,8,12],[2,4,6,9,10,13],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,7,8,10,11],[4,5,9,11,12,13]];
G[6497]:=Group([(1,5)(2,12)(3,13)(6,10)(7,9)(8,11)]);
# Design 6498: autom. group order 2, simple
B[6498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,8,9,11],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,6,9,11,13],[1,5,10,11,12,13],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,6,9,11,13],[2,4,5,9,12,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,6,8,10,13],[2,7,8,9,10,11],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,7,8,12,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,6,8,9,12]];
G[6498]:=Group([(1,3)(2,5)(4,9)(6,10)(7,11)]);
# Design 6499: autom. group order 2, simple
B[6499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,12,13],[1,3,5,9,12,13],[1,3,6,8,10,11],[1,4,5,11,12,13],[1,4,6,7,10,12],[1,5,7,8,11,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,5,6,8,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,7,8,9,12],[4,5,6,9,10,11],[4,5,7,8,10,12]];
G[6499]:=Group([(1,9)(2,12)(4,8)(6,7)(10,13)]);
# Design 6500: autom. group order 2, simple, derived
B[6500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,6,11,13],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,9,10,11,13],[3,4,6,7,9,12],[3,4,8,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,5,7,8,10,13]];
G[6500]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 6501: autom. group order 2, simple
B[6501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,7,11,12],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,5,9,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,9,10],[2,4,5,6,10,12],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6501]:=Group([(1,12)(2,4)(3,10)(5,6)(7,13)(9,11)]);
# Design 6502: autom. group order 2, simple
B[6502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,7,11,12],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,5,9,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,5,6,10,12],[2,4,8,10,12,13],[2,5,6,7,8,9],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,11]];
G[6502]:=Group([(1,12)(2,4)(3,10)(5,6)(7,13)(9,11)]);
# Design 6503: autom. group order 2, simple
B[6503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,10,12,13],[1,3,6,7,12,13],[1,4,5,8,9,13],[1,4,6,7,10,11],[1,5,8,10,11,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,7,9,10,11],[2,6,8,9,10,13],[3,4,6,8,9,10],[3,4,8,10,11,13],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,7,8,10,12]];
G[6503]:=Group([(1,5)(2,12)(3,10)(4,8)(6,11)(9,13)]);
# Design 6504: autom. group order 2, simple
B[6504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,5,7,11,13],[1,4,6,8,9,13],[1,5,7,9,10,12],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,9,11],[2,3,8,9,10,13],[2,4,5,6,10,12],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,6,10,11,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[6504]:=Group([(1,12)(2,4)(3,10)(5,6)(7,13)(9,11)]);
# Design 6505: autom. group order 2, simple
B[6505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,5,7,9,13],[1,4,6,8,10,11],[1,5,7,8,11,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,3,7,9,10,12],[2,4,5,6,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,8,9],[3,4,7,10,11,13],[3,4,9,11,12,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,9,10,12],[4,5,7,8,10,12]];
G[6505]:=Group([(1,9)(2,6)(3,8)(4,7)(5,13)(11,12)]);
# Design 6506: autom. group order 2, simple
B[6506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,5,7,12,13],[1,4,6,9,10,13],[1,5,8,9,10,11],[1,6,7,8,9,13],[1,6,7,8,11,12],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,6,8,13],[2,4,8,10,11,12],[2,5,6,7,9,11],[2,5,7,8,9,12],[2,6,9,10,12,13],[3,4,6,9,11,12],[3,4,7,8,9,10],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,6,7,10,12],[4,5,8,10,11,13]];
G[6506]:=Group([(1,10)(2,8)(3,11)(6,13)(7,12)]);
# Design 6507: autom. group order 2, simple
B[6507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,11,12,13],[1,3,5,8,10,11],[1,3,6,8,9,12],[1,4,5,7,9,13],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,5,6,7,9,11],[2,5,6,8,9,13],[2,7,8,9,10,11],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,7,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6507]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)]);
# Design 6508: autom. group order 2, simple
B[6508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,7,9,10],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,7,8,9,10,12],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,11,13]];
G[6508]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 6509: autom. group order 2, simple, derived
B[6509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,7,9,10],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,5,6,7,8,13],[2,5,6,9,10,11],[2,7,8,9,10,12],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,11,12],[4,5,7,9,11,13]];
G[6509]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 6510: autom. group order 2, simple
B[6510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,7,9,10],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,7,9,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,8,9,12],[4,5,7,8,11,13]];
G[6510]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 6511: autom. group order 2, simple, derived
B[6511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,7,9,10],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,5,6,7,11,13],[2,5,6,8,9,10],[2,7,9,10,11,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,6,8,11,12],[4,5,7,8,9,13]];
G[6511]:=Group([(2,13)(3,12)(4,10)(6,7)]);
# Design 6512: autom. group order 2, simple
B[6512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,9,10,13],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,8,9,10,11,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6512]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 6513: autom. group order 2, simple, derived
B[6513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,8,9,10,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,9,10,11,13],[3,5,6,9,11,12],[3,5,7,8,9,10],[4,5,6,7,10,13],[4,5,7,8,11,12]];
G[6513]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 6514: autom. group order 2, simple, derived
B[6514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,11,12,13],[1,3,6,8,9,13],[1,4,5,7,8,11],[1,4,6,10,11,13],[1,5,7,8,12,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,7,8,9,11,13],[3,4,6,7,10,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[6514]:=Group([(1,9)(3,13)(4,11)(5,7)(6,8)]);
# Design 6515: autom. group order 2, simple, derived
B[6515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,9,11,13],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,6,8,9,11],[2,8,9,10,12,13],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,10,11,12],[4,5,7,9,11,13]];
G[6515]:=Group([(1,12)(3,13)(5,8)]);
# Design 6516: autom. group order 2, simple, derived
B[6516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,5,9,10,13],[1,4,6,8,10,11],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,8,9,11],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,8,9,10,12,13],[3,4,6,7,10,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,10,11,12],[4,5,7,8,9,11]];
G[6516]:=Group([(1,12)(3,13)(5,8)]);
# Design 6517: autom. group order 2, simple
B[6517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,6,7,9,12],[1,4,5,8,10,11],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,5,6,7,8,9],[2,5,6,8,11,12],[2,7,8,9,10,11],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,8,9,10,13],[4,5,6,7,10,12],[4,5,7,9,11,13]];
G[6517]:=Group([(1,10)(2,9)(4,8)(6,13)(7,12)]);
# Design 6518: autom. group order 2, simple
B[6518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,11,12,13],[1,3,6,7,11,12],[1,4,5,8,10,13],[1,4,9,10,12,13],[1,5,6,7,8,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,9,13],[2,3,6,10,12,13],[2,4,5,11,12,13],[2,4,6,7,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,7,8,10,11,13],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,7,8,10,12],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6518]:=Group([(1,12)(2,8)(3,9)(4,5)(10,11)]);
# Design 6519: autom. group order 2, simple
B[6519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,11],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,5,7,10,13],[1,4,8,10,12,13],[1,5,6,7,10,11],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,10,12],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,7,8,9,12],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[6519]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6520: autom. group order 2, simple
B[6520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,11,12,13],[1,3,6,9,11,13],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,7,8,9,11],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[6520]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 6521: autom. group order 2, simple, derived
B[6521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,5,7,10,13],[1,4,8,9,10,11],[1,5,6,7,9,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,7,9,11],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6521]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 6522: autom. group order 2, simple
B[6522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,6,10,12,13],[1,4,5,7,11,12],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,6,7,8,9,10],[1,6,9,11,12,13],[2,3,6,7,9,12],[2,3,6,8,11,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,7,8,10,11,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[6522]:=Group([(1,13)(2,7)(3,9)(4,5)(10,11)]);
# Design 6523: autom. group order 2, simple
B[6523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,5,7,10,12],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,7,8,10,11,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[6523]:=Group([(1,13)(2,7)(3,9)(4,5)(10,11)]);
# Design 6524: autom. group order 2, simple, derived
B[6524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,12],[1,3,5,8,10,11],[1,3,6,7,12,13],[1,4,5,9,12,13],[1,4,9,10,11,13],[1,5,6,10,12,13],[1,6,7,8,9,10],[1,6,7,8,11,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,5,6,8,13],[2,4,6,10,11,12],[2,5,7,8,9,13],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[6524]:=Group([(2,13)(3,6)(4,12)(5,7)(8,10)(9,11)]);
# Design 6525: autom. group order 2, simple
B[6525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,9,12,13],[1,3,6,7,12,13],[1,4,5,8,11,13],[1,4,8,10,11,12],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,6,8,9,10,13],[2,3,6,10,11,12],[2,3,8,11,12,13],[2,4,5,6,10,13],[2,4,6,7,8,9],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,9,12,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,8,9,10,13],[3,5,6,8,10,11],[3,5,7,8,9,11],[4,5,6,9,11,12],[4,5,7,10,12,13]];
G[6525]:=Group([(1,12)(2,10)(3,7)(6,13)(8,9)]);
# Design 6526: autom. group order 2, simple
B[6526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,5,7,10,13],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,6,10,12],[2,4,6,8,9,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,10,11,12],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[6526]:=Group([(1,9)(2,10)(4,8)(6,11)(7,12)]);
# Design 6527: autom. group order 2, simple
B[6527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,10,12],[1,4,8,10,11,13],[1,5,6,7,8,11],[1,6,7,8,9,10],[1,6,9,10,12,13],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,6,8,9,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,10,11,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,9,11,12],[4,5,7,8,12,13]];
G[6527]:=Group([(1,9)(2,10)(4,8)(6,11)(7,12)]);
# Design 6528: autom. group order 2, simple
B[6528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,11,12,13],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,7,8,10,13],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,6,9,13],[2,4,6,7,10,12],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,8,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,5,8,9,10,12],[4,5,6,10,12,13],[4,5,7,9,11,13]];
G[6528]:=Group([(1,10)(2,9)(4,8)(6,12)(7,13)]);
# Design 6529: autom. group order 2, simple, derived
B[6529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,11,12,13],[1,3,6,10,12,13],[1,4,5,8,10,12],[1,4,7,10,11,13],[1,5,6,7,8,9],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,11,13],[2,3,8,9,10,11],[2,4,5,6,9,13],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,4,8,9,12,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,11]];
G[6529]:=Group([(1,4)(2,7)(3,11)(5,10)(6,13)(8,12)]);
# Design 6530: autom. group order 2, simple
B[6530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,9,11,13],[1,3,6,7,12,13],[1,4,5,8,11,12],[1,4,8,10,12,13],[1,5,6,8,10,13],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,6,8,11,12],[2,3,8,10,12,13],[2,4,5,6,7,10],[2,4,7,8,9,13],[2,5,6,11,12,13],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,9,10,11,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[6530]:=Group([(1,11)(3,6)(4,12)(5,8)(7,13)]);
# Design 6531: autom. group order 2, simple, derived
B[6531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,10,11,13],[1,4,5,7,9,13],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,7,8,12,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[6531]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6532: autom. group order 2, simple
B[6532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,5,7,9,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,7,8,12,13],[3,5,9,10,11,12],[4,5,6,7,11,12],[4,5,8,9,10,12]];
G[6532]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6533: autom. group order 2, simple
B[6533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,6,9,10,12],[1,4,5,8,10,11],[1,4,7,10,12,13],[1,5,6,7,9,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,10,11,13],[2,3,7,9,11,13],[2,4,5,6,7,12],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,8,9,10,12],[2,6,7,8,10,11],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,7,8,11,12],[3,5,7,10,12,13],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[6533]:=Group([(1,10)(3,9)(4,8)(6,12)(7,13)]);
# Design 6534: autom. group order 2, simple
B[6534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,8,9,11],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,9,10,11,13],[1,5,6,11,12,13],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,8,9,12],[2,5,6,7,10,11],[2,5,6,8,10,13],[2,7,8,9,10,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,10,11,13],[3,5,7,8,12,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6534]:=Group([(1,3)(2,5)(4,9)(6,10)(7,11)]);
# Design 6535: autom. group order 2, simple
B[6535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,7,11,13],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,9,10,12,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,6,7,8,12,13],[2,3,6,8,10,12],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,8,9,10,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6535]:=Group([(1,11)(3,13)(4,10)(5,6)(7,9)]);
# Design 6536: autom. group order 2, simple
B[6536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,9,11,13],[1,3,6,7,11,13],[1,4,5,8,10,13],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,7,8,9,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,8,9,10,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,7,8,11,12],[3,5,7,10,12,13],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6536]:=Group([(1,11)(3,13)(4,10)(5,6)(7,9)]);
# Design 6537: autom. group order 2, simple, derived
B[6537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,11,12,13],[1,3,6,8,9,13],[1,4,5,7,8,11],[1,4,8,10,11,13],[1,5,6,7,12,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,7,8,9,11,13],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[6537]:=Group([(1,9)(3,13)(4,11)(5,7)(6,8)]);
# Design 6538: autom. group order 2, simple, derived
B[6538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,8,13],[1,4,8,9,10,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,9,11],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[6538]:=Group([(1,12)(3,13)(4,9)]);
# Design 6539: autom. group order 2, simple, derived
B[6539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,7,8,13],[1,4,8,9,10,12],[1,5,6,7,9,11],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,11,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,6,8,9,11],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,7,8,9,12],[3,5,8,9,10,11],[4,5,6,7,11,12],[4,5,8,10,11,13]];
G[6539]:=Group([(1,12)(3,13)(4,9)]);
# Design 6540: autom. group order 2, simple
B[6540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,10,12,13],[1,3,6,8,9,13],[1,4,5,7,11,12],[1,4,8,9,10,13],[1,5,6,7,8,11],[1,6,7,8,10,12],[1,6,9,11,12,13],[2,3,6,10,11,12],[2,3,8,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,7,8,9,10,12],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,7,8,9,12],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,5,8,10,11,13]];
G[6540]:=Group([(1,7)(3,13)(4,10)(5,6)(8,11)]);
# Design 6541: autom. group order 2, simple
B[6541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,6,7,9,13],[1,4,5,8,10,11],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,7,9,10,11],[2,3,8,10,12,13],[2,4,5,6,9,12],[2,4,6,10,11,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,6,7,8,12],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,7,11,12,13],[4,5,7,8,9,11],[4,5,7,9,10,13]];
G[6541]:=Group([(1,13)(3,8)(4,12)(6,9)(7,10)]);
# Design 6542: autom. group order 2, simple
B[6542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,10,11,12],[1,3,6,9,12,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,9,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,6,8,10],[2,4,6,9,11,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[4,5,7,8,9,12],[4,5,9,10,11,13]];
G[6542]:=Group([(1,11)(2,8)(4,13)(7,9)(10,12)]);
# Design 6543: autom. group order 2, simple, derived
B[6543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,10,11,12,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,5,7,8,9,10],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,7,8,11,13]];
G[6543]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 6544: autom. group order 2, simple, derived
B[6544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,5,7,10,11,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,6,9,10,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6544]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 6545: autom. group order 2, simple, derived
B[6545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,5,6,10,13],[1,4,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,11,13],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,7,10,11,13]];
G[6545]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6546: autom. group order 2, simple, derived
B[6546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,5,6,10,13],[1,4,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,9,11],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[6546]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6547: autom. group order 2, simple, derived
B[6547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,6,7,9,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,6,9,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[6547]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6548: autom. group order 2, simple, derived
B[6548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,6,8,9,12],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,7,9,11],[2,3,6,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,5,7,9,10,11]];
G[6548]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 6549: autom. group order 2, simple
B[6549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,12],[1,3,8,9,10,13],[1,4,5,6,10,13],[1,4,6,7,9,12],[1,5,7,8,12,13],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,6,9,11,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,7,9,12,13],[4,5,6,8,9,13],[4,5,8,9,10,11]];
G[6549]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 6550: autom. group order 2, simple
B[6550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,6,8,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,11,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[6550]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6551: autom. group order 2, simple
B[6551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,5,6,10,13],[1,4,6,8,9,11],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,7,9,12],[2,3,6,8,12,13],[2,4,5,7,11,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,6,7,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,8,9,12],[4,5,7,9,10,12]];
G[6551]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 6552: autom. group order 2, simple
B[6552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,5,6,10,11],[1,4,6,9,12,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,7,10,12,13],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,7,10,13],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,9,10,11,12],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[6552]:=Group([(1,11)(3,6)(4,13)(5,8)(7,12)]);
# Design 6553: autom. group order 2, simple
B[6553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,5,6,8,13],[1,4,8,10,11,12],[1,5,6,7,10,12],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,8,10,12],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,7,11,12],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,8,10,11,13]];
G[6553]:=Group([(1,8)(2,10)(3,11)(6,13)(7,12)]);
# Design 6554: autom. group order 2, simple
B[6554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,11],[1,3,5,8,10,13],[1,3,7,11,12,13],[1,4,5,6,12,13],[1,4,8,9,11,13],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,3,6,9,12,13],[2,4,5,7,8,12],[2,4,6,7,10,13],[2,5,7,11,12,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,6,7,10,11],[3,4,8,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[6554]:=Group([(2,5)(4,10)(6,9)(7,13)(11,12)]);
# Design 6555: autom. group order 2, simple
B[6555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,5,6,8,13],[1,4,8,10,11,12],[1,5,6,7,10,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,3,6,10,11,13],[2,4,5,7,9,13],[2,4,6,7,11,12],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,6,8,9,12,13],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,7,9,11,12],[4,5,6,9,10,12],[4,5,8,10,11,13]];
G[6555]:=Group([(1,8)(2,10)(3,11)(6,13)(7,12)]);
# Design 6556: autom. group order 2, simple
B[6556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,5,6,8,13],[1,4,8,9,10,11],[1,5,6,7,10,12],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,3,6,10,11,13],[2,4,5,7,12,13],[2,4,6,7,9,11],[2,5,7,8,10,11],[2,5,8,9,12,13],[2,6,7,8,9,13],[3,4,6,11,12,13],[3,4,7,8,10,12],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,6,9,10,12],[4,5,8,10,11,13]];
G[6556]:=Group([(1,8)(2,10)(3,11)(6,13)(7,9)]);
# Design 6557: autom. group order 2, simple
B[6557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,5,6,11,13],[1,4,8,9,10,13],[1,5,6,7,10,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,7,9,11],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,6,7,9,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6557]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 6558: autom. group order 2, simple, derived
B[6558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,5,6,10,13],[1,4,8,9,10,12],[1,5,6,7,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,9,11],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[6558]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6559: autom. group order 2, simple, derived
B[6559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,8,10,12],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,11,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,6,7,9,10],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[6559]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6560: autom. group order 2, simple
B[6560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,5,6,11,13],[1,4,7,8,9,10],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,11,12],[2,3,6,9,10,13],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,7,8,11,13],[3,5,7,9,10,12],[4,5,6,7,9,12],[4,5,9,10,11,13]];
G[6560]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 6561: autom. group order 2, simple
B[6561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,10,13],[1,3,7,8,11,13],[1,4,5,6,8,12],[1,4,8,9,10,11],[1,5,6,9,11,13],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,6,8,9,11],[2,3,9,10,12,13],[2,4,5,10,11,12],[2,4,6,7,10,13],[2,5,6,8,9,13],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,7,8,9,10],[4,5,7,9,11,13]];
G[6561]:=Group([(1,3)(2,5)(4,10)(6,9)(8,13)]);
# Design 6562: autom. group order 2, simple, derived
B[6562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,5,6,10,13],[1,4,8,9,10,12],[1,5,6,7,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,10,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,8,9,12],[4,5,7,10,11,13],[4,5,8,9,10,11]];
G[6562]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 6563: autom. group order 2, simple
B[6563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,8,10,12,13],[1,4,5,6,10,12],[1,4,7,8,11,12],[1,5,6,7,9,13],[1,6,7,8,9,10],[1,6,9,11,12,13],[2,3,6,7,11,13],[2,3,9,10,11,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[6563]:=Group([(1,10)(2,13)(5,12)(8,9)]);
# Design 6564: autom. group order 2, simple, derived
B[6564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,9,11,13],[1,3,8,10,12,13],[1,4,5,6,8,13],[1,4,7,8,11,12],[1,5,6,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,11,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,9,10,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[6564]:=Group([(1,10)(2,13)(5,12)(8,9)]);
# Design 6565: autom. group order 2, simple, derived
B[6565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,8,10,12,13],[1,4,5,6,9,13],[1,4,7,8,11,12],[1,5,6,10,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,7,11,13],[2,3,9,10,11,12],[2,4,5,7,12,13],[2,4,6,8,10,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[6565]:=Group([(1,10)(2,13)(5,12)(8,9)]);
# Design 6566: autom. group order 2, simple
B[6566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,8,12,13],[1,3,7,11,12,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,6,7,8,10],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,8,9,11],[2,3,6,10,11,12],[2,4,5,6,12,13],[2,4,7,8,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,12],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[6566]:=Group([(1,12)(2,9)(3,8)(6,11)(7,10)]);
# Design 6567: autom. group order 2, simple
B[6567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,5,9,10,12],[1,4,6,9,11,13],[1,5,6,8,10,11],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,6,8,9,12],[2,3,6,10,12,13],[2,4,5,6,7,13],[2,4,7,8,10,11],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,9,10,11,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,7,11,12,13],[4,5,6,7,10,12],[4,5,8,9,12,13]];
G[6567]:=Group([(1,13)(2,9)(3,8)(6,12)(7,10)]);
# Design 6568: autom. group order 2, simple
B[6568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,11,12,13],[1,3,5,9,11,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,5,6,7,10,12],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,6,7,10,13],[2,3,6,8,12,13],[2,4,5,9,12,13],[2,4,6,9,10,11],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,7,8,9,10,12],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,4,10,11,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,11,13],[4,5,7,8,10,12]];
G[6568]:=Group([(1,10)(2,11)(5,13)(6,12)(7,9)]);
# Design 6569: autom. group order 2, simple
B[6569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,6,7,8,11],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,6,10,11,13],[2,4,5,9,11,12],[2,4,6,8,9,10],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,7,9,10,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,6,7,9,13],[4,5,7,8,10,13]];
G[6569]:=Group([(1,5)(2,13)(3,10)(6,11)(9,12)]);
# Design 6570: autom. group order 2, simple
B[6570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,6,7,8,11],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,6,10,11,13],[2,4,5,9,11,12],[2,4,6,8,9,10],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,7,9,10,11,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,8,10,13]];
G[6570]:=Group([(1,5)(2,13)(3,10)(6,11)(9,12)]);
# Design 6571: autom. group order 2, simple
B[6571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,7,8,12,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,6,7,8,11],[1,6,7,9,10,11],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,6,10,11,13],[2,4,5,9,11,12],[2,4,6,8,10,12],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,7,10,11,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,7,9,13],[4,5,7,8,10,13]];
G[6571]:=Group([(1,5)(2,13)(3,10)(6,11)(9,12)]);
# Design 6572: autom. group order 2, simple
B[6572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,7,9,10,12],[1,4,5,8,10,13],[1,4,6,10,11,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,8,9,11],[2,3,6,10,12,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,7,8,9,10,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,5,7,9,11,12]];
G[6572]:=Group([(1,10)(3,9)(4,13)(6,11)]);
# Design 6573: autom. group order 2, simple, derived
B[6573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,5,9,10,13],[1,4,6,10,11,13],[1,5,6,7,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,7,9,11],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,7,9,10,12,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[6573]:=Group([(1,12)(3,13)(5,7)]);
# Design 6574: autom. group order 2, simple, derived
B[6574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,5,9,10,13],[1,4,6,10,11,13],[1,5,6,7,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,6,9,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,7,9,11],[2,5,8,10,11,12],[2,7,9,10,12,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,10,11,13],[4,5,6,7,8,10],[4,5,8,9,11,13]];
G[6574]:=Group([(1,12)(3,13)(5,7)]);
# Design 6575: autom. group order 2, simple
B[6575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,7,10,12],[1,3,8,11,12,13],[1,4,5,9,11,13],[1,4,6,8,10,12],[1,5,6,9,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,9,13],[2,3,6,10,11,13],[2,4,5,7,10,13],[2,4,6,10,11,12],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,7,9,10,12,13],[3,4,6,7,9,11],[3,4,7,9,12,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,13],[4,5,8,9,10,11]];
G[6575]:=Group([(1,3)(2,5)(4,10)(6,9)(8,12)]);
# Design 6576: autom. group order 2, simple
B[6576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,8,13],[2,3,6,10,11,12],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,7,8,9,10,12],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,8,9,10,13],[4,5,6,7,9,12],[4,5,7,10,11,13]];
G[6576]:=Group([(1,10)(2,9)(4,8)(6,13)(7,11)]);
# Design 6577: autom. group order 2, simple
B[6577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,5,8,10,11],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,7,8,9,10,11],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,8,9,10,13],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6577]:=Group([(1,10)(2,9)(4,8)(6,13)(7,12)]);
# Design 6578: autom. group order 2, simple, derived
B[6578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,8,9,11],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,6,8,9,12],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,5,6,7,11,12],[2,5,9,10,12,13],[2,8,9,10,11,13],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,7,9,10],[4,5,7,8,9,12]];
G[6578]:=Group([(1,10)(3,9)(4,13)(6,12)(7,11)]);
# Design 6579: autom. group order 2, simple, derived
B[6579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,5,8,10,13],[1,4,6,10,11,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,7,10,13],[2,3,6,8,9,11],[2,4,5,7,12,13],[2,4,6,8,10,12],[2,5,6,7,11,12],[2,5,9,10,11,13],[2,8,9,10,12,13],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,8,12,13],[3,5,7,8,10,11],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6579]:=Group([(1,10)(3,9)(4,13)(6,11)(7,12)]);
# Design 6580: autom. group order 2, simple, derived
B[6580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,8,10,12,13],[1,4,5,7,9,13],[1,4,6,7,12,13],[1,5,6,8,11,12],[1,6,7,9,10,11],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,6,9,12,13],[2,4,5,10,11,13],[2,4,6,8,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,7,8,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,7,11,12,13],[4,5,6,7,8,10],[4,5,9,10,12,13]];
G[6580]:=Group([(1,11)(3,13)(5,8)(7,10)]);
# Design 6581: autom. group order 2, simple
B[6581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,9,11,12],[1,3,10,11,12,13],[1,4,5,8,10,13],[1,4,6,7,9,10],[1,5,6,7,11,13],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,7,8,9,10,11],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,7,8,9,13],[3,5,7,8,10,12],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[6581]:=Group([(1,13)(2,9)(3,4)(5,12)(8,11)]);
# Design 6582: autom. group order 2, simple
B[6582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,9,11,12],[1,3,8,10,12,13],[1,4,5,10,11,13],[1,4,6,7,9,10],[1,5,6,7,8,13],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,7,8,9,10,11],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6582]:=Group([(1,13)(2,9)(3,4)(5,12)(8,11)]);
# Design 6583: autom. group order 2, simple
B[6583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,9,11],[1,3,8,10,12,13],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,6,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,13],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,7,8,13],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,7,10,11,13],[3,5,8,9,12,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[6583]:=Group([(1,11)(2,9)(3,4)(5,13)(7,12)]);
# Design 6584: autom. group order 2, simple
B[6584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,9,11],[1,3,8,10,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,7,10,13],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,6,8,11,12],[2,7,8,9,10,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,7,8,11,13],[3,5,9,10,12,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[6584]:=Group([(1,11)(2,9)(3,4)(5,13)(7,12)]);
# Design 6585: autom. group order 2, simple
B[6585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,13],[1,3,7,8,9,12],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,10,12,13],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,5,6,9,13],[2,4,6,7,11,12],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,10,13],[3,4,8,9,10,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,7,8,10,11],[4,5,7,9,10,12]];
G[6585]:=Group([(1,8)(2,10)(3,11)(6,7)(12,13)]);
# Design 6586: autom. group order 2, simple
B[6586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,5,6,7,10,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,7,11,12],[2,3,9,10,11,13],[2,4,5,6,11,13],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,6,7,8,9],[3,4,6,9,10,12],[3,4,8,10,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,7,8,10,11],[4,5,7,9,11,12]];
G[6586]:=Group([(1,9)(2,6)(3,7)(4,8)(5,13)(11,12)]);
# Design 6587: autom. group order 2, simple
B[6587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,9,11],[1,3,8,10,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,6,10,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,5,6,7,13],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,7,8,10,11],[4,5,7,9,10,12]];
G[6587]:=Group([(1,11)(2,9)(3,4)(5,13)(7,12)]);
# Design 6588: autom. group order 2, simple
B[6588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,9,11,13],[1,5,6,8,10,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,8,10,12,13],[2,4,5,6,12,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,6,7,9,11],[3,5,9,10,11,12],[4,5,7,8,10,11],[4,5,8,9,12,13]];
G[6588]:=Group([(1,12)(2,5)(3,13)(7,9)(10,11)]);
# Design 6589: autom. group order 2, simple, derived
B[6589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,5,6,8,10,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,5,6,9,13],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,11,12,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[6589]:=Group([(1,13)(2,10)(5,12)(8,9)]);
# Design 6590: autom. group order 2, simple
B[6590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,5,6,7,10,12],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,10,11],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,7,8,9,10,12],[3,4,6,7,12,13],[3,4,6,8,9,10],[3,4,9,10,11,12],[3,5,6,9,11,12],[3,5,7,8,10,13],[4,5,7,8,10,11],[4,5,7,9,11,13]];
G[6590]:=Group([(2,10)(3,13)(4,6)(5,11)(7,12)]);
# Design 6591: autom. group order 2, simple, derived
B[6591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,7,8,11,13],[1,4,9,11,12,13],[1,5,6,7,9,12],[1,5,6,10,11,13],[1,6,7,8,9,10],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[2,6,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[6591]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6592: autom. group order 2, simple
B[6592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,6,7,13],[1,3,8,9,11,12],[1,4,6,8,9,10],[1,4,7,9,11,13],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,8,10,12,13],[2,3,7,8,10,11],[2,3,9,10,11,13],[2,4,5,8,10,12],[2,4,5,9,12,13],[2,5,6,8,11,13],[2,6,7,8,9,12],[2,6,7,9,10,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,7,8,9,11]];
G[6592]:=Group([(1,10)(2,3)(4,11)(5,9)(6,13)]);
# Design 6593: autom. group order 2, simple, derived
B[6593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,6,11,12],[1,3,8,9,10,11],[1,4,6,7,10,13],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,5,7,8,12],[2,4,5,10,11,13],[2,5,6,8,9,13],[2,6,7,9,10,11],[2,6,8,10,11,12],[3,4,6,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[6593]:=Group([(2,7)(3,13)(4,6)(5,10)(8,11)(9,12)]);
# Design 6594: autom. group order 2, simple
B[6594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,6,11,12],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,5,7,8,12],[2,4,5,10,11,13],[2,5,6,8,9,13],[2,6,7,10,11,12],[2,6,8,9,10,11],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,10],[3,5,7,11,12,13],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[6594]:=Group([(2,7)(3,13)(4,6)(5,10)(8,11)]);
# Design 6595: autom. group order 2, simple
B[6595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,6,11,13],[1,3,8,9,11,12],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,8,10,13],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,9,13],[2,4,5,8,10,11],[2,5,6,8,12,13],[2,6,7,8,9,11],[2,6,9,10,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,8,10,12],[4,5,7,9,11,12]];
G[6595]:=Group([(1,10)(2,3)(4,12)(5,9)(6,13)]);
# Design 6596: autom. group order 2, simple
B[6596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,6,11,13],[1,3,8,9,11,12],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,7,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,13],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,9,13],[2,4,5,8,10,11],[2,5,6,8,12,13],[2,6,7,8,9,11],[2,6,9,10,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[6596]:=Group([(1,10)(2,3)(4,12)(5,9)(6,13)]);
# Design 6597: autom. group order 2, simple
B[6597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,6,9,12,13],[1,4,8,10,11,13],[1,5,6,7,8,11],[1,5,7,9,10,12],[1,7,8,10,12,13],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,7,10,13],[2,4,5,8,12,13],[2,5,8,9,11,13],[2,6,7,8,9,11],[2,6,7,9,10,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,9,11,12,13],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[6597]:=Group([(1,10)(2,11)(3,4)(5,13)(8,9)]);
# Design 6598: autom. group order 2, simple
B[6598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,6,7,10,12],[1,5,7,9,12,13],[1,7,8,9,10,11],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,5,7,10,11],[2,4,5,8,9,12],[2,5,8,10,12,13],[2,6,7,8,11,12],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,7,9,11,12],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,7,8,13],[4,5,6,9,11,13]];
G[6598]:=Group([(1,12)(2,5)(3,8)(4,10)(6,13)(7,11)]);
# Design 6599: autom. group order 2, simple
B[6599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,11,12,13],[1,3,6,7,8,11],[1,4,6,8,9,13],[1,4,7,10,11,12],[1,5,6,10,12,13],[1,5,8,9,10,11],[1,7,8,9,12,13],[2,3,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,5,8,11,13],[2,5,6,8,9,12],[2,6,7,9,11,13],[2,6,8,10,11,12],[3,4,6,9,10,13],[3,4,6,9,11,12],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[6599]:=Group([(1,5)(2,9)(3,10)(4,8)(6,11)]);
# Design 6600: autom. group order 2, simple
B[6600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,11,12,13],[1,3,6,7,8,11],[1,4,6,8,9,13],[1,4,7,10,11,12],[1,5,6,10,12,13],[1,5,8,9,10,11],[1,7,8,9,12,13],[2,3,7,9,10,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,5,8,11,13],[2,5,6,8,9,12],[2,6,7,9,11,12],[2,6,8,10,11,13],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,7,9,11,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[6600]:=Group([(1,5)(2,9)(3,10)(4,8)(6,11)]);
# Design 6601: autom. group order 2, simple
B[6601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,6,9,12,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,7,8,11],[1,5,7,8,9,13],[1,8,9,10,11,12],[2,3,7,8,10,12],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,5,10,12,13],[2,5,6,7,9,12],[2,6,7,11,12,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[6601]:=Group([(1,12)(2,8)(4,10)(5,6)(9,11)]);
# Design 6602: autom. group order 2, simple
B[6602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,8,11,13],[1,3,6,8,12,13],[1,4,6,10,12,13],[1,4,7,9,11,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[2,3,6,7,10,13],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,5,10,12,13],[2,5,6,7,8,11],[2,6,8,10,11,13],[2,7,8,9,12,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,5,7,11,12,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6602]:=Group([(1,9)(2,11)(3,4)(5,13)(7,10)]);
# Design 6603: autom. group order 2, simple
B[6603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,8,9,12],[1,4,6,9,10,13],[1,4,10,11,12,13],[1,5,7,8,12,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,7,11,12],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,5,8,10,11],[2,5,6,9,11,13],[2,6,8,9,12,13],[2,7,8,9,10,11],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,9,10,13],[4,5,6,7,8,9],[4,5,6,8,10,12]];
G[6603]:=Group([(1,10)(2,9)(4,7)(6,13)(8,12)]);
# Design 6604: autom. group order 2, simple
B[6604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,7,12,13],[1,4,6,9,12,13],[1,4,8,10,11,13],[1,5,7,8,11,12],[1,5,8,9,10,13],[1,6,7,8,9,10],[2,3,6,8,9,13],[2,3,8,10,11,12],[2,4,5,7,10,13],[2,4,5,8,12,13],[2,5,6,7,9,11],[2,6,7,8,11,13],[2,7,9,10,12,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,9,11,12,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6604]:=Group([(1,10)(2,11)(3,4)(5,13)(8,9)]);
# Design 6605: autom. group order 2, simple
B[6605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,8,9,10,12],[1,4,9,10,11,13],[1,5,6,8,12,13],[1,5,7,8,11,13],[1,6,7,8,10,11],[2,3,7,8,9,13],[2,3,8,11,12,13],[2,4,5,6,11,12],[2,4,5,8,10,13],[2,5,7,9,10,11],[2,6,7,10,12,13],[2,6,8,9,10,12],[3,4,6,7,10,13],[3,4,6,8,10,11],[3,4,9,11,12,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,6,7,9,13],[4,5,7,8,9,12]];
G[6605]:=Group([(1,3)(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 6606: autom. group order 2, simple
B[6606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,6,9,10,12],[1,5,6,7,12,13],[1,5,7,10,11,12],[1,7,8,9,10,11],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,5,7,10,13],[2,4,5,8,11,12],[2,5,8,9,12,13],[2,6,7,8,9,11],[2,6,8,10,12,13],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,7,11,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[6606]:=Group([(1,11)(2,13)(3,4)(5,9)(8,12)]);
# Design 6607: autom. group order 2, simple
B[6607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,7,9,12,13],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,6,8,11,12],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,8,10,11,12],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[2,6,7,10,12,13],[3,4,6,7,10,12],[3,4,8,11,12,13],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[6607]:=Group([(1,11)(2,13)(3,4)(5,9)(6,10)(7,12)]);
# Design 6608: autom. group order 2, simple
B[6608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,7,8,9,11],[1,5,7,8,10,13],[1,6,8,10,11,12],[2,3,6,8,9,13],[2,3,8,10,11,12],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,5,6,7,12,13],[2,6,7,8,9,11],[2,7,9,10,12,13],[3,4,6,7,10,12],[3,4,7,8,11,13],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,9,11,13],[4,5,8,9,10,12]];
G[6608]:=Group([(1,11)(2,13)(3,4)(5,9)(6,10)]);
# Design 6609: autom. group order 2, simple
B[6609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,7,9,12,13],[1,4,6,9,10,12],[1,4,7,8,10,13],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[2,3,6,8,9,13],[2,3,6,8,11,12],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,5,7,9,12,13],[2,6,7,10,12,13],[2,7,8,9,10,11],[3,4,6,7,10,12],[3,4,8,11,12,13],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,8,9,10,12],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[6609]:=Group([(1,11)(2,13)(3,4)(5,9)(6,10)(7,12)]);
# Design 6610: autom. group order 2, simple
B[6610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,6,7,9,10],[1,4,8,10,12,13],[1,5,6,7,8,13],[1,5,7,8,9,11],[1,6,8,10,11,12],[2,3,6,8,9,13],[2,3,6,8,11,12],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,5,7,10,12,13],[2,6,7,9,12,13],[2,7,8,9,10,11],[3,4,6,7,10,12],[3,4,7,8,11,13],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,8,9,10,12],[4,5,6,8,9,12],[4,5,6,9,11,13]];
G[6610]:=Group([(1,11)(2,13)(3,4)(5,9)(6,10)]);
# Design 6611: autom. group order 2, simple
B[6611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,12],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,9,10,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,7,10,11,13],[2,3,6,9,10,12],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,5,9,11,13],[2,5,6,11,12,13],[2,6,7,8,9,13],[2,7,8,9,10,11],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,10,11,12,13],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,12]];
G[6611]:=Group([(1,10)(2,3)(4,12)(5,9)(7,13)]);
# Design 6612: autom. group order 2, simple
B[6612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,9,12,13],[1,3,8,10,11,12],[1,4,6,7,10,13],[1,4,9,11,12,13],[1,5,6,7,8,12],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,5,11,12,13],[2,5,6,9,10,12],[2,6,7,9,10,11],[2,7,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6612]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6613: autom. group order 2, simple
B[6613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,6,7,10,13],[1,4,9,11,12,13],[1,5,6,7,9,12],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,5,11,12,13],[2,5,6,9,10,12],[2,6,7,8,10,11],[2,7,8,9,12,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6613]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6614: autom. group order 2, simple
B[6614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,7,8,13],[2,4,5,10,12,13],[2,5,6,8,11,12],[2,6,7,9,11,13],[2,7,8,9,10,12],[3,4,6,8,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[6614]:=Group([(2,13)(3,8)(4,9)(5,6)(7,12)(10,11)]);
# Design 6615: autom. group order 2, simple
B[6615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,8,10,11,12],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,7,11,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,5,10,11,12],[2,5,6,8,9,11],[2,6,7,8,10,12],[2,7,9,10,11,13],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,8,9,10],[3,5,7,9,12,13],[4,5,6,10,11,13],[4,5,7,8,9,12]];
G[6615]:=Group([(1,8)(2,6)(3,9)(4,11)(12,13)]);
# Design 6616: autom. group order 2, simple, derived
B[6616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,6,7,10,13],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,5,8,12,13],[2,5,6,10,12,13],[2,6,7,8,9,11],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,5,6,7,9,13],[3,5,7,8,10,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[6616]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 6617: autom. group order 2, simple, derived
B[6617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,6,7,10,13],[1,4,8,9,10,13],[1,5,6,7,9,12],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,5,8,12,13],[2,5,6,10,12,13],[2,6,7,8,9,11],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[6617]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 6618: autom. group order 2, simple, derived
B[6618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,6,7,10,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,5,8,12,13],[2,5,6,9,10,13],[2,6,7,8,11,12],[2,7,9,10,12,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,7,8,13],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[6618]:=Group([(1,10)(3,9)(4,13)(8,12)]);
# Design 6619: autom. group order 2, simple, derived
B[6619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,7,8,10,13],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,6,7,8,12],[1,5,8,9,10,11],[1,6,7,10,11,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,5,8,10,11],[2,5,6,10,12,13],[2,6,7,8,9,11],[2,8,9,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,11,13]];
G[6619]:=Group([(1,13)(3,12)(4,10)(7,9)]);
# Design 6620: autom. group order 2, simple
B[6620]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,9,12,13],[1,3,7,10,11,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,6,7,8,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,7,8,10],[2,4,5,11,12,13],[2,5,6,9,10,13],[2,6,8,9,10,11],[2,7,8,9,12,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6620]:=Group([(1,10)(2,13)(5,11)(7,9)]);
# Design 6621: autom. group order 2, simple, derived
B[6621]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,7,8,9,13],[1,4,6,9,11,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,5,8,12,13],[2,5,6,9,10,13],[2,6,7,8,11,12],[2,8,9,10,11,13],[3,4,6,7,10,13],[3,4,6,10,11,12],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,12]];
G[6621]:=Group([(1,10)(3,9)(4,13)(7,11)]);
# Design 6622: autom. group order 2, simple, derived
B[6622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,6,10,12,13],[1,4,7,8,9,10],[1,5,6,7,8,13],[1,5,8,9,11,12],[1,6,7,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,5,8,12,13],[2,5,6,9,10,13],[2,6,7,8,11,12],[2,8,9,10,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[6622]:=Group([(1,10)(3,9)(4,13)(7,11)]);
# Design 6623: autom. group order 2, simple, derived
B[6623]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,10,11,12],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,5,8,10,11],[2,5,6,10,12,13],[2,6,7,8,9,11],[2,8,9,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[6623]:=Group([(1,13)(3,12)(4,10)(7,9)]);
# Design 6624: autom. group order 2, simple
B[6624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,8,9,11,13],[1,4,6,8,10,12],[1,4,7,10,12,13],[1,5,6,9,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[2,3,6,10,11,12],[2,3,7,9,10,12],[2,4,5,7,11,13],[2,4,5,8,10,13],[2,5,6,8,11,12],[2,6,8,9,10,13],[2,7,8,9,12,13],[3,4,6,7,8,9],[3,4,6,9,11,13],[3,4,10,11,12,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[6624]:=Group([(1,4)(2,12)(3,10)(5,13)(6,7)(9,11)]);
# Design 6625: autom. group order 2, simple
B[6625]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,10,12,13],[1,4,9,10,11,13],[1,5,6,7,9,12],[1,5,7,8,11,12],[1,6,7,8,10,13],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,7,12,13],[2,4,5,8,10,13],[2,5,6,9,11,13],[2,6,8,9,12,13],[2,7,8,9,10,11],[3,4,6,7,11,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,10,11,12],[3,5,7,9,10,13],[4,5,6,7,8,9],[4,5,8,10,11,12]];
G[6625]:=Group([(1,10)(2,9)(4,7)(6,13)(8,12)]);
# Design 6626: autom. group order 2, simple, derived
B[6626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,8,9,10,12],[1,4,6,7,8,11],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,7,8,12,13],[1,6,9,11,12,13],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,8,11,13],[2,4,5,10,12,13],[2,5,6,7,9,12],[2,6,7,8,9,10],[2,7,8,10,11,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,8,9,11,13],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[6626]:=Group([(2,6)(3,13)(4,11)(5,10)(7,9)(8,12)]);
# Design 6627: autom. group order 2, simple
B[6627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,6,11,12],[1,3,7,10,11,13],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,7,9,13],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,5,8,9,13],[2,5,6,10,11,13],[2,6,7,8,10,11],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,7,8,9,12],[3,5,8,11,12,13],[4,5,6,7,8,11],[4,5,9,10,11,12]];
G[6627]:=Group([(1,12)(2,8)(4,13)(6,11)(7,10)]);
# Design 6628: autom. group order 2, simple
B[6628]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,7,12,13],[1,4,6,7,9,13],[1,4,6,10,11,13],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,8,9,10,12,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,5,8,10,13],[2,5,6,9,11,13],[2,6,7,8,9,11],[2,6,7,8,10,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,9,10,11,13],[3,5,6,7,9,10],[3,5,7,11,12,13],[4,5,6,8,11,12],[4,5,7,9,10,12]];
G[6628]:=Group([(1,10)(2,11)(3,4)(5,13)(6,9)]);
# Design 6629: autom. group order 2, simple
B[6629]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,7,8,11],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,6,10,12,13],[1,5,8,9,10,11],[1,7,8,9,12,13],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,5,7,12,13],[2,4,5,8,11,13],[2,5,6,8,9,12],[2,6,7,9,11,13],[2,6,8,10,11,12],[3,4,6,9,11,12],[3,4,8,10,12,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[6629]:=Group([(1,5)(2,9)(3,10)(4,8)(6,11)]);
# Design 6630: autom. group order 2, simple, derived
B[6630]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,7,11,12],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,7,8,9,10,12],[2,3,6,8,9,10],[2,3,7,8,12,13],[2,4,5,7,10,12],[2,4,5,8,11,13],[2,5,6,9,12,13],[2,6,7,9,11,13],[2,6,8,10,11,12],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[6630]:=Group([(1,10)(2,13)(3,4)(5,12)(6,9)(7,11)]);
# Design 6631: autom. group order 2, simple
B[6631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,6,8,11,12],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,6,7,10,13],[1,5,8,9,10,11],[1,7,8,9,12,13],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,5,7,12,13],[2,4,5,8,11,13],[2,5,6,8,9,12],[2,6,7,8,10,11],[2,6,7,9,11,13],[3,4,6,7,9,11],[3,4,8,10,12,13],[3,4,9,10,11,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[6631]:=Group([(1,5)(2,9)(3,10)(4,8)(6,11)]);
# Design 6632: autom. group order 2, simple
B[6632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,12,13],[1,3,6,10,11,12],[1,4,6,7,10,13],[1,4,9,10,11,13],[1,5,6,7,9,13],[1,5,6,8,11,12],[1,7,8,9,10,12],[2,3,6,7,9,12],[2,3,6,10,11,13],[2,4,5,8,10,11],[2,4,5,9,12,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[2,6,8,10,12,13],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,7,8,11,13],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[6632]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 6633: autom. group order 2, simple, derived
B[6633]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,12,13],[1,3,6,10,11,12],[1,4,6,7,10,13],[1,4,9,10,11,13],[1,5,6,7,8,13],[1,5,6,9,11,12],[1,7,8,9,10,12],[2,3,6,7,9,12],[2,3,6,10,11,13],[2,4,5,8,10,11],[2,4,5,9,12,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[2,6,8,10,12,13],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,7,8,10,11],[3,5,7,9,11,13],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[6633]:=Group([(1,13)(3,12)(4,10)(6,7)]);
# Design 6634: autom. group order 2, simple
B[6634]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,7,11,13],[1,3,6,8,11,12],[1,4,6,8,9,10],[1,4,8,10,11,13],[1,5,6,7,10,12],[1,5,6,9,12,13],[1,7,8,9,10,13],[2,3,6,8,9,13],[2,3,6,10,11,13],[2,4,5,7,10,13],[2,4,5,8,9,12],[2,5,8,10,11,12],[2,6,7,8,12,13],[2,6,7,9,10,11],[3,4,6,7,10,12],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,7,8,9,11],[3,5,8,10,12,13],[4,5,6,7,8,11],[4,5,6,9,11,13]];
G[6634]:=Group([(1,12)(2,5)(3,8)(4,10)(6,11)(7,13)]);
# Design 6635: autom. group order 2, simple
B[6635]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,6,7,9,12],[1,5,6,8,10,13],[1,7,8,9,10,11],[2,3,6,7,9,10],[2,3,8,10,12,13],[2,4,5,8,9,12],[2,4,5,10,11,13],[2,5,6,7,11,13],[2,6,7,8,12,13],[2,6,9,10,11,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6635]:=Group([(1,9)(2,13)(3,4)(5,12)(8,11)]);
# Design 6636: autom. group order 2, simple
B[6636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,8,12,13],[1,3,6,8,11,12],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,6,7,9,12],[1,5,6,10,11,13],[1,7,8,9,10,11],[2,3,6,7,9,10],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,5,9,11,12],[2,5,6,7,11,13],[2,6,7,8,12,13],[2,6,8,9,10,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[6636]:=Group([(1,9)(2,13)(3,4)(5,12)(8,11)]);
# Design 6637: autom. group order 2, simple
B[6637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,6,7,11,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,6,8,11,13],[1,7,8,9,10,11],[2,3,6,8,9,10],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,5,10,11,12],[2,5,6,9,11,13],[2,6,7,8,10,12],[2,6,7,9,12,13],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,8,10,11,13],[3,5,7,9,10,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6637]:=Group([(1,10)(2,13)(3,4)(5,12)(7,11)]);
# Design 6638: autom. group order 2, simple
B[6638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,6,7,11,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,6,7,8,13],[1,5,6,8,10,12],[1,7,8,9,10,11],[2,3,6,8,9,10],[2,3,7,8,12,13],[2,4,5,7,10,12],[2,4,5,8,11,13],[2,5,6,9,11,13],[2,6,7,9,12,13],[2,6,8,10,11,12],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,8,10,11,13],[3,5,7,9,10,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6638]:=Group([(1,10)(2,13)(3,4)(5,12)(7,11)]);
# Design 6639: autom. group order 2, simple
B[6639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,6,7,10,13],[1,4,9,11,12,13],[1,5,6,7,9,11],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,6,9,10,11],[2,4,5,8,10,11],[2,4,5,9,12,13],[2,5,6,8,12,13],[2,6,7,10,11,13],[2,7,8,9,10,12],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,7,8,11,12],[3,5,7,9,11,13],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[6639]:=Group([(1,13)(3,6)(4,12)(5,7)(9,11)]);
# Design 6640: autom. group order 2, simple, derived
B[6640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,10,11,12],[1,3,5,9,12,13],[1,3,6,10,11,13],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,6,7,8,13],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,6,11,12],[2,4,5,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,8,9,10,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,10,11,13]];
G[6640]:=Group([(2,11)(3,6)(4,10)(5,13)(7,12)(8,9)]);
# Design 6641: autom. group order 2, simple
B[6641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,6,8,11,12],[1,4,6,7,10,11],[1,4,7,8,9,13],[1,5,6,8,9,10],[1,5,10,11,12,13],[1,6,8,9,12,13],[2,3,6,9,10,13],[2,3,8,10,11,12],[2,4,5,6,12,13],[2,4,5,8,11,13],[2,5,7,8,9,12],[2,6,7,8,10,13],[2,6,7,9,11,12],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,10,12,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[6641]:=Group([(1,5)(2,9)(3,10)(4,8)(7,11)]);
# Design 6642: autom. group order 2, simple
B[6642]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,7,11,12],[1,3,6,8,11,13],[1,4,6,7,10,11],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,8,11,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,6,8,12],[2,4,5,10,11,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[6642]:=Group([(1,9)(2,10)(3,5)(4,8)(6,11)]);
# Design 6643: autom. group order 2, simple
B[6643]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,10,11,13],[1,3,6,7,9,11],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,8,9,12,13],[2,4,5,6,7,12],[2,4,5,8,10,13],[2,5,9,10,11,12],[2,6,7,8,9,10],[2,6,7,10,11,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,11]];
G[6643]:=Group([(1,3)(2,5)(4,10)(6,9)(7,11)(8,13)]);
# Design 6644: autom. group order 2, simple
B[6644]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,11,12,13],[1,3,6,7,8,11],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,6,7,8,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,9,12],[2,3,8,10,11,13],[2,4,5,6,10,13],[2,4,5,8,11,12],[2,5,7,8,12,13],[2,6,7,10,11,12],[2,6,8,9,11,13],[3,4,6,8,10,12],[3,4,7,9,11,13],[3,4,7,10,12,13],[3,5,6,9,12,13],[3,5,8,9,10,11],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6644]:=Group([(1,9)(2,10)(3,5)(4,8)(6,11)]);
# Design 6645: autom. group order 2, simple
B[6645]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,12,13],[1,3,6,7,9,13],[1,4,6,8,10,13],[1,4,8,9,11,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,6,9,10,11,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,6,7,11],[2,4,5,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,10],[2,6,7,8,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,4,7,11,12,13],[3,5,6,10,11,13],[3,5,7,8,9,11],[4,5,6,8,9,12],[4,5,7,9,10,13]];
G[6645]:=Group([(1,11)(2,10)(4,6)(5,8)(7,13)(9,12)]);
# Design 6646: autom. group order 2, simple
B[6646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,6,8,10,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,7,8,13],[2,4,5,10,11,12],[2,5,6,7,12,13],[2,6,7,8,9,11],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6646]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6647: autom. group order 2, simple
B[6647]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,7,8,9,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,6,10,12,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,5,7,12,13],[2,4,5,8,10,11],[2,5,6,7,8,13],[2,6,7,9,11,12],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6647]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6648: autom. group order 2, simple
B[6648]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,9,10,12,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,7,8,13],[1,5,6,8,9,11],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,8,9,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,5,6,10,12,13],[2,6,7,9,12,13],[2,6,8,9,10,11],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6648]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6649: autom. group order 2, simple
B[6649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,7,12,13],[1,5,6,8,9,11],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,5,7,8,11],[2,4,5,10,12,13],[2,5,6,8,10,13],[2,6,7,8,9,13],[2,6,9,10,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,5,8,9,10,12]];
G[6649]:=Group([(1,11)(2,13)(3,4)(5,9)(7,10)]);
# Design 6650: autom. group order 2, simple
B[6650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,5,7,11,13],[1,3,10,11,12,13],[1,4,6,7,9,13],[1,4,6,8,12,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,6,9,11,13],[2,4,5,7,10,12],[2,4,5,11,12,13],[2,5,6,8,9,13],[2,6,7,10,11,13],[2,7,8,9,11,12],[3,4,6,8,10,11],[3,4,7,8,9,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,7,8,12,13],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[6650]:=Group([(1,13)(3,6)(4,11)(5,9)(8,10)]);
# Design 6651: autom. group order 2, simple
B[6651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,6,9,10,11],[1,5,6,7,8,9],[1,5,7,8,11,12],[1,6,7,10,12,13],[2,3,6,7,11,12],[2,3,6,8,10,12],[2,4,5,7,8,13],[2,4,5,10,12,13],[2,5,6,9,11,13],[2,6,8,9,12,13],[2,7,8,9,10,11],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,9,12],[4,5,8,10,11,12]];
G[6651]:=Group([(1,10)(2,9)(4,7)(6,13)(8,12)]);
# Design 6652: autom. group order 2, simple, derived
B[6652]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,13],[1,3,8,10,12,13],[1,4,6,9,12,13],[1,4,7,8,11,12],[1,5,6,7,9,13],[1,5,6,10,11,12],[1,6,7,8,9,10],[2,3,6,7,11,13],[2,3,9,10,11,12],[2,4,5,6,8,10],[2,4,5,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[2,6,8,9,11,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[6652]:=Group([(1,10)(2,13)(5,12)(8,9)]);
# Design 6653: autom. group order 2, simple
B[6653]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,6,7,10,13],[1,4,7,8,12,13],[1,4,8,9,10,13],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,8,9,12],[3,4,5,8,9,12],[3,4,6,8,9,11],[3,4,10,11,12,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,7,9,13],[4,5,6,7,10,11]];
G[6653]:=Group([(2,10)(3,9)(4,8)(6,11)(7,13)]);
# Design 6654: autom. group order 2, simple, derived
B[6654]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,8,12],[1,3,6,10,11,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,8,9,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,8,10,11,12],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,13],[4,5,6,7,11,12]];
G[6654]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 6655: autom. group order 2, simple
B[6655]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,6,8,11,13],[1,4,8,10,12,13],[1,4,9,10,11,13],[1,5,6,8,9,10],[1,5,7,9,11,12],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,8,9,10,12],[2,4,5,7,8,13],[2,4,8,9,11,12],[2,5,6,10,11,13],[2,5,7,8,10,11],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,8,11,12,13],[3,6,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,9,13]];
G[6655]:=Group([(1,9)(4,12)(5,10)(6,8)(7,13)]);
# Design 6656: autom. group order 2, simple, derived
B[6656]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,5,7,8,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,9,10,12,13],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,7,8,9,11],[3,6,7,8,9,10],[4,5,6,7,10,13],[4,5,6,7,11,12]];
G[6656]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 6657: autom. group order 2, simple, derived
B[6657]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,8,9,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,6,10,11,13],[2,3,7,9,11,12],[2,4,5,7,8,10],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,6,7,11,13]];
G[6657]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6658: autom. group order 2, simple
B[6658]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,7,12,13],[1,4,7,8,10,11],[1,4,8,9,12,13],[1,5,6,10,11,13],[1,5,8,9,10,12],[1,6,7,9,10,12],[2,3,6,8,9,10],[2,3,10,11,12,13],[2,4,5,7,9,13],[2,4,8,10,12,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,8,10,11],[3,4,5,7,10,12],[3,4,6,9,11,12],[3,4,9,10,11,13],[3,5,7,8,11,12],[3,6,7,8,9,13],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[6658]:=Group([(2,9)(3,10)(4,12)(6,8)(11,13)]);
# Design 6659: autom. group order 2, simple
B[6659]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,6,7,10,11],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,6,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,11],[2,5,7,8,10,13],[2,6,8,9,10,12],[3,4,5,7,9,12],[3,4,6,8,10,13],[3,4,8,9,10,11],[3,5,7,10,11,12],[3,6,7,9,11,13],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[6659]:=Group([(1,8)(2,11)(3,9)(4,5)(7,12)]);
# Design 6660: autom. group order 2, simple, derived
B[6660]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,7,8,13],[1,5,7,10,11,12],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,7,9,11,12],[2,4,5,8,9,10],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,7,8,11,13],[3,5,8,9,11,12],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,6,9,11,13]];
G[6660]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6661: autom. group order 2, simple, derived
B[6661]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,9,12],[1,3,6,10,11,13],[1,4,7,9,10,11],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,5,7,8,11,12],[3,6,8,9,10,11],[4,5,6,7,9,13],[4,5,6,9,11,12]];
G[6661]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 6662: autom. group order 2, simple, derived
B[6662]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,5,9,12,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,7,11,12],[3,4,8,9,11,12],[3,5,9,10,11,12],[3,6,7,8,9,10],[4,5,6,7,10,13],[4,5,6,8,9,10]];
G[6662]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 6663: autom. group order 2, simple
B[6663]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,10,11,13],[1,3,6,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,12,13],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,12]];
G[6663]:=Group([(2,10)(3,5)(4,11)(6,13)(7,12)]);
# Design 6664: autom. group order 2, simple, derived
B[6664]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,6,11,12,13],[1,4,7,8,10,13],[1,4,9,10,11,12],[1,5,6,7,10,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,9,10,12,13],[3,5,7,9,10,11],[3,6,7,8,10,11],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[6664]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6665: autom. group order 2, simple, derived
B[6665]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,10,11,12],[1,3,6,8,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,7,8,12],[1,5,8,9,11,13],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,8,9,11,12],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,9,10,12],[3,4,5,7,9,13],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,5,7,9,11,12],[3,6,7,8,9,10],[4,5,6,8,10,13],[4,5,6,10,11,12]];
G[6665]:=Group([(2,11)(3,13)(4,9)(5,7)]);
# Design 6666: autom. group order 2, simple
B[6666]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,10,11,13],[1,3,6,9,12,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,12,13],[2,3,6,8,11,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,7,9,10,13],[2,5,6,7,8,10],[2,5,7,11,12,13],[2,6,9,10,11,12],[3,4,5,7,11,12],[3,4,6,7,10,12],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,8,9,11],[4,5,6,8,10,13]];
G[6666]:=Group([(2,10)(3,5)(4,11)(6,13)(7,12)]);
# Design 6667: autom. group order 2, simple
B[6667]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,12],[1,3,5,10,11,13],[1,3,6,8,9,13],[1,4,7,8,9,10],[1,4,8,10,11,13],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,7,8,12,13],[2,3,6,7,11,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,7,8,9,12],[3,6,8,10,11,12],[4,5,6,7,9,11],[4,5,6,7,10,13]];
G[6667]:=Group([(2,10)(3,5)(4,11)(6,13)(8,12)]);
# Design 6668: autom. group order 2, simple
B[6668]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,7,10,12,13],[1,4,8,9,11,12],[1,5,6,10,11,13],[1,5,7,8,9,13],[1,6,7,8,9,10],[2,3,6,7,11,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,12],[2,6,9,10,12,13],[3,4,5,9,10,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,7,8,10,11],[3,6,8,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[6668]:=Group([(1,11)(2,10)(3,8)(4,5)(9,13)]);
# Design 6669: autom. group order 2, simple
B[6669]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,7,9,10,13],[1,4,8,10,11,13],[1,5,6,9,10,11],[1,5,7,8,10,12],[1,6,7,8,9,12],[2,3,6,7,10,11],[2,3,8,9,10,12],[2,4,5,8,10,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,7,11,12,13],[2,6,9,10,12,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,7,8,9,11],[3,6,8,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6669]:=Group([(1,11)(2,9)(3,8)(4,5)(10,12)]);
# Design 6670: autom. group order 2, simple
B[6670]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,12],[1,3,5,10,11,13],[1,3,6,9,12,13],[1,4,7,8,9,10],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,7,8,12,13],[2,3,6,8,10,12],[2,3,7,8,11,13],[2,4,5,7,9,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,9,11,12,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6670]:=Group([(2,10)(3,5)(4,11)(6,13)(8,12)]);
# Design 6671: autom. group order 2, simple
B[6671]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,6,8,9,11],[1,4,7,8,10,13],[1,4,8,9,12,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,6,8,10,13],[2,3,7,10,11,12],[2,4,5,7,9,12],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,9,10,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,6,7,9,11,13],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[6671]:=Group([(2,8)(3,7)(5,10)(6,13)(9,11)]);
# Design 6672: autom. group order 2, simple
B[6672]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,11,12,13],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,6,7,8,12],[1,5,7,8,9,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,3,7,9,10,13],[2,4,5,7,10,12],[2,4,8,9,11,12],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,6,10,12,13],[3,4,7,8,9,12],[3,5,8,9,10,11],[3,6,7,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[6672]:=Group([(1,6)(2,11)(3,7)(4,9)(5,10)(8,12)]);
# Design 6673: autom. group order 2, simple
B[6673]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,11,12,13],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,9,10,11],[3,4,6,7,8,13],[3,4,7,9,11,12],[3,5,8,11,12,13],[3,6,8,9,10,12],[4,5,6,7,9,12],[4,5,6,10,11,13]];
G[6673]:=Group([(1,7)(2,12)(3,9)(4,5)(10,11)]);
# Design 6674: autom. group order 2, simple
B[6674]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,10,11,13],[1,3,5,11,12,13],[1,3,6,7,12,13],[1,4,7,8,9,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,11],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,3,7,9,11,12],[2,4,5,7,10,12],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,9,10,13],[3,4,6,8,10,11],[3,4,8,9,11,12],[3,5,7,8,10,12],[3,6,7,10,11,13],[4,5,6,7,9,11],[4,5,6,9,12,13]];
G[6674]:=Group([(2,8)(3,7)(5,9)(6,13)(10,11)]);
# Design 6675: autom. group order 2, simple
B[6675]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,10,11,13],[1,3,5,11,12,13],[1,3,6,7,9,12],[1,4,7,8,11,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,10,12,13],[2,3,6,8,11,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,8,10,12,13],[3,4,5,8,10,13],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,7,10,11,12],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6675]:=Group([(1,11)(2,10)(3,7)(4,5)(8,12)]);
# Design 6676: autom. group order 2, simple
B[6676]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,11,13],[1,3,6,7,12,13],[1,4,7,9,10,13],[1,4,9,10,11,12],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,11,12,13],[2,3,9,10,11,12],[2,4,5,8,10,13],[2,4,6,8,9,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,6,7,8,9,10],[4,5,6,7,9,11],[4,5,7,8,11,12]];
G[6676]:=Group([(1,2)(3,4)(5,6)(7,8)(9,11)(10,12)]);
# Design 6677: autom. group order 2, simple
B[6677]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,6,7,11,13],[1,4,7,9,10,13],[1,4,9,10,11,12],[1,5,6,8,10,12],[1,5,8,10,11,13],[1,6,8,9,12,13],[2,3,8,11,12,13],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,6,8,10,13],[2,5,6,7,10,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,6,7,8,9,10],[4,5,6,7,9,11],[4,5,7,8,11,12]];
G[6677]:=Group([(1,2)(3,4)(5,6)(7,8)(9,11)(10,12)]);
# Design 6678: autom. group order 2, simple
B[6678]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,6,7,10,13],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,6,8,10,11],[1,5,7,9,11,12],[1,6,8,9,12,13],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,6,7,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[6678]:=Group([(1,7)(2,8)(5,12)(6,10)(9,11)]);
# Design 6679: autom. group order 2, simple
B[6679]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,10,12],[1,3,6,8,11,13],[1,4,7,9,12,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,5,7,8,12,13],[1,6,8,9,10,12],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,10,12,13],[3,5,6,7,8,9],[3,6,7,9,11,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[6679]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6680: autom. group order 2, simple, derived
B[6680]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,12,13],[1,3,5,7,11,12],[1,3,6,10,12,13],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,9,11,12,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,6,7,8,9,11],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[6680]:=Group([(1,10)(3,9)(4,12)(6,8)]);
# Design 6681: autom. group order 2, simple, derived
B[6681]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,7,8,9,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,6,9,11,12,13],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[6681]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 6682: autom. group order 2, simple
B[6682]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,11,12],[1,3,5,7,10,13],[1,3,6,8,12,13],[1,4,7,9,12,13],[1,4,9,10,11,13],[1,5,6,11,12,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,9,10,13],[3,4,5,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,6,7,8,9,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6682]:=Group([(1,12)(2,10)(5,11)(7,9)]);
# Design 6683: autom. group order 2, simple
B[6683]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,8,10,11],[2,4,6,7,10,13],[2,5,6,9,12,13],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,5,9,10,13],[3,4,6,11,12,13],[3,4,8,10,12,13],[3,5,6,7,8,11],[3,6,7,9,10,11],[4,5,6,7,8,9],[4,5,7,9,11,12]];
G[6683]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6684: autom. group order 2, simple
B[6684]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,6,8,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,6,7,10,13],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,9,10,11],[3,4,6,9,11,12],[3,4,8,10,12,13],[3,5,6,7,8,9],[3,6,7,10,11,13],[4,5,6,7,8,11],[4,5,7,9,12,13]];
G[6684]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6685: autom. group order 2, simple
B[6685]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,11,13],[1,3,6,8,10,13],[1,4,7,9,10,13],[1,4,9,10,11,12],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,11,12,13],[2,3,8,11,12,13],[2,3,9,10,11,12],[2,4,5,7,12,13],[2,4,6,8,9,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,7,9,11],[3,6,7,8,9,12],[4,5,6,8,9,11],[4,5,7,8,10,11]];
G[6685]:=Group([(1,8)(2,7)(5,12)(6,10)]);
# Design 6686: autom. group order 2, simple, derived
B[6686]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,11],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,8,9,11,13],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,5,6,8,10,11],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,5,9,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,10,11,13],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[6686]:=Group([(1,7)(2,8)(5,11)(6,10)(9,12)]);
# Design 6687: autom. group order 2, simple
B[6687]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,6,8,11,13],[1,4,8,9,12,13],[1,4,9,10,11,12],[1,5,6,7,10,12],[1,5,8,9,10,13],[1,6,7,10,11,13],[2,3,7,10,11,13],[2,3,9,10,11,12],[2,4,5,7,9,13],[2,4,6,8,10,13],[2,5,6,8,10,12],[2,5,8,11,12,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,7,8,10,11]];
G[6687]:=Group([(1,7)(2,8)(5,12)(6,10)]);
# Design 6688: autom. group order 2, simple
B[6688]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,6,8,12,13],[1,4,8,9,10,12],[1,4,10,11,12,13],[1,5,6,8,10,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,6,7,8,9,12],[4,5,6,9,11,12],[4,5,7,8,9,13]];
G[6688]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6689: autom. group order 2, simple
B[6689]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,6,8,9,13],[1,4,8,9,10,13],[1,4,9,10,11,12],[1,5,6,8,11,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,8,11,12,13],[2,3,9,10,11,12],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,5,6,8,9,10],[2,5,7,8,10,12],[2,6,7,9,12,13],[3,4,5,7,9,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,10,11,13],[3,6,7,8,9,11],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[6689]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6690: autom. group order 2, simple
B[6690]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,6,8,12,13],[1,4,8,9,10,12],[1,4,10,11,12,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,6,7,8,9,12],[4,5,6,9,11,12],[4,5,7,8,9,13]];
G[6690]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6691: autom. group order 2, simple
B[6691]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,6,8,11,13],[1,4,8,10,11,12],[1,4,9,10,11,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,8,9,10,12],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,5,6,8,10,11],[2,5,7,10,11,12],[2,6,7,8,12,13],[3,4,5,7,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,10,11,13],[3,6,7,8,9,11],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[6691]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6692: autom. group order 2, simple
B[6692]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,6,7,9,13],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,6,7,8,10],[1,5,8,9,11,12],[1,6,8,10,12,13],[2,3,7,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,9,12,13],[3,6,7,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[6692]:=Group([(1,7)(2,8)(5,12)(6,9)(10,11)]);
# Design 6693: autom. group order 2, simple
B[6693]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,7,10,12],[1,4,7,9,10,13],[1,4,8,9,11,12],[1,5,6,10,11,13],[1,5,7,8,12,13],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,6,8,9,13],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,8,10,12,13],[3,5,6,7,8,9],[3,6,7,9,11,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[6693]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6694: autom. group order 2, simple
B[6694]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,6,8,9,10],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,8,10,12,13],[3,5,6,7,8,9],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,7,9,11,12]];
G[6694]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6695: autom. group order 2, simple
B[6695]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,12],[1,3,6,7,10,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,7,9,10,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,6,8,9,10],[2,5,6,10,11,13],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,8,10,12,13],[3,5,6,7,8,11],[3,6,7,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[6695]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6696: autom. group order 2, simple
B[6696]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,7,10,11,12],[1,4,8,9,11,13],[1,5,6,9,10,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,7,9,10,12],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,6,8,10,13],[2,5,6,11,12,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,9,10,11],[3,4,8,10,12,13],[3,5,6,7,8,11],[3,6,7,10,11,13],[4,5,6,7,8,9],[4,5,7,9,12,13]];
G[6696]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6697: autom. group order 2, simple, derived
B[6697]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,8,9,10,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,6,10,12,13],[2,5,6,7,8,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,7,8,11,12],[3,5,6,7,10,11],[3,6,9,10,11,12],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[6697]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 6698: autom. group order 2, simple
B[6698]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,6,8,9,10],[2,5,6,9,12,13],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,8,10,12,13],[3,5,6,7,8,9],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,7,9,11,12]];
G[6698]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6699: autom. group order 2, simple
B[6699]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,11,12,13],[1,3,5,11,12,13],[1,3,6,7,10,12],[1,4,7,8,10,12],[1,4,8,9,11,13],[1,5,6,8,10,11],[1,5,9,10,12,13],[1,6,7,8,9,13],[2,3,7,9,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,6,8,9,11,12],[4,5,6,7,11,12],[4,5,7,9,10,11]];
G[6699]:=Group([(1,12)(2,9)(4,8)(5,11)(7,10)]);
# Design 6700: autom. group order 2, simple, derived
B[6700]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,10,12,13],[1,3,6,7,9,12],[1,4,8,9,12,13],[1,4,9,10,11,13],[1,5,6,8,11,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,6,8,9,10,11],[4,5,6,7,9,10],[4,5,7,9,11,12]];
G[6700]:=Group([(1,2)(3,4)(5,6)(7,8)(9,11)(10,12)]);
# Design 6701: autom. group order 2, simple
B[6701]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,7,11,12],[1,4,8,9,10,12],[1,4,10,11,12,13],[1,5,6,8,10,13],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,6,8,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,6,7,8,9,13],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[6701]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6702: autom. group order 2, simple
B[6702]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,7,12,13],[1,4,8,9,10,12],[1,4,9,10,11,13],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,8,10,11,12],[2,3,9,11,12,13],[2,4,5,7,10,13],[2,4,6,8,9,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,7,9,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,9,10,13],[3,6,7,8,9,11],[4,5,6,11,12,13],[4,5,7,8,9,11]];
G[6702]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6703: autom. group order 2, simple
B[6703]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,7,12,13],[1,4,8,10,11,13],[1,4,9,10,11,12],[1,5,6,8,9,10],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,3,9,10,11,12],[2,4,5,7,10,13],[2,4,6,8,9,13],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,7,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,10,11,13],[3,6,7,8,9,11],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[6703]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6704: autom. group order 2, simple
B[6704]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,7,10,12],[1,4,8,9,10,13],[1,4,10,11,12,13],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,6,7,9,11,12],[2,3,8,9,11,12],[2,3,10,11,12,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,8,10,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,6,7,8,9,13],[4,5,6,9,10,12],[4,5,7,8,9,12]];
G[6704]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6705: autom. group order 2, simple
B[6705]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,7,9,10,12],[1,4,8,10,11,12],[1,5,6,7,8,11],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,8,9,11,12],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,5,7,8,9,13]];
G[6705]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6706: autom. group order 2, simple
B[6706]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,8,11],[1,5,7,9,11,13],[1,6,8,10,11,12],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,11],[3,5,6,9,11,12],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,9,12]];
G[6706]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6707: autom. group order 2, simple
B[6707]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,8,10],[1,5,7,9,11,13],[1,6,8,10,11,12],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,11],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,6,7,8,9,13],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[6707]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6708: autom. group order 2, simple
B[6708]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,11,12],[1,3,6,8,12,13],[1,4,7,9,11,13],[1,4,10,11,12,13],[1,5,6,7,10,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,7,9,10,12],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,6,7,8,9,13],[4,5,6,9,10,12],[4,5,7,8,9,12]];
G[6708]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6709: autom. group order 2, simple
B[6709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,11],[1,5,8,9,11,12],[1,6,7,10,11,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,6,7,8,9,12],[4,5,6,9,10,12],[4,5,7,8,9,13]];
G[6709]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6710: autom. group order 2, simple
B[6710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,11,12],[1,6,7,10,11,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,6,7,8,9,12],[4,5,6,9,11,12],[4,5,7,8,9,13]];
G[6710]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6711: autom. group order 2, simple
B[6711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,7,10,11,12],[1,4,8,9,10,12],[1,5,6,7,8,11],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,10,11,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,5,7,8,9,13]];
G[6711]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6712: autom. group order 2, simple
B[6712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,8,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,10,11,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,6,7,8,9,13],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[6712]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6713: autom. group order 2, simple
B[6713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,5,8,11,12],[1,3,6,8,12,13],[1,4,7,9,10,12],[1,4,10,11,12,13],[1,5,6,7,10,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,7,9,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,6,7,8,9,13],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[6713]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 6714: autom. group order 2, simple
B[6714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,6,8,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,10,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,5,7,9,11],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,6,9,10,11,13],[4,5,6,10,11,12],[4,5,7,8,11,13]];
G[6714]:=Group([(2,9)(3,10)(4,8)(6,12)(7,11)]);
# Design 6715: autom. group order 2, simple
B[6715]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,12],[1,3,6,8,12,13],[1,4,7,8,9,10],[1,4,9,11,12,13],[1,5,6,8,9,13],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,7,8,11,12],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,7,11,13],[3,4,6,7,9,13],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,6,8,9,10,11],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[6715]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6716: autom. group order 2, simple
B[6716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,10,11,12],[1,3,6,8,12,13],[1,4,7,8,9,12],[1,4,9,10,11,13],[1,5,6,8,11,13],[1,5,7,10,12,13],[1,6,7,8,9,10],[2,3,7,8,10,11],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,7,9,13],[3,4,6,7,11,13],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,6,8,9,10,11],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[6716]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6717: autom. group order 2, simple
B[6717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,10,12,13],[1,4,7,8,9,10],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,7,8,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,7,9,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,7,9,13],[3,6,8,9,11,12],[4,5,6,7,11,13],[4,5,8,9,10,11]];
G[6717]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6718: autom. group order 2, simple
B[6718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,11,13],[1,3,6,10,12,13],[1,4,7,8,10,11],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,7,8,9,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,6,8,9,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[6718]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 6719: autom. group order 2, simple
B[6719]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,11,12,13],[1,3,5,7,11,13],[1,3,6,8,10,12],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,7,8,13],[3,4,7,9,11,12],[3,5,6,11,12,13],[3,6,8,9,10,11],[4,5,6,7,9,12],[4,5,8,10,12,13]];
G[6719]:=Group([(1,7)(2,12)(3,9)(4,5)(10,11)]);
# Design 6720: autom. group order 2, simple
B[6720]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,6,7,10,13],[1,4,7,8,12,13],[1,4,8,9,10,13],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,12],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,7,9,13],[4,5,7,10,11,12]];
G[6720]:=Group([(2,10)(3,9)(4,8)(6,11)(7,13)]);
# Design 6721: autom. group order 2, simple
B[6721]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,12,13],[1,3,5,7,10,12],[1,3,6,11,12,13],[1,4,7,9,12,13],[1,4,8,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,9,10,11,12],[2,3,8,9,11,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,7,10,11,12],[2,5,6,7,11,12],[2,5,6,8,12,13],[2,6,7,8,9,10],[3,4,5,8,11,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,9,13],[4,5,8,9,10,12]];
G[6721]:=Group([(1,7)(2,13)(3,9)(8,12)(10,11)]);
# Design 6722: autom. group order 2, simple, derived
B[6722]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,12,13],[1,3,6,7,10,13],[1,4,7,8,9,10],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,8,11,12],[1,6,9,10,11,12],[2,3,7,10,11,12],[2,3,8,11,12,13],[2,4,5,8,9,12],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,6,8,10,13],[2,6,7,8,9,13],[3,4,5,7,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6722]:=Group([(1,3)(2,5)(4,9)(6,10)(7,13)(8,12)]);
# Design 6723: autom. group order 2, simple, derived
B[6723]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,8,9,10,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,7,8,12,13],[2,5,6,7,8,11],[2,5,6,7,10,13],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[6723]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 6724: autom. group order 2, simple
B[6724]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,10,11,13],[1,3,6,7,9,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,9,12,13],[1,5,8,10,11,12],[1,6,7,8,12,13],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[6724]:=Group([(2,10)(3,5)(4,11)(6,13)(7,12)]);
# Design 6725: autom. group order 2, simple, derived
B[6725]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,7,8,9,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,6,8,10,11],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,5,9,10,11,12],[3,6,7,8,10,11],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[6725]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 6726: autom. group order 2, simple
B[6726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,8,9,13],[1,3,6,10,11,12],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,6,7,12,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,12],[2,4,7,9,10,11],[2,5,6,7,10,13],[2,5,6,8,10,11],[2,6,8,9,12,13],[3,4,5,7,11,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,5,9,10,11,12],[3,6,7,8,9,11],[4,5,6,9,11,13],[4,5,7,8,10,12]];
G[6726]:=Group([(1,3)(2,5)(4,9)(6,10)(7,13)]);
# Design 6727: autom. group order 2, simple, derived
B[6727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,11,12],[1,3,7,8,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,9],[3,6,7,9,11,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6727]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 6728: autom. group order 2, simple
B[6728]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,11,12],[1,3,5,7,12,13],[1,3,7,10,11,12],[1,4,6,8,10,13],[1,4,9,11,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,7,10,13],[2,4,7,9,12,13],[2,5,6,11,12,13],[2,5,8,9,10,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,6,7,8,9,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6728]:=Group([(1,10)(2,12)(5,11)(7,9)]);
# Design 6729: autom. group order 2, simple, derived
B[6729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,9,10,12,13],[1,5,6,8,10,11],[1,5,7,9,11,12],[1,6,8,9,12,13],[2,3,6,7,9,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,6,7,8,11,12],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[6729]:=Group([(1,7)(2,8)(5,12)(6,10)(9,11)]);
# Design 6730: autom. group order 2, simple, derived
B[6730]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,9],[3,6,7,9,11,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6730]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 6731: autom. group order 2, simple, derived
B[6731]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,11],[1,3,5,7,11,13],[1,3,9,11,12,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,10,13],[3,6,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[6731]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 6732: autom. group order 2, simple
B[6732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,11,12],[1,3,8,11,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,9],[3,6,7,9,11,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6732]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 6733: autom. group order 2, simple
B[6733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,8,9,10,11],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,9,11,12],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,5,9,10,12],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[6733]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 6734: autom. group order 2, simple, derived
B[6734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,10,11,13],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,6,9,11,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,7,8,9,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,6,7,8,13],[4,5,7,9,10,12]];
G[6734]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 6735: autom. group order 2, simple
B[6735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,6,8,9,13],[1,4,7,8,9,10],[1,5,6,9,12,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,9,10,12,13],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,9,11,12,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,7,10,13],[4,5,7,8,11,13]];
G[6735]:=Group([(2,11)(3,10)(4,12)(5,8)(9,13)]);
# Design 6736: autom. group order 2, simple
B[6736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,10,12],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,5,8,9,11,13],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,8,9,10,12],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,8,11],[3,6,8,9,10,13],[4,5,6,7,10,13],[4,5,7,8,9,12]];
G[6736]:=Group([(1,7)(2,8)(3,4)(5,9)(6,11)(10,12)]);
# Design 6737: autom. group order 2, simple
B[6737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,9,10,11,13],[1,5,6,7,10,11],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,3,8,10,11,12],[2,4,5,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,9,11,12],[3,4,7,8,9,10],[3,5,6,10,12,13],[3,6,7,9,10,11],[4,5,6,8,9,13],[4,5,7,8,11,12]];
G[6737]:=Group([(1,7)(3,13)(4,9)(5,12)(8,11)]);
# Design 6738: autom. group order 2, simple, derived
B[6738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,10,11,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,7,8,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,6,8,9,11,12],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[6738]:=Group([(1,13)(3,12)(4,10)(6,8)]);
# Design 6739: autom. group order 2, simple, derived
B[6739]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,7,12,13],[1,3,9,10,11,12],[1,4,6,8,10,13],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,8,11,13],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,7,8,9,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,8,9],[3,6,8,9,11,12],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[6739]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 6740: autom. group order 2, simple
B[6740]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,12],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,11,12,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,9,10,12,13],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,7,8,12,13],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,6,7,8,10,11],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[6740]:=Group([(1,9)(2,8)(3,11)(4,5)(7,13)]);
# Design 6741: autom. group order 2, simple
B[6741]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,12,13],[1,3,5,11,12,13],[1,3,7,8,11,12],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,7,10,11],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,9,10,12,13],[2,4,5,11,12,13],[2,4,7,9,11,12],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,8,10,11,13],[3,4,5,8,10,12],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,6,7,9,11,12],[4,5,6,7,10,12],[4,5,7,8,9,13]];
G[6741]:=Group([(1,9)(2,13)(3,7)(4,5)(6,8)]);
# Design 6742: autom. group order 2, simple
B[6742]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,11,12,13],[1,3,7,8,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,8,9],[3,6,7,9,11,13],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[6742]:=Group([(1,10)(2,12)(3,6)(5,8)]);
# Design 6743: autom. group order 2, simple
B[6743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,7,8,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,6,10,11,13],[1,5,7,8,9,12],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,8,9,10,11],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,8,10,12,13],[2,6,8,9,11,12],[3,4,5,9,10,12],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,7,8,10,11]];
G[6743]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 6744: autom. group order 2, simple
B[6744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,9,10,13],[1,4,8,9,10,11],[1,5,6,7,8,11],[1,5,7,8,9,12],[1,6,8,10,12,13],[2,3,6,7,8,13],[2,3,8,9,10,11],[2,4,5,9,12,13],[2,4,8,11,12,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,9,11,13],[3,6,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[6744]:=Group([(1,11)(2,7)(3,10)(4,5)(8,12)(9,13)]);
# Design 6745: autom. group order 2, simple, derived
B[6745]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,10,12,13],[1,3,7,8,9,13],[1,4,6,8,10,12],[1,4,9,11,12,13],[1,5,6,7,11,13],[1,5,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,8,11,12],[3,5,6,8,9,11],[3,6,7,9,10,11],[4,5,6,7,9,12],[4,5,8,9,10,13]];
G[6745]:=Group([(1,12)(3,6)(4,13)(5,8)]);
# Design 6746: autom. group order 2, simple, derived
B[6746]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,10,12,13],[1,3,7,8,11,13],[1,4,6,8,10,12],[1,4,9,11,12,13],[1,5,6,7,9,13],[1,5,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,7,8,9,12],[3,5,6,8,9,11],[3,6,7,9,10,11],[4,5,6,7,11,12],[4,5,8,9,10,13]];
G[6746]:=Group([(1,12)(3,6)(4,13)(5,8)]);
# Design 6747: autom. group order 2, simple, derived
B[6747]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,7,10,12],[1,5,7,8,10,11],[1,6,8,9,11,13],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,5,6,7,8,9],[2,5,8,10,12,13],[2,6,7,10,12,13],[3,4,5,7,8,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,6,7,8,9,12],[4,5,6,7,11,13],[4,5,8,9,11,12]];
G[6747]:=Group([(1,13)(3,12)(4,10)(6,8)]);
# Design 6748: autom. group order 2, simple, derived
B[6748]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,11],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,9,11,12,13],[2,5,6,7,8,12],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,10,13],[4,5,7,8,9,10]];
G[6748]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 6749: autom. group order 2, simple
B[6749]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,6,11,12,13],[1,4,8,9,10,13],[1,5,6,7,9,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,5,6,9,10,12],[3,6,8,9,11,13],[4,5,6,7,8,10],[4,5,7,9,10,11]];
G[6749]:=Group([(1,12)(3,13)(4,5)(6,8)]);
# Design 6750: autom. group order 2, simple, derived
B[6750]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,11,12,13],[1,3,5,7,11,13],[1,3,7,8,12,13],[1,4,6,8,10,11],[1,4,7,9,10,12],[1,5,6,10,12,13],[1,5,7,8,9,11],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[6750]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 6751: autom. group order 2, simple
B[6751]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,7,10,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,8,12,13],[1,6,7,9,11,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,12],[2,5,6,8,9,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,5,6,7,9,10],[3,6,8,10,11,12],[4,5,6,10,12,13],[4,5,7,9,11,12]];
G[6751]:=Group([(1,11)(2,10)(4,8)(5,12)(9,13)]);
# Design 6752: autom. group order 2, simple, derived
B[6752]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,8,10,11],[1,4,7,9,10,12],[1,5,6,7,12,13],[1,5,7,8,9,11],[1,6,8,9,10,13],[2,3,6,7,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,9,10,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[6752]:=Group([(1,9)(2,13)(3,6)(5,8)]);
# Design 6753: autom. group order 2, simple
B[6753]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,12],[1,3,5,7,9,13],[1,3,8,11,12,13],[1,4,7,10,11,13],[1,4,9,10,12,13],[1,5,6,8,10,11],[1,5,6,8,12,13],[1,6,7,8,9,10],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,5,9,10,11,12],[3,6,7,8,9,11],[4,5,6,9,11,13],[4,5,7,8,10,12]];
G[6753]:=Group([(1,3)(2,5)(4,9)(6,10)(8,13)]);
# Design 6754: autom. group order 2, simple
B[6754]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,7,8,10,12],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,7,8,13],[1,5,6,9,10,13],[1,6,8,9,11,12],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,7,9,12,13],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,6,8,11,13],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,6,7,10,11],[4,5,8,10,12,13]];
G[6754]:=Group([(1,7)(2,10)(3,11)(8,13)(9,12)]);
# Design 6755: autom. group order 2, simple
B[6755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,11,12],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,7,10,11,13],[1,4,8,9,10,12],[1,5,6,7,8,13],[1,5,6,8,10,12],[1,6,9,11,12,13],[2,3,6,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[6755]:=Group([(1,7)(2,10)(3,11)(8,13)(9,12)]);
# Design 6756: autom. group order 2, simple, derived
B[6756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,7,8,10,13],[1,4,7,9,11,12],[1,5,6,7,10,13],[1,5,6,8,11,12],[1,6,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,9,10,11],[3,6,7,8,10,11],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[6756]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6757: autom. group order 2, simple
B[6757]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,5,9,11,13],[1,3,8,10,12,13],[1,4,7,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,6,8,10,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,8,10,11],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,8,9,12,13],[3,4,5,8,9,12],[3,4,6,7,9,13],[3,4,6,8,11,13],[3,5,7,11,12,13],[3,6,7,9,10,12],[4,5,6,9,10,11],[4,5,7,8,10,11]];
G[6757]:=Group([(2,12)(3,10)(5,13)(6,11)(8,9)]);
# Design 6758: autom. group order 2, simple, derived
B[6758]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,7,8,10,13],[1,4,9,10,11,12],[1,5,6,7,10,13],[1,5,6,8,11,12],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,5,7,9,10,11],[3,6,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,10,12]];
G[6758]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6759: autom. group order 2, simple
B[6759]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,9,11,12],[1,5,8,10,11,13],[1,7,8,9,10,13],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[6759]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 6760: autom. group order 2, simple
B[6760]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,6,7,12,13],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,8,9,10,11,12],[2,3,6,8,11,12],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,9,10,12],[3,4,7,8,9,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,6,8,9,10,13],[4,5,6,7,10,11],[4,5,6,8,11,12]];
G[6760]:=Group([(1,9)(2,8)(3,6)(4,10)(5,13)]);
# Design 6761: autom. group order 2, simple
B[6761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,6,7,10,12],[1,4,6,8,11,13],[1,5,7,10,12,13],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,6,8,12,13],[2,3,7,8,10,12],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,10,11,12],[2,5,7,8,11,13],[2,6,7,9,11,12],[3,4,5,7,9,11],[3,4,7,11,12,13],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,6,8,9,10,11],[4,5,6,7,8,10],[4,5,6,8,9,12]];
G[6761]:=Group([(1,8)(4,7)(5,12)(6,10)(9,13)]);
# Design 6762: autom. group order 2, simple, derived
B[6762]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,7,10,13],[1,3,6,8,12,13],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,5,8,9,11,13],[1,7,8,9,12,13],[2,3,7,9,11,13],[2,3,10,11,12,13],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[6762]:=Group([(2,13)(3,8)(4,12)(5,9)(6,7)(10,11)]);
# Design 6763: autom. group order 2, simple
B[6763]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,9,12,13],[1,3,5,7,12,13],[1,3,6,8,10,12],[1,4,6,8,11,13],[1,4,6,10,11,12],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,7,8,9,10,13],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,6,7,8,12,13],[3,4,5,11,12,13],[3,4,6,7,9,13],[3,4,9,10,12,13],[3,5,6,7,8,11],[3,6,7,9,10,11],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[6763]:=Group([(1,6)(3,13)(4,12)(5,9)(10,11)]);
# Design 6764: autom. group order 2, simple
B[6764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,9,12,13],[1,3,5,7,12,13],[1,3,6,8,11,12],[1,4,6,8,10,13],[1,4,6,10,11,12],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,7,9,10,11,13],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,6,7,8,12,13],[3,4,5,11,12,13],[3,4,6,7,9,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,6,7,8,9,10],[4,5,6,8,9,11],[4,5,7,8,9,12]];
G[6764]:=Group([(1,6)(3,13)(4,12)(5,9)(10,11)]);
# Design 6765: autom. group order 2, simple, derived
B[6765]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,13],[1,3,6,8,12,13],[1,4,6,8,10,11],[1,4,6,9,10,12],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,7,8,9,11,13],[2,3,7,8,9,12],[2,3,8,10,11,12],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,6,9,12,13],[2,6,8,9,10,13],[3,4,5,11,12,13],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,6,7,10,11,12],[4,5,6,7,8,12],[4,5,7,8,9,10]];
G[6765]:=Group([(2,7)(3,11)(4,13)(5,9)(6,8)(10,12)]);
# Design 6766: autom. group order 2, simple, derived
B[6766]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,7,9,13],[1,4,6,8,10,13],[1,4,6,11,12,13],[1,5,7,8,9,12],[1,5,7,10,11,12],[1,8,9,10,11,13],[2,3,7,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[6766]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 6767: autom. group order 2, simple
B[6767]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,8,10,13],[1,4,6,7,9,13],[1,4,6,11,12,13],[1,5,7,8,9,12],[1,5,7,10,11,12],[1,8,9,10,11,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,5,8,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[6767]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 6768: autom. group order 2, simple, derived
B[6768]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,6,7,8,9],[1,4,6,10,11,12],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,7,10,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,6,7,8,9,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[6768]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 6769: autom. group order 2, simple
B[6769]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,6,7,10,13],[1,4,6,8,9,11],[1,5,7,8,10,11],[1,5,8,9,10,12],[1,7,8,9,12,13],[2,3,7,8,9,13],[2,3,9,10,11,13],[2,4,5,7,10,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,9,10,11,13]];
G[6769]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 6770: autom. group order 2, simple
B[6770]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,6,7,10,13],[1,4,6,8,9,11],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,7,8,9,13],[2,3,9,10,11,13],[2,4,5,7,10,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,9,10,11,13]];
G[6770]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 6771: autom. group order 2, simple
B[6771]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,7,9,13],[1,4,6,10,11,13],[1,5,7,8,9,11],[1,5,8,9,10,12],[1,7,8,10,12,13],[2,3,7,9,10,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,6,7,9,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6771]:=Group([(1,11)(2,12)(5,7)(6,10)]);
# Design 6772: autom. group order 2, simple
B[6772]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,7,9,13],[1,4,6,10,11,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,7,9,10,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,6,7,9,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6772]:=Group([(1,11)(2,12)(5,7)(6,10)]);
# Design 6773: autom. group order 2, simple
B[6773]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,9,10,12],[1,4,7,9,11,13],[1,5,6,8,11,13],[1,5,7,8,10,12],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,7,9,10,11],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,7,8,10,11],[3,4,8,9,10,13],[3,5,6,8,9,10],[3,6,7,9,11,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[6773]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6774: autom. group order 2, simple
B[6774]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,9,11,13],[1,4,7,9,10,12],[1,5,6,8,10,12],[1,5,7,8,11,13],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,7,9,10,11],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,9,12,13],[3,4,7,8,10,11],[3,4,8,9,10,13],[3,5,6,8,9,10],[3,6,7,9,11,12],[4,5,6,7,10,12],[4,5,6,7,11,13]];
G[6774]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6775: autom. group order 2, simple
B[6775]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,11],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,6,9,10,13],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,7,9,11,12],[1,7,8,9,11,13],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,5,7,8,10,12],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,6,7,8,10,11],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[6775]:=Group([(2,3)(4,5)(8,9)(10,12)(11,13)]);
# Design 6776: autom. group order 2, simple
B[6776]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,6,8,10,12],[1,5,7,9,11,12],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,9,10],[3,6,7,8,11,13],[4,5,6,7,10,13],[4,5,6,7,11,12]];
G[6776]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6777: autom. group order 2, simple
B[6777]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,9,11,13],[1,4,7,8,11,13],[1,5,6,8,10,12],[1,5,7,9,10,12],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,6,7,8,10,13],[4,5,6,7,10,13],[4,5,6,7,11,12]];
G[6777]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6778: autom. group order 2, simple
B[6778]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,11],[1,3,5,10,12,13],[1,3,6,8,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,6,9,11,12],[1,5,7,8,11,12],[1,7,8,9,11,13],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,5,7,8,10,12],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,6,7,8,10,11],[4,5,6,7,10,11],[4,5,6,7,12,13]];
G[6778]:=Group([(2,3)(4,5)(8,9)(10,12)(11,13)]);
# Design 6779: autom. group order 2, simple
B[6779]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,7,8,10,12],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,9,10],[3,6,7,8,11,13],[4,5,6,7,10,13],[4,5,6,7,11,12]];
G[6779]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6780: autom. group order 2, simple
B[6780]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,8,11,13],[1,4,7,9,11,13],[1,5,6,9,10,12],[1,5,7,8,10,12],[1,7,8,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,7,9,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,6,7,8,10,13],[4,5,6,7,10,13],[4,5,6,7,11,12]];
G[6780]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6781: autom. group order 2, simple
B[6781]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,12],[2,4,6,7,8,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,6,7,9,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6781]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6782: autom. group order 2, simple
B[6782]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,11],[1,3,5,10,12,13],[1,3,6,8,10,13],[1,4,6,9,12,13],[1,4,7,9,11,13],[1,5,6,8,11,12],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,6,7,8,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6782]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6783: autom. group order 2, simple
B[6783]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,8,11],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6783]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6784: autom. group order 2, simple
B[6784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,8,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6784]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6785: autom. group order 2, simple
B[6785]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,6,9,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,6,7,9,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6785]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6786: autom. group order 2, simple
B[6786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,6,9,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,9,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,9,10,12],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,6,7,9,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6786]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6787: autom. group order 2, simple
B[6787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,12],[2,4,6,7,8,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,8,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,6,7,8,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6787]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6788: autom. group order 2, simple
B[6788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,13],[2,4,6,7,8,11],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6788]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6789: autom. group order 2, simple
B[6789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,9,10,13],[2,4,6,7,9,12],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,6,7,9,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6789]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6790: autom. group order 2, simple
B[6790]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,9,10,13],[2,4,6,7,9,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,6,7,9,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6790]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6791: autom. group order 2, simple
B[6791]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,6,9,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,13],[2,4,6,7,9,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,6,7,9,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6791]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6792: autom. group order 2, simple
B[6792]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6792]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6793: autom. group order 2, simple
B[6793]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,9,11,12],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6793]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6794: autom. group order 2, simple
B[6794]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,6,9,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,5,7,10,11,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,6,7,8,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6794]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6795: autom. group order 2, simple
B[6795]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,7,12,13],[1,3,6,8,9,12],[1,4,6,10,12,13],[1,4,8,10,11,12],[1,5,6,8,11,13],[1,5,7,9,10,11],[1,7,8,9,10,13],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,9,10],[2,5,7,8,10,12],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,8,9,11],[3,4,7,9,11,13],[3,4,9,10,12,13],[3,5,6,10,11,12],[3,6,7,8,10,11],[4,5,6,7,8,13],[4,5,6,7,9,12]];
G[6795]:=Group([(1,4)(2,12)(3,10)(5,13)(7,11)]);
# Design 6796: autom. group order 2, simple
B[6796]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,6,9,10,11],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,7,8,9,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,8,12,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,6,8,9,10,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6796]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6797: autom. group order 2, simple
B[6797]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,11,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,8,9,12],[2,5,7,9,11,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,8,9,11],[3,4,7,9,12,13],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,6,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6797]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6798: autom. group order 2, simple
B[6798]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,7,10,11],[1,4,8,10,11,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,5,7,8,9,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,6,8,9,10,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[6798]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6799: autom. group order 2, simple
B[6799]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,5,7,8,9,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,6,8,9,10,11],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[6799]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6800: autom. group order 2, simple
B[6800]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,6,9,12,13],[2,5,7,8,9,12],[2,5,10,11,12,13],[2,6,7,9,10,11],[3,4,5,9,10,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,11,13],[3,6,7,8,9,12],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6800]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6801: autom. group order 2, simple
B[6801]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,12],[1,4,7,10,12,13],[1,5,6,8,10,11],[1,5,8,9,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,6,9,11,13],[2,5,7,8,9,12],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6801]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6802: autom. group order 2, simple
B[6802]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,8,9,13],[1,4,6,8,12,13],[1,4,7,8,10,11],[1,5,6,10,11,12],[1,5,8,9,10,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,7,9,10,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,6,7,8,10,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[6802]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6803: autom. group order 2, simple
B[6803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,9,10,11],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,7,8,9,11],[2,5,7,9,10,13],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,5,6,9,12,13],[3,6,7,8,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6803]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6804: autom. group order 2, simple
B[6804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,6,8,11,12],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,5,7,9,11,12],[2,5,10,11,12,13],[2,6,7,8,9,13],[3,4,5,7,10,11],[3,4,7,9,12,13],[3,4,8,11,12,13],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[6804]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6805: autom. group order 2, simple
B[6805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,11],[1,4,9,10,11,13],[1,5,6,8,10,12],[1,5,7,8,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,5,7,8,9,11],[2,5,10,11,12,13],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,9,11,13],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6805]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6806: autom. group order 2, simple
B[6806]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,5,7,9,11,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,7,10,11],[3,4,7,9,12,13],[3,4,10,11,12,13],[3,5,6,8,9,12],[3,6,7,8,9,11],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[6806]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6807: autom. group order 2, simple
B[6807]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,8,9,13],[1,4,6,8,11,12],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,6,8,9,10,12],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6807]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6808: autom. group order 2, simple
B[6808]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,8,9,13],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,7,8,9,12],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,8,11,12],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,6,8,9,10,12],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[6808]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6809: autom. group order 2, simple
B[6809]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,8,10,12],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,7,8,9,11],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,5,9,12,13],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,6,7,8,9,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[6809]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6810: autom. group order 2, simple
B[6810]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,9,10,13],[3,4,6,7,8,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,9,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6810]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6811: autom. group order 2, simple
B[6811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,9,11,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,9,10,12],[3,4,6,7,8,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,9,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6811]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6812: autom. group order 2, simple
B[6812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,11],[1,3,5,10,12,13],[1,3,6,8,10,13],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,6,9,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,9,10,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,4,8,9,12,13],[3,5,7,10,11,12],[3,6,7,9,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6812]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6813: autom. group order 2, simple
B[6813]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,12],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,9,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6813]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6814: autom. group order 2, simple
B[6814]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,11],[1,3,5,10,12,13],[1,3,6,8,10,13],[1,4,6,8,11,12],[1,4,7,9,11,13],[1,5,6,9,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,9,12],[3,4,8,9,12,13],[3,5,7,10,11,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6814]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6815: autom. group order 2, simple
B[6815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6815]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6816: autom. group order 2, simple
B[6816]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,9,11,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,8,12],[3,4,8,9,12,13],[3,5,7,10,11,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6816]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6817: autom. group order 2, simple
B[6817]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,9,11,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,10,13],[3,4,6,7,8,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,8,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6817]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6818: autom. group order 2, simple
B[6818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,12],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,8,10,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6818]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6819: autom. group order 2, simple
B[6819]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,13],[2,4,7,10,11,13],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,7,10,11,12],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6819]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6820: autom. group order 2, simple
B[6820]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,10,12],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,6,7,9,10,12],[3,4,5,9,10,12],[3,4,6,7,9,11],[3,4,7,10,11,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6820]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6821: autom. group order 2, simple
B[6821]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,9,11,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,9,10,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,6,7,8,12],[3,4,7,10,12,13],[3,5,8,9,11,12],[3,6,7,9,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6821]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6822: autom. group order 2, simple
B[6822]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,11],[1,3,5,10,12,13],[1,3,6,9,10,13],[1,4,6,9,11,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,8,12],[3,4,7,10,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[6822]:=Group([(2,3)(4,5)(8,9)(11,13)]);
# Design 6823: autom. group order 2, simple
B[6823]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,9,10,13],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,6,7,9,10,12],[3,4,5,8,10,12],[3,4,6,7,9,11],[3,4,7,10,11,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6823]:=Group([(2,3)(4,5)(8,9)(12,13)]);
# Design 6824: autom. group order 2, simple, derived
B[6824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,5,7,12,13],[1,3,6,10,11,12],[1,4,6,9,10,13],[1,4,8,9,10,12],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,7,9,11,12,13],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,7,8,13],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6824]:=Group([(1,8)(2,12)(3,9)(7,10)]);
# Design 6825: autom. group order 2, simple
B[6825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,9,11,12],[1,3,6,7,12,13],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,9,10,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,6,9,11,13],[3,4,10,11,12,13],[3,5,7,8,9,11],[3,6,7,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6825]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6826: autom. group order 2, simple
B[6826]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,11,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,7,9,11,12],[2,6,7,10,12,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,7,9,12,13],[3,5,7,10,11,13],[3,6,8,9,11,12],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6826]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6827: autom. group order 2, simple
B[6827]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,9,11,13],[1,3,6,7,10,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,8,11,12],[1,5,7,8,10,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,9,10,11],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,8,9,11],[3,5,7,8,12,13],[3,6,8,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[6827]:=Group([(2,3)(4,5)(7,9)(8,10)(12,13)]);
# Design 6828: autom. group order 2, simple
B[6828]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,5,7,8,9,11],[3,6,7,9,10,11],[4,5,6,7,8,13],[4,5,6,9,10,12]];
G[6828]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6829: autom. group order 2, simple
B[6829]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,9,11,12],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,8,10,12],[3,4,7,9,12,13],[3,5,7,8,9,11],[3,6,7,9,10,11],[4,5,6,7,8,13],[4,5,6,9,10,12]];
G[6829]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6830: autom. group order 2, simple
B[6830]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,7,9,10,12],[3,4,5,8,12,13],[3,4,6,9,10,11],[3,4,7,8,9,11],[3,5,7,9,11,12],[3,6,7,8,10,13],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[6830]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6831: autom. group order 2, simple
B[6831]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,10,12,13],[1,3,6,8,9,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,7,8,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,8,9,10,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,7,8,9,12],[3,6,7,8,10,12],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6831]:=Group([(2,3)(4,5)(7,10)(8,9)(11,13)]);
# Design 6832: autom. group order 2, simple
B[6832]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,8,11,13],[1,3,6,9,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,6,7,10,12],[1,5,7,8,9,11],[1,8,10,11,12,13],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,7,10,11,12],[3,6,7,8,9,10],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[6832]:=Group([(1,12)(2,9)(3,4)(5,8)(6,11)(7,13)]);
# Design 6833: autom. group order 2, simple
B[6833]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,10,12,13],[1,3,6,8,9,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,7,8,10,11],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,5,9,11,13],[2,4,8,9,10,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6833]:=Group([(2,3)(4,5)(7,10)(8,9)(11,13)]);
# Design 6834: autom. group order 2, simple
B[6834]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,5,7,8,9,11],[3,6,7,8,10,12],[4,5,6,7,8,13],[4,5,6,9,10,12]];
G[6834]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6835: autom. group order 2, simple
B[6835]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,8,10,11,12],[3,5,7,8,9,11],[3,6,7,8,10,13],[4,5,6,7,8,13],[4,5,6,9,10,12]];
G[6835]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6836: autom. group order 2, simple
B[6836]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,11],[1,3,5,11,12,13],[1,3,6,8,9,13],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,8,10,12],[1,7,9,10,11,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,8,9,11,12],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,7,9,10,11],[3,5,8,10,11,12],[3,6,7,8,9,12],[4,5,6,7,11,13],[4,5,6,9,10,12]];
G[6836]:=Group([(1,13)(3,10)(4,8)(5,7)(9,12)]);
# Design 6837: autom. group order 2, simple
B[6837]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,7,10,11],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,8,9,12],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,5,7,8,10,12],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[6837]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6838: autom. group order 2, simple
B[6838]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,10,12,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[6838]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6839: autom. group order 2, simple
B[6839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,7,8,11],[1,4,8,10,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,9,11,13],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,7,8,9,13],[3,6,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6839]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6840: autom. group order 2, simple
B[6840]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,6,9,10,13],[1,4,6,10,12,13],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,9,11,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,10,12,13],[2,6,7,8,9,13],[3,4,5,7,11,13],[3,4,6,8,9,12],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[6840]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6841: autom. group order 2, simple
B[6841]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,10,12],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,8,9,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,8,11,12,13],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6841]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6842: autom. group order 2, simple
B[6842]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,6,8,11,12],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,8,9,13],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,7,9,11,12],[3,6,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6842]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6843: autom. group order 2, simple
B[6843]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,8,9,13],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,7,9,11,12],[3,6,7,8,9,11],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[6843]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6844: autom. group order 2, simple
B[6844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[6844]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6845: autom. group order 2, simple
B[6845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,8,11,12,13],[3,6,7,8,9,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6845]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6846: autom. group order 2, simple
B[6846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,6,9,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,8,11,12,13],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[6846]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6847: autom. group order 2, simple
B[6847]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,8,11,13],[1,5,7,8,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,8,12,13],[2,5,6,7,9,12],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,5,9,10,12,13],[3,6,7,8,10,11],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[6847]:=Group([(2,3)(4,5)(7,9)(8,10)(12,13)]);
# Design 6848: autom. group order 2, simple
B[6848]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,6,8,11,12],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,8,9,11,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,5,7,9,11,12],[3,6,8,9,12,13],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6848]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6849: autom. group order 2, simple
B[6849]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,8,9,11,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,5,7,9,11,12],[3,6,8,9,12,13],[4,5,6,7,8,11],[4,5,6,9,10,13]];
G[6849]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6850: autom. group order 2, simple
B[6850]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,7,10,13],[1,4,6,9,12,13],[1,4,7,8,9,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,7,10,11,12,13],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,7,11,12],[3,4,6,8,10,11],[3,4,9,10,11,13],[3,5,7,9,10,12],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[6850]:=Group([(2,3)(4,5)(7,10)(8,9)(11,13)]);
# Design 6851: autom. group order 2, simple
B[6851]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,7,10,12],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,8,11,12],[1,5,7,8,9,13],[1,7,10,11,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,7,8,10,11],[2,5,6,7,9,12],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,5,7,9,10,11],[3,6,7,8,9,11],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[6851]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6852: autom. group order 2, simple
B[6852]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,7,10,12],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,8,11,12],[1,5,7,8,9,12],[1,7,10,11,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,7,11,12],[2,4,7,8,10,11],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,8,10,12],[3,4,7,9,12,13],[3,5,7,9,10,11],[3,6,7,8,9,11],[4,5,6,7,8,13],[4,5,6,9,10,12]];
G[6852]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6853: autom. group order 2, simple
B[6853]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,7,10,12],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,8,11,12],[1,5,7,8,9,12],[1,7,10,11,12,13],[2,3,6,11,12,13],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,7,8,12,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,8,9,10,11],[3,4,5,7,11,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,5,9,10,12,13],[3,6,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[6853]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6854: autom. group order 2, simple
B[6854]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,7,10,13],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,8,11,12],[1,5,7,8,9,11],[1,7,10,11,12,13],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,7,11,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,7,9,10,12],[3,6,8,9,10,12],[4,5,6,7,8,13],[4,5,6,9,10,11]];
G[6854]:=Group([(2,3)(4,5)(7,10)(8,9)(11,13)]);
# Design 6855: autom. group order 2, simple
B[6855]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,8,10,12],[1,4,6,7,11,13],[1,4,7,8,10,12],[1,5,6,10,11,12],[1,5,7,9,10,13],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,5,9,12,13],[3,4,6,9,10,11],[3,4,7,10,11,13],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[6855]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6856: autom. group order 2, simple
B[6856]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,6,8,10,12],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,6,7,11,12],[1,5,7,8,10,13],[1,8,9,11,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,8,9,11],[3,5,7,9,12,13],[3,6,7,9,10,11],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[6856]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6857: autom. group order 2, simple
B[6857]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,6,11,12,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,7,9,11],[1,5,7,8,9,12],[1,8,9,10,11,13],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,7,9,10,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[6857]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 6858: autom. group order 2, simple
B[6858]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,11,12],[1,3,6,7,12,13],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[6858]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6859: autom. group order 2, simple
B[6859]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,5,7,11,13],[1,3,6,7,8,12],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,8,9,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,8,10,11,12],[2,5,6,7,10,11],[2,5,7,8,9,11],[2,6,7,8,9,13],[3,4,5,9,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,8,10,11,13],[3,6,7,9,10,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[6859]:=Group([(2,3)(4,5)(7,9)(8,10)(12,13)]);
# Design 6860: autom. group order 2, simple
B[6860]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,5,7,12,13],[1,3,6,8,11,13],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,7,11,12],[1,5,8,9,10,11],[1,7,9,10,11,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,6,7,8,11,13],[3,4,5,10,11,13],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,6,7,9,10,12],[4,5,6,7,8,9],[4,5,7,8,10,12]];
G[6860]:=Group([(2,9)(3,11)(4,10)(5,7)(6,13)]);
# Design 6861: autom. group order 2, simple
B[6861]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,7,11,13],[1,3,6,8,10,12],[1,4,6,10,11,12],[1,4,8,9,11,13],[1,5,6,7,10,13],[1,5,8,9,11,12],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,3,9,10,11,12],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,5,8,12,13],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,11,12,13],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,8,10,11]];
G[6861]:=Group([(1,10)(4,11)(5,9)(6,12)(7,13)]);
# Design 6862: autom. group order 2, simple
B[6862]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,5,11,12,13],[1,3,6,7,11,12],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,7,8,13],[1,5,8,9,10,11],[1,7,9,10,11,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,7,10,13],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,6,7,9,10,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[6862]:=Group([(2,9)(3,11)(4,10)(5,7)(6,13)]);
# Design 6863: autom. group order 2, simple
B[6863]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,9,11,12],[1,3,6,7,8,13],[1,4,6,8,9,11],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,8,11,12],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,12,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,6,8,9,10,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[6863]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6864: autom. group order 2, simple
B[6864]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,5,8,12,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,6,7,8,10,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[6864]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6865: autom. group order 2, simple
B[6865]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,7,8,11],[1,4,8,10,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,6,7,8,10,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[6865]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6866: autom. group order 2, simple
B[6866]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,6,8,9,13],[1,4,6,7,8,11],[1,4,8,10,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,6,7,8,10,12],[4,5,6,7,9,13],[4,5,7,8,9,10]];
G[6866]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6867: autom. group order 2, simple
B[6867]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,6,9,10,13],[1,4,7,9,10,12],[1,5,6,8,10,12],[1,5,8,9,11,12],[1,7,8,10,11,13],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,7,9,11],[3,4,8,10,12,13],[3,5,6,7,10,12],[3,6,9,11,12,13],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[6867]:=Group([(1,11)(3,10)(4,6)(5,8)(7,13)]);
# Design 6868: autom. group order 2, simple
B[6868]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,8,10,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[1,5,6,11,12,13],[1,5,8,10,11,12],[1,7,8,9,11,13],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,6,7,8,9,12],[4,5,6,8,9,10],[4,5,7,8,10,11]];
G[6868]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 6869: autom. group order 2, simple
B[6869]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,6,10,11,12],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,7,9,12],[1,5,8,11,12,13],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,3,8,9,12,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,5,6,8,10,11],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,8,10,13],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,6,9,10,11,13],[4,5,6,7,9,13],[4,5,7,10,11,12]];
G[6869]:=Group([(1,12)(2,7)(3,10)(4,5)(6,11)]);
# Design 6870: autom. group order 2, simple, derived
B[6870]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,6,7,10,12],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,9,10,13],[1,5,7,8,9,11],[1,8,9,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,7,10,11,12],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,6,8,9,11,12],[4,5,6,7,9,12],[4,5,7,10,11,13]];
G[6870]:=Group([(1,11)(2,7)(3,10)(4,5)(6,13)(8,12)]);
# Design 6871: autom. group order 2, simple, derived
B[6871]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,7,10,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,7,9,10,11,13],[2,3,7,10,12,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,12,13]];
G[6871]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 6872: autom. group order 2, simple
B[6872]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,6,7,10,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,6,7,9,13],[1,5,8,10,11,13],[1,7,8,9,12,13],[2,3,7,10,11,13],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,8,10,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,8,11,12],[3,4,5,7,8,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,11,12,13],[3,6,8,9,10,11],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[6872]:=Group([(1,10)(4,13)(5,9)(6,12)(8,11)]);
# Design 6873: autom. group order 2, simple
B[6873]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,6,7,11,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,10,12,13],[1,5,7,8,10,13],[1,7,8,9,12,13],[2,3,8,10,11,13],[2,3,9,10,12,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,7,9,12],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,9,11,13],[3,6,7,8,9,10],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[6873]:=Group([(1,10)(4,13)(5,9)(6,12)(7,11)]);
# Design 6874: autom. group order 2, simple
B[6874]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,13],[1,3,6,10,11,12],[1,4,6,8,9,10],[1,4,7,10,11,13],[1,5,6,8,12,13],[1,5,7,9,12,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,3,8,9,10,13],[2,4,5,8,11,12],[2,4,6,9,12,13],[2,5,6,7,10,12],[2,5,9,10,11,13],[2,6,7,8,10,11],[3,4,5,7,10,12],[3,4,6,7,9,13],[3,4,10,11,12,13],[3,5,6,7,9,11],[3,6,8,9,11,12],[4,5,6,8,10,13],[4,5,7,8,9,11]];
G[6874]:=Group([(1,8)(4,7)(5,13)(6,12)(9,10)]);
# Design 6875: autom. group order 2, simple
B[6875]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,11,12,13],[1,3,6,8,11,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,5,7,9,12,13],[1,7,8,9,10,11],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,9,10,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,7,8,10],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,7,9,11],[3,6,8,10,12,13],[4,5,6,8,9,11],[4,5,7,10,11,13]];
G[6875]:=Group([(1,6)(3,13)(4,7)(5,10)(8,11)]);
# Design 6876: autom. group order 2, simple
B[6876]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,7,10,12],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,10,11,12],[2,3,8,9,10,12],[2,4,5,8,9,13],[2,4,6,7,8,11],[2,5,6,7,10,13],[2,5,7,8,12,13],[2,6,9,11,12,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,10,11,13],[3,5,6,7,9,12],[3,6,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,10,11]];
G[6876]:=Group([(1,6)(3,13)(4,11)(5,10)(7,9)(8,12)]);
# Design 6877: autom. group order 2, simple
B[6877]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,9,10,13],[1,4,7,9,10,12],[1,5,6,8,10,11],[1,5,7,8,10,12],[1,7,8,9,11,13],[2,3,7,9,11,12],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,8,12],[3,4,8,9,10,11],[3,5,6,7,9,13],[3,6,10,11,12,13],[4,5,6,7,9,11],[4,5,8,9,12,13]];
G[6877]:=Group([(1,6)(2,12)(4,8)(5,13)(9,11)]);
# Design 6878: autom. group order 2, simple
B[6878]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,9,10,13],[1,3,5,10,11,13],[1,3,6,8,11,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,6,8,10,12],[1,5,7,9,11,12],[1,7,8,9,12,13],[2,3,8,9,10,13],[2,3,8,9,11,12],[2,4,5,9,10,12],[2,4,7,11,12,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,5,7,10,12,13],[3,6,7,9,10,11],[4,5,6,7,8,9],[4,5,8,9,10,11]];
G[6878]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]);
# Design 6879: autom. group order 2, simple
B[6879]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,6,8,10,13],[1,3,5,11,12,13],[1,3,6,9,10,13],[1,4,6,9,11,13],[1,4,7,9,12,13],[1,5,6,8,10,12],[1,5,7,8,10,11],[1,7,8,9,11,12],[2,3,8,9,10,11],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,6,9,11,12],[2,6,7,9,10,12],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,6,8,11,12],[3,5,7,10,12,13],[3,6,7,8,11,13],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[6879]:=Group([(2,3)(4,5)(8,9)(10,13)(11,12)]);
# Design 6880: autom. group order 2, simple
B[6880]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,9,12,13],[1,3,6,7,10,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,8,11,12],[1,5,7,8,11,13],[1,7,8,9,10,13],[2,3,7,10,11,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,6,10,12,13],[2,6,7,8,9,12],[3,4,5,8,10,11],[3,4,6,7,9,13],[3,4,6,8,12,13],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,9,11],[4,5,7,10,12,13]];
G[6880]:=Group([(1,3)(2,5)(4,9)(6,10)(7,12)(8,13)]);
# Design 6881: autom. group order 2, simple
B[6881]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,10,11,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,10,12],[1,8,9,11,12,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,11],[2,5,6,10,12,13],[2,6,7,9,10,12],[3,4,5,8,12,13],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,5,7,9,11,12],[3,6,7,8,10,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[6881]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6882: autom. group order 2, simple
B[6882]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,6,8,9,12],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,8,11,13],[1,5,7,8,10,12],[1,7,9,11,12,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,8,11],[3,4,6,10,12,13],[3,5,8,10,11,12],[3,6,7,9,10,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[6882]:=Group([(2,3)(4,5)(7,9)(8,10)(12,13)]);
# Design 6883: autom. group order 2, simple
B[6883]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,6,8,9,13],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,7,9,11,12,13],[2,3,7,8,11,12],[2,3,9,10,12,13],[2,4,5,7,11,13],[2,4,8,10,12,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,5,8,10,11,12],[3,6,7,8,9,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[6883]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 6884: autom. group order 2, simple
B[6884]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,7,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,6,9,10,11],[1,5,7,8,9,12],[1,8,9,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,7,12,13],[2,5,6,8,11,12],[2,6,8,9,11,13],[3,4,5,9,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,7,10,11,13],[3,6,7,8,9,10],[4,5,6,7,8,9],[4,5,7,10,11,12]];
G[6884]:=Group([(1,11)(2,10)(3,7)(4,5)(6,12)(8,13)]);
# Design 6885: autom. group order 2, simple
B[6885]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,6,7,10,12],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,8,11,12],[1,5,7,8,9,13],[1,7,10,11,12,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,9,12],[3,4,5,10,12,13],[3,4,6,7,8,11],[3,4,6,9,12,13],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[6885]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 6886: autom. group order 2, simple
B[6886]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,6,7,9,12],[1,4,6,8,10,11],[1,4,9,10,11,13],[1,5,6,8,10,12],[1,5,7,8,12,13],[1,7,8,9,10,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,9,10,12],[2,4,7,8,10,12],[2,5,6,7,10,13],[2,5,6,8,11,13],[2,6,8,9,11,12],[3,4,5,7,8,11],[3,4,6,8,9,13],[3,4,6,10,12,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[6886]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 6887: autom. group order 2, simple
B[6887]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,8,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[2,3,6,8,11,12],[2,3,7,10,11,12],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,5,6,8,9,10],[2,5,7,9,11,13],[2,7,8,10,12,13],[3,4,5,10,12,13],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,6,9,10,11,13],[4,5,6,7,8,10],[4,5,6,7,11,12]];
G[6887]:=Group([(1,7)(3,10)(4,13)(5,12)(6,8)(9,11)]);
# Design 6888: autom. group order 2, simple, derived
B[6888]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,6,9,11,13],[2,3,7,8,10,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,7,8,11],[2,5,8,9,11,12],[2,7,9,10,12,13],[3,4,5,7,11,13],[3,4,7,9,11,12],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,6,7,8,9,10],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[6888]:=Group([(2,11)(3,13)(4,10)(5,8)]);
# Design 6889: autom. group order 2, simple, derived
B[6889]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,6,8,11,12],[1,4,6,8,10,11],[1,4,7,10,11,13],[1,5,7,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,7,8,10,11,12],[3,4,5,7,10,12],[3,4,8,9,11,13],[3,4,9,10,12,13],[3,5,6,7,11,13],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[6889]:=Group([(1,11)(3,10)(4,12)(5,7)(6,8)]);
# Design 6890: autom. group order 2, simple
B[6890]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,9,10,12],[2,3,6,7,9,13],[2,3,8,10,11,12],[2,4,5,7,8,12],[2,4,6,10,12,13],[2,5,6,9,10,11],[2,5,8,9,12,13],[2,7,8,10,11,13],[3,4,5,10,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,10],[3,6,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[6890]:=Group([(1,9)(2,8)(3,13)(4,5)(7,12)]);
# Design 6891: autom. group order 2, simple
B[6891]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,9,10,12],[2,3,6,7,9,13],[2,3,8,10,11,12],[2,4,5,7,8,12],[2,4,6,7,10,13],[2,5,6,9,10,11],[2,5,8,9,12,13],[2,7,8,10,11,13],[3,4,5,10,11,13],[3,4,7,9,10,12],[3,4,9,11,12,13],[3,5,6,8,10,12],[3,6,7,8,9,11],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[6891]:=Group([(1,9)(2,8)(3,13)(4,5)(7,12)]);
# Design 6892: autom. group order 2, simple
B[6892]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,9,11,12],[1,3,6,8,10,12],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,7,10,12,13],[1,6,7,10,11,13],[2,3,6,7,9,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,6,9,12,13],[2,7,8,9,10,12],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,7,8,12,13],[3,6,8,9,10,11],[4,5,6,7,8,9],[4,5,6,8,11,12]];
G[6892]:=Group([(2,5)(4,9)(6,10)(7,11)(8,12)]);
# Design 6893: autom. group order 2, simple
B[6893]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,8,9,10,11,13],[3,4,5,9,11,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,7,8,9,11],[3,6,7,11,12,13],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[6893]:=Group([(1,7)(2,9)(3,12)(4,5)(8,13)]);
# Design 6894: autom. group order 2, simple
B[6894]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,10,12],[1,3,6,11,12,13],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,6,10,11,12],[2,8,9,10,11,13],[3,4,5,9,11,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,7,8,9,11],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[6894]:=Group([(1,7)(2,9)(3,12)(4,5)(8,13)]);
# Design 6895: autom. group order 2, simple
B[6895]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,10,11,13],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,7,10,12,13],[1,5,8,9,10,12],[1,6,7,8,9,10],[2,3,6,7,10,12],[2,3,7,8,9,13],[2,4,5,8,10,11],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,7,12,13],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,8,9],[4,5,6,7,10,11]];
G[6895]:=Group([(1,11)(2,12)(4,9)(5,8)]);
# Design 6896: autom. group order 2, simple
B[6896]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,10,12,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[6896]:=Group([(1,11)(2,12)(4,9)(5,7)]);
# Design 6897: autom. group order 2, simple, derived
B[6897]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,11,13],[1,4,6,7,12,13],[1,4,9,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,10,12,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[6897]:=Group([(1,11)(2,12)(4,9)(5,7)]);
# Design 6898: autom. group order 2, simple
B[6898]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,10,11],[1,3,6,8,12,13],[1,4,6,7,9,13],[1,4,8,10,11,13],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,10,11,13],[2,3,7,8,9,13],[2,4,5,7,8,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,7,9,10,12,13],[3,4,5,9,12,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,8,9,11,13],[3,6,7,8,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[6898]:=Group([(1,11)(2,9)(3,8)(4,5)(7,13)]);
# Design 6899: autom. group order 2, simple, derived
B[6899]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,8,11],[1,3,6,10,11,13],[1,4,6,7,12,13],[1,4,8,9,11,13],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,7,11,13],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,10,12,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,9,10],[4,5,6,8,10,11]];
G[6899]:=Group([(1,11)(2,12)(4,9)(5,7)]);
# Design 6900: autom. group order 2, simple
B[6900]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,6,8,9,13],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,8,11,12],[1,5,8,10,11,13],[1,6,7,8,9,11],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,6,7,10,12],[2,7,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,8,10],[3,4,7,10,11,13],[3,5,8,9,10,12],[3,6,9,10,11,12],[4,5,6,7,9,11],[4,5,6,8,12,13]];
G[6900]:=Group([(1,9)(2,10)(4,12)(6,8)(7,11)]);
# Design 6901: autom. group order 2, simple
B[6901]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,10,11,13],[1,3,6,7,12,13],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,7,9,10,13],[2,3,6,8,10,11],[2,3,7,8,9,13],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,8,9,10,12,13],[3,4,5,8,9,12],[3,4,6,9,10,12],[3,4,10,11,12,13],[3,5,7,9,11,13],[3,6,7,8,11,12],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[6901]:=Group([(1,11)(2,9)(3,7)(4,5)(8,13)]);
# Design 6902: autom. group order 2, simple
B[6902]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,8,11,13],[1,3,6,7,9,13],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,7,9,10,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,8,10,11],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,7,11,12,13],[2,6,7,8,10,13],[3,4,5,7,12,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[6902]:=Group([(1,6)(2,10)(3,7)(4,11)(5,8)(9,13)]);
# Design 6903: autom. group order 2, simple
B[6903]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,8,12,13],[1,3,6,9,11,13],[1,4,6,10,11,12],[1,4,7,9,10,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,8,9,10,12],[2,3,6,7,9,12],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,5,9,10,11],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,5,6,7,12,13],[3,7,8,10,11,12],[4,5,6,7,11,13],[4,5,6,8,9,12]];
G[6903]:=Group([(1,9)(2,8)(3,12)(5,6)(7,13)]);
# Design 6904: autom. group order 2, simple
B[6904]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,8,10,12],[1,4,6,10,11,13],[1,4,7,10,12,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[6904]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6905: autom. group order 2, simple
B[6905]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,8,10,12],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[6905]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6906: autom. group order 2, simple
B[6906]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,6,9,11,12],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,12,13],[3,7,8,10,11,13],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[6906]:=Group([(1,9)(2,7)(3,13)(5,6)(8,12)]);
# Design 6907: autom. group order 2, simple, derived
B[6907]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,7,9,13],[1,4,6,8,9,11],[1,4,9,10,12,13],[1,5,7,8,10,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,9,10,11],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,9,12,13],[3,7,8,9,11,12],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[6907]:=Group([(1,7)(2,8)(5,12)(6,13)(10,11)]);
# Design 6908: autom. group order 2, simple, derived
B[6908]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,6,8,9,13],[1,4,6,7,10,11],[1,4,8,9,10,12],[1,5,7,9,12,13],[1,5,7,10,11,13],[1,6,8,10,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,8,9,11,12],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,7,10,12],[3,7,8,9,10,11],[4,5,6,7,8,12],[4,5,6,9,11,13]];
G[6908]:=Group([(1,8)(2,7)(5,11)(6,13)]);
# Design 6909: autom. group order 2, simple
B[6909]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,6,7,10,12],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,7,8,10,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,8,11,12,13],[3,4,5,7,11,13],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,7,9,10,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[6909]:=Group([(1,8)(2,11)(3,10)(4,5)(7,12)]);
# Design 6910: autom. group order 2, simple
B[6910]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,6,9,11,13],[1,4,6,10,12,13],[1,4,7,8,9,10],[1,5,7,10,11,12],[1,5,8,10,12,13],[1,6,7,8,9,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,7,8,9,11,12],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[6910]:=Group([(1,9)(3,10)(4,11)(6,8)(7,13)]);
# Design 6911: autom. group order 2, simple
B[6911]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,10,13],[1,4,6,7,10,12],[1,4,7,8,9,13],[1,5,8,9,12,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,5,7,10,13],[2,4,8,10,12,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,7,8,11,13],[3,4,5,11,12,13],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,7,9,10,12,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[6911]:=Group([(1,8)(2,11)(3,10)(4,5)(7,12)]);
# Design 6912: autom. group order 2, simple, derived
B[6912]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,9,10,13],[1,4,6,7,10,12],[1,4,8,9,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,7,8,9,13],[2,4,5,7,10,11],[2,4,9,10,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,7,9,10,11,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[6912]:=Group([(1,11)(2,12)(4,9)(8,10)]);
# Design 6913: autom. group order 2, simple, derived
B[6913]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,6,7,10,12],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,5,7,10,11],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,9,11,12],[3,7,9,10,11,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[6913]:=Group([(1,11)(2,12)(4,9)(8,10)]);
# Design 6914: autom. group order 2, simple, derived
B[6914]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,7,9,10,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[6914]:=Group([(1,11)(2,12)(4,9)]);
# Design 6915: autom. group order 2, simple, derived
B[6915]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,6,8,9,13],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,7,9,13],[2,5,8,10,11,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,12,13],[4,5,6,8,9,10]];
G[6915]:=Group([(1,11)(2,12)(4,9)]);
# Design 6916: autom. group order 2, simple
B[6916]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,6,8,9,11],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,7,8,11,12],[3,4,5,10,11,12],[3,4,6,7,8,10],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,8,9,10,11,13],[4,5,6,8,9,10],[4,5,6,9,12,13]];
G[6916]:=Group([(1,9)(2,8)(4,13)(5,11)(6,10)(7,12)]);
# Design 6917: autom. group order 2, simple
B[6917]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,6,8,10,13],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,7,9,10,12],[1,6,7,9,11,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,6,11,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,11,12],[3,6,7,8,11,12],[4,5,6,7,8,9],[4,5,8,10,11,13]];
G[6917]:=Group([(1,10)(2,11)(3,8)(6,13)(7,9)]);
# Design 6918: autom. group order 2, simple, derived
B[6918]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,6,8,11,12],[1,4,6,10,12,13],[1,4,7,9,10,11],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,5,6,8,13],[2,4,8,9,11,12],[2,5,6,7,10,11],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,9,11,12],[3,6,7,8,11,13],[4,5,6,7,10,12],[4,5,7,8,9,12]];
G[6918]:=Group([(1,13)(2,11)(5,7)(6,10)(8,9)]);
# Design 6919: autom. group order 2, simple
B[6919]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,6,7,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,8,9,10,13],[2,3,8,9,10,12],[2,3,10,11,12,13],[2,4,5,6,8,13],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,6,7,8,11,13],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[6919]:=Group([(1,8)(2,7)(5,11)(6,10)(9,13)]);
# Design 6920: autom. group order 2, simple
B[6920]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,6,8,10,12],[1,4,6,7,12,13],[1,4,7,9,10,11],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,8,9,10,13],[2,3,7,9,12,13],[2,3,10,11,12,13],[2,4,5,6,8,13],[2,4,8,9,10,12],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,6,7,8,11,13],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[6920]:=Group([(1,8)(2,7)(5,11)(6,10)(9,13)]);
# Design 6921: autom. group order 2, simple, derived
B[6921]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,7,9,13],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,5,8,9,10,12],[1,6,8,10,11,13],[2,3,7,9,10,13],[2,3,8,10,11,13],[2,4,5,6,11,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,6,7,9,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6921]:=Group([(1,11)(2,12)(5,7)(6,10)]);
# Design 6922: autom. group order 2, simple, derived
B[6922]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,7,9,13],[1,4,7,10,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,7,9,10,13],[2,3,8,10,11,13],[2,4,5,6,11,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,6,7,9,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[6922]:=Group([(1,11)(2,12)(5,7)(6,10)]);
# Design 6923: autom. group order 2, simple, derived
B[6923]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,8,12,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,7,8,9,13],[2,3,9,10,11,13],[2,4,5,6,8,11],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,10,12,13],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[6923]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 6924: autom. group order 2, simple
B[6924]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,6,8,10,13],[1,4,6,7,10,11],[1,4,8,9,12,13],[1,5,7,8,11,12],[1,5,8,9,10,12],[1,6,7,9,10,13],[2,3,7,9,12,13],[2,3,8,9,10,11],[2,4,5,6,10,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,7,8,10,12],[3,5,6,8,11,12],[3,6,10,11,12,13],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[6924]:=Group([(1,13)(3,7)(4,12)(6,10)(8,9)]);
# Design 6925: autom. group order 2, simple, derived
B[6925]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,7,11,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,8,10,11,13],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,8,11,12],[2,5,6,7,9,13],[2,5,6,7,10,11],[2,7,8,9,10,12],[3,4,5,7,11,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,9,10,12],[4,5,7,8,10,13]];
G[6925]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 6926: autom. group order 2, simple, derived
B[6926]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,8,10,12],[1,3,6,7,12,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,7,11,12,13],[1,5,8,9,11,13],[1,6,7,9,10,11],[2,3,8,10,11,13],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,6,8,11,12],[2,5,6,7,8,13],[2,5,6,7,10,11],[2,7,8,9,10,12],[3,4,5,7,11,12],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,9,10,12],[4,5,7,8,10,13]];
G[6926]:=Group([(1,13)(2,10)(5,11)(8,9)]);
# Design 6927: autom. group order 2, simple, derived
B[6927]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,6,11,12,13],[1,4,6,8,10,12],[1,4,8,9,10,13],[1,5,7,9,10,11],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,6,8,9,11,12],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[6927]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 6928: autom. group order 2, simple, derived
B[6928]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,7,8,10,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,8,12,13],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,7,9,10,12,13],[3,4,5,7,11,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[6928]:=Group([(2,11)(3,13)(4,10)(5,8)]);
# Design 6929: autom. group order 2, simple
B[6929]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,7,8,10,11],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,9,10,12,13],[3,4,5,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,6,8,9,10,11],[4,5,6,7,8,11],[4,5,8,9,11,12]];
G[6929]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 6930: autom. group order 2, simple
B[6930]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,6,8,10,12],[1,4,6,10,12,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,6,9,13],[3,4,7,8,9,12],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,6,8,9,11,12],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[6930]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6931: autom. group order 2, simple, derived
B[6931]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,12,13],[1,3,6,9,12,13],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,7,8,12,13],[2,5,6,7,9,13],[2,5,6,8,10,13],[2,6,8,9,10,12],[3,4,5,6,8,11],[3,4,6,7,10,13],[3,4,9,10,12,13],[3,5,7,10,11,12],[3,6,7,8,9,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[6931]:=Group([(2,11)(3,13)(4,10)(5,8)]);
# Design 6932: autom. group order 2, simple, derived
B[6932]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,6,10,12,13],[1,4,6,7,8,9],[1,4,8,10,11,13],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,6,7,10,11,12],[2,3,7,10,11,12],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,8,9,12,13],[3,4,5,6,11,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[6932]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 6933: autom. group order 2, simple, derived
B[6933]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,6,7,12,13],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,8,9,10,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,5,6,7,10,11],[3,7,9,10,11,12],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[6933]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 6934: autom. group order 2, simple
B[6934]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,9,11,13],[1,3,7,8,10,13],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,5,7,8,11,12],[1,7,9,10,12,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,9,12,13],[2,4,7,9,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,10],[3,4,5,7,10,12],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,6,7,9,11,12],[4,5,6,7,8,9],[4,5,8,10,11,13]];
G[6934]:=Group([(1,11)(2,8)(3,10)(4,5)(6,13)(7,12)]);
# Design 6935: autom. group order 2, simple
B[6935]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,11,12],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,6,7,10,12],[1,4,6,9,12,13],[1,5,6,8,10,13],[1,5,7,10,11,12],[1,7,8,9,10,13],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,10,11,12,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,5,7,11,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,6,7,9,10,11],[4,5,6,7,9,13],[4,5,8,9,11,12]];
G[6935]:=Group([(1,12)(2,8)(3,9)(4,5)(6,11)]);
# Design 6936: autom. group order 2, simple, derived
B[6936]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,6,7,10,13],[1,5,7,8,11,12],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,6,7,8,10,11],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[6936]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6937: autom. group order 2, simple
B[6937]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,6,8,10,12],[1,5,6,11,12,13],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,6,7,8,9,12],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[6937]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6938: autom. group order 2, simple, derived
B[6938]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,6,7,10,12],[1,5,8,10,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,6,7,8,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6938]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 6939: autom. group order 2, simple, derived
B[6939]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,7,9,13],[1,4,6,11,12,13],[1,5,6,8,10,11],[1,5,7,8,9,12],[1,8,9,10,11,13],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,8,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[6939]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 6940: autom. group order 2, simple
B[6940]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,6,11,12,13],[1,5,6,7,9,11],[1,5,7,8,9,12],[1,8,9,10,11,13],[2,3,6,8,9,13],[2,3,7,10,11,13],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[6940]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 6941: autom. group order 2, simple
B[6941]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,13],[1,3,7,9,11,12],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,10,11,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,5,7,10,12],[2,4,8,10,11,13],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,7,12,13],[3,6,8,9,10,11],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[6941]:=Group([(1,13)(2,7)(3,9)(4,5)(6,11)]);
# Design 6942: autom. group order 2, simple
B[6942]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,9,10,13],[1,4,6,8,9,12],[1,4,6,8,10,13],[1,5,6,11,12,13],[1,5,7,9,11,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,6,7,8,9,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6942]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6943: autom. group order 2, simple, derived
B[6943]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,7,8,13],[1,4,6,10,11,12],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[6943]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 6944: autom. group order 2, simple, derived
B[6944]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,7,8,13],[1,4,6,9,11,12],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,7,9,10,12,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,6,7,8,10,11],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[6944]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6945: autom. group order 2, simple
B[6945]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,9,11,12,13],[1,4,6,7,8,9],[1,4,6,10,11,12],[1,5,6,8,10,12],[1,5,7,9,10,13],[1,7,8,10,11,13],[2,3,6,9,10,13],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,11],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,5,7,9,10,12]];
G[6945]:=Group([(1,12)(3,13)(5,8)(6,10)]);
# Design 6946: autom. group order 2, simple
B[6946]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,6,8,10,11],[1,5,6,7,9,12],[1,5,8,9,12,13],[1,7,8,10,11,12],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,10,12,13]];
G[6946]:=Group([(1,9)(3,10)(4,11)(6,7)(8,13)]);
# Design 6947: autom. group order 2, simple, derived
B[6947]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,8,10],[1,4,6,10,12,13],[1,5,6,7,9,11],[1,5,8,9,10,12],[1,7,8,9,12,13],[2,3,6,8,9,12],[2,3,7,9,10,13],[2,4,5,7,10,12],[2,4,9,10,11,13],[2,5,6,8,11,13],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,10,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[6947]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 6948: autom. group order 2, simple, derived
B[6948]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,8,10],[1,4,6,10,12,13],[1,5,6,7,9,11],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,6,8,9,12],[2,3,7,9,10,13],[2,4,5,7,10,12],[2,4,9,10,11,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,10,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[6948]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 6949: autom. group order 2, simple, derived
B[6949]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,6,7,8,12],[1,5,9,11,12,13],[1,7,8,9,10,11],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,9,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,6,8,9,10,13],[4,5,6,7,9,13],[4,5,8,10,11,12]];
G[6949]:=Group([(1,6)(2,13)(3,9)(5,8)]);
# Design 6950: autom. group order 2, simple
B[6950]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,6,8,12,13],[1,4,6,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,3,8,9,11,12],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,7,8,9,12,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,7,9,12],[3,6,7,10,11,12],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[6950]:=Group([(1,4)(3,7)(5,11)(6,12)(9,10)]);
# Design 6951: autom. group order 2, simple, derived
B[6951]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,9,10,12,13],[1,4,6,7,10,13],[1,4,6,8,9,13],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,6,9,11,13],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,8,11,12,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[6951]:=Group([(1,11)(3,13)(4,9)(8,10)]);
# Design 6952: autom. group order 2, simple
B[6952]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,6,7,10,12],[1,4,6,8,11,13],[1,5,7,8,10,11],[1,5,9,10,11,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,7,8,10,13],[2,4,5,8,9,11],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,7,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,6,7,9,11,13],[4,5,6,7,10,13],[4,5,7,8,9,13]];
G[6952]:=Group([(1,12)(2,11)(6,10)(8,9)]);
# Design 6953: autom. group order 2, simple
B[6953]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,8,12],[1,3,8,9,11,13],[1,4,6,8,10,13],[1,4,6,10,11,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,5,7,10,11],[2,4,7,8,12,13],[2,5,6,8,9,11],[2,5,6,8,10,13],[2,7,8,9,10,12],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,6,7,8,10,11],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[6953]:=Group([(1,7)(3,8)(5,12)(6,13)(9,10)]);
# Design 6954: autom. group order 2, simple
B[6954]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,8,12],[1,3,8,10,11,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,10,11,12,13],[2,4,5,7,10,11],[2,4,7,8,12,13],[2,5,6,8,9,11],[2,5,6,8,10,13],[2,7,8,9,10,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,6,7,8,9,11],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[6954]:=Group([(1,7)(3,8)(5,12)(6,13)(9,10)]);
# Design 6955: autom. group order 2, simple, derived
B[6955]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,7,9,11,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,6,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[6955]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 6956: autom. group order 2, simple
B[6956]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,7,10,11,12],[1,5,8,9,10,11],[1,6,7,8,9,13],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,6,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[6956]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 6957: autom. group order 2, simple, derived
B[6957]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,6,8,10,13],[1,5,7,9,11,13],[1,5,8,9,10,11],[1,6,7,10,11,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[6957]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 6958: autom. group order 2, simple, derived
B[6958]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,5,7,8,9,13],[1,5,7,9,10,11],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,8,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,6,7,9,10,12],[4,5,6,8,11,13],[4,5,7,10,11,12]];
G[6958]:=Group([(1,12)(3,13)(4,9)]);
# Design 6959: autom. group order 2, simple
B[6959]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,7,8,9,13],[1,5,7,9,10,11],[1,6,7,8,10,12],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,8,10,11],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,9,10,12,13],[3,4,5,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,6,8,9,10,11],[4,5,6,7,12,13],[4,5,8,9,11,12]];
G[6959]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 6960: autom. group order 2, simple
B[6960]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,10,12,13],[1,4,6,7,9,12],[1,4,6,7,10,13],[1,5,7,8,9,11],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,6,7,8,9,12],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[6960]:=Group([(1,12)(3,13)(4,9)(8,10)]);
# Design 6961: autom. group order 2, simple
B[6961]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,9,10,12],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,6,8,13],[3,4,7,9,12,13],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[6961]:=Group([(1,9)(2,5)(3,10)(6,12)(7,11)]);
# Design 6962: autom. group order 2, simple
B[6962]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,6,9,12,13],[1,4,6,10,11,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,7,9,11,13],[2,4,5,9,10,12],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,6,8,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[6962]:=Group([(1,9)(2,5)(3,10)(6,12)(7,11)]);
# Design 6963: autom. group order 2, simple
B[6963]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,6,9,11],[3,4,7,8,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,6,9,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[6963]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6964: autom. group order 2, simple, derived
B[6964]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,6,7,10,13],[1,4,6,8,9,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,6,9,11],[3,4,7,8,11,12],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,6,7,9,10,11],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[6964]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6965: autom. group order 2, simple, derived
B[6965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,9,13],[1,4,6,8,12,13],[1,5,7,8,11,12],[1,5,9,10,12,13],[1,6,7,8,9,10],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,6,9,11],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,6,8,9,11,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[6965]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6966: autom. group order 2, simple
B[6966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,6,9,11],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,6,8,9,10,11],[4,5,6,8,11,12],[4,5,7,9,10,12]];
G[6966]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6967: autom. group order 2, simple
B[6967]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,9,13],[1,4,6,8,12,13],[1,5,7,8,11,12],[1,5,9,10,12,13],[1,6,7,8,9,10],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,6,9,11],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,6,8,9,11,12],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[6967]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6968: autom. group order 2, simple, derived
B[6968]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,6,9,11],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,6,8,9,10,11],[4,5,6,8,11,12],[4,5,7,8,9,10]];
G[6968]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 6969: autom. group order 2, simple
B[6969]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,9,10,11],[1,2,6,8,10,12],[1,3,5,10,12,13],[1,3,8,11,12,13],[1,4,6,8,9,13],[1,4,7,11,12,13],[1,5,6,7,10,13],[1,5,6,9,11,12],[1,7,8,9,10,11],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,5,7,8,11,12],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,6,8,10,11],[3,6,7,8,9,13],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[6969]:=Group([(1,10)(2,12)(3,4)(5,9)(6,8)(11,13)]);
# Design 6970: autom. group order 2, simple
B[6970]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,6,8,12,13],[1,4,9,10,12,13],[1,5,6,7,8,9],[1,5,6,8,10,11],[1,7,8,9,10,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,5,7,8,12,13],[2,5,7,9,10,12],[2,6,8,10,11,12],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,6,7,9,11,13],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[6970]:=Group([(1,12)(2,5)(3,7)(4,13)(6,8)]);
# Design 6971: autom. group order 2, simple, derived
B[6971]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,9,12,13],[1,3,8,10,11,12],[1,4,6,8,11,13],[1,4,9,11,12,13],[1,5,6,7,8,12],[1,5,6,7,10,11],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,5,7,11,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[6971]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6972: autom. group order 2, simple, derived
B[6972]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,6,8,9,12],[1,4,9,10,11,13],[1,5,6,7,8,10],[1,5,6,7,11,12],[1,7,8,10,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,5,7,9,12,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[6972]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 6973: autom. group order 2, simple, derived
B[6973]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,9,12,13],[1,3,8,10,11,12],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,6,7,8,12],[1,5,6,7,10,11],[1,7,9,11,12,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,8,9,12],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[6973]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6974: autom. group order 2, simple, derived
B[6974]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,6,7,11,12],[1,7,9,10,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,9,12,13],[2,4,6,8,11,13],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[6974]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 6975: autom. group order 2, simple, derived
B[6975]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,6,8,11,13],[1,4,9,11,12,13],[1,5,6,7,9,12],[1,5,6,7,10,11],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,5,7,11,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[6975]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6976: autom. group order 2, simple, derived
B[6976]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,6,8,11,13],[1,4,8,9,10,13],[1,5,6,7,9,12],[1,5,6,7,10,11],[1,7,9,11,12,13],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,8,9,12],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[6976]:=Group([(1,10)(2,12)(5,11)(8,9)]);
# Design 6977: autom. group order 2, simple
B[6977]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,8,9,10,11],[1,4,6,7,10,12],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,6,9,12,13],[1,7,8,9,11,13],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,6,8,9,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[2,6,7,8,10,11],[3,4,5,7,8,12],[3,4,6,9,10,11],[3,4,10,11,12,13],[3,5,6,8,10,13],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,7,9,10,13]];
G[6977]:=Group([(1,4)(2,12)(3,10)(5,13)(6,8)(9,11)]);
# Design 6978: autom. group order 2, simple
B[6978]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,6,10,12,13],[1,4,7,9,11,13],[1,5,6,8,9,10],[1,5,6,8,11,12],[1,7,8,9,10,12],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,7,8,9,11],[2,5,10,11,12,13],[2,6,7,9,10,13],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,7,8,10,13]];
G[6978]:=Group([(1,13)(2,9)(4,6)(5,8)(7,11)(10,12)]);
# Design 6979: autom. group order 2, simple
B[6979]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,6,8,9,12],[1,5,6,10,11,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,7,10,12],[2,4,6,8,11,13],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,9,10,12,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,6,7,8,9,10],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[6979]:=Group([(1,13)(3,6)(4,8)(5,12)(7,11)(9,10)]);
# Design 6980: autom. group order 2, simple
B[6980]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,10,11,13],[1,3,7,9,12,13],[1,4,6,7,8,13],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,6,11,12,13],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,8,11,12,13],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,5,7,8,9,12],[2,5,7,10,12,13],[2,6,7,9,11,13],[3,4,5,7,9,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,6,8,9,10,13],[4,5,6,7,10,12],[4,5,8,9,10,11]];
G[6980]:=Group([(1,12)(2,10)(3,7)(8,11)(9,13)]);
# Design 6981: autom. group order 2, simple
B[6981]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,7,10,12,13],[1,4,6,7,8,12],[1,4,8,9,10,13],[1,5,6,8,12,13],[1,5,6,10,11,13],[1,7,8,9,10,11],[2,3,6,8,9,13],[2,3,8,11,12,13],[2,4,5,8,10,11],[2,4,6,9,10,12],[2,5,7,8,10,13],[2,5,7,9,12,13],[2,6,7,10,11,12],[3,4,5,7,10,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,5,6,7,8,11],[3,6,8,9,10,12],[4,5,6,7,9,13],[4,5,8,9,11,12]];
G[6981]:=Group([(1,13)(2,9)(3,7)(8,11)(10,12)]);
# Design 6982: autom. group order 2, simple
B[6982]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,8,10,13],[1,4,6,10,12,13],[1,4,7,9,11,13],[1,5,6,7,8,12],[1,5,6,8,9,10],[1,8,9,10,11,12],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,9,10,13],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[6982]:=Group([(1,13)(2,9)(4,6)(5,8)(7,11)(10,12)]);
# Design 6983: autom. group order 2, simple
B[6983]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,6,7,9,13],[1,5,6,8,9,12],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,7,10,12],[2,4,6,8,11,13],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,9,10,12,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,6,7,8,9,10],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[6983]:=Group([(1,13)(3,6)(4,8)(5,12)(7,11)(9,10)]);
# Design 6984: autom. group order 2, simple
B[6984]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,6,7,9,13],[1,5,6,8,10,12],[1,7,8,9,11,12],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,5,7,8,9,12],[2,5,7,8,10,13],[2,6,9,10,12,13],[3,4,5,9,12,13],[3,4,6,7,9,10],[3,4,7,8,10,12],[3,5,6,7,11,12],[3,6,8,9,10,11],[4,5,6,8,9,11],[4,5,7,10,11,13]];
G[6984]:=Group([(1,13)(3,6)(4,8)(5,12)(7,11)(9,10)]);
# Design 6985: autom. group order 2, simple
B[6985]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,9,11],[1,3,8,10,12,13],[1,4,6,9,10,13],[1,4,7,8,10,11],[1,5,6,7,10,12],[1,5,6,8,12,13],[1,7,8,9,11,13],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,5,8,9,13],[2,4,6,7,10,13],[2,5,7,10,11,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,7,11,12],[3,4,8,9,10,12],[3,5,6,7,8,13],[3,6,9,10,11,13],[4,5,6,8,9,11],[4,5,7,9,10,12]];
G[6985]:=Group([(2,11)(3,7)(4,9)(5,8)(6,13)]);
# Design 6986: autom. group order 2, simple, derived
B[6986]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,6,7,11,12],[1,4,8,9,12,13],[1,5,6,7,8,13],[1,5,6,8,10,12],[1,7,8,9,10,11],[2,3,6,8,11,13],[2,3,7,10,11,12],[2,4,5,7,8,10],[2,4,6,7,9,13],[2,5,7,9,12,13],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,6,10,12,13],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,6,7,8,9,11],[4,5,6,9,10,11],[4,5,7,10,11,13]];
G[6986]:=Group([(1,10)(2,13)(5,12)(7,9)]);
# Design 6987: autom. group order 2, simple, derived
B[6987]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,7,9,12,13],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,6,7,8,13],[1,5,6,10,11,12],[1,7,8,9,10,11],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,5,8,9,10],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,6,8,11,13],[3,5,8,9,11,12],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[6987]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6988: autom. group order 2, simple
B[6988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,6,11,12,13],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,7,9,13],[3,4,6,7,11,12],[3,4,6,9,10,11],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[6988]:=Group([(1,12)(2,8)(3,9)(7,13)(10,11)]);
# Design 6989: autom. group order 2, simple
B[6989]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,8,9,10,12],[1,4,6,7,10,13],[1,4,10,11,12,13],[1,5,6,8,9,11],[1,5,6,8,12,13],[1,7,8,9,11,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,5,7,8,10,11],[3,6,7,9,11,12],[4,5,6,9,10,12],[4,5,7,8,10,12]];
G[6989]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 6990: autom. group order 2, simple
B[6990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,6,11,12,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,8,9,10],[4,5,7,8,9,11]];
G[6990]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 6991: autom. group order 2, simple
B[6991]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,12,13],[1,3,8,9,10,12],[1,4,6,7,10,13],[1,4,8,10,11,13],[1,5,6,8,9,11],[1,5,6,8,12,13],[1,7,9,11,12,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,8,10,11],[3,6,7,8,9,11],[4,5,6,9,10,12],[4,5,7,8,10,12]];
G[6991]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 6992: autom. group order 2, simple
B[6992]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,9,10,12],[1,4,7,8,10,13],[1,5,6,8,11,13],[1,5,6,10,12,13],[1,7,8,9,10,11],[2,3,6,7,10,13],[2,3,10,11,12,13],[2,4,5,8,10,11],[2,4,7,9,12,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,5,8,9,12],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,5,7,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,13],[4,5,7,10,11,12]];
G[6992]:=Group([(1,13)(2,7)(3,9)(8,12)(10,11)]);
# Design 6993: autom. group order 2, simple, derived
B[6993]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,10,11,12,13],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,6,7,9,10],[1,5,6,8,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,7,8,11,12],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,5,7,8,9,11],[3,6,9,10,11,12],[4,5,6,7,11,13],[4,5,7,8,10,12]];
G[6993]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 6994: autom. group order 2, simple, derived
B[6994]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,6,9,10,13],[1,4,8,10,12,13],[1,5,6,7,10,13],[1,5,6,8,9,12],[1,7,8,10,11,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,6,8,10,11],[3,5,7,8,9,13],[3,6,9,11,12,13],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[6994]:=Group([(1,9)(3,10)(4,11)(6,8)]);
# Design 6995: autom. group order 2, simple
B[6995]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,8,13],[1,3,8,10,11,12],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,6,8,9,11],[1,7,9,10,11,13],[2,3,6,9,12,13],[2,3,7,9,10,12],[2,4,5,10,11,13],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,7,11,12],[3,4,6,8,10,11],[3,5,7,11,12,13],[3,6,8,9,10,13],[4,5,6,7,9,10],[4,5,7,8,9,12]];
G[6995]:=Group([(1,9)(4,12)(5,10)(6,7)(8,13)]);
# Design 6996: autom. group order 2, simple, derived
B[6996]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,7,9,10,13],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,5,6,11,12,13],[1,7,8,10,11,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[6996]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 6997: autom. group order 2, simple, derived
B[6997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,7,11,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,8,9,13],[1,5,6,10,11,12],[1,7,8,9,10,11],[2,3,6,7,9,12],[2,3,9,10,11,13],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,5,8,9,11,12],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[6997]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 6998: autom. group order 2, simple, derived
B[6998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,10,11,12,13],[1,4,6,7,10,13],[1,4,7,8,9,13],[1,5,6,8,10,11],[1,5,6,9,12,13],[1,7,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,9,11],[3,4,6,8,11,12],[3,4,6,9,12,13],[3,5,7,8,12,13],[3,6,7,9,10,11],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[6998]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 6999: autom. group order 2, simple, derived
B[6999]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,7,9,13],[1,4,8,10,12,13],[1,5,6,7,8,11],[1,5,6,10,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,10,11,13],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,7,8,9,13],[3,6,7,9,10,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[6999]:=Group([(1,11)(3,13)(4,10)(5,8)]);
# Design 7000: autom. group order 2, simple
B[7000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,6,7,8,11],[1,5,6,9,12,13],[1,7,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,9,10,11],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,5,7,10,12,13],[3,6,8,9,10,11],[4,5,6,7,9,12],[4,5,8,10,11,12]];
G[7000]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 7001: autom. group order 2, simple, derived
B[7001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,13],[1,5,6,7,8,11],[1,5,6,9,12,13],[1,7,8,9,10,12],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,9,10,11],[3,4,6,7,11,12],[3,4,6,9,12,13],[3,5,7,10,12,13],[3,6,8,9,10,11],[4,5,6,7,8,9],[4,5,8,10,11,12]];
G[7001]:=Group([(1,11)(3,13)(4,9)(5,7)]);
# Design 7002: autom. group order 2, simple, derived
B[7002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,7,9,10,13],[1,4,6,8,9,12],[1,4,7,8,10,11],[1,5,6,7,12,13],[1,5,6,8,9,13],[1,8,10,11,12,13],[2,3,7,8,12,13],[2,3,8,9,11,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,6,7,8,11],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,7,8,9,13],[4,5,7,9,10,11]];
G[7002]:=Group([(1,9)(3,10)(4,12)(6,8)]);
# Design 7003: autom. group order 2, simple
B[7003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,9,13],[1,3,8,10,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,6,7,10,12],[1,5,6,8,11,12],[1,7,8,9,11,13],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,7,12,13],[3,4,6,8,9,10],[3,5,6,7,8,11],[3,6,9,10,11,13],[4,5,7,9,10,11],[4,5,8,9,10,12]];
G[7003]:=Group([(2,13)(3,7)(4,9)(5,8)(6,11)]);
# Design 7004: autom. group order 2, simple
B[7004]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,6,9,10,13],[1,4,8,9,10,11],[1,5,6,8,12,13],[1,5,7,8,9,12],[1,6,7,10,11,12],[2,3,6,8,9,12],[2,3,6,10,11,12],[2,4,5,10,12,13],[2,4,6,7,8,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,7,9,10,12,13],[3,4,5,11,12,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,6,8,9,10,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[7004]:=Group([(1,8)(2,10)(3,11)(7,9)]);
# Design 7005: autom. group order 2, simple
B[7005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,6,8,12,13],[1,4,7,8,10,11],[1,5,6,10,11,12],[1,5,7,8,10,13],[1,6,7,9,10,12],[2,3,6,7,10,11],[2,3,6,8,12,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,13],[2,7,8,9,11,12],[3,4,5,7,9,12],[3,4,7,10,12,13],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,6,8,9,10,12],[4,5,6,7,9,13],[4,5,6,8,9,11]];
G[7005]:=Group([(2,8)(3,7)(5,10)(6,11)(9,13)]);
# Design 7006: autom. group order 2, simple
B[7006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,8,9,13],[1,3,10,11,12,13],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,7,8,11],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,7,10,13],[2,3,6,8,12,13],[2,4,5,8,11,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,10,12,13],[2,7,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[7006]:=Group([(1,10)(2,8)(3,12)(7,9)]);
# Design 7007: autom. group order 2, simple
B[7007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,9,13],[1,3,10,11,12,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,7,8,12],[1,5,7,8,10,11],[1,6,8,9,11,12],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,7,8,9,12,13],[3,4,5,11,12,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,7,9,11,12],[3,6,7,8,10,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[7007]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 7008: autom. group order 2, simple
B[7008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,11,12],[1,3,9,10,12,13],[1,4,6,7,9,13],[1,4,7,8,10,12],[1,5,6,8,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,8,9,13],[2,7,9,10,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,7,8,9,12],[3,6,7,8,11,13],[4,5,6,7,10,12],[4,5,6,9,11,12]];
G[7008]:=Group([(1,11)(2,13)(5,7)(6,10)(8,9)]);
# Design 7009: autom. group order 2, simple
B[7009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,6,8,9,11],[1,4,9,10,12,13],[1,5,6,7,8,12],[1,5,8,10,11,12],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,6,10,11,12],[2,4,5,7,10,11],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,8,9,13],[3,4,6,8,10,12],[3,4,7,10,11,13],[3,5,7,9,11,12],[3,6,7,8,9,11],[4,5,6,7,9,10],[4,5,6,11,12,13]];
G[7009]:=Group([(1,7)(3,8)(5,12)(6,13)(9,10)]);
# Design 7010: autom. group order 2, simple
B[7010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,8,12],[1,3,8,9,11,13],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,6,8,11,12],[1,5,7,9,10,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,6,10,11,12],[2,4,5,7,10,11],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,8,9,10,11],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,7,9,11],[4,5,6,8,9,12]];
G[7010]:=Group([(1,7)(3,8)(5,12)(6,13)(9,10)]);
# Design 7011: autom. group order 2, simple
B[7011]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,8,12],[1,3,8,10,11,13],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,6,8,11,12],[1,5,7,9,10,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,6,10,11,12],[2,4,5,7,10,11],[2,4,7,8,12,13],[2,5,6,8,10,13],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,7,11,12,13],[3,6,7,8,9,11],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[7011]:=Group([(1,7)(3,8)(5,12)(6,13)(9,10)]);
# Design 7012: autom. group order 2, simple
B[7012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,6,7,8,11],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,6,9,11,12],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,11,12,13],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,5,7,11,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,7,9,10,11],[3,6,7,8,9,12],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[7012]:=Group([(1,8)(3,7)(5,11)(6,13)(9,10)]);
# Design 7013: autom. group order 2, simple
B[7013]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,7,8,11],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,6,8,9,13],[2,3,6,10,11,12],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,11,12,13],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,8,10,12,13],[3,5,7,9,10,11],[3,6,7,8,9,12],[4,5,6,7,10,13],[4,5,6,8,9,10]];
G[7013]:=Group([(1,8)(3,7)(5,11)(6,13)(9,10)]);
# Design 7014: autom. group order 2, simple, derived
B[7014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,6,7,10,12],[1,4,8,9,10,13],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,7,8,13],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,7,9,10,11,12],[3,4,5,7,9,12],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11],[4,5,6,9,11,13]];
G[7014]:=Group([(1,13)(2,6)(4,9)(5,12)]);
# Design 7015: autom. group order 2, simple, derived
B[7015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,6,7,8,12],[1,4,8,9,10,13],[1,5,6,8,9,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,7,10,13],[2,4,8,11,12,13],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,7,9,10,11,12],[3,4,5,7,9,12],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11],[4,5,6,9,11,13]];
G[7015]:=Group([(1,13)(2,6)(4,9)(5,12)]);
# Design 7016: autom. group order 2, simple
B[7016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,7,9,11],[2,5,7,8,9,12],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,7,9,10,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[7016]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 7017: autom. group order 2, simple, derived
B[7017]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,6,8,11,12],[1,4,8,9,10,13],[1,5,6,7,9,10],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,7,8,13],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,7,9,10,11,12],[3,4,5,7,9,12],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11],[4,5,6,9,11,13]];
G[7017]:=Group([(1,13)(2,6)(4,9)(5,12)]);
# Design 7018: autom. group order 2, simple, derived
B[7018]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,6,8,11,12],[1,4,8,9,10,13],[1,5,6,7,8,9],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,7,10,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,7,9,10,11,12],[3,4,5,7,9,12],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11],[4,5,6,9,11,13]];
G[7018]:=Group([(1,13)(2,6)(4,9)(5,12)]);
# Design 7019: autom. group order 2, simple, derived
B[7019]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,6,9,12,13],[1,5,7,8,9,10],[1,6,7,10,11,13],[2,3,6,8,9,13],[2,3,6,10,11,13],[2,4,5,7,11,13],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,8,10,12,13],[2,7,8,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,7,8,12,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[7019]:=Group([(1,11)(2,12)(4,9)(6,7)]);
# Design 7020: autom. group order 2, simple, derived
B[7020]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,8,10,12,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,6,7,12,13],[1,5,7,9,11,12],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,7,9,10,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[7020]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 7021: autom. group order 2, simple
B[7021]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,9,13],[1,3,10,11,12,13],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,7,8,11],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,6,7,10,13],[2,3,6,8,12,13],[2,4,5,8,11,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,10,12,13],[2,7,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[7021]:=Group([(1,10)(2,8)(3,12)(7,9)]);
# Design 7022: autom. group order 2, simple
B[7022]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,9,13],[1,3,10,11,12,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,7,8,12],[1,5,7,8,10,11],[1,6,8,9,11,12],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,10,11,13],[2,7,8,9,12,13],[3,4,5,11,12,13],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,5,7,9,11,12],[3,6,8,9,10,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[7022]:=Group([(1,10)(2,8)(3,11)(7,9)]);
# Design 7023: autom. group order 2, simple, derived
B[7023]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,9,10,11],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,7,8,12,13],[3,6,8,9,11,12],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[7023]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 7024: autom. group order 2, simple, derived
B[7024]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,5,7,8,11,13],[1,6,7,8,9,13],[2,3,6,7,12,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,7,8,9,11],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,7,8,10,11],[3,6,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,10]];
G[7024]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7025: autom. group order 2, simple, derived
B[7025]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,9,12],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,6,7,12,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,7,8,9,11],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,7,8,10,11],[3,6,8,9,11,12],[4,5,6,7,11,13],[4,5,6,8,9,10]];
G[7025]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7026: autom. group order 2, simple, derived
B[7026]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,9,10,12,13],[1,4,6,7,10,12],[1,4,7,8,9,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,6,8,11,13],[2,4,5,8,9,11],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,7,8,10,12],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,8,9,12,13],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,6,10,11,13]];
G[7026]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 7027: autom. group order 2, simple, derived
B[7027]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,12,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,7,8,9,11],[1,6,8,10,11,13],[2,3,6,7,9,13],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,9,10,12,13],[3,6,7,9,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[7027]:=Group([(1,11)(2,12)(5,7)(6,10)]);
# Design 7028: autom. group order 2, simple, derived
B[7028]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,10,12],[1,4,7,8,9,13],[1,5,6,8,12,13],[1,5,7,9,10,12],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,6,9,12,13],[2,4,5,8,9,11],[2,4,8,10,12,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,8,9,12,13],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,6,10,11,13]];
G[7028]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 7029: autom. group order 2, simple
B[7029]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,9,13],[1,3,8,11,12,13],[1,4,6,7,10,11],[1,4,8,9,10,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,5,7,9,12],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,7,9,10,12,13],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,10,12,13],[3,5,8,9,11,12],[3,6,7,9,10,11],[4,5,6,7,8,12],[4,5,6,9,11,13]];
G[7029]:=Group([(1,3)(2,5)(4,9)(6,10)(8,13)]);
# Design 7030: autom. group order 2, simple
B[7030]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,6,7,8,10],[1,4,8,9,10,13],[1,5,6,10,11,12],[1,5,7,8,9,11],[1,6,7,9,12,13],[2,3,6,8,9,11],[2,3,6,8,12,13],[2,4,5,7,11,12],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,10,13],[2,7,8,10,11,12],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,8,9,10,12],[3,6,7,9,10,11],[4,5,6,8,9,12],[4,5,6,8,11,13]];
G[7030]:=Group([(1,11)(2,13)(3,4)(6,10)(8,9)]);
# Design 7031: autom. group order 2, simple
B[7031]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,9,10,12,13],[1,4,6,8,9,11],[1,4,7,9,10,13],[1,5,6,8,10,12],[1,5,7,8,10,11],[1,6,7,8,12,13],[2,3,6,7,8,13],[2,3,6,10,11,13],[2,4,5,7,10,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,7,8,9,10,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,8,9,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,6,10,11,13]];
G[7031]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 7032: autom. group order 2, simple
B[7032]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,9,10,12,13],[1,4,6,8,9,11],[1,4,7,9,10,13],[1,5,6,8,12,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[2,3,6,7,8,13],[2,3,6,10,11,13],[2,4,5,7,10,12],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,7,8,9,11,13],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,8,9,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,6,10,11,13]];
G[7032]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 7033: autom. group order 2, simple
B[7033]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,7,8,9,11],[1,6,7,8,12,13],[2,3,6,7,9,13],[2,3,6,8,11,13],[2,4,5,7,12,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,8,10,11,13],[2,7,8,9,10,11],[3,4,5,8,11,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,9,10,12,13],[3,6,7,9,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[7033]:=Group([(1,11)(2,12)(5,7)(6,10)]);
# Design 7034: autom. group order 2, simple
B[7034]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,9,13],[1,3,8,11,12,13],[1,4,6,8,10,13],[1,4,7,9,10,11],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,8,9,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,8,9,11,12],[3,6,8,9,10,13],[4,5,6,7,8,11],[4,5,6,9,12,13]];
G[7034]:=Group([(1,3)(2,5)(4,9)(6,10)(8,13)]);
# Design 7035: autom. group order 2, simple
B[7035]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,10,13],[1,3,8,11,12,13],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,6,10,11,12],[1,5,7,8,9,12],[1,6,7,8,9,13],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,7,11,13],[2,4,8,9,10,13],[2,5,7,8,10,12],[2,5,8,11,12,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,8,12],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,7,9,10,11,13],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[7035]:=Group([(2,5)(4,10)(6,9)(8,13)(11,12)]);
# Design 7036: autom. group order 2, simple
B[7036]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,10,12,13],[1,3,7,8,12,13],[1,4,6,10,12,13],[1,4,7,8,9,10],[1,5,6,7,10,11],[1,5,8,9,11,12],[1,6,8,9,11,13],[2,3,6,8,10,11],[2,3,6,9,12,13],[2,4,5,7,11,13],[2,4,8,9,10,13],[2,5,7,8,12,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,10,11,12],[3,5,6,7,8,9],[3,7,9,10,11,13],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[7036]:=Group([(2,5)(4,10)(6,9)(7,12)(8,13)]);
# Design 7037: autom. group order 2, simple
B[7037]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,9,11,12],[1,3,7,8,12,13],[1,4,6,8,10,11],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,3,6,10,11,13],[2,4,5,7,10,13],[2,4,8,9,11,12],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,8,9,13],[3,4,6,7,9,13],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,7,8,9,10,11],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[7037]:=Group([(2,13)(3,8)(4,12)(5,6)(9,10)]);
# Design 7038: autom. group order 2, simple, derived
B[7038]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,7,11,12,13],[1,4,6,8,10,13],[1,4,9,10,11,12],[1,5,6,7,10,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,9,10,12,13],[3,5,6,9,10,11],[3,6,7,8,10,11],[4,5,6,7,11,12],[4,5,7,8,9,10]];
G[7038]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 7039: autom. group order 2, simple
B[7039]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,8,11,12],[1,3,7,9,11,13],[1,4,6,9,10,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,8,10,12,13],[2,4,5,6,8,13],[2,4,8,9,10,11],[2,5,7,9,12,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,6,7,8,9,12],[4,5,6,9,11,12],[4,5,7,8,10,12]];
G[7039]:=Group([(1,10)(2,3)(4,12)(5,9)(7,13)]);
# Design 7040: autom. group order 2, simple
B[7040]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,5,6,8,10],[2,4,8,9,12,13],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,6,8,10,11,12],[4,5,6,7,11,12],[4,5,7,9,10,13]];
G[7040]:=Group([(2,6)(3,13)(4,9)(5,11)(7,8)]);
# Design 7041: autom. group order 2, simple, derived
B[7041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,5,6,10,13],[2,4,7,9,11,13],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,7,10,12],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,11],[3,6,7,9,10,11],[4,5,6,7,8,9],[4,5,8,9,11,12]];
G[7041]:=Group([(1,2)(3,4)(5,7)(6,8)(9,11)(10,12)]);
# Design 7042: autom. group order 2, simple
B[7042]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,11,12,13],[1,3,5,8,11,12],[1,3,7,9,11,13],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,9,10,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,8,10,12,13],[2,4,5,6,8,13],[2,4,8,9,10,11],[2,5,7,9,12,13],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,6,7,8,9,12],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[7042]:=Group([(1,10)(2,3)(4,12)(5,9)(7,13)]);
# Design 7043: autom. group order 2, simple, derived
B[7043]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,7,12,13],[1,4,9,10,11,12],[1,5,6,9,10,13],[1,5,7,8,11,12],[1,6,7,8,10,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,6,7,9,11,12],[4,5,6,7,8,9],[4,5,8,9,10,12]];
G[7043]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 7044: autom. group order 2, simple, derived
B[7044]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,6,7,10,13],[1,4,9,10,11,13],[1,5,6,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,5,6,8,10],[2,4,8,9,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,7,9,13],[3,6,7,8,10,11],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[7044]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 7045: autom. group order 2, simple, derived
B[7045]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,9,10,11,12],[1,5,6,7,10,13],[1,5,7,8,11,12],[1,6,7,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,5,6,9,10,11],[3,6,7,8,10,11],[4,5,6,7,8,9],[4,5,8,9,10,12]];
G[7045]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 7046: autom. group order 2, simple, derived
B[7046]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,6,9,10,12],[1,4,7,10,11,13],[1,5,6,7,8,11],[1,5,8,9,10,11],[1,6,8,10,12,13],[2,3,6,8,10,11],[2,3,7,9,10,13],[2,4,5,6,12,13],[2,4,8,9,11,13],[2,5,7,8,10,12],[2,5,10,11,12,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,9,11,13],[3,6,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,13]];
G[7046]:=Group([(1,12)(2,11)(5,7)(6,10)]);
# Design 7047: autom. group order 2, simple, derived
B[7047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,7,8,13],[1,4,7,9,11,12],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,9,10,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,6,7,8,10,11],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[7047]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 7048: autom. group order 2, simple, derived
B[7048]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,8,9,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,6,7,11,13],[1,5,7,10,12,13],[1,6,8,9,10,13],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,5,6,8,13],[2,4,7,9,12,13],[2,5,7,8,10,13],[2,5,8,9,10,11],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,6,7,8,11,13],[4,5,6,10,11,12],[4,5,7,8,9,12]];
G[7048]:=Group([(1,8)(2,7)(5,11)(6,10)(9,13)]);
# Design 7049: autom. group order 2, simple, derived
B[7049]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,10,12,13],[1,4,7,9,11,12],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,6,12,13],[2,4,8,10,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,6,9,10,11,12],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[7049]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 7050: autom. group order 2, simple, derived
B[7050]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,7,8,9,13],[2,4,5,6,8,11],[2,4,8,10,12,13],[2,5,7,8,10,12],[2,5,7,9,10,11],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,10,12,13],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,11,13]];
G[7050]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 7051: autom. group order 2, simple, derived
B[7051]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,8,12,13],[2,3,7,9,11,12],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,5,6,10,11,12],[2,5,7,9,10,13],[2,7,8,10,11,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,9,10,12,13],[3,5,6,7,8,10],[3,6,8,9,11,12],[4,5,6,7,12,13],[4,5,7,8,9,11]];
G[7051]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7052: autom. group order 2, simple
B[7052]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,9,10,11,13],[1,5,6,7,10,12],[1,5,8,9,11,12],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,3,7,10,11,12],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,13],[2,7,8,9,12,13],[3,4,5,10,12,13],[3,4,6,7,11,12],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,6,8,9,10,11],[4,5,6,7,8,9],[4,5,7,8,10,11]];
G[7052]:=Group([(2,6)(3,12)(4,10)(5,8)(9,13)]);
# Design 7053: autom. group order 2, simple
B[7053]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,8,11,12],[1,3,7,10,11,13],[1,4,6,8,11,13],[1,4,9,10,11,12],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,6,9,10,11],[2,5,6,11,12,13],[2,5,7,8,9,11],[2,7,8,10,11,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,6,8,9,11,12],[4,5,6,7,8,10],[4,5,7,8,9,12]];
G[7053]:=Group([(2,6)(3,13)(4,9)(5,8)(10,11)]);
# Design 7054: autom. group order 2, simple
B[7054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,5,8,12,13],[1,3,7,9,11,13],[1,4,6,9,10,12],[1,4,8,9,10,13],[1,5,6,10,11,12],[1,5,7,10,11,13],[1,6,7,8,12,13],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,9,11,13],[2,4,6,7,10,13],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,7,8,9,10,12],[3,4,5,7,10,12],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,6,7,9,10,11],[4,5,6,7,8,11],[4,5,8,9,11,12]];
G[7054]:=Group([(1,2)(3,4)(5,7)(6,8)(9,11)(10,12)]);
# Design 7055: autom. group order 2, simple, derived
B[7055]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,6,8,9,12],[1,4,9,10,11,13],[1,5,6,7,11,12],[1,5,7,8,10,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,5,6,7,9,12],[2,5,8,9,10,11],[2,7,9,11,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,8,9,13],[4,5,6,9,10,13],[4,5,7,8,10,12]];
G[7055]:=Group([(1,12)(2,10)(5,11)(8,9)]);
# Design 7056: autom. group order 2, simple, derived
B[7056]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,7,10,11,12,13],[3,4,5,9,11,13],[3,4,6,7,8,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,10,13],[4,5,8,9,10,11]];
G[7056]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7057: autom. group order 2, simple, derived
B[7057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,8,11,12],[2,5,7,9,10,13],[2,7,10,11,12,13],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,8,13],[4,5,8,9,10,11]];
G[7057]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7058: autom. group order 2, simple
B[7058]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,5,11,12,13],[1,3,8,9,11,12],[1,4,6,8,12,13],[1,4,9,10,11,13],[1,5,6,7,10,12],[1,5,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,7,8,9,12,13],[3,4,5,8,10,13],[3,4,6,7,9,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,6,8,9,10,11],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[7058]:=Group([(2,6)(3,12)(4,10)(5,8)(9,13)]);
# Design 7059: autom. group order 2, simple
B[7059]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,5,6,11,12,13],[2,5,7,8,9,11],[2,7,8,10,12,13],[3,4,5,8,9,12],[3,4,6,7,10,13],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,8,11],[4,5,8,9,10,13]];
G[7059]:=Group([(2,6)(3,13)(4,9)(5,8)(10,12)]);
# Design 7060: autom. group order 2, simple
B[7060]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,7,11,12],[1,3,9,10,12,13],[1,4,6,7,9,13],[1,4,7,8,10,12],[1,5,6,8,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,8,9,12,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,5,6,7,10,13],[2,5,7,8,9,13],[2,7,9,10,11,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,6,7,8,11,13],[4,5,6,9,11,12],[4,5,7,8,9,12]];
G[7060]:=Group([(1,11)(2,13)(5,7)(6,10)(8,9)]);
# Design 7061: autom. group order 2, simple
B[7061]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,6,10,11,13],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,10],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,12,13]];
G[7061]:=Group([(1,7)(2,8)(5,11)(6,9)(10,12)]);
# Design 7062: autom. group order 2, simple
B[7062]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,7,8,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,7,9,11,13],[2,7,8,9,10,12],[3,4,5,8,10,12],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,6,7,8,9,11],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[7062]:=Group([(2,13)(3,8)(4,9)(5,6)(7,12)(10,11)]);
# Design 7063: autom. group order 2, simple
B[7063]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,8,9,11,12],[1,4,6,9,10,13],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,8,9],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,8,12,13],[3,6,7,8,9,11],[4,5,6,9,11,12],[4,5,7,8,10,12]];
G[7063]:=Group([(1,10)(2,3)(4,12)(5,9)(7,13)]);
# Design 7064: autom. group order 2, simple
B[7064]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,8,9,11,12],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,9,10,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[2,3,6,9,10,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,7,8,9],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,8,12,13],[3,6,7,8,9,11],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[7064]:=Group([(1,10)(2,3)(4,12)(5,9)(7,13)]);
# Design 7065: autom. group order 2, simple, derived
B[7065]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,12,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,6,7,11,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,8,12,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,7,8,9,10,12],[3,4,5,7,8,11],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,6,7,8,9,10],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[7065]:=Group([(2,11)(3,13)(4,10)(5,8)]);
# Design 7066: autom. group order 2, simple
B[7066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,6,7,10,12],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,5,7,9,11,12],[1,6,8,9,12,13],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,5,8,11,12],[2,4,6,8,9,13],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,7,8,10,11,12],[3,4,5,7,11,13],[3,4,6,11,12,13],[3,4,8,9,10,12],[3,5,6,7,9,12],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[7066]:=Group([(1,11)(2,13)(3,4)(6,7)(8,12)(9,10)]);
# Design 7067: autom. group order 2, simple, derived
B[7067]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[7067]:=Group([(1,11)(3,13)(5,8)]);
# Design 7068: autom. group order 2, simple, derived
B[7068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,6,7,8,10,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[7068]:=Group([(1,11)(3,13)(5,8)]);
# Design 7069: autom. group order 2, simple, derived
B[7069]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[7069]:=Group([(1,11)(3,13)(5,8)]);
# Design 7070: autom. group order 2, simple, derived
B[7070]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,6,7,8,10,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[7070]:=Group([(1,11)(3,13)(5,8)]);
# Design 7071: autom. group order 2, simple, derived
B[7071]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[7071]:=Group([(1,11)(3,13)(5,8)]);
# Design 7072: autom. group order 2, simple, derived
B[7072]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,6,7,8,10,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[7072]:=Group([(1,11)(3,13)(5,8)]);
# Design 7073: autom. group order 2, simple, derived
B[7073]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,6,7,8,9,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[7073]:=Group([(1,11)(3,13)(5,8)]);
# Design 7074: autom. group order 2, simple, derived
B[7074]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,6,7,8,10,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[7074]:=Group([(1,11)(3,13)(5,8)]);
# Design 7075: autom. group order 2, simple, derived
B[7075]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,6,9,10,13],[1,4,7,10,11,12],[1,5,6,8,9,12],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,6,7,9,11],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,7,8,9,12],[3,5,6,10,11,12],[3,6,7,9,12,13],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[7075]:=Group([(1,12)(3,13)(6,8)(7,10)]);
# Design 7076: autom. group order 2, simple
B[7076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,8,9,10,12],[1,4,6,10,11,13],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,8,9,12],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,7,8,9,10,13],[3,4,5,7,9,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,5,6,7,10,12],[3,6,7,9,11,12],[4,5,6,8,9,10],[4,5,8,10,11,12]];
G[7076]:=Group([(1,10)(3,9)(4,13)(6,11)]);
# Design 7077: autom. group order 2, simple, derived
B[7077]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,8,11,13],[1,3,8,9,10,12],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,7,10,12,13],[1,6,7,10,11,12],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,11,12],[2,4,6,8,10,12],[2,5,6,7,8,13],[2,5,9,10,11,13],[2,7,8,9,10,11],[3,4,5,7,10,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,8,9,12,13]];
G[7077]:=Group([(1,9)(3,10)(4,11)(6,13)]);
# Design 7078: autom. group order 2, simple
B[7078]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,6,7,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,10,12],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,5,6,8,11,12],[2,5,9,10,12,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,6,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[7078]:=Group([(1,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 7079: autom. group order 2, simple
B[7079]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,6,10,11,13],[1,4,8,9,11,13],[1,5,6,7,12,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,12],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,6,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,10,11]];
G[7079]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7080: autom. group order 2, simple, derived
B[7080]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,7,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,6,7,9,12],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,10,11]];
G[7080]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7081: autom. group order 2, simple
B[7081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,6,7,12,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,6,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,10,11]];
G[7081]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7082: autom. group order 2, simple, derived
B[7082]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,6,9,10,12],[1,4,8,10,12,13],[1,5,6,7,12,13],[1,5,7,8,9,11],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,8,11,12],[2,5,9,10,11,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,8,9,10],[4,5,7,8,10,11]];
G[7082]:=Group([(1,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7083: autom. group order 2, simple
B[7083]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,7,8,9,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,9,10,12],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,6,7,10,13],[2,5,6,7,8,11],[2,5,7,8,10,12],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,10,11,13],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,8,9,12,13]];
G[7083]:=Group([(1,11)(2,12)(5,7)(6,9)(8,10)]);
# Design 7084: autom. group order 2, simple
B[7084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,5,7,11,13],[1,3,8,10,11,12],[1,4,6,7,8,11],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,8,9,10,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,7,10,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,8,11,12,13],[2,7,8,9,10,11],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,6,7,10,11,13],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[7084]:=Group([(1,5)(2,8)(3,13)(4,12)(7,11)]);
# Design 7085: autom. group order 2, simple, derived
B[7085]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,6,7,9,12],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,6,8,9,11],[2,3,7,8,11,12],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,7,9,10,11,13],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,10,11,12],[3,6,8,9,12,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[7085]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7086: autom. group order 2, simple, derived
B[7086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,8,9,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,6,7,12,13],[2,5,7,8,10,11],[2,5,9,10,12,13],[2,6,7,8,10,13],[3,4,5,6,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,6,7,9,11,12],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[7086]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 7087: autom. group order 2, simple
B[7087]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,6,7,10,12],[1,4,8,10,11,13],[1,5,6,9,12,13],[1,5,7,8,9,11],[1,6,8,9,10,13],[2,3,6,9,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,10],[2,5,7,8,10,13],[2,5,7,9,10,12],[2,6,7,8,11,12],[3,4,5,6,7,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,8,10,11],[3,6,7,8,9,12],[4,5,6,10,11,12],[4,5,7,9,11,13]];
G[7087]:=Group([(1,9)(2,11)(3,7)(6,13)(8,10)]);
# Design 7088: autom. group order 2, simple, derived
B[7088]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,12,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,9,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,6,11,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,6,9,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[7088]:=Group([(2,11)(3,13)(4,10)(5,8)]);
# Design 7089: autom. group order 2, simple, derived
B[7089]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,9,10,11,13],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,8,9,11,12],[3,4,5,6,12,13],[3,4,7,8,11,13],[3,4,7,10,11,12],[3,5,6,9,11,13],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[7089]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 7090: autom. group order 2, simple
B[7090]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,9,10,11,13],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,6,12,13],[3,4,7,8,11,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,6,8,9,10,11],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[7090]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 7091: autom. group order 2, simple, derived
B[7091]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,12,13],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,6,9,11,12],[1,4,8,10,12,13],[1,5,6,7,8,10],[1,5,7,8,9,13],[1,6,8,9,11,13],[2,3,6,8,11,13],[2,3,7,8,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,11,12],[2,5,6,8,9,12],[2,7,9,10,11,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,5,8,9,10,11],[3,6,7,9,10,12],[4,5,6,7,10,13],[4,5,7,8,11,12]];
G[7091]:=Group([(1,11)(2,8)(4,6)(5,10)(7,13)]);
# Design 7092: autom. group order 2, simple
B[7092]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,12],[1,3,9,10,11,13],[1,4,6,8,9,12],[1,4,7,8,11,13],[1,5,6,8,9,13],[1,5,8,10,12,13],[1,6,7,10,11,12],[2,3,6,8,10,11],[2,3,7,8,12,13],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,8,9,10,11,12],[3,4,5,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,7,8,9,11],[3,6,7,9,12,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[7092]:=Group([(1,9)(2,13)(4,6)(5,11)(8,12)]);
# Design 7093: autom. group order 2, simple
B[7093]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,9,10,11,13],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,10,11],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,7,8,10,11,13],[3,4,5,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,10,11,12],[3,6,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[7093]:=Group([(1,11)(2,12)(4,6)(5,10)(7,9)]);
# Design 7094: autom. group order 2, simple, derived
B[7094]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,12,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,6,8,10,11,13],[2,3,6,7,11,13],[2,3,9,11,12,13],[2,4,5,7,8,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,5,7,8,10,11],[3,6,7,8,9,10],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[7094]:=Group([(2,11)(3,13)(4,10)(5,8)]);
# Design 7095: autom. group order 2, simple
B[7095]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,11,12,13],[1,3,7,8,10,11],[1,4,6,7,11,13],[1,4,8,9,10,13],[1,5,6,8,10,12],[1,5,7,9,12,13],[1,6,8,9,11,12],[2,3,6,8,11,12],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,7,10,11,12],[2,5,6,7,8,9],[2,5,6,10,11,13],[2,8,9,10,11,13],[3,4,5,9,10,11],[3,4,6,8,9,13],[3,4,6,10,12,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[7095]:=Group([(1,10)(3,13)(4,11)(5,6)(7,9)]);
# Design 7096: autom. group order 2, simple, derived
B[7096]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,9,10,13],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,10,11],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,7,11,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,6,8,10,11],[2,7,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,12,13]];
G[7096]:=Group([(1,11)(2,12)(4,9)(6,7)]);
# Design 7097: autom. group order 2, simple
B[7097]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,9,10,13],[1,4,6,8,10,12],[1,4,8,9,11,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,7,11,13],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,6,8,10,11],[2,7,8,9,10,11],[3,4,5,10,11,12],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,12,13]];
G[7097]:=Group([(1,11)(2,12)(4,9)(6,7)]);
# Design 7098: autom. group order 2, simple
B[7098]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,9,11,13],[1,3,7,10,11,12],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,6,8,11,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,8,11,13],[2,3,7,8,9,12],[2,4,5,8,10,11],[2,4,7,11,12,13],[2,5,6,7,10,12],[2,5,6,9,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,10,11,13],[3,6,8,9,10,12],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[7098]:=Group([(1,10)(2,12)(4,6)(5,11)(7,9)]);
# Design 7099: autom. group order 2, simple
B[7099]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,9,11,13],[1,3,7,10,11,13],[1,4,6,8,11,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,7,8,12,13],[1,6,7,8,9,10],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,10,11],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,6,9,12,13],[2,8,9,10,11,13],[3,4,5,8,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,7,10,11,12],[3,6,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[7099]:=Group([(1,11)(2,12)(4,6)(5,10)(7,9)]);
# Design 7100: autom. group order 2, simple, derived
B[7100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,10,11,12,13],[1,4,6,7,10,13],[1,4,7,8,9,12],[1,5,6,8,9,11],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,6,7,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,9,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[7100]:=Group([(1,12)(3,13)(4,9)]);
# Design 7101: autom. group order 2, simple, derived
B[7101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,10,11,12,13],[1,4,6,7,10,13],[1,4,7,8,9,12],[1,5,6,8,11,12],[1,5,7,9,10,11],[1,6,8,9,10,13],[2,3,6,7,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,9,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,7,8,11,13],[3,6,7,9,10,12],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[7101]:=Group([(1,12)(3,13)(4,9)]);
# Design 7102: autom. group order 2, simple
B[7102]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,6,7,8,12],[1,5,7,10,11,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,6,9,10,12],[2,7,9,10,12,13],[3,4,5,7,10,12],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[7102]:=Group([(1,9)(3,10)(4,12)(8,13)]);
# Design 7103: autom. group order 2, simple, derived
B[7103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,8,9,10,11],[1,5,6,7,8,9],[1,5,7,10,12,13],[1,6,8,9,12,13],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,5,8,11,13],[2,4,7,8,12,13],[2,5,6,8,10,12],[2,5,6,9,11,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,9,12,13],[3,4,6,10,11,12],[3,5,7,8,11,12],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[7103]:=Group([(1,11)(3,13)(4,9)(8,10)]);
# Design 7104: autom. group order 2, simple, derived
B[7104]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,9,10,11,13],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,8,9,11,12],[3,4,5,7,12,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,5,7,9,11,13],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[7104]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 7105: autom. group order 2, simple, derived
B[7105]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,8,9,11],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,7,8,11,13],[3,6,8,9,10,12],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[7105]:=Group([(1,12)(3,13)(4,9)]);
# Design 7106: autom. group order 2, simple, derived
B[7106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,12,13],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,8,11,12],[1,5,7,9,10,11],[1,6,7,9,10,13],[2,3,6,7,11,12],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,8,9,12,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,7,8,11,13],[3,6,8,9,10,12],[4,5,6,8,9,11],[4,5,7,10,11,12]];
G[7106]:=Group([(1,12)(3,13)(4,9)]);
# Design 7107: autom. group order 2, simple, derived
B[7107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,6,7,9,10],[1,5,7,8,12,13],[1,6,7,8,9,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,8,10,12],[2,5,6,9,11,13],[2,7,9,10,11,13],[3,4,5,7,9,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,5,7,10,11,12],[3,6,8,9,11,12],[4,5,6,7,8,11],[4,5,8,9,10,12]];
G[7107]:=Group([(1,11)(3,13)(4,9)(8,10)]);
# Design 7108: autom. group order 2, simple, derived
B[7108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,6,7,8,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,6,8,9,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,5,6,11,13],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,5,9,10,11,12],[3,6,7,8,10,11],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[7108]:=Group([(2,11)(3,13)(4,9)(5,8)]);
# Design 7109: autom. group order 2, simple
B[7109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,9,11,12,13],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,6,9,12],[3,4,6,7,8,11],[3,4,8,9,10,13],[3,5,7,11,12,13],[3,6,8,9,11,12],[4,5,6,7,10,13],[4,5,7,9,10,11]];
G[7109]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7110: autom. group order 2, simple
B[7110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,9,11,12,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,6,9,12],[3,4,6,7,10,11],[3,4,8,9,10,13],[3,5,7,11,12,13],[3,6,8,9,11,12],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[7110]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7111: autom. group order 2, simple
B[7111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,8,9,11],[1,5,7,8,10,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,8,9,13],[2,4,5,9,10,11],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,6,8,13],[3,4,6,7,10,11],[3,4,8,9,11,12],[3,5,8,10,11,12],[3,6,7,9,11,13],[4,5,6,7,9,12],[4,5,7,9,10,13]];
G[7111]:=Group([(1,9)(2,5)(3,10)(6,11)(8,13)]);
# Design 7112: autom. group order 2, simple, derived
B[7112]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,7,12,13],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,8,9,11,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,6,8,9],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,7,8,11,13],[3,6,8,9,11,12],[4,5,6,10,12,13],[4,5,7,9,11,12]];
G[7112]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7113: autom. group order 2, simple
B[7113]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,8,9,11,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,5,6,8,9],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,5,7,8,11,13],[3,6,8,9,11,12],[4,5,6,7,10,13],[4,5,9,10,11,12]];
G[7113]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7114: autom. group order 2, simple
B[7114]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,10,12,13],[2,3,7,9,11,12],[2,4,5,8,12,13],[2,4,8,9,11,13],[2,5,6,8,10,11],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,5,6,8,9],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,7,8,11,13],[3,6,8,9,11,12],[4,5,6,7,12,13],[4,5,9,10,11,12]];
G[7114]:=Group([(2,6)(3,13)(4,9)(5,11)]);
# Design 7115: autom. group order 2, simple, derived
B[7115]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,5,7,12,13],[1,3,9,11,12,13],[1,4,6,8,9,13],[1,4,7,10,11,13],[1,5,6,7,10,12],[1,5,8,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,7,9,10,11],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,6,11,12],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[7115]:=Group([(1,12)(3,13)(5,7)(6,10)]);
# Design 7116: autom. group order 2, simple
B[7116]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,7,11,13],[1,3,8,11,12,13],[1,4,6,8,9,13],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,9,10,12,13],[1,6,7,10,11,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,9,11,12],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,6,10,11],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,7,8,9,11],[3,6,8,9,10,13],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[7116]:=Group([(1,6)(2,13)(3,9)(5,8)]);
# Design 7117: autom. group order 2, simple, derived
B[7117]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,10,11,13],[1,4,6,9,11,13],[1,4,7,8,12,13],[1,5,6,10,12,13],[1,5,8,9,10,12],[1,6,7,8,9,10],[2,3,6,8,9,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,7,9,11,13],[2,6,8,10,11,13],[3,4,5,6,12,13],[3,4,6,7,9,10],[3,4,8,10,11,12],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[7117]:=Group([(1,11)(2,12)(4,9)(5,8)]);
# Design 7118: autom. group order 2, simple
B[7118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,11,12,13],[1,3,7,8,11,13],[1,4,6,8,9,13],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,9,10,12,13],[1,6,7,10,11,12],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,6,10,11],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,7,8,9,11],[3,6,8,9,10,13],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[7118]:=Group([(1,6)(2,13)(3,9)(5,8)]);
# Design 7119: autom. group order 2, simple
B[7119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,9,10,13],[1,4,8,10,11,13],[1,5,6,8,11,12],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,5,6,10,12],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,8,9,10,11],[3,6,7,9,11,12],[4,5,6,7,11,13],[4,5,7,9,10,11]];
G[7119]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7120: autom. group order 2, simple
B[7120]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,11,12,13],[1,3,8,9,11,13],[1,4,6,7,9,10],[1,4,8,10,12,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,9,10,11,13],[3,4,5,6,9,13],[3,4,6,8,10,11],[3,4,7,10,11,13],[3,5,7,8,9,12],[3,6,7,9,11,12],[4,5,6,8,11,12],[4,5,7,9,10,12]];
G[7120]:=Group([(1,9)(3,10)(4,11)(6,8)(7,13)]);
# Design 7121: autom. group order 2, simple
B[7121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,12,13],[1,3,5,11,12,13],[1,3,8,9,12,13],[1,4,6,8,10,12],[1,4,8,10,11,13],[1,5,6,7,8,9],[1,5,7,10,11,12],[1,6,7,9,11,13],[2,3,6,7,8,11],[2,3,7,10,11,12],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,6,11,13],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,7,8,10,13],[3,6,8,9,10,12],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[7121]:=Group([(1,6)(2,12)(3,10)(5,8)]);
# Design 7122: autom. group order 2, simple, derived
B[7122]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,9,11,13],[1,4,7,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,12],[1,6,7,8,9,10],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,9,10,11,13],[2,6,7,8,11,13],[3,4,5,6,12,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,8,10,11],[4,5,7,9,10,13]];
G[7122]:=Group([(1,11)(2,12)(4,9)(5,7)]);
# Design 7123: autom. group order 2, simple
B[7123]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,9,10,11],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,7,8,9,12],[1,6,7,8,9,13],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,9,10,11,13],[2,6,7,8,10,11],[3,4,5,6,12,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,13]];
G[7123]:=Group([(1,11)(2,12)(4,9)(5,7)]);
# Design 7124: autom. group order 2, simple
B[7124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,8,9,11],[1,4,7,8,12,13],[1,5,6,8,10,12],[1,5,7,9,10,12],[1,6,7,9,10,13],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,6,12,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[7124]:=Group([(1,11)(2,12)(4,9)(5,7)]);
# Design 7125: autom. group order 2, simple
B[7125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,6,8,12,13],[1,4,7,10,11,13],[1,5,6,8,9,11],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,6,7,11,13],[2,3,7,8,11,12],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,5,6,10,12],[3,4,6,7,9,13],[3,4,8,9,10,13],[3,5,8,10,11,13],[3,6,8,9,11,12],[4,5,6,7,9,11],[4,5,7,10,11,12]];
G[7125]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 7126: autom. group order 2, simple, derived
B[7126]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,9,12],[1,3,7,10,11,13],[1,4,6,9,10,11],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[7126]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 7127: autom. group order 2, simple
B[7127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,11,12,13],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,5,7,9,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,5,6,7,11,12],[3,7,9,10,11,13],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[7127]:=Group([(2,6)(3,13)(4,9)(5,11)(7,8)]);
# Design 7128: autom. group order 2, simple, derived
B[7128]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,8,12,13],[1,3,8,10,11,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,6,7,10,12],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,9,11,12],[2,3,7,10,11,13],[2,4,5,8,9,10],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,10,12,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,5,6,7,9,13],[3,7,8,9,10,11],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[7128]:=Group([(1,13)(3,12)(4,10)(5,8)]);
# Design 7129: autom. group order 2, simple, derived
B[7129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,8,12],[1,3,5,7,11,13],[1,3,7,9,12,13],[1,4,6,9,11,12],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,8,10,12],[3,7,8,9,10,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[7129]:=Group([(1,7)(2,8)(5,11)]);
# Design 7130: autom. group order 2, simple, derived
B[7130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,8,12],[1,3,5,7,11,13],[1,3,7,9,12,13],[1,4,6,9,11,12],[1,4,8,10,12,13],[1,5,6,8,10,13],[1,5,7,10,11,12],[1,6,8,9,11,13],[2,3,6,10,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,8,10,12],[3,7,8,9,10,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[7130]:=Group([(1,7)(2,8)(5,11)]);
# Design 7131: autom. group order 2, simple, derived
B[7131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,11,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,10,11,12,13],[2,5,6,9,10,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,5,6,8,10,11],[3,7,9,10,11,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[7131]:=Group([(1,9)(2,12)(3,6)(5,8)]);
# Design 7132: autom. group order 2, simple, derived
B[7132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,11,12],[1,3,8,11,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,10,13],[2,4,5,8,10,12],[2,4,10,11,12,13],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,5,6,8,10,11],[3,7,9,10,11,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[7132]:=Group([(1,9)(2,12)(3,6)(5,8)]);
# Design 7133: autom. group order 2, simple, derived
B[7133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,8,12],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,6,9,11,12],[1,4,7,10,12,13],[1,5,6,8,9,13],[1,5,7,10,11,12],[1,6,8,10,11,13],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,8,10,12],[3,7,8,9,10,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[7133]:=Group([(1,7)(2,8)(5,11)]);
# Design 7134: autom. group order 2, simple, derived
B[7134]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,8,12],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,6,9,11,12],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,7,10,11,12],[1,6,8,9,11,13],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,8,10,12],[3,7,8,9,10,11],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[7134]:=Group([(1,7)(2,8)(5,11)]);
# Design 7135: autom. group order 2, simple
B[7135]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,7,11,13],[1,3,8,9,11,13],[1,4,6,10,11,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,11,13],[2,6,9,10,11,13],[3,4,5,10,12,13],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,5,6,9,11,12],[3,7,8,10,11,12],[4,5,6,7,8,9],[4,5,7,9,10,11]];
G[7135]:=Group([(1,11)(2,12)(4,6)(5,8)(7,9)]);
# Design 7136: autom. group order 2, simple
B[7136]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,6,10,11,13],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,6,8,9,12],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,8,9,10],[4,5,7,9,11,13]];
G[7136]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7137: autom. group order 2, simple, derived
B[7137]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,10,12,13],[1,3,7,8,11,12],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,11,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,10,11,12,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,5,6,8,10,11],[3,7,9,10,11,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[7137]:=Group([(1,9)(2,12)(3,6)(5,8)]);
# Design 7138: autom. group order 2, simple, derived
B[7138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,9,10,13],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,6,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,7,11,12],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,5,6,8,9,12],[3,7,9,10,11,12],[4,5,6,7,9,10],[4,5,7,8,12,13]];
G[7138]:=Group([(1,11)(3,13)(4,9)(6,7)]);
# Design 7139: autom. group order 2, simple
B[7139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,7,9,13],[1,5,8,9,10,12],[1,6,7,8,10,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,5,7,8,12],[2,4,7,9,10,13],[2,5,6,10,12,13],[2,5,8,9,11,13],[2,6,7,10,11,12],[3,4,5,7,10,13],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,5,6,7,8,11],[3,7,8,9,12,13],[4,5,6,8,10,11],[4,5,7,9,11,12]];
G[7139]:=Group([(2,10)(3,9)(4,8)(6,12)(7,11)]);
# Design 7140: autom. group order 2, simple, derived
B[7140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,7,9,10,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,6,8,9,12],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,8,9,10,11],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,5,6,11,12,13],[3,7,8,9,11,12],[4,5,6,7,9,10],[4,5,7,8,10,12]];
G[7140]:=Group([(1,9)(3,10)(4,11)(6,8)(7,13)]);
# Design 7141: autom. group order 2, simple
B[7141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,8,11,12],[1,3,9,10,11,13],[1,4,6,7,9,10],[1,4,8,9,12,13],[1,5,6,7,8,11],[1,5,7,10,12,13],[1,6,8,10,12,13],[2,3,6,9,12,13],[2,3,7,8,10,12],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,8,11,13],[3,4,6,10,11,12],[3,5,6,7,9,13],[3,7,8,9,10,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[7141]:=Group([(2,13)(3,12)(4,10)(5,8)]);
# Design 7142: autom. group order 2, simple, derived
B[7142]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,12,13],[1,3,8,10,11,13],[1,4,6,7,8,13],[1,4,9,10,12,13],[1,5,6,8,11,12],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,7,9,13],[3,7,8,9,11,12],[4,5,6,10,11,13],[4,5,7,8,9,10]];
G[7142]:=Group([(1,11)(2,12)(5,7)(8,10)]);
# Design 7143: autom. group order 2, simple, derived
B[7143]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,8,11,13],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,7,8,9,11],[2,4,5,8,10,12],[2,4,10,11,12,13],[2,5,6,9,10,13],[2,5,7,8,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,5,6,8,10,11],[3,7,9,10,11,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[7143]:=Group([(1,9)(2,12)(3,6)(5,8)]);
# Design 7144: autom. group order 2, simple, derived
B[7144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,7,11,12],[1,3,5,8,11,13],[1,3,8,9,12,13],[1,4,6,9,11,12],[1,4,7,10,12,13],[1,5,6,7,9,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,8,9,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,7,10,11],[3,7,9,10,11,12],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[7144]:=Group([(1,11)(3,13)(4,9)(5,8)]);
# Design 7145: autom. group order 2, simple, derived
B[7145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,7,9,10,12],[1,4,6,7,8,9],[1,4,8,10,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,10,12,13],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,6,8,9,13],[3,7,8,9,11,12],[4,5,6,9,10,12],[4,5,7,9,11,13]];
G[7145]:=Group([(1,12)(2,11)(5,8)(7,10)]);
# Design 7146: autom. group order 2, simple, derived
B[7146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,7,10,12,13],[1,4,6,7,8,13],[1,4,8,9,10,11],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,5,7,9,12],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,6,8,11,12],[3,5,6,8,9,13],[3,7,8,9,11,12],[4,5,6,10,12,13],[4,5,7,9,11,13]];
G[7146]:=Group([(1,12)(2,11)(5,8)(7,10)]);
# Design 7147: autom. group order 2, simple
B[7147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,7,8,9,12],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,8,9,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,5,6,7,12,13],[3,8,9,11,12,13],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[7147]:=Group([(1,9)(2,8)(4,13)(5,12)(6,11)(7,10)]);
# Design 7148: autom. group order 2, simple
B[7148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,8,9,10,11],[2,3,6,7,10,11],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,5,6,9,10,13],[3,7,8,10,11,12],[4,5,6,10,11,12],[4,5,7,9,11,13]];
G[7148]:=Group([(1,9)(2,12)(3,4)(5,7)]);
# Design 7149: autom. group order 2, simple, derived
B[7149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,6,8,9,11,13],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,9,10,11],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,12,13],[3,7,9,10,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[7149]:=Group([(1,11)(2,12)(5,7)]);
# Design 7150: autom. group order 2, simple, derived
B[7150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,9,10,12,13],[1,4,6,7,8,9],[1,4,7,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,5,6,7,9,13],[3,7,8,9,11,12],[4,5,6,9,10,11],[4,5,8,9,12,13]];
G[7150]:=Group([(1,11)(2,12)(5,7)(8,10)]);
# Design 7151: autom. group order 2, simple, derived
B[7151]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,6,8,9,10],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,8,11,13],[4,5,7,9,10,13]];
G[7151]:=Group([(1,11)(2,12)(4,9)]);
# Design 7152: autom. group order 2, simple, derived
B[7152]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,12],[1,4,9,10,11,13],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,6,8,9,10],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,8,11,13],[4,5,7,10,12,13]];
G[7152]:=Group([(1,11)(2,12)(4,9)]);
# Design 7153: autom. group order 2, simple, derived
B[7153]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,6,7,10,12],[1,4,8,9,12,13],[1,5,6,9,10,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,6,8,9,10],[3,5,6,9,11,12],[3,7,9,10,11,12],[4,5,6,8,11,13],[4,5,7,10,12,13]];
G[7153]:=Group([(1,11)(2,12)(4,9)(8,10)]);
# Design 7154: autom. group order 2, simple, derived
B[7154]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,6,8,9,12],[1,5,7,9,10,11],[1,6,7,8,10,12],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,12,13],[3,7,9,10,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[7154]:=Group([(1,11)(2,12)(5,7)]);
# Design 7155: autom. group order 2, simple, derived
B[7155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,13],[1,4,8,9,11,13],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,8,9,12],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,12,13],[3,7,9,10,11,12],[4,5,6,10,11,13],[4,5,7,8,9,13]];
G[7155]:=Group([(1,11)(2,12)(5,7)]);
# Design 7156: autom. group order 2, simple, derived
B[7156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,6,8,9,12],[1,5,7,9,10,11],[1,6,7,8,10,12],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,9,10,12,13],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,12,13],[3,7,9,10,11,12],[4,5,6,7,10,13],[4,5,8,9,11,13]];
G[7156]:=Group([(1,11)(2,12)(5,7)]);
# Design 7157: autom. group order 2, simple, derived
B[7157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,8,9,12],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,9,10,12,13],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,6,9,12,13],[3,7,9,10,11,12],[4,5,6,7,10,13],[4,5,8,9,11,13]];
G[7157]:=Group([(1,11)(2,12)(5,7)]);
# Design 7158: autom. group order 2, simple
B[7158]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,6,7,8,11],[1,4,8,9,10,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,7,9,12],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,5,6,8,9,11],[3,7,8,9,11,12],[4,5,6,8,12,13],[4,5,7,10,11,13]];
G[7158]:=Group([(1,8)(2,3)(4,7)(5,13)(9,12)]);
# Design 7159: autom. group order 2, simple
B[7159]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,11,12,13],[1,3,7,10,11,13],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,6,7,8,12],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,8,13],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,7,9,10,11],[3,4,5,7,9,12],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,5,6,8,9,11],[3,7,8,9,11,12],[4,5,6,7,11,13],[4,5,8,10,12,13]];
G[7159]:=Group([(1,8)(2,3)(4,7)(5,13)(9,12)]);
# Design 7160: autom. group order 2, simple
B[7160]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,9,12],[1,3,5,8,12,13],[1,3,7,10,11,13],[1,4,6,10,11,12],[1,4,9,10,12,13],[1,5,6,9,11,13],[1,5,7,8,11,12],[1,6,7,8,10,13],[2,3,8,10,11,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,7,8,9,10,13],[3,4,5,7,12,13],[3,4,6,8,9,13],[3,4,6,8,10,11],[3,5,6,7,9,10],[3,6,7,9,11,12],[4,5,7,8,9,11],[4,5,8,9,10,12]];
G[7160]:=Group([(1,2)(3,4)(5,7)(6,8)(10,11)]);
# Design 7161: autom. group order 2, simple
B[7161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,7,12,13],[1,3,8,10,11,13],[1,4,6,9,10,12],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,5,7,9,11,13],[1,6,7,8,9,10],[2,3,7,10,11,12],[2,3,8,9,11,12],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,10,12,13],[2,6,9,10,11,13],[3,4,5,6,10,11],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,5,6,9,12,13],[3,6,7,8,9,12],[4,5,7,8,9,11],[4,5,7,10,11,12]];
G[7161]:=Group([(1,6)(3,13)(4,7)(5,11)(8,12)(9,10)]);
# Design 7162: autom. group order 2, simple
B[7162]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,10,12,13],[1,3,7,9,11,12],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,6,8,9,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,6,8,11,12],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,5,6,8,11],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,5,6,7,9,12],[3,6,9,10,11,13],[4,5,7,8,9,10],[4,5,7,10,11,12]];
G[7162]:=Group([(1,12)(3,8)(4,11)(5,6)(7,13)]);
# Design 7163: autom. group order 2, simple
B[7163]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,11,12],[1,3,7,9,10,13],[1,4,6,8,9,12],[1,4,7,8,10,11],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,8,9,11,13],[2,3,7,8,12,13],[2,3,8,9,11,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,6,7,8,11],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,5,6,9,13],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,7,8,9,13],[4,5,7,9,10,11]];
G[7163]:=Group([(1,9)(3,10)(4,12)(6,8)]);
# Design 7164: autom. group order 2, simple, derived
B[7164]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,8,11,13],[1,3,7,9,12,13],[1,4,7,10,11,13],[1,4,8,10,12,13],[1,5,6,7,12,13],[1,5,6,8,9,11],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,5,7,8,9,12],[2,5,7,10,11,12],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,7,9,10,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[7164]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 7165: autom. group order 2, simple, derived
B[7165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,7,8,9,10],[1,4,9,10,12,13],[1,5,6,7,9,11],[1,5,6,8,10,12],[1,6,7,8,12,13],[2,3,6,7,10,13],[2,3,6,8,9,12],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,5,7,8,12,13],[2,5,8,9,11,13],[2,7,8,9,10,11],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,9,10,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[7165]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 7166: autom. group order 2, simple, derived
B[7166]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,8,10,11,13],[1,4,7,8,9,10],[1,4,9,10,12,13],[1,5,6,7,9,11],[1,5,6,8,12,13],[1,6,7,8,10,12],[2,3,6,7,10,13],[2,3,6,8,9,12],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,7,8,9,11,13],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,9,10,12,13],[3,6,7,10,11,12],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[7166]:=Group([(1,11)(2,12)(5,7)(6,9)]);
# Design 7167: autom. group order 2, simple, derived
B[7167]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,11,12,13],[1,3,8,9,10,13],[1,4,7,8,9,13],[1,4,7,10,11,12],[1,5,6,8,9,12],[1,5,6,10,11,13],[1,6,7,8,10,12],[2,3,6,7,9,11],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,5,7,8,11,12],[3,6,7,9,12,13],[4,5,6,8,9,11],[4,5,7,9,10,11]];
G[7167]:=Group([(1,12)(3,13)(6,8)(7,10)]);
# Design 7168: autom. group order 2, simple, derived
B[7168]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,11,12,13],[1,3,8,10,11,13],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,6,7,10,11],[1,6,8,9,12,13],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,5,8,11,13],[2,4,6,7,11,13],[2,5,6,10,11,12],[2,5,8,9,12,13],[2,7,8,10,11,12],[3,4,5,7,8,12],[3,4,6,9,11,12],[3,4,6,10,12,13],[3,5,7,9,11,13],[3,6,7,8,9,11],[4,5,6,8,9,10],[4,5,7,9,10,13]];
G[7168]:=Group([(1,12)(3,10)(4,11)(5,7)(6,8)]);
# Design 7169: autom. group order 2, simple, derived
B[7169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,7,8,11,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,7,11,12],[1,5,6,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,7,8,9,12,13],[3,4,5,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,5,10,11,12,13],[3,6,7,9,10,12],[4,5,6,7,9,11],[4,5,7,8,10,11]];
G[7169]:=Group([(1,12)(3,13)(5,7)(8,10)]);
# Design 7170: autom. group order 2, simple, derived
B[7170]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,7,8,10,11],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,6,8,9,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,7,9,10,12,13],[3,4,5,9,10,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,8,10,11,12]];
G[7170]:=Group([(1,12)(3,13)(5,7)]);
# Design 7171: autom. group order 2, simple, derived
B[7171]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,7,12,13],[1,3,8,11,12,13],[1,4,7,8,10,11],[1,4,7,9,10,13],[1,5,6,7,11,12],[1,5,6,8,9,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,7,8,9,11],[2,7,9,10,12,13],[3,4,5,9,10,12],[3,4,6,7,9,11],[3,4,6,8,10,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,5,8,10,11,12]];
G[7171]:=Group([(1,12)(3,13)(5,7)]);
# Design 7172: autom. group order 2, simple, derived
B[7172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,7,8,9,13],[1,4,8,10,11,12],[1,5,6,7,9,12],[1,5,6,8,11,13],[1,6,7,8,10,12],[2,3,6,8,9,11],[2,3,7,8,11,12],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,7,9,10,11,13],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,5,7,10,11,12],[3,6,8,9,12,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[7172]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7173: autom. group order 2, simple
B[7173]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,5,8,11,12],[1,3,7,10,12,13],[1,4,7,8,9,12],[1,4,9,10,11,13],[1,5,6,7,8,13],[1,5,6,10,11,12],[1,6,8,9,10,13],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,5,7,8,9,10],[2,5,7,10,11,13],[2,6,8,9,11,12],[3,4,5,6,9,13],[3,4,6,7,10,11],[3,4,8,9,10,11],[3,5,7,9,11,12],[3,6,7,8,11,13],[4,5,6,8,10,12],[4,5,7,9,12,13]];
G[7173]:=Group([(1,7)(2,12)(3,9)(6,13)(10,11)]);
# Design 7174: autom. group order 2, simple
B[7174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,7,11,13],[1,3,7,8,9,12],[1,4,7,10,12,13],[1,4,8,10,11,13],[1,5,6,8,9,13],[1,5,6,8,10,12],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,8,11],[3,4,6,9,10,12],[3,5,6,7,12,13],[3,8,9,11,12,13],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[7174]:=Group([(1,9)(2,8)(4,13)(5,12)(6,11)(7,10)]);
# Design 7175: autom. group order 2, simple
B[7175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,5,7,11,13],[1,3,8,9,10,12],[1,4,6,7,10,11],[1,4,6,7,12,13],[1,5,6,8,9,11],[1,5,6,9,12,13],[1,8,10,11,12,13],[2,3,6,8,11,12],[2,3,6,10,11,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,7,8,11,12],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,5,8,12,13],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,6,7,8,9,13],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[7175]:=Group([(2,3)(4,5)(7,9)(8,10)(12,13)]);
# Design 7176: autom. group order 2, simple
B[7176]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,5,7,11,13],[1,3,8,9,10,12],[1,4,6,7,10,11],[1,4,6,7,12,13],[1,5,6,8,9,11],[1,5,6,9,12,13],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,7,9,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,10,12,13],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,6,7,9,10,13],[4,5,6,8,10,11],[4,5,7,8,9,10]];
G[7176]:=Group([(2,3)(4,5)(7,9)(8,10)(12,13)]);
# Design 7177: autom. group order 2, simple
B[7177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,8,9,11,13],[1,4,6,7,10,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,6,10,11,12],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,3,6,9,12,13],[2,4,5,9,10,13],[2,4,6,8,10,11],[2,5,7,8,10,12],[2,5,8,11,12,13],[2,6,7,8,9,13],[3,4,5,7,8,11],[3,4,8,9,10,12],[3,4,10,11,12,13],[3,5,6,8,10,13],[3,6,7,9,10,11],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[7177]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 7178: autom. group order 2, simple
B[7178]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,5,9,12,13],[1,3,7,8,11,13],[1,4,6,8,9,13],[1,4,6,10,12,13],[1,5,6,7,10,11],[1,5,6,8,11,12],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,6,9,11,12],[2,4,5,8,9,11],[2,4,10,11,12,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,7,10,13],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[7178]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 7179: autom. group order 2, simple
B[7179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,11,12,13],[1,5,6,8,9,11],[1,5,6,8,10,12],[1,8,9,10,12,13],[2,3,6,8,9,13],[2,3,6,10,12,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,7,9,11,12],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,8,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[7179]:=Group([(1,7)(2,8)(5,12)(6,9)(10,11)]);
# Design 7180: autom. group order 2, simple, derived
B[7180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,7,10,11,13],[1,4,6,8,10,13],[1,4,6,11,12,13],[1,5,6,7,9,12],[1,5,6,8,9,11],[1,8,9,10,12,13],[2,3,6,8,9,13],[2,3,6,10,12,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,8,9,11,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,13]];
G[7180]:=Group([(1,7)(2,8)(5,12)(6,9)(10,11)]);
# Design 7181: autom. group order 2, simple
B[7181]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,9,10,11,13],[1,4,6,7,10,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,6,10,11,12],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,3,6,9,12,13],[2,4,5,7,10,11],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,8,11,12,13],[2,6,7,9,10,13],[3,4,5,8,9,13],[3,4,6,8,10,11],[3,4,10,11,12,13],[3,5,7,8,10,12],[3,6,7,8,9,11],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[7181]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 7182: autom. group order 2, simple
B[7182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,8,11,13],[1,3,7,8,10,12],[1,4,6,8,10,11],[1,4,6,8,12,13],[1,5,6,7,9,11],[1,5,6,9,12,13],[1,7,10,11,12,13],[2,3,6,7,11,13],[2,3,6,10,11,12],[2,4,5,7,12,13],[2,4,8,9,11,13],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,4,9,10,11,13],[3,5,8,9,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[7182]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 7183: autom. group order 2, simple
B[7183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,5,8,11,13],[1,3,7,8,10,12],[1,4,6,8,10,11],[1,4,6,8,12,13],[1,5,6,7,9,11],[1,5,6,9,12,13],[1,7,10,11,12,13],[2,3,6,7,11,12],[2,3,6,10,11,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,8,9,11,12],[3,6,8,9,10,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[7183]:=Group([(2,3)(4,5)(7,10)(8,9)(12,13)]);
# Design 7184: autom. group order 2, simple
B[7184]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,7,10,12],[1,4,6,8,11,13],[1,5,6,8,9,11],[1,5,6,10,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,6,9,12,13],[2,5,6,7,8,9],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,6,9,10,11,12],[4,5,7,8,10,12],[4,5,8,9,10,11]];
G[7184]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 7185: autom. group order 2, simple
B[7185]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,6,10,12,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,5,6,7,8,9],[2,5,7,9,12,13],[2,6,8,9,11,12],[3,4,5,8,12,13],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,5,6,9,11,13],[3,6,7,10,11,12],[4,5,7,8,10,12],[4,5,8,9,10,11]];
G[7185]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 7186: autom. group order 2, simple
B[7186]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,10,12],[1,5,6,8,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,5,6,9,11,13],[2,5,7,9,12,13],[2,6,7,8,11,12],[3,4,5,10,11,13],[3,4,6,7,12,13],[3,4,7,9,11,13],[3,5,6,7,8,9],[3,6,9,10,11,12],[4,5,7,8,10,11],[4,5,8,9,10,12]];
G[7186]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 7187: autom. group order 2, simple
B[7187]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,10,12],[1,5,6,8,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,5,6,9,12,13],[2,5,7,9,11,13],[2,6,7,8,11,12],[3,4,5,10,11,13],[3,4,6,7,11,13],[3,4,7,9,12,13],[3,5,6,7,8,9],[3,6,9,10,11,12],[4,5,7,8,10,12],[4,5,8,9,10,11]];
G[7187]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 7188: autom. group order 2, simple
B[7188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,8,11,12],[1,3,8,10,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,7,9,12],[1,5,6,10,11,13],[1,7,8,9,10,13],[2,3,6,7,10,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,8,9,12,13],[2,6,7,8,11,12],[3,4,5,7,11,13],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,6,9,10,11,12],[4,5,7,8,10,12],[4,5,7,9,10,11]];
G[7188]:=Group([(2,3)(4,5)(7,10)(8,9)(11,12)]);
# Design 7189: autom. group order 2, simple
B[7189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,7,8,11],[1,4,6,10,12,13],[1,5,6,8,11,13],[1,5,6,9,10,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,6,8,9,11,12],[3,4,5,8,12,13],[3,4,6,7,9,10],[3,4,6,9,11,13],[3,5,7,9,11,13],[3,6,7,10,11,12],[4,5,7,8,10,12],[4,5,8,9,10,11]];
G[7189]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 7190: autom. group order 2, simple
B[7190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,7,10,12],[1,5,6,8,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,6,7,9,10],[3,4,6,7,11,13],[3,5,7,9,11,13],[3,6,9,10,11,12],[4,5,7,8,10,12],[4,5,8,9,10,11]];
G[7190]:=Group([(2,3)(4,5)(7,9)(8,10)(11,12)]);
# Design 7191: autom. group order 2, simple
B[7191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,8,9,11,13],[1,4,6,8,11,12],[1,4,6,9,10,13],[1,5,6,7,8,11],[1,5,6,10,12,13],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,6,7,11,13],[3,5,7,9,11,12],[3,6,8,9,12,13],[4,5,7,8,10,13],[4,5,8,9,10,11]];
G[7191]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 7192: autom. group order 2, simple
B[7192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,7,12,13],[1,3,7,8,11,13],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,8,9,13],[1,5,6,10,11,12],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,6,7,11,13],[2,6,7,10,12,13],[3,4,5,10,12,13],[3,4,6,7,9,10],[3,4,6,9,11,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,7,8,10,11],[4,5,8,9,10,13]];
G[7192]:=Group([(2,3)(4,5)(7,9)(8,10)(11,13)]);
# Design 7193: autom. group order 2, simple
B[7193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,8,9,11,12],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,8,10,11],[1,5,7,10,12,13],[1,6,7,8,9,13],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,5,7,8,10,12],[2,7,8,9,11,13],[3,4,5,8,12,13],[3,4,7,8,10,11],[3,4,9,10,12,13],[3,5,6,9,11,13],[3,6,7,9,10,12],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[7193]:=Group([(1,10)(2,11)(3,8)(6,9)(12,13)]);
# Design 7194: autom. group order 2, simple
B[7194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,7,10,11,13],[1,4,6,7,9,13],[1,4,6,10,12,13],[1,5,6,8,11,13],[1,5,8,9,11,12],[1,6,8,9,10,12],[2,3,6,8,9,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,6,7,10,12],[2,7,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[7194]:=Group([(1,7)(2,8)(5,12)(6,9)(10,11)]);
# Design 7195: autom. group order 2, simple, derived
B[7195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,8,9,10,13],[1,4,6,7,10,12],[1,4,6,8,9,11],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,6,7,9,13],[2,3,6,8,10,12],[2,4,5,8,11,13],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,7,8,9,10,11],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,13]];
G[7195]:=Group([(1,11)(2,12)(4,9)(6,8)]);
# Design 7196: autom. group order 2, simple
B[7196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,10,12],[1,4,6,8,9,11],[1,5,6,9,12,13],[1,5,7,8,9,10],[1,6,8,10,11,13],[2,3,6,7,8,12],[2,3,6,10,11,13],[2,4,5,8,11,13],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,7,8,9,10,11],[3,4,5,10,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,10,11],[4,5,7,8,12,13]];
G[7196]:=Group([(1,11)(2,12)(4,9)(6,8)]);
# Design 7197: autom. group order 2, simple, derived
B[7197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,9,10,11,12],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,6,8,11,12],[1,5,7,8,10,13],[1,6,8,9,10,13],[2,3,6,7,10,12],[2,3,6,8,12,13],[2,4,5,8,9,13],[2,4,8,10,11,12],[2,5,6,7,9,11],[2,5,6,10,11,13],[2,7,9,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,9,11,13],[3,5,8,9,11,12],[3,6,7,8,11,13],[4,5,6,7,9,12],[4,5,7,8,10,12]];
G[7197]:=Group([(1,13)(2,11)(5,7)(6,9)(8,10)]);
# Design 7198: autom. group order 2, simple, derived
B[7198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,7,12,13],[1,3,8,9,11,13],[1,4,6,7,9,13],[1,4,6,10,12,13],[1,5,6,8,11,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,6,8,9,12],[2,7,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,8,9,10,13],[3,6,7,8,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[7198]:=Group([(1,7)(2,8)(5,12)(6,9)(10,11)]);
# Design 7199: autom. group order 2, simple
B[7199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,8,9,10,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,10,11],[2,3,6,7,9,13],[2,3,6,8,10,12],[2,4,5,8,11,13],[2,4,7,9,10,12],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,8,9],[4,5,7,9,10,13]];
G[7199]:=Group([(1,11)(2,12)(4,9)(6,8)]);
# Design 7200: autom. group order 2, simple
B[7200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,11,12],[1,3,9,10,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[2,3,6,7,9,13],[2,3,6,8,10,12],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,8,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,10,11],[3,4,7,8,12,13],[3,5,8,9,11,13],[3,6,7,9,11,12],[4,5,6,7,9,12],[4,5,7,8,9,10]];
G[7200]:=Group([(2,13)(3,10)(4,6)(5,12)(8,11)]);
# Design 7201: autom. group order 2, simple
B[7201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,7,9,10,13],[1,4,6,7,10,11],[1,4,6,8,9,13],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,6,10,11,13],[2,4,5,8,9,12],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,6,7,9,11],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,7,9,12,13],[3,6,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,10,13]];
G[7201]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 7202: autom. group order 2, simple, derived
B[7202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,8,10,12,13],[1,4,6,7,10,11],[1,4,6,8,9,13],[1,5,6,7,12,13],[1,5,7,9,10,11],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,6,10,11,13],[2,4,5,8,9,12],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,7,9,12,13],[3,6,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,10,13]];
G[7202]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 7203: autom. group order 2, simple, derived
B[7203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,9,10,11,12],[1,4,6,7,9,13],[1,4,6,10,11,12],[1,5,6,7,8,11],[1,5,8,10,12,13],[1,6,8,9,10,13],[2,3,6,7,10,12],[2,3,6,8,12,13],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,9,11,12],[2,5,7,9,10,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,7,8,9,11,12],[4,5,6,7,9,12],[4,5,7,8,10,12]];
G[7203]:=Group([(1,13)(2,11)(6,9)(8,10)]);
# Design 7204: autom. group order 2, simple, derived
B[7204]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,9,10,11,12],[1,4,6,7,9,13],[1,4,6,8,11,12],[1,5,6,7,10,11],[1,5,8,10,12,13],[1,6,8,9,10,13],[2,3,6,7,10,12],[2,3,6,8,12,13],[2,4,5,8,10,11],[2,4,9,10,12,13],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,7,8,9,11,12],[4,5,6,7,9,12],[4,5,7,8,10,12]];
G[7204]:=Group([(1,13)(2,11)(6,9)(8,10)]);
# Design 7205: autom. group order 2, simple, derived
B[7205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,10,11,12,13],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,5,6,9,11,13],[1,5,7,8,9,10],[1,6,8,10,11,12],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,7,8,9,10,12],[4,5,6,7,10,12],[4,5,7,8,11,13]];
G[7205]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 7206: autom. group order 2, simple, derived
B[7206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,12,13],[1,3,10,11,12,13],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,5,6,8,11,12],[1,5,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,7,8,9,10,12],[4,5,6,7,10,12],[4,5,7,8,11,13]];
G[7206]:=Group([(1,12)(3,13)(4,9)(6,8)]);
# Design 7207: autom. group order 2, simple
B[7207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,6,9,11,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,5,8,9,11],[3,4,6,7,10,12],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,7,9,11,12,13],[4,5,6,9,10,13],[4,5,7,8,9,13]];
G[7207]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 7208: autom. group order 2, simple
B[7208]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,8,9,11],[2,3,6,11,12,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,8,9,10],[4,5,7,9,11,13]];
G[7208]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7209: autom. group order 2, simple
B[7209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,8,9,10,13],[1,4,6,7,9,12],[1,4,6,8,10,11],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,6,9,11,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,5,8,9,11],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,9,10,13],[4,5,7,8,9,13]];
G[7209]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 7210: autom. group order 2, simple, derived
B[7210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,7,8,9,12],[1,4,6,7,9,13],[1,4,6,8,11,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,7,9,11,12,13],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[7210]:=Group([(1,11)(3,6)(4,12)(5,8)]);
# Design 7211: autom. group order 2, simple, derived
B[7211]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,6,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,6,7,11,13],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,6,8,12,13],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,7,8,9,11,12],[4,5,6,7,9,11],[4,5,7,10,11,13]];
G[7211]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 7212: autom. group order 2, simple, derived
B[7212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,9,10,13],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,6,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,6,8,9,11],[2,3,6,10,11,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,6,8,12,13],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,7,8,9,11,12],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[7212]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 7213: autom. group order 2, simple, derived
B[7213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[2,3,6,8,11,12],[2,3,6,9,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,7,9,13],[3,4,6,8,9,10],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[7213]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7214: autom. group order 2, simple, derived
B[7214]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,11,12,13],[1,3,7,10,12,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,6,7,9,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,7,9,11],[2,3,6,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,9,10,12,13],[3,4,5,8,10,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,5,7,9,10,11]];
G[7214]:=Group([(1,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7215: autom. group order 2, simple, derived
B[7215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,8,12,13],[1,3,7,10,12,13],[1,4,6,8,10,11],[1,4,6,9,12,13],[1,5,6,10,11,13],[1,5,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,10,11],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,7,11,12],[3,4,6,8,9,13],[3,4,7,9,10,13],[3,5,6,9,11,12],[3,8,9,10,11,12],[4,5,6,7,9,10],[4,5,7,8,11,13]];
G[7215]:=Group([(1,12)(2,11)(4,9)(7,10)]);
# Design 7216: autom. group order 2, simple, derived
B[7216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,7,9,13],[1,4,6,8,11,13],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,9,10,11],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,5,6,8,9,13],[3,7,9,11,12,13],[4,5,6,10,11,13],[4,5,7,8,10,12]];
G[7216]:=Group([(1,11)(3,6)(4,12)(5,8)]);
# Design 7217: autom. group order 2, simple, derived
B[7217]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,6,7,9,13],[1,4,6,8,11,13],[1,5,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,7,9,11],[3,4,6,7,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,7,9,11,12,13],[4,5,6,9,10,11],[4,5,7,8,10,12]];
G[7217]:=Group([(1,11)(3,6)(4,12)(5,8)]);
# Design 7218: autom. group order 2, simple, derived
B[7218]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,7,9,13],[1,4,6,8,11,13],[1,5,6,9,10,12],[1,5,7,8,10,11],[1,6,7,8,9,12],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,7,9,11],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,9,13],[3,7,9,11,12,13],[4,5,6,10,11,13],[4,5,7,8,10,12]];
G[7218]:=Group([(1,11)(3,6)(4,12)(5,8)]);
# Design 7219: autom. group order 2, simple
B[7219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,8,11,12],[1,3,8,9,10,13],[1,4,6,7,9,12],[1,4,6,8,10,11],[1,5,6,10,12,13],[1,5,7,8,12,13],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,6,9,11,13],[2,4,5,11,12,13],[2,4,7,8,10,13],[2,5,6,7,8,11],[2,5,7,9,10,12],[2,6,8,9,10,12],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,8,9,13],[4,5,8,9,10,11]];
G[7219]:=Group([(1,9)(3,10)(4,12)(6,7)]);
# Design 7220: autom. group order 2, simple
B[7220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,6,7,10,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,7,11,12],[2,3,6,8,10,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,5,8,9,13],[3,4,6,7,9,10],[3,4,7,10,12,13],[3,5,6,9,11,13],[3,7,8,9,11,12],[4,5,6,8,11,12],[4,5,7,9,10,11]];
G[7220]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7221: autom. group order 2, simple, derived
B[7221]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,8,9,10,13],[1,4,6,7,10,12],[1,4,6,9,11,13],[1,5,6,8,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,9,13],[2,3,6,8,10,12],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,8,9,10],[4,5,7,9,10,13]];
G[7221]:=Group([(1,11)(2,12)(4,9)]);
# Design 7222: autom. group order 2, simple, derived
B[7222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,5,7,11,13],[1,3,8,9,10,13],[1,4,6,7,10,12],[1,4,6,9,11,13],[1,5,6,8,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,7,12,13],[2,3,6,8,10,12],[2,4,5,7,8,11],[2,4,8,9,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,8,9,10],[4,5,7,10,12,13]];
G[7222]:=Group([(1,11)(2,12)(4,9)]);
# Design 7223: autom. group order 2, simple
B[7223]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,5,7,11,13],[1,3,8,10,12,13],[1,4,6,7,9,10],[1,4,6,8,12,13],[1,5,6,10,11,12],[1,5,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,6,7,10,13],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,7,8,9,10,12],[3,4,5,8,9,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,6,7,9,12,13],[4,5,7,8,9,11],[4,5,8,10,11,13]];
G[7223]:=Group([(1,13)(2,9)(4,6)(5,11)(8,12)]);
# Design 7224: autom. group order 2, simple, derived
B[7224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,5,7,12,13],[1,3,10,11,12,13],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,6,8,11,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[2,3,6,8,10,12],[2,3,8,9,11,12],[2,4,5,7,10,11],[2,4,6,9,12,13],[2,5,6,7,11,13],[2,5,6,8,10,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,5,6,7,9,12],[3,6,7,8,11,13],[4,5,7,8,9,12],[4,5,8,10,11,12]];
G[7224]:=Group([(1,7)(2,8)(5,13)(6,10)(9,11)]);
# Design 7225: autom. group order 2, simple
B[7225]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,7,12,13],[1,3,9,10,12,13],[1,4,6,8,9,13],[1,4,6,11,12,13],[1,5,6,8,10,11],[1,5,7,8,9,11],[1,6,7,8,10,12],[2,3,6,8,11,13],[2,3,7,8,11,12],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,5,6,7,9,13],[2,5,6,10,11,12],[2,8,9,10,12,13],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,6,7,9,11,13],[4,5,7,8,10,13],[4,5,7,9,11,12]];
G[7225]:=Group([(1,10)(2,7)(3,6)(5,12)(8,9)(11,13)]);
# Design 7226: autom. group order 2, simple
B[7226]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,7,9,10,13],[1,4,6,7,10,11],[1,4,6,8,9,13],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,9,12],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,6,7,9,11],[2,8,9,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,6,7,8,11,12],[4,5,7,8,10,13],[4,5,7,9,12,13]];
G[7226]:=Group([(1,8)(2,7)(5,11)(6,9)(10,12)]);
# Design 7227: autom. group order 2, simple
B[7227]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,6,7,8,9,13],[2,3,6,9,10,11],[2,3,7,8,11,12],[2,4,5,8,12,13],[2,4,6,8,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,6,8,9,11,12],[4,5,7,10,11,12],[4,5,8,9,10,11]];
G[7227]:=Group([(1,12)(3,13)(4,9)(8,10)]);
# Design 7228: autom. group order 2, simple
B[7228]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,11],[1,3,5,11,12,13],[1,3,8,10,12,13],[1,4,6,8,9,12],[1,4,6,10,11,13],[1,5,6,7,11,13],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,6,7,8,11],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,7,12,13],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,7,9,10,12,13],[3,4,5,7,10,12],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,6,8,9,10,11],[4,5,7,8,10,11],[4,5,8,9,11,12]];
G[7228]:=Group([(1,8)(2,5)(3,13)(4,9)]);
# Design 7229: autom. group order 2, simple
B[7229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,7,9,12,13],[1,3,5,7,11,12],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,6,10,12,13],[1,5,6,8,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,5,11,12,13],[2,4,6,7,9,12],[2,5,6,8,9,13],[2,5,7,8,10,13],[2,6,7,10,11,12],[3,4,5,6,7,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,9,11,12],[3,6,7,9,10,13],[4,5,7,8,9,11],[4,5,8,9,10,12]];
G[7229]:=Group([(1,10)(2,12)(3,8)(6,9)(11,13)]);
# Design 7230: autom. group order 2, simple
B[7230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,7,11,13],[1,3,7,8,10,12],[1,4,6,8,9,11],[1,4,6,8,10,13],[1,5,6,10,11,12],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,7,9,10,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,7,11,12],[3,4,6,9,12,13],[3,5,6,7,8,9],[3,8,9,10,11,12],[4,5,7,8,12,13],[4,5,7,9,10,11]];
G[7230]:=Group([(1,11)(3,8)(4,13)(5,6)(7,9)]);
# Design 7231: autom. group order 2, simple
B[7231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,7,8,12,13],[1,3,8,9,10,11],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,5,6,8,12,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,7,10,12,13],[2,4,8,9,10,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,5,7,8,11,12],[3,4,5,8,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,6,7,10,13],[3,5,7,9,11,12],[4,5,8,9,10,12],[4,6,7,8,9,11]];
G[7231]:=Group([(2,13)(3,8)(4,12)(5,6)(9,11)]);
# Design 7232: autom. group order 2, simple, derived
B[7232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,7,10,12,13],[1,3,9,10,11,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,5,6,7,12,13],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,7,9,12],[2,3,8,11,12,13],[2,4,7,9,10,13],[2,4,8,10,12,13],[2,5,6,8,10,13],[2,5,6,9,11,13],[2,5,7,10,11,12],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,7,8,9,12],[4,6,7,9,10,11]];
G[7232]:=Group([(2,13)(3,7)(4,12)(5,6)(8,10)(9,11)]);
# Design 7233: autom. group order 2, simple, derived
B[7233]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,5,7,11,13],[1,4,5,8,12,13],[1,5,6,9,10,13],[1,6,7,8,11,12],[1,8,9,10,11,13],[2,3,6,11,12,13],[2,3,8,9,11,13],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,5,7,9,12,13],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,6,7,9,10,12]];
G[7233]:=Group([(2,10)(3,9)(4,13)(7,11)]);
# Design 7234: autom. group order 2, simple, derived
B[7234]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,10,12,13],[1,3,7,8,9,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,5,6,8,9,11],[1,6,7,9,10,12],[1,7,8,10,11,12],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,7,8,12],[2,5,7,9,12,13],[2,5,8,9,10,13],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,10,11,13],[4,5,6,7,8,10],[4,6,8,9,11,13]];
G[7234]:=Group([(1,6)(2,11)(3,9)(4,8)(7,13)(10,12)]);
# Design 7235: autom. group order 2, simple, derived
B[7235]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,9,12],[1,3,8,10,11,13],[1,4,5,7,11,13],[1,4,5,8,12,13],[1,5,6,9,10,13],[1,6,7,8,11,12],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,6,9,12,13],[2,4,7,8,9,10],[2,5,6,7,8,13],[2,5,8,9,11,13],[2,5,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,7,10,12],[4,6,8,9,10,11]];
G[7235]:=Group([(2,10)(3,9)(4,13)(8,12)]);
# Design 7236: autom. group order 2, simple, derived
B[7236]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,5,6,7,10,12],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,10,11,12],[2,3,7,9,12,13],[2,4,6,7,8,12],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,7,8,9,11],[2,5,8,10,12,13],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,7,10,11,12],[4,5,6,9,12,13],[4,6,7,9,10,11]];
G[7236]:=Group([(1,5)(2,12)(3,7)(4,10)(8,11)(9,13)]);
# Design 7237: autom. group order 2, simple
B[7237]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,7,9,12,13],[1,3,8,11,12,13],[1,4,5,7,8,13],[1,4,5,10,11,12],[1,5,6,8,10,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,8,9,11],[2,3,8,10,12,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,5,7,9,10,13],[3,4,5,9,11,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,5,6,7,8,11],[3,5,7,10,11,12],[4,5,6,8,9,12],[4,7,8,9,10,11]];
G[7237]:=Group([(1,8)(2,9)(3,12)(4,6)(7,10)]);
# Design 7238: autom. group order 2, simple
B[7238]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,12,13],[1,3,6,10,11,13],[1,4,5,8,10,13],[1,4,5,8,11,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,8,12],[2,3,8,9,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,8,10,11],[2,5,6,11,12,13],[2,5,7,8,9,13],[3,4,5,6,7,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,11],[4,6,8,9,10,13]];
G[7238]:=Group([(1,9)(2,11)(3,7)(5,6)(8,10)]);
# Design 7239: autom. group order 2, simple
B[7239]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,6,7,9,11],[1,3,7,11,12,13],[1,4,5,7,10,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,5,8,11,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,7,9,13],[4,6,7,8,9,12]];
G[7239]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7240: autom. group order 2, simple
B[7240]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,5,7,10,13],[1,4,9,10,11,12],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,7,9,11],[4,6,7,8,9,12]];
G[7240]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7241: autom. group order 2, simple
B[7241]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,9,11,12],[1,4,5,7,10,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,5,8,9,11],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,11,12,13],[2,6,7,9,10,11],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,7,9,13],[4,6,7,8,9,12]];
G[7241]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7242: autom. group order 2, simple
B[7242]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,9,11,12],[1,4,5,7,10,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,5,8,9,11],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,7,9,13],[4,6,7,8,9,12]];
G[7242]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7243: autom. group order 2, simple, derived
B[7243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,9,11,12],[1,4,5,7,10,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,9,11],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[4,5,6,7,11,13],[4,6,7,8,9,12]];
G[7243]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7244: autom. group order 2, simple
B[7244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,11,12,13],[1,3,6,7,9,12],[1,3,7,8,10,13],[1,4,5,10,11,13],[1,4,7,10,11,12],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,8,11,12],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,6,7,8,9,10]];
G[7244]:=Group([(1,7)(2,10)(3,12)(8,11)]);
# Design 7245: autom. group order 2, simple
B[7245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,12,13],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,7,10,11,12],[1,5,6,11,12,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,7,11,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,6,8,11,12],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,7,8,9,11],[4,5,6,7,10,12],[4,6,7,8,9,10]];
G[7245]:=Group([(1,7)(2,10)(3,12)(8,11)]);
# Design 7246: autom. group order 2, simple, derived
B[7246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,6,7,10,12],[1,3,7,8,9,13],[1,4,5,8,12,13],[1,4,9,10,12,13],[1,5,6,10,11,13],[1,5,7,8,11,12],[1,6,8,9,11,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,8,9,10,12],[3,4,5,9,11,12],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,9,12],[4,6,7,8,9,10]];
G[7246]:=Group([(1,12)(3,6)(4,13)(5,8)]);
# Design 7247: autom. group order 2, simple, derived
B[7247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,6,7,10,11],[1,3,9,11,12,13],[1,4,5,10,12,13],[1,4,7,9,10,13],[1,5,6,8,11,13],[1,5,7,8,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,12],[2,4,9,10,11,13],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,8,10,11],[4,6,7,9,11,12]];
G[7247]:=Group([(1,2)(3,4)(5,6)(7,8)(9,11)(10,12)]);
# Design 7248: autom. group order 2, simple, derived
B[7248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,10,11,12],[1,3,6,7,11,12],[1,3,8,9,10,13],[1,4,5,8,12,13],[1,4,7,10,12,13],[1,5,6,10,11,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,7,9,12],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[4,5,6,9,10,12],[4,6,7,8,9,11]];
G[7248]:=Group([(1,12)(3,6)(4,13)(5,8)]);
# Design 7249: autom. group order 2, simple
B[7249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,7,10,12],[1,3,10,11,12,13],[1,4,5,8,12,13],[1,4,8,9,10,13],[1,5,6,8,11,12],[1,5,7,8,10,11],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,5,7,11,13],[2,4,10,11,12,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,6,7,8,9,12]];
G[7249]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7250: autom. group order 2, simple
B[7250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,7,11,12],[1,3,10,11,12,13],[1,4,5,8,12,13],[1,4,8,9,10,12],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,10,11,12,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,8,10,11],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,6,7,8,9,13]];
G[7250]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7251: autom. group order 2, simple
B[7251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,7,11,12],[1,3,8,9,10,13],[1,4,5,8,12,13],[1,4,10,11,12,13],[1,5,6,8,10,12],[1,5,7,9,11,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,6,7,8,9,13]];
G[7251]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7252: autom. group order 2, simple
B[7252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,5,8,11,13],[1,4,9,10,11,12],[1,5,6,8,9,12],[1,5,7,8,10,12],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,9,10,11,12],[2,4,5,7,10,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,7,9,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[4,5,6,9,10,13],[4,6,7,8,9,11]];
G[7252]:=Group([(1,2)(3,4)(5,6)(9,11)(10,12)]);
# Design 7253: autom. group order 2, simple
B[7253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,10,12],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,6,7,8,9,13]];
G[7253]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7254: autom. group order 2, simple
B[7254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,11,12],[1,3,7,9,10,12],[1,4,5,8,12,13],[1,4,10,11,12,13],[1,5,6,7,11,13],[1,5,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,9,11,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,6,7,8,9,12]];
G[7254]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7255: autom. group order 2, simple
B[7255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,11,12,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,8,9,10,12],[1,5,6,7,8,11],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,6,7,8,9,13]];
G[7255]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7256: autom. group order 2, simple
B[7256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,12,13],[1,3,7,9,11,12],[1,4,5,10,12,13],[1,4,8,10,11,12],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,10,13],[2,5,6,7,8,11],[2,5,7,10,11,12],[2,6,8,9,10,12],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,6,7,8,9,13]];
G[7256]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7257: autom. group order 2, simple
B[7257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,12,13],[1,3,7,10,11,12],[1,4,5,11,12,13],[1,4,8,9,10,12],[1,5,6,7,8,11],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,12],[2,6,8,10,11,12],[3,4,5,7,10,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,6,7,8,9,13]];
G[7257]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7258: autom. group order 2, simple
B[7258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,10,12],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,6,7,8,9,13]];
G[7258]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7259: autom. group order 2, simple
B[7259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,12,13],[1,3,7,9,10,12],[1,4,5,8,10,13],[1,4,10,11,12,13],[1,5,6,7,11,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[2,3,6,8,11,12],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,5,6,7,10,12],[2,5,7,8,10,11],[2,6,8,9,10,13],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,6,7,8,9,12]];
G[7259]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7260: autom. group order 2, simple
B[7260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,11,12],[1,3,7,9,10,13],[1,4,5,8,12,13],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,9,11,12],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,9,10,12],[4,6,7,8,9,13]];
G[7260]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7261: autom. group order 2, simple
B[7261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,9,12,13],[1,3,6,8,12,13],[1,3,7,9,11,12],[1,4,5,8,10,12],[1,4,10,11,12,13],[1,5,6,7,10,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,8,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,7,9,10,13],[2,5,6,7,11,12],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,10,13],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,6,7,8,9,13]];
G[7261]:=Group([(1,2)(3,4)(5,6)(10,11)(12,13)]);
# Design 7262: autom. group order 2, simple
B[7262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,6,10,11,13],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7262]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7263: autom. group order 2, simple, derived
B[7263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,9,12],[1,3,6,10,11,13],[1,4,5,8,11,13],[1,4,7,10,11,12],[1,5,6,7,8,12],[1,5,9,10,12,13],[1,7,8,9,10,13],[2,3,7,9,10,11],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,6,7,10,12],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,6,8,9,10,11]];
G[7263]:=Group([(2,10)(3,9)(4,13)(6,12)]);
# Design 7264: autom. group order 2, simple
B[7264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,7,9,11,12],[1,5,6,10,11,13],[1,5,7,8,10,11],[1,7,8,10,12,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,5,8,11,12],[3,4,6,7,8,10],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,7,9,12,13],[4,5,6,7,9,12],[4,6,8,9,10,11]];
G[7264]:=Group([(1,9)(2,12)(3,7)(4,5)(8,13)(10,11)]);
# Design 7265: autom. group order 2, simple
B[7265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,6,9,11,12],[1,4,5,8,10,11],[1,4,7,10,11,13],[1,5,6,8,12,13],[1,5,7,11,12,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,9,10,11,13],[3,4,5,7,9,13],[3,4,6,7,11,12],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,8,9,12],[4,6,7,8,9,10]];
G[7265]:=Group([(1,8)(4,7)(5,12)(6,13)(9,11)]);
# Design 7266: autom. group order 2, simple, derived
B[7266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,7,8,9,11],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,8,10,11],[4,6,7,8,9,10]];
G[7266]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7267: autom. group order 2, simple, derived
B[7267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,3,6,8,10,11],[1,4,5,8,9,11],[1,4,7,9,10,12],[1,5,7,8,12,13],[1,5,9,10,11,13],[1,6,8,10,12,13],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,6,9,10,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,10,13],[4,6,7,8,9,11]];
G[7267]:=Group([(1,8)(2,9)(3,11)(5,7)]);
# Design 7268: autom. group order 2, simple, derived
B[7268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,7,11,13],[1,3,7,9,10,13],[1,4,5,6,10,13],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,6,8,9,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,6,7,8,9,10]];
G[7268]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 7269: autom. group order 2, simple
B[7269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,6,10,13],[1,4,7,8,10,12],[1,5,7,11,12,13],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7269]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7270: autom. group order 2, simple
B[7270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,6,10,13],[1,4,8,9,12,13],[1,5,7,8,10,11],[1,5,7,11,12,13],[1,6,8,10,11,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7270]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7271: autom. group order 2, simple, derived
B[7271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,7,11,13],[1,3,8,10,11,13],[1,4,5,6,10,13],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,5,7,9,10,12],[1,6,8,9,12,13],[2,3,6,8,9,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,8,11,12],[4,6,7,8,9,10]];
G[7271]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 7272: autom. group order 2, simple, derived
B[7272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,3,8,10,11,13],[1,4,5,6,10,13],[1,4,7,10,11,13],[1,5,7,8,12,13],[1,5,7,9,10,12],[1,6,8,9,12,13],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,8,11,12],[4,6,7,8,9,10]];
G[7272]:=Group([(1,11)(3,13)(4,9)(6,7)(8,10)]);
# Design 7273: autom. group order 2, simple, derived
B[7273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,10,11,12,13],[1,4,5,6,12,13],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,8,10,12,13],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,8,12],[3,5,6,9,11,12],[4,5,7,10,11,12],[4,6,7,9,10,13]];
G[7273]:=Group([(2,9)(3,10)(4,8)(6,11)(7,12)]);
# Design 7274: autom. group order 2, simple
B[7274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,6,7,12,13],[1,3,8,9,10,12],[1,4,5,6,9,13],[1,4,9,11,12,13],[1,5,7,10,11,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,7,8,11,13],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,7,8,9,11],[4,6,7,8,9,10]];
G[7274]:=Group([(1,2)(3,4)(5,7)(6,8)(9,11)(10,12)]);
# Design 7275: autom. group order 2, simple
B[7275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,7,10,12,13],[1,5,7,9,10,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,5,8,10,13],[2,4,6,9,10,11],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,7,8,9],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,7,8,10,11],[4,6,8,9,12,13]];
G[7275]:=Group([(1,4)(2,12)(3,13)(5,6)(8,10)]);
# Design 7276: autom. group order 2, simple
B[7276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,12],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,5,8,10,13],[2,4,6,8,9,11],[2,5,6,10,11,13],[2,5,7,8,9,12],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,7,9,10],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,7,8,10,11],[4,6,8,9,12,13]];
G[7276]:=Group([(1,4)(2,12)(3,13)(5,6)(8,10)]);
# Design 7277: autom. group order 2, simple
B[7277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,9,11,13],[1,3,8,10,11,12],[1,4,5,6,8,13],[1,4,10,11,12,13],[1,5,7,8,12,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[2,3,7,8,12,13],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,7,10,12],[2,5,6,10,12,13],[2,5,7,9,11,13],[2,6,8,9,11,12],[3,4,5,9,12,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,7,8,9,11],[4,6,8,9,10,13]];
G[7277]:=Group([(1,8)(2,9)(3,10)(4,6)(5,13)]);
# Design 7278: autom. group order 2, simple
B[7278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,11],[1,3,9,11,12,13],[1,4,5,6,8,12],[1,4,8,9,10,13],[1,5,7,8,12,13],[1,5,7,9,10,13],[1,6,7,10,11,12],[2,3,7,8,12,13],[2,3,8,9,10,12],[2,4,5,9,11,12],[2,4,6,7,10,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,7,8,9,11],[4,6,8,9,10,12]];
G[7278]:=Group([(1,8)(2,9)(3,10)(5,12)(7,13)]);
# Design 7279: autom. group order 2, simple, derived
B[7279]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7279]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7280: autom. group order 2, simple, derived
B[7280]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,7,8,9,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,7,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7280]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7281: autom. group order 2, simple, derived
B[7281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,7,9,10,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,9,10,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7281]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7282: autom. group order 2, simple
B[7282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,8,10,12],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7282]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7283: autom. group order 2, simple, derived
B[7283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,7,8,9,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7283]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7284: autom. group order 2, simple, derived
B[7284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,8,9,10,12],[1,5,7,8,9,13],[1,5,7,10,11,13],[1,6,7,9,11,12],[2,3,7,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,6,9,10,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7284]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7285: autom. group order 2, simple, derived
B[7285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,7,9,11,12],[2,3,7,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7285]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7286: autom. group order 2, simple
B[7286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7286]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7287: autom. group order 2, simple
B[7287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,10,12,13],[1,3,8,11,12,13],[1,4,5,6,8,11],[1,4,7,9,10,12],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,7,8,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,7,8,12,13],[4,6,7,9,10,11]];
G[7287]:=Group([(1,13)(2,5)(3,12)(6,10)]);
# Design 7288: autom. group order 2, simple, derived
B[7288]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,9,11],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,9,10,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,8,9,13],[3,5,6,10,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7288]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7289: autom. group order 2, simple, derived
B[7289]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,10,11,13],[2,4,6,8,10,11],[2,5,7,8,9,12],[2,5,7,8,10,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,8,9,11,13],[3,4,9,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7289]:=Group([(2,11)(3,10)(4,12)(5,7)(6,8)]);
# Design 7290: autom. group order 2, simple
B[7290]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,10,12,13],[1,3,7,8,11,12],[1,4,5,8,10,12],[1,4,6,9,11,13],[1,5,6,7,8,13],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,7,9,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,8,9,10,12],[3,4,5,8,9,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,5,6,9,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7290]:=Group([(1,5)(2,7)(3,13)(4,12)(6,9)(8,10)]);
# Design 7291: autom. group order 2, simple, derived
B[7291]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,9,11],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7291]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7292: autom. group order 2, simple, derived
B[7292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,9,11],[1,3,8,10,11,12],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7292]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7293: autom. group order 2, simple
B[7293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,8,9,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,5,7,10,13],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,9,12],[4,6,7,8,9,10]];
G[7293]:=Group([(2,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7294: autom. group order 2, simple, derived
B[7294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,8,9,11],[1,5,9,10,12,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,6,9,11,12],[3,4,7,8,9,10],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,6,7,9,10,13]];
G[7294]:=Group([(2,12)(3,13)(6,8)]);
# Design 7295: autom. group order 2, simple, derived
B[7295]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,8,9,11],[1,5,9,10,12,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,10,11,13],[3,4,6,9,11,12],[3,4,7,8,9,10],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,6,7,9,10,13]];
G[7295]:=Group([(2,12)(3,13)(6,8)]);
# Design 7296: autom. group order 2, simple, derived
B[7296]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,8,9,11],[1,5,9,10,12,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,8,9,11,13],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,6,8,9,10,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,6,10,11,13],[4,6,7,8,9,10]];
G[7296]:=Group([(2,12)(3,13)(6,8)]);
# Design 7297: autom. group order 2, simple, derived
B[7297]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,8,9,11],[1,5,9,10,12,13],[1,7,8,10,11,12],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,10,11],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[4,5,6,10,11,13],[4,6,7,8,9,10]];
G[7297]:=Group([(2,12)(3,13)(6,8)]);
# Design 7298: autom. group order 2, simple
B[7298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,3,7,8,10,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,5,8,9,11],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,9,10,11,13],[2,6,8,10,12,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,10,13],[4,6,7,8,9,11]];
G[7298]:=Group([(1,9)(2,8)(3,11)(5,7)]);
# Design 7299: autom. group order 2, simple, derived
B[7299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,12],[1,3,7,8,9,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,5,8,10,11],[2,4,7,10,12,13],[2,5,6,7,8,9],[2,5,9,10,11,13],[2,6,8,9,12,13],[3,4,5,7,11,13],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,9,12],[4,6,7,8,10,11]];
G[7299]:=Group([(1,10)(2,8)(3,11)(5,7)]);
# Design 7300: autom. group order 2, simple, derived
B[7300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,6,8,12,13],[1,3,7,10,11,13],[1,4,5,9,12,13],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,7,9,11,12],[2,3,8,9,10,12],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,10,11,12,13],[3,4,5,11,12,13],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[4,5,7,9,10,11],[4,6,7,8,9,12]];
G[7300]:=Group([(1,6)(3,13)(4,11)(5,9)(7,10)(8,12)]);
# Design 7301: autom. group order 2, simple
B[7301]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,7,9,11,13],[4,6,7,8,9,10]];
G[7301]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7302: autom. group order 2, simple
B[7302]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,8,10,13],[1,3,7,8,10,12],[1,4,5,8,11,13],[1,4,6,7,12,13],[1,5,6,8,11,12],[1,5,9,10,12,13],[1,7,9,10,11,13],[2,3,7,11,12,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,10,12,13],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,7,11,13],[4,5,7,8,9,12],[4,6,7,8,9,10]];
G[7302]:=Group([(2,10)(3,9)(4,13)(6,12)(8,11)]);
# Design 7303: autom. group order 2, simple, derived
B[7303]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,8,9,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,6,9,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[4,5,7,8,9,11],[4,6,7,8,9,10]];
G[7303]:=Group([(2,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7304: autom. group order 2, simple, derived
B[7304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,10,11,13],[1,3,8,11,12,13],[1,4,5,7,11,12],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,9,10,12,13],[1,7,8,9,10,12],[2,3,7,8,12,13],[2,3,8,9,10,11],[2,4,5,8,10,13],[2,4,6,9,12,13],[2,5,6,8,11,12],[2,5,7,10,11,13],[2,6,7,10,11,12],[3,4,5,7,10,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,6,8,9,12],[4,5,8,9,11,13],[4,6,7,8,9,10]];
G[7304]:=Group([(2,9)(3,10)(4,12)(6,13)]);
# Design 7305: autom. group order 2, simple, derived
B[7305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,7,9,10,12],[1,4,5,7,10,13],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,8,10,11,12],[1,7,8,9,11,13],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,10,11,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7305]:=Group([(1,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 7306: autom. group order 2, simple
B[7306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,5,10,12,13],[1,4,6,8,10,12],[1,5,6,7,9,11],[1,5,7,8,11,12],[1,7,8,9,10,13],[2,3,7,9,10,12],[2,3,8,10,11,12],[2,4,5,7,9,13],[2,4,6,7,8,11],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,6,9,11,12,13],[3,4,5,11,12,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,8,9,10,11],[4,6,7,9,10,12]];
G[7306]:=Group([(1,6)(3,13)(4,11)(5,10)(7,12)(8,9)]);
# Design 7307: autom. group order 2, simple
B[7307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,5,8,10,11],[1,4,6,9,10,13],[1,5,6,7,11,12],[1,5,7,8,9,12],[1,7,8,10,12,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,7,8,13],[2,4,6,7,10,12],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,10,11,13],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,10,12],[4,5,9,10,12,13],[4,6,7,8,9,11]];
G[7307]:=Group([(1,12)(2,8)(4,10)(5,6)(7,11)]);
# Design 7308: autom. group order 2, simple
B[7308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,8,9,12],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,3,8,9,11,13],[2,4,5,7,10,13],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,8,9,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,5,6,7,12,13],[3,5,7,8,10,11],[4,5,7,8,9,11],[4,6,7,8,9,10]];
G[7308]:=Group([(2,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7309: autom. group order 2, simple, derived
B[7309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,8,10,13],[1,3,7,9,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,7,8,10,11,12],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,6,7,10,12],[2,6,8,9,11,13],[3,4,5,7,8,11],[3,4,6,9,11,12],[3,4,6,10,11,13],[3,5,6,8,9,12],[3,5,7,9,12,13],[4,5,7,9,10,13],[4,6,7,8,9,10]];
G[7309]:=Group([(2,11)(3,10)(4,12)(5,7)(6,8)]);
# Design 7310: autom. group order 2, simple
B[7310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,12,13],[1,3,8,10,11,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,7,8,9,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,7,8,9,10],[2,5,6,8,10,13],[2,5,6,10,11,12],[2,7,9,10,11,13],[3,4,5,9,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,7,8,10,12],[4,5,6,7,8,11],[4,6,8,9,12,13]];
G[7310]:=Group([(2,7)(3,6)(4,13)(5,12)(8,11)]);
# Design 7311: autom. group order 2, simple, derived
B[7311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,12],[1,3,8,9,12,13],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,5,7,9,11,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,9,10],[2,5,6,8,9,11],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,7,8,11,13],[4,5,6,7,8,12],[4,6,8,9,10,11]];
G[7311]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 7312: autom. group order 2, simple
B[7312]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,3,10,11,12,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,9,11,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,6,8,10,12],[2,7,8,10,11,12],[3,4,5,7,8,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,6,9,11,13],[4,6,7,8,9,12]];
G[7312]:=Group([(1,5)(2,13)(3,8)(4,7)(6,11)(10,12)]);
# Design 7313: autom. group order 2, simple, derived
B[7313]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,12],[1,3,8,9,12,13],[1,4,5,10,11,13],[1,4,6,7,10,13],[1,5,7,8,10,12],[1,5,7,9,11,12],[1,6,8,9,11,13],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,7,9,10,12,13],[3,4,5,7,9,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,8,11,12],[4,6,7,8,9,10]];
G[7313]:=Group([(1,13)(3,12)(4,10)(8,9)]);
# Design 7314: autom. group order 2, simple, derived
B[7314]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,9,10,13],[1,3,8,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,7,8,9,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,7,8,9,11],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,8,9,10,12,13],[3,4,5,8,10,12],[3,4,6,7,12,13],[3,4,7,9,10,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,6,7,9,10,11]];
G[7314]:=Group([(1,12)(3,13)(4,9)(7,10)]);
# Design 7315: autom. group order 2, simple
B[7315]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,6,11,12,13],[1,3,7,9,12,13],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,11,13],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,8,9,10,11],[3,4,5,6,10,13],[3,4,7,8,10,13],[3,4,8,9,11,12],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,8,11],[4,6,7,9,10,12]];
G[7315]:=Group([(1,13)(3,12)(4,5)(6,11)]);
# Design 7316: autom. group order 2, simple
B[7316]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,11,12,13],[1,3,9,10,12,13],[1,4,5,8,11,13],[1,4,6,8,10,12],[1,5,7,8,9,12],[1,5,7,9,10,11],[1,6,7,8,10,13],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,10,11,12],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,6,7,10],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,7,8,11,12],[4,5,6,9,12,13],[4,6,7,9,10,11]];
G[7316]:=Group([(1,9)(2,11)(3,7)(5,10)(8,13)]);
# Design 7317: autom. group order 2, simple
B[7317]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,11,12,13],[1,3,7,10,12,13],[1,4,5,7,10,13],[1,4,6,8,10,12],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,7,8,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7317]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7318: autom. group order 2, simple, derived
B[7318]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,11,12,13],[1,3,8,9,10,12],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,7,8,9,11],[1,5,7,8,12,13],[1,6,8,9,11,13],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,8,10,12],[4,7,9,10,11,12]];
G[7318]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 7319: autom. group order 2, simple, derived
B[7319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,11,13],[1,3,8,9,10,12],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,7,8,9,11],[1,5,7,8,12,13],[1,6,9,11,12,13],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,8,10,12],[4,7,8,9,10,11]];
G[7319]:=Group([(1,10)(3,9)(4,13)(6,7)]);
# Design 7320: autom. group order 2, simple
B[7320]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,12],[1,3,8,9,11,13],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,8,9,10,11],[3,4,5,6,9,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,5,6,7,8,10],[3,5,7,11,12,13],[4,5,7,8,9,11],[4,6,9,10,12,13]];
G[7320]:=Group([(2,7)(3,13)(4,6)(5,10)(8,11)]);
# Design 7321: autom. group order 2, simple
B[7321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,12],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,7,9,12,13],[2,3,10,11,12,13],[2,4,5,7,8,12],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,6,8,10,13],[2,6,7,10,11,12],[3,4,5,7,10,11],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,5,6,7,9,11],[3,5,7,8,12,13],[4,5,6,9,12,13],[4,7,8,9,10,11]];
G[7321]:=Group([(2,7)(3,13)(4,6)(5,10)(8,11)]);
# Design 7322: autom. group order 2, simple
B[7322]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,12,13],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,5,8,12,13],[1,4,9,11,12,13],[1,5,6,7,11,12],[1,5,6,8,9,10],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,3,9,10,12,13],[2,4,5,10,11,13],[2,4,8,10,11,12],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,7,9,12],[3,4,6,8,9,13],[3,4,6,8,10,11],[3,5,7,8,11,13],[3,5,8,9,11,12],[4,5,6,7,10,13],[4,6,7,9,10,12]];
G[7322]:=Group([(1,2)(3,4)(5,7)(6,8)(10,11)]);
# Design 7323: autom. group order 2, simple, derived
B[7323]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,7,11,13],[1,3,8,9,10,11],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,8,11,12],[4,6,7,9,10,11]];
G[7323]:=Group([(2,12)(3,13)(4,9)]);
# Design 7324: autom. group order 2, simple, derived
B[7324]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,11,12],[1,3,8,9,10,11],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,10,11,12],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,8,11,12],[4,6,7,9,10,11]];
G[7324]:=Group([(2,12)(3,13)(4,9)]);
# Design 7325: autom. group order 2, simple, derived
B[7325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,9,11,13],[1,3,7,8,11,12],[1,4,5,7,10,12],[1,4,8,9,10,13],[1,5,6,7,10,13],[1,5,6,8,9,12],[1,8,10,11,12,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,7,8,9,13],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,5,7,8,9,13],[3,5,7,9,11,12],[4,5,6,7,8,11],[4,6,7,9,10,12]];
G[7325]:=Group([(1,9)(3,10)(4,11)(6,8)]);
# Design 7326: autom. group order 2, simple, derived
B[7326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,8,10,13],[1,3,7,8,9,11],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,6,9,12,13],[1,7,9,10,12,13],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,8,9,11,13],[3,4,5,7,9,13],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,6,7,8,9,10]];
G[7326]:=Group([(2,12)(3,13)(4,9)(8,10)]);
# Design 7327: autom. group order 2, simple, derived
B[7327]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,8,10,13],[1,3,7,8,9,11],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,6,8,10,11],[1,5,6,9,12,13],[1,7,9,10,12,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,7,8,12],[4,6,8,9,10,11]];
G[7327]:=Group([(2,12)(3,13)(4,9)(8,10)]);
# Design 7328: autom. group order 2, simple
B[7328]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,6,8,11,12],[1,5,6,10,11,13],[1,7,8,10,11,12],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,6,8,9,12],[3,5,7,8,9,11],[4,5,7,9,11,13],[4,6,7,8,9,10]];
G[7328]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7329: autom. group order 2, simple, derived
B[7329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,9,10,13],[1,4,5,7,10,13],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,5,6,8,11,12],[1,7,8,10,11,12],[2,3,7,8,9,11],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,7,9,11,13],[4,6,7,8,9,10]];
G[7329]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7330: autom. group order 2, simple
B[7330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,8,10,12],[1,3,6,7,11,12],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,9,10,12,13],[1,5,6,7,9,13],[1,5,7,8,12,13],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,5,10,11,12],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,10,11,13],[3,4,5,6,10,13],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,5,7,9,10,11],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,6,7,9,10,12]];
G[7330]:=Group([(2,13)(3,12)(4,5)(6,11)]);
# Design 7331: autom. group order 2, simple
B[7331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,10,12],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,8,9,10,13],[1,5,6,9,10,13],[1,5,7,8,9,11],[1,6,8,10,11,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,6,8,11],[2,4,6,10,12,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,6,9,11,12],[4,5,7,10,11,13],[4,6,7,8,9,12]];
G[7331]:=Group([(1,11)(2,7)(3,10)(4,5)(6,13)(8,12)]);
# Design 7332: autom. group order 2, simple
B[7332]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,11,12,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,7,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,7,11,12,13],[2,3,8,9,10,13],[2,4,5,6,10,13],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,6,8,9,12],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,6,8,9,10,11]];
G[7332]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7333: autom. group order 2, simple, derived
B[7333]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,10,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,6,9,13],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,6,7,8,9],[3,5,9,10,11,12],[4,5,7,9,11,13],[4,6,8,9,10,12]];
G[7333]:=Group([(1,12)(2,11)(6,7)]);
# Design 7334: autom. group order 2, simple, derived
B[7334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,10,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,7,8,9,10],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,6,9,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,6,7,8,9],[3,5,9,10,11,12],[4,5,7,9,11,13],[4,6,8,9,10,12]];
G[7334]:=Group([(1,12)(2,11)(6,7)]);
# Design 7335: autom. group order 2, simple, derived
B[7335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,7,11,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,6,9,10,12,13],[2,3,7,9,10,12],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,12,13],[2,5,6,8,9,11],[2,5,6,10,11,13],[2,7,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7335]:=Group([(2,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 7336: autom. group order 2, simple, derived
B[7336]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,10,11,13],[1,4,8,9,10,12],[1,5,6,7,10,12],[1,5,7,9,11,13],[1,6,8,9,11,13],[2,3,7,9,10,11],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,5,6,8,10,13],[2,7,9,10,12,13],[3,4,5,8,9,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,7,8,11,12],[4,6,7,8,9,10]];
G[7336]:=Group([(2,11)(3,13)(4,9)(6,7)]);
# Design 7337: autom. group order 2, simple, derived
B[7337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,12,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,7,8,9,12],[1,5,6,7,11,12],[1,5,7,9,10,13],[1,6,8,9,10,13],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,6,7,10,13],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,7,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,5,6,7,9,12],[3,5,7,8,10,11],[4,5,7,8,10,12],[4,6,9,10,11,12]];
G[7337]:=Group([(2,10)(3,9)(4,13)(6,7)]);
# Design 7338: autom. group order 2, simple, derived
B[7338]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,7,8,11],[1,5,8,9,10,12],[1,6,7,9,10,12],[2,3,7,8,11,12],[2,3,7,9,10,13],[2,4,5,7,10,11],[2,4,6,8,9,12],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,8,10,11,12,13],[3,4,5,10,12,13],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,7,8,9,13],[4,6,7,9,10,11]];
G[7338]:=Group([(2,9)(3,10)(4,12)(6,8)]);
# Design 7339: autom. group order 2, simple
B[7339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,6,10,11,12],[1,3,6,8,9,13],[1,3,7,8,11,12],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,6,7,11,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,6,11,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,7,9,10,11],[4,6,7,8,9,12]];
G[7339]:=Group([(1,13)(3,7)(4,12)(8,10)]);
# Design 7340: autom. group order 2, simple
B[7340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,11,12],[1,3,6,9,11,13],[1,3,8,9,11,12],[1,4,5,7,12,13],[1,4,8,9,10,13],[1,5,6,8,10,12],[1,5,7,9,10,11],[1,6,7,8,10,13],[2,3,7,8,10,12],[2,3,9,10,12,13],[2,4,5,8,10,11],[2,4,6,8,9,13],[2,5,6,10,11,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,6,7,9],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,8,11,13],[4,5,8,9,11,12],[4,6,7,9,10,12]];
G[7340]:=Group([(1,10)(2,3)(4,12)(5,9)(6,13)]);
# Design 7341: autom. group order 2, simple
B[7341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,9,12,13],[1,3,8,11,12,13],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,9,10,12,13],[3,4,5,6,10,12],[3,4,6,8,9,13],[3,4,7,8,9,10],[3,5,6,7,11,13],[3,5,7,9,11,12],[4,5,8,9,11,12],[4,6,7,9,10,11]];
G[7341]:=Group([(1,10)(3,9)(4,13)(6,8)(7,12)]);
# Design 7342: autom. group order 2, simple
B[7342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,6,7,9,11],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,7,8,10,11],[1,5,6,7,8,12],[1,5,7,9,10,13],[1,6,9,10,12,13],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,5,6,10,12],[3,4,6,7,9,13],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,7,9,11,12],[4,6,8,9,10,11]];
G[7342]:=Group([(2,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 7343: autom. group order 2, simple
B[7343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,7,12,13],[1,3,8,9,11,13],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,7,8,11],[1,5,8,9,10,12],[1,6,7,9,10,12],[2,3,7,8,11,12],[2,3,7,9,10,13],[2,4,5,7,10,11],[2,4,6,8,9,12],[2,5,6,7,12,13],[2,5,8,10,12,13],[2,6,8,9,11,13],[3,4,5,6,9,13],[3,4,6,8,10,12],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,7,8,9,13],[4,6,7,9,10,11]];
G[7343]:=Group([(2,9)(3,10)(4,12)(6,8)]);
# Design 7344: autom. group order 2, simple
B[7344]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,6,7,11,13],[1,3,8,10,12,13],[1,4,5,11,12,13],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[2,3,7,9,10,13],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,10,12,13],[2,5,6,7,10,11],[2,5,8,10,11,12],[2,6,7,8,12,13],[3,4,5,7,10,12],[3,4,6,8,9,12],[3,4,6,8,10,11],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,7,9,13],[4,7,8,9,10,11]];
G[7344]:=Group([(1,2)(3,4)(5,7)(6,8)(9,11)(10,12)]);
# Design 7345: autom. group order 2, simple, derived
B[7345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,6,9,10,11],[1,3,7,10,11,12],[1,4,5,7,9,13],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,5,8,10,11,13],[1,6,8,9,12,13],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,12,13],[3,5,6,7,10,13],[3,5,7,8,9,12],[4,5,6,8,9,10],[4,7,8,9,10,11]];
G[7345]:=Group([(1,8)(2,7)(3,4)(5,11)]);
# Design 7346: autom. group order 2, simple, derived
B[7346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,6,9,10,11],[1,3,7,10,11,12],[1,4,5,7,10,13],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,10,12,13],[3,5,6,7,9,13],[3,5,7,8,9,12],[4,5,6,8,9,10],[4,7,8,9,10,11]];
G[7346]:=Group([(1,8)(2,7)(3,4)(5,11)]);
# Design 7347: autom. group order 2, simple, derived
B[7347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,6,9,10,11],[1,3,7,10,11,13],[1,4,5,7,10,12],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,6,9,11,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,10,12,13],[3,5,6,7,9,13],[3,5,7,8,9,12],[4,5,6,8,9,10],[4,7,8,9,10,11]];
G[7347]:=Group([(1,8)(2,7)(3,4)(5,11)]);
# Design 7348: autom. group order 2, simple, derived
B[7348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,5,7,9,13],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,12,13],[3,5,6,7,9,10],[3,5,7,8,9,12],[4,5,6,8,10,13],[4,7,8,9,10,11]];
G[7348]:=Group([(1,8)(2,7)(3,4)(5,11)]);
# Design 7349: autom. group order 2, simple, derived
B[7349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,5,7,10,12],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,5,8,11,12,13],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,8,10,12],[4,7,8,9,10,11]];
G[7349]:=Group([(1,8)(2,7)(3,4)(5,11)]);
# Design 7350: autom. group order 2, simple, derived
B[7350]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,6,11,12,13],[1,3,7,10,11,12],[1,4,5,7,10,13],[1,4,7,9,11,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,8,12],[3,4,6,9,10,13],[3,5,6,7,10,11],[3,5,7,8,9,11],[4,5,6,8,11,13],[4,7,8,9,10,12]];
G[7350]:=Group([(1,8)(2,7)(3,4)(5,12)]);
# Design 7351: autom. group order 2, simple, derived
B[7351]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,5,7,10,12],[1,4,7,9,12,13],[1,5,6,8,11,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,6,9,11,12],[2,5,6,7,11,13],[2,5,7,9,10,11],[2,6,7,10,12,13],[3,4,5,9,11,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,7,9,12],[3,5,7,8,12,13],[4,5,6,8,10,12],[4,7,8,9,10,11]];
G[7351]:=Group([(1,8)(2,7)(3,4)(5,11)]);
# Design 7352: autom. group order 2, simple
B[7352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,11,12,13],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,7,9,13],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7352]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7353: autom. group order 2, simple, derived
B[7353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,7,9,12,13],[1,5,6,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,8,9,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,13],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,6,8,10,13],[3,4,6,9,10,12],[3,5,6,7,9,11],[3,5,7,11,12,13],[4,5,6,8,9,11],[4,7,8,9,10,11]];
G[7353]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 7354: autom. group order 2, simple
B[7354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,9,10,12,13],[3,4,5,7,10,12],[3,4,6,7,9,13],[3,4,6,9,10,12],[3,5,6,8,10,11],[3,5,8,9,11,12],[4,5,6,7,11,13],[4,7,8,9,10,11]];
G[7354]:=Group([(1,10)(3,9)(4,13)(6,7)(8,12)]);
# Design 7355: autom. group order 2, simple, derived
B[7355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,10,11,13],[1,3,8,9,12,13],[1,4,5,7,9,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,10,11,13],[2,4,6,8,9,10],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,6,7,8,9],[3,5,9,10,11,12],[4,5,6,9,12,13],[4,7,8,9,10,11]];
G[7355]:=Group([(1,12)(2,11)(6,7)]);
# Design 7356: autom. group order 2, simple, derived
B[7356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,10,11,13],[1,3,8,9,12,13],[1,4,5,7,9,13],[1,4,8,10,12,13],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,10,11,13],[2,4,6,8,9,10],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,7,11,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,6,7,8,9],[3,5,9,10,11,12],[4,5,6,9,12,13],[4,7,8,9,10,11]];
G[7356]:=Group([(1,12)(2,11)(6,7)]);
# Design 7357: autom. group order 2, simple
B[7357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,3,9,11,12,13],[1,4,5,8,10,11],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,7,10,11,13],[2,3,8,10,11,12],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,9,10],[3,4,5,7,10,13],[3,4,6,7,9,11],[3,4,6,8,9,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,6,7,11,12],[4,8,9,10,11,13]];
G[7357]:=Group([(1,12)(3,13)(6,8)(7,10)]);
# Design 7358: autom. group order 2, simple, derived
B[7358]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,11,13],[1,3,6,8,9,11],[1,4,5,6,10,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7358]:=Group([(1,9)(3,10)(4,11)(6,7)(8,13)]);
# Design 7359: autom. group order 2, simple
B[7359]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,12,13],[1,3,6,8,9,12],[1,4,5,6,10,13],[1,4,7,9,10,13],[1,5,7,11,12,13],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7359]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7360: autom. group order 2, simple, derived
B[7360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,11,13],[1,4,5,6,10,13],[1,4,8,10,11,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7360]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 7361: autom. group order 2, simple, derived
B[7361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,10,13],[1,3,6,8,9,12],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,5,6,7,11,12],[1,5,9,10,12,13],[1,8,9,10,11,13],[2,3,6,9,11,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7361]:=Group([(2,10)(3,9)(4,13)(6,12)(7,11)]);
# Design 7362: autom. group order 2, simple
B[7362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,11,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7362]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7363: autom. group order 2, simple
B[7363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,11],[1,3,6,7,10,13],[1,3,6,8,10,12],[1,4,5,7,12,13],[1,4,6,8,11,13],[1,5,6,7,11,12],[1,5,9,10,11,13],[1,8,9,10,12,13],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,7,8,9,12],[3,5,7,8,11,13],[4,5,6,8,9,12],[4,6,7,8,9,10]];
G[7363]:=Group([(2,10)(3,9)(4,13)(6,11)(7,12)]);
# Design 7364: autom. group order 2, simple
B[7364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,10,13],[1,3,6,8,9,12],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,5,6,7,11,12],[1,5,9,10,12,13],[1,8,9,10,11,13],[2,3,6,9,11,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,7,8,9,11],[3,5,7,8,12,13],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7364]:=Group([(2,10)(3,9)(4,13)(6,12)(7,11)]);
# Design 7365: autom. group order 2, simple, derived
B[7365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,10,13],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,5,6,7,11,12],[1,5,9,10,11,13],[1,8,9,10,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,8,11,13],[4,6,7,8,9,10]];
G[7365]:=Group([(2,10)(3,9)(4,13)(6,11)(7,12)]);
# Design 7366: autom. group order 2, simple, derived
B[7366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,6,10,11,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,5,7,8,11,12],[3,5,8,9,10,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7366]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7367: autom. group order 2, simple, derived
B[7367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,7,11,13],[2,5,6,9,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,5,7,8,9,12],[3,5,8,10,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7367]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7368: autom. group order 2, simple, derived
B[7368]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,10,13],[1,3,6,8,9,12],[1,4,5,7,11,13],[1,4,6,8,12,13],[1,5,6,7,11,12],[1,5,9,10,12,13],[1,8,9,10,11,13],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,6,7,9,13],[2,5,6,8,9,11],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,7,8,9,12],[4,6,7,8,9,10]];
G[7368]:=Group([(2,10)(3,9)(4,13)(6,12)(7,11)]);
# Design 7369: autom. group order 2, simple, derived
B[7369]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,10,13],[1,3,6,8,9,11],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,5,6,7,11,12],[1,5,9,10,11,13],[1,8,9,10,12,13],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,8,12,13],[3,5,7,8,10,11],[4,5,7,8,9,11],[4,6,7,8,9,10]];
G[7369]:=Group([(2,10)(3,9)(4,13)(6,11)(7,12)]);
# Design 7370: autom. group order 2, simple
B[7370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,7,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,7,8,11,13],[2,3,7,9,10,12],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,6,8,10,11,12],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,8,9,12,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,7,9,11,12],[4,6,7,8,9,10]];
G[7370]:=Group([(2,10)(3,9)(4,13)(6,11)]);
# Design 7371: autom. group order 2, simple
B[7371]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,7,10,12],[1,5,6,7,8,11],[1,5,9,10,11,13],[1,7,8,9,10,13],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,6,8,9,12],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,7,9,11,12],[4,6,8,9,10,12]];
G[7371]:=Group([(2,10)(3,9)(4,13)(6,11)]);
# Design 7372: autom. group order 2, simple
B[7372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,12,13],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,6,7,11,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,7,8,10,11],[2,3,9,10,12,13],[2,4,5,8,11,12],[2,4,6,10,12,13],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,6,8,10,11,13],[3,4,5,7,10,13],[3,4,6,7,9,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,6,9,10,11],[4,7,8,9,10,12]];
G[7372]:=Group([(1,13)(3,10)(4,6)(5,12)(7,11)]);
# Design 7373: autom. group order 2, simple, derived
B[7373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,5,7,8,10,11],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7373]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7374: autom. group order 2, simple, derived
B[7374]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,5,7,8,11,13],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7374]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7375: autom. group order 2, simple
B[7375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,11,12],[1,3,6,9,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7375]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7376: autom. group order 2, simple, derived
B[7376]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,7,8,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,6,11,13],[2,4,6,8,9,12],[2,5,7,8,9,10],[2,5,7,8,11,13],[2,6,9,10,11,13],[3,4,5,7,9,13],[3,4,8,10,11,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,6,7,8,9,10]];
G[7376]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 7377: autom. group order 2, simple, derived
B[7377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,7,8,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,6,11,13],[2,4,6,8,9,12],[2,5,7,8,9,10],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,5,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,6,8,9,10,11]];
G[7377]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 7378: autom. group order 2, simple, derived
B[7378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,9,11],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,6,10,13],[2,4,6,7,9,12],[2,5,8,9,11,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,6,8,9,10,11]];
G[7378]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7379: autom. group order 2, simple
B[7379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,6,10,13],[2,4,7,8,10,12],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7379]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7380: autom. group order 2, simple
B[7380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,7,8,9,13],[2,5,6,8,11,12],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7380]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7381: autom. group order 2, simple, derived
B[7381]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,7,9,10,12],[2,5,6,8,11,12],[2,5,8,9,10,11],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7381]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7382: autom. group order 2, simple, derived
B[7382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,11,12],[1,3,6,9,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,6,10,13],[2,4,7,9,12,13],[2,5,6,8,9,11],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7382]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7383: autom. group order 2, simple, derived
B[7383]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,5,6,10,13],[2,4,7,9,10,12],[2,5,6,8,11,12],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7383]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7384: autom. group order 2, simple, derived
B[7384]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,11],[1,3,6,8,12,13],[1,4,5,8,9,13],[1,4,9,10,11,13],[1,5,6,7,12,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,6,9,11,12],[2,3,7,8,9,13],[2,4,5,6,8,11],[2,4,7,10,12,13],[2,5,6,9,10,13],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,10,12],[3,5,7,9,11,13],[3,5,8,11,12,13],[4,5,6,7,9,12],[4,6,7,8,9,11]];
G[7384]:=Group([(2,12)(3,6)(4,13)(5,8)]);
# Design 7385: autom. group order 2, simple, derived
B[7385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,11,13],[1,3,6,10,11,12],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,6,7,8,10],[1,5,7,9,12,13],[1,6,9,10,12,13],[2,3,6,8,9,12],[2,3,8,10,12,13],[2,4,5,6,10,13],[2,4,7,10,12,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,8,11,12],[4,6,7,8,9,10]];
G[7385]:=Group([(2,12)(3,13)(4,9)(6,7)(8,10)]);
# Design 7386: autom. group order 2, simple
B[7386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,10,11,12,13],[1,3,6,7,11,12],[1,3,6,8,10,13],[1,4,5,11,12,13],[1,4,8,9,12,13],[1,5,6,9,10,11],[1,5,7,8,10,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,7,8,9,10,11],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,9,10,11,12],[3,5,7,8,11,12],[3,5,8,9,11,13],[4,5,6,7,10,12],[4,6,7,9,10,13]];
G[7386]:=Group([(1,2)(3,4)(5,7)(6,8)(10,11)]);
# Design 7387: autom. group order 2, simple, derived
B[7387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,9,10,13],[1,4,5,7,8,10],[1,4,8,9,12,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,5,6,7,8,11],[2,5,6,9,10,12],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,7,8,9,12],[3,5,8,9,11,13],[4,5,6,7,9,13],[4,6,7,9,10,11]];
G[7387]:=Group([(1,9)(3,10)(4,12)]);
# Design 7388: autom. group order 2, simple, derived
B[7388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,12],[1,3,6,9,10,13],[1,4,5,7,8,10],[1,4,8,9,12,13],[1,5,6,7,12,13],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,5,6,7,8,11],[2,5,6,9,10,12],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,13],[4,6,7,9,10,11]];
G[7388]:=Group([(1,9)(3,10)(4,12)]);
# Design 7389: autom. group order 2, simple, derived
B[7389]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,11,12],[1,3,6,9,10,13],[1,4,5,7,8,10],[1,4,8,9,12,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,5,6,7,8,11],[2,5,6,9,10,12],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,7,8,9,12],[3,5,8,9,11,13],[4,5,6,7,9,13],[4,6,8,9,10,11]];
G[7389]:=Group([(1,9)(3,10)(4,12)]);
# Design 7390: autom. group order 2, simple, derived
B[7390]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,6,9,10,13],[1,4,5,7,8,10],[1,4,8,9,12,13],[1,5,6,7,12,13],[1,5,8,9,11,13],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,7,9,11,13],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,5,6,7,8,11],[2,5,6,9,10,12],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,13],[4,6,8,9,10,11]];
G[7390]:=Group([(1,9)(3,10)(4,12)]);
# Design 7391: autom. group order 2, simple, derived
B[7391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,5,6,9,13],[3,4,7,8,9,10],[3,4,8,9,12,13],[3,5,7,9,11,12],[3,5,7,10,11,13],[4,5,6,8,11,12],[4,6,7,9,10,11]];
G[7391]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7392: autom. group order 2, simple, derived
B[7392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,7,10,12,13],[2,3,8,9,10,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,5,6,8,11,12],[2,5,7,8,11,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,6,7,8,9,10]];
G[7392]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7393: autom. group order 2, simple, derived
B[7393]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,7,10,12,13],[2,3,8,9,10,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,5,6,8,11,12],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,7,9,10,11],[4,6,7,8,9,10]];
G[7393]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7394: autom. group order 2, simple
B[7394]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,12,13],[1,3,6,9,11,13],[1,4,5,11,12,13],[1,4,7,8,10,13],[1,5,6,7,8,11],[1,5,7,9,10,12],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,3,8,9,10,13],[2,4,5,6,10,13],[2,4,6,7,9,12],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,10,12],[3,4,8,10,11,12],[3,5,6,7,10,11],[3,5,7,9,12,13],[4,5,7,8,9,13],[4,6,9,10,11,13]];
G[7394]:=Group([(2,9)(3,10)(4,12)(6,7)]);
# Design 7395: autom. group order 2, simple
B[7395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,9,11],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,7,11,12,13],[2,3,8,9,10,13],[2,4,5,6,10,13],[2,4,6,7,9,12],[2,5,6,8,11,12],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,6,8,9,10,11]];
G[7395]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7396: autom. group order 2, simple
B[7396]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,9,10,11,13],[1,3,6,9,10,12],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,9,10,13],[1,5,6,8,9,11],[1,5,7,8,10,12],[1,6,7,8,11,13],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,8,9,10],[3,4,5,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,5,7,9,12,13],[3,5,7,10,11,13],[4,5,6,9,10,12],[4,7,8,9,11,12]];
G[7396]:=Group([(1,2)(5,7)(6,8)(10,11)]);
# Design 7397: autom. group order 2, simple
B[7397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,9,10,11,13],[1,3,6,9,10,12],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,9,11,13],[1,5,6,8,9,10],[1,5,7,8,11,12],[1,6,7,8,10,13],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,8,9,11],[3,4,5,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,5,7,9,12,13],[3,5,7,10,11,13],[4,5,6,9,11,12],[4,7,8,9,10,12]];
G[7397]:=Group([(1,2)(5,7)(6,8)(10,11)]);
# Design 7398: autom. group order 2, simple
B[7398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,9,10,11,13],[1,3,6,9,10,12],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,9,10,13],[1,5,6,8,11,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,5,6,7,11,12],[2,5,6,8,9,10],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,5,7,9,12,13],[3,5,7,10,11,13],[4,5,6,9,10,12],[4,7,8,9,11,12]];
G[7398]:=Group([(1,2)(5,7)(6,8)(10,11)]);
# Design 7399: autom. group order 2, simple
B[7399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,9,10,11,13],[1,3,6,9,10,12],[1,3,6,11,12,13],[1,4,5,8,12,13],[1,4,7,9,11,13],[1,5,6,8,10,13],[1,5,7,8,11,12],[1,6,7,8,9,10],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,8,11,13],[3,4,5,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,5,7,9,12,13],[3,5,7,10,11,13],[4,5,6,9,11,12],[4,7,8,9,10,12]];
G[7399]:=Group([(1,2)(5,7)(6,8)(10,11)]);
# Design 7400: autom. group order 2, simple, derived
B[7400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,6,9,10,13],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7400]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7401: autom. group order 2, simple, derived
B[7401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,6,9,10,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7401]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7402: autom. group order 2, simple, derived
B[7402]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,6,9,10,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,9,10,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7402]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7403: autom. group order 2, simple, derived
B[7403]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,5,6,7,12],[1,4,6,9,10,13],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,9,10],[3,4,5,7,10,13],[3,4,7,8,9,11],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,6,9,10,11],[4,5,8,10,11,12],[4,6,7,9,12,13]];
G[7403]:=Group([(1,11)(3,13)(6,8)(7,10)]);
# Design 7404: autom. group order 2, simple
B[7404]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,12],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,5,6,11,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,9,12],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,12],[3,4,9,10,11,12],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,7,9,10,13],[4,6,7,8,9,11]];
G[7404]:=Group([(1,8)(2,6)(3,11)(4,10)(5,7)]);
# Design 7405: autom. group order 2, simple
B[7405]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,6,7,9,12],[1,3,8,9,11,12],[1,4,5,6,11,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[7405]:=Group([(1,8)(2,6)(3,11)(4,10)(5,7)]);
# Design 7406: autom. group order 2, simple
B[7406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,6,7,9,12],[1,3,8,11,12,13],[1,4,5,6,11,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,10,12,13],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[7406]:=Group([(1,8)(2,6)(3,11)(4,10)(5,7)]);
# Design 7407: autom. group order 2, simple
B[7407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,6,7,9,12],[1,3,8,11,12,13],[1,4,5,6,11,13],[1,4,8,9,10,12],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7407]:=Group([(1,8)(2,6)(3,11)(4,10)(5,7)]);
# Design 7408: autom. group order 2, simple
B[7408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,12],[1,3,6,7,11,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,5,7,8,9,11],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,7,8,10,13],[2,4,5,8,9,13],[2,4,6,9,10,11],[2,5,6,7,11,13],[2,5,8,11,12,13],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,6,8,9,11],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,7,9,10,13],[4,6,7,8,9,12]];
G[7408]:=Group([(1,8)(2,6)(3,12)(4,10)(5,7)]);
# Design 7409: autom. group order 2, simple
B[7409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,5,6,11,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,9,10,12],[2,3,6,9,11,12],[2,3,7,8,10,13],[2,4,5,8,9,12],[2,4,6,10,12,13],[2,5,6,7,9,13],[2,5,8,11,12,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,7,11,12,13],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[7409]:=Group([(1,8)(2,6)(3,11)(4,10)(5,7)]);
# Design 7410: autom. group order 2, simple
B[7410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,10,11,13],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,5,6,11,13],[1,4,8,10,12,13],[1,5,6,8,10,11],[1,5,7,8,9,13],[1,6,7,9,10,12],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,5,8,9,12],[2,4,6,9,10,12],[2,5,6,7,9,13],[2,5,8,11,12,13],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7410]:=Group([(1,8)(2,6)(3,11)(4,10)(5,7)]);
# Design 7411: autom. group order 2, simple, derived
B[7411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,12],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,9,11,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,9,11],[4,5,7,9,10,11],[4,6,7,8,9,12]];
G[7411]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7412: autom. group order 2, simple
B[7412]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,12],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,9,10,12,13],[1,5,6,8,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,9,13],[3,5,7,8,9,11],[4,5,7,9,10,13],[4,6,7,8,9,12]];
G[7412]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7413: autom. group order 2, simple, derived
B[7413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,12],[1,3,7,10,11,13],[1,4,5,6,7,13],[1,4,10,11,12,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,9,11,12],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[4,5,7,9,10,11],[4,6,7,8,9,12]];
G[7413]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7414: autom. group order 2, simple, derived
B[7414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,10,12,13],[1,4,5,6,7,12],[1,4,10,11,12,13],[1,5,6,8,10,11],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,6,9,11,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,6,8,12,13],[2,5,6,7,10,11],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[4,5,7,9,10,13],[4,6,7,8,9,11]];
G[7414]:=Group([(1,8)(2,7)(3,4)(5,11)(6,10)]);
# Design 7415: autom. group order 2, simple, derived
B[7415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,7,9,10,13],[1,4,5,6,7,11],[1,4,10,11,12,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,6,8,9,13],[2,5,6,7,10,12],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[4,5,7,9,10,13],[4,6,7,8,9,12]];
G[7415]:=Group([(1,8)(2,7)(3,4)(5,12)(6,10)]);
# Design 7416: autom. group order 2, simple
B[7416]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,12,13],[1,3,7,9,10,12],[1,4,5,6,7,11],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,5,8,9,12,13],[1,6,8,10,11,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,6,8,9,12],[2,5,6,7,10,13],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,5,6,8,9,11],[3,5,7,8,11,12],[4,5,7,9,10,12],[4,6,7,8,9,13]];
G[7416]:=Group([(1,8)(2,7)(3,4)(5,13)(6,10)]);
# Design 7417: autom. group order 2, simple, derived
B[7417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,7,9,10,13],[1,5,6,10,11,13],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7417]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7418: autom. group order 2, simple, derived
B[7418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,7,8,9,13],[1,5,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7418]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7419: autom. group order 2, simple
B[7419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,7,9,10,13],[1,5,6,10,11,13],[1,5,8,9,10,12],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7419]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7420: autom. group order 2, simple, derived
B[7420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,8,9,10,12],[1,5,6,9,10,13],[1,5,7,8,11,13],[1,6,7,9,11,12],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7420]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7421: autom. group order 2, simple, derived
B[7421]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,12,13],[1,3,8,10,12,13],[1,4,5,6,8,11],[1,4,8,9,10,12],[1,5,6,10,11,13],[1,5,7,8,9,13],[1,6,7,9,11,12],[2,3,6,8,11,12],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,4,8,10,11,13],[3,5,6,9,10,12],[3,5,7,8,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[7421]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7422: autom. group order 2, simple
B[7422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,12,13],[1,3,9,11,12,13],[1,4,5,6,8,11],[1,4,8,9,10,12],[1,5,6,9,10,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,12,13],[2,5,6,7,9,11],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,7,9,13],[3,4,7,9,10,11],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[7422]:=Group([(1,12)(3,13)(6,7)(8,10)]);
# Design 7423: autom. group order 2, simple
B[7423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,6,7,12],[1,4,7,8,9,13],[1,5,6,10,12,13],[1,5,8,9,10,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,8,10,11,12],[4,6,7,8,9,10]];
G[7423]:=Group([(1,11)(3,13)(6,8)(7,10)]);
# Design 7424: autom. group order 2, simple
B[7424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,10,11,12],[1,3,7,10,12,13],[1,4,5,6,7,13],[1,4,7,9,11,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,8,9,10,11],[4,6,7,8,10,12]];
G[7424]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7425: autom. group order 2, simple
B[7425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,5,6,7,13],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,6,7,9,11],[2,5,7,10,11,12],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,9,10,13],[4,5,8,9,10,13],[4,6,7,8,10,11]];
G[7425]:=Group([(1,8)(2,7)(3,4)(5,11)(6,9)]);
# Design 7426: autom. group order 2, simple, derived
B[7426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,10,11,12],[1,3,7,10,12,13],[1,4,5,6,7,13],[1,4,7,9,11,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,8,9,10,11],[4,6,7,8,10,12]];
G[7426]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7427: autom. group order 2, simple
B[7427]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,10,11,13],[1,3,7,10,11,12],[1,4,5,6,7,13],[1,4,7,9,12,13],[1,5,6,8,9,11],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,6,11,12,13],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,9,12,13],[4,5,8,9,10,13],[4,6,7,8,10,11]];
G[7427]:=Group([(1,8)(2,7)(3,4)(5,11)(6,9)]);
# Design 7428: autom. group order 2, simple
B[7428]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,5,6,7,13],[1,4,7,9,10,12],[1,5,6,8,9,11],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,5,6,7,9,11],[2,5,7,11,12,13],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,9,10,13],[4,5,8,9,10,13],[4,6,7,8,10,11]];
G[7428]:=Group([(1,8)(2,7)(3,4)(5,11)(6,9)]);
# Design 7429: autom. group order 2, simple, derived
B[7429]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,10,11,12],[1,3,7,11,12,13],[1,4,5,6,7,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,8,9,11,13],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,8,9,10,11],[4,6,7,8,10,12]];
G[7429]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7430: autom. group order 2, simple, derived
B[7430]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,10,12,13],[1,3,7,11,12,13],[1,4,5,6,7,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,8,9,10,13],[4,6,7,8,10,12]];
G[7430]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7431: autom. group order 2, simple, derived
B[7431]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,5,6,7,13],[1,4,7,9,10,12],[1,5,6,8,9,11],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,11,12,13],[2,5,6,7,9,11],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,9,12,13],[4,5,8,9,10,13],[4,6,7,8,10,11]];
G[7431]:=Group([(1,8)(2,7)(3,4)(5,11)(6,9)]);
# Design 7432: autom. group order 2, simple
B[7432]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,10,12,13],[1,3,7,10,11,12],[1,4,5,6,7,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,5,8,10,11],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,8,9,10,13],[4,6,7,8,10,12]];
G[7432]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7433: autom. group order 2, simple, derived
B[7433]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,11,12,13],[1,3,7,10,11,12],[1,4,5,6,7,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,5,6,7,9,12],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,5,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[4,5,8,9,11,13],[4,6,7,8,10,12]];
G[7433]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7434: autom. group order 2, simple
B[7434]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,11,12,13],[1,3,7,10,11,12],[1,4,5,6,7,13],[1,4,7,9,10,13],[1,5,6,8,9,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,3,8,9,12,13],[2,4,5,8,10,11],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,10,12,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,8,9,11,13],[4,6,7,8,10,12]];
G[7434]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7435: autom. group order 2, simple
B[7435]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,11,12,13],[1,3,7,10,12,13],[1,4,5,6,7,13],[1,4,7,9,10,11],[1,5,6,8,9,12],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,6,8,10,11],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,6,7,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,8,9,11,13],[4,6,7,8,10,12]];
G[7435]:=Group([(1,8)(2,7)(3,4)(5,12)(6,9)]);
# Design 7436: autom. group order 2, simple
B[7436]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,6,7,12],[1,4,8,9,10,13],[1,5,6,9,10,13],[1,5,7,8,12,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,7,9,12,13],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,8,10,11,12],[4,6,7,8,9,10]];
G[7436]:=Group([(1,11)(3,13)(6,8)(7,10)]);
# Design 7437: autom. group order 2, simple, derived
B[7437]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,10,11],[1,3,7,8,11,12],[1,4,5,6,12,13],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,9,11,13],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,7,8,9],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,8,10,13],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[4,5,8,9,10,11],[4,6,7,9,10,12]];
G[7437]:=Group([(2,12)(3,13)(8,10)]);
# Design 7438: autom. group order 2, simple
B[7438]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,12,13],[1,3,7,11,12,13],[1,4,5,6,10,13],[1,4,7,8,9,10],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,8,9,11],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,11,12],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,6,8,9,10,11]];
G[7438]:=Group([(1,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7439: autom. group order 2, simple, derived
B[7439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,9,11,12,13],[1,4,5,6,7,12],[1,4,8,9,10,13],[1,5,6,9,10,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,6,10,11,13],[2,5,6,8,9,12],[2,5,7,9,11,13],[2,6,7,8,9,10],[3,4,5,7,10,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,7,8,9,11],[4,5,8,10,11,12],[4,6,7,9,12,13]];
G[7439]:=Group([(1,11)(3,13)(6,8)(7,10)]);
# Design 7440: autom. group order 2, simple, derived
B[7440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,8,11,13],[1,3,8,10,12,13],[1,4,5,6,10,12],[1,4,7,9,10,13],[1,5,6,7,11,13],[1,5,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,9,11],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,10],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,7,10,11],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,9,10,11,13],[4,5,7,8,9,13],[4,6,7,10,11,12]];
G[7440]:=Group([(2,11)(3,6)(4,13)(5,8)]);
# Design 7441: autom. group order 2, simple, derived
B[7441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,9,10,12],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,8,10,12,13],[3,4,5,10,11,13],[3,4,6,7,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,7,10,11,12],[4,5,8,9,10,12],[4,6,7,9,10,11]];
G[7441]:=Group([(2,11)(3,6)(4,12)(5,8)]);
# Design 7442: autom. group order 2, simple, derived
B[7442]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,9,10,12],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,8,9,12,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,7,10,11,12],[4,5,8,9,10,12],[4,6,7,9,10,11]];
G[7442]:=Group([(2,11)(3,6)(4,12)(5,8)]);
# Design 7443: autom. group order 2, simple, derived
B[7443]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,9,10,12],[2,4,5,8,11,12],[2,4,6,8,9,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,10,12,13],[3,4,5,10,11,13],[3,4,6,7,12,13],[3,4,7,8,10,11],[3,5,6,7,8,9],[3,5,9,11,12,13],[4,5,8,9,10,12],[4,6,7,9,10,11]];
G[7443]:=Group([(2,11)(3,6)(4,12)(5,8)]);
# Design 7444: autom. group order 2, simple, derived
B[7444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,9,10,12],[2,4,5,8,11,12],[2,4,6,8,10,13],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,9,12,13],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,7,8,10,11],[3,5,6,7,8,9],[3,5,10,11,12,13],[4,5,8,9,10,12],[4,6,7,9,10,11]];
G[7444]:=Group([(2,11)(3,6)(4,12)(5,8)]);
# Design 7445: autom. group order 2, simple, derived
B[7445]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,9,10,12],[2,4,5,8,11,12],[2,4,6,8,9,13],[2,5,6,10,12,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,7,10,11],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,9,11,12,13],[4,5,8,9,10,12],[4,6,7,9,10,11]];
G[7445]:=Group([(2,11)(3,6)(4,12)(5,8)]);
# Design 7446: autom. group order 2, simple, derived
B[7446]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,12],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,9,10,12],[2,4,5,8,11,12],[2,4,6,8,10,13],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,7,10,11],[3,4,6,7,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,10,11,12,13],[4,5,8,9,10,12],[4,6,7,9,10,11]];
G[7446]:=Group([(2,11)(3,6)(4,12)(5,8)]);
# Design 7447: autom. group order 2, simple
B[7447]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,11,12],[1,3,7,8,9,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,8,9,10,11,12],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,8,10,11],[2,4,6,7,9,12],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,7,10,11,12],[4,5,7,8,12,13],[4,6,7,9,10,11]];
G[7447]:=Group([(1,5)(2,13)(3,12)(6,10)]);
# Design 7448: autom. group order 2, simple
B[7448]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,9,12],[1,3,7,10,11,13],[1,4,5,8,11,13],[1,4,6,10,11,12],[1,5,6,7,8,10],[1,5,6,7,12,13],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,7,9,10,11],[4,6,7,8,9,13]];
G[7448]:=Group([(1,11)(3,6)(4,13)(5,8)(7,12)]);
# Design 7449: autom. group order 2, simple, derived
B[7449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,5,6,7,9,10],[1,5,6,7,12,13],[1,8,9,10,12,13],[2,3,6,8,10,13],[2,3,7,8,9,12],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,11,13],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,9,10,12,13],[3,5,6,9,11,12],[3,5,7,8,11,12],[4,5,7,8,10,11],[4,6,7,8,9,10]];
G[7449]:=Group([(1,11)(3,13)(4,9)(6,8)]);
# Design 7450: autom. group order 2, simple, derived
B[7450]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,9,11],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,6,7,9,12],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[4,5,8,10,11,12],[4,6,7,9,10,11]];
G[7450]:=Group([(2,12)(3,13)(4,9)]);
# Design 7451: autom. group order 2, simple, derived
B[7451]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,9,11],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,6,7,9,12],[2,5,6,7,11,12],[2,5,8,9,10,11],[2,6,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,8,10,11,12],[4,6,7,9,10,11]];
G[7451]:=Group([(2,12)(3,13)(4,9)]);
# Design 7452: autom. group order 2, simple
B[7452]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,12,13],[1,3,7,9,10,13],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,6,7,11,12],[1,5,6,8,9,11],[1,7,8,10,11,12],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,9,12],[3,5,7,10,11,13],[4,5,8,9,11,13],[4,6,7,8,9,10]];
G[7452]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7453: autom. group order 2, simple, derived
B[7453]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,12,13],[1,3,7,9,10,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,7,11,12],[1,5,6,10,11,13],[1,7,8,10,11,12],[2,3,6,8,10,11],[2,3,8,11,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,5,6,7,8,13],[2,5,8,9,10,12],[2,6,9,10,12,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,5,7,8,9,11],[4,5,8,9,11,13],[4,6,7,8,9,10]];
G[7453]:=Group([(1,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7454: autom. group order 2, simple, derived
B[7454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,8,10,13],[1,4,6,8,9,11],[1,5,6,7,9,12],[1,5,6,10,12,13],[1,7,8,9,12,13],[2,3,6,8,12,13],[2,3,8,9,10,12],[2,4,5,7,11,13],[2,4,6,7,12,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,8,10,11,12],[4,6,7,8,9,10]];
G[7454]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 7455: autom. group order 2, simple, derived
B[7455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,8,9,10,11],[1,4,5,8,10,13],[1,4,6,7,11,13],[1,5,6,7,9,12],[1,5,6,10,12,13],[1,7,8,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,9,10,11,13],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,8,10,11,12],[4,6,7,8,9,10]];
G[7455]:=Group([(1,11)(3,13)(4,9)(6,8)(7,10)]);
# Design 7456: autom. group order 2, simple, derived
B[7456]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,6,8,12,13],[1,5,6,7,9,11],[1,5,9,10,12,13],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,6,10,11],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,7,10,11,13],[4,6,7,8,9,10]];
G[7456]:=Group([(2,12)(3,13)(6,7)]);
# Design 7457: autom. group order 2, simple, derived
B[7457]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,9,10,11,12],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,9,11],[1,4,6,8,10,13],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,5,7,10,12],[2,4,6,7,9,13],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,6,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,7,8,9,10],[4,6,9,10,11,12]];
G[7457]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 7458: autom. group order 2, simple, derived
B[7458]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,9,10,11,12],[1,3,6,7,9,11],[1,3,7,10,11,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,6,8,11,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,6,8,10,12],[2,3,8,9,12,13],[2,4,5,7,9,11],[2,4,6,7,10,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,5,6,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,7,8,9,10],[4,6,9,10,11,12]];
G[7458]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 7459: autom. group order 2, simple, derived
B[7459]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,9,10,11,12],[1,3,6,7,9,11],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,6,8,11,13],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,5,7,9,11],[2,4,6,7,10,13],[2,5,6,7,12,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,6,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[4,5,7,8,9,10],[4,6,9,10,11,12]];
G[7459]:=Group([(1,2)(7,8)(9,10)(11,12)]);
# Design 7460: autom. group order 2, simple
B[7460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,9,11,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,6,8,10,12,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,9,12,13],[4,5,6,7,9,13],[4,7,8,9,10,11]];
G[7460]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7461: autom. group order 2, simple, derived
B[7461]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,9,11,13],[1,5,6,8,11,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7461]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7462: autom. group order 2, simple
B[7462]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,9,11,13],[1,5,6,8,11,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,9,12,13],[4,5,6,7,9,13],[4,7,8,9,10,11]];
G[7462]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7463: autom. group order 2, simple, derived
B[7463]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,10,11],[1,3,7,10,12,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,8,10,12],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7463]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7464: autom. group order 2, simple, derived
B[7464]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,9,13],[1,3,6,7,11,13],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,13],[4,7,8,9,10,11]];
G[7464]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7465: autom. group order 2, simple, derived
B[7465]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,10,11],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,6,9,11,13],[1,5,6,8,11,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7465]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7466: autom. group order 2, simple, derived
B[7466]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,9,11,13],[1,5,6,8,11,12],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,9,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7466]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7467: autom. group order 2, simple
B[7467]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,10,11],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7467]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7468: autom. group order 2, simple, derived
B[7468]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,10,11],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,13],[4,7,8,9,10,11]];
G[7468]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7469: autom. group order 2, simple
B[7469]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,9,10,11,12],[2,4,5,8,12,13],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7469]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7470: autom. group order 2, simple, derived
B[7470]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,13],[4,7,8,9,10,11]];
G[7470]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7471: autom. group order 2, simple, derived
B[7471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,10,11],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,9,10],[4,7,8,9,10,11]];
G[7471]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7472: autom. group order 2, simple
B[7472]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,10,11],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,10,13],[4,7,8,9,10,11]];
G[7472]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7473: autom. group order 2, simple
B[7473]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,10,13],[4,7,8,9,10,11]];
G[7473]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7474: autom. group order 2, simple
B[7474]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,6,7,11,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,5,8,9,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,13],[2,5,6,7,11,12],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,5,6,7,8,9],[3,5,8,10,12,13],[4,5,6,7,10,13],[4,7,8,9,10,11]];
G[7474]:=Group([(1,8)(2,7)(3,4)(5,11)(6,12)]);
# Design 7475: autom. group order 2, simple
B[7475]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,10,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7475]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7476: autom. group order 2, simple, derived
B[7476]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,5,7,10,13],[1,4,6,9,10,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,10,13],[4,5,6,7,10,11],[4,7,8,9,10,12]];
G[7476]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7477: autom. group order 2, simple, derived
B[7477]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,5,7,10,13],[1,4,6,10,11,12],[1,5,6,8,12,13],[1,5,8,9,10,12],[1,6,8,9,11,13],[2,3,6,8,10,12],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7477]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7478: autom. group order 2, simple, derived
B[7478]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,3,7,10,11,13],[1,4,5,7,10,13],[1,4,6,10,11,12],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,6,8,10,12],[2,3,9,10,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,9,11,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,10,11,13],[4,5,6,7,9,10],[4,7,8,9,10,12]];
G[7478]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7479: autom. group order 2, simple, derived
B[7479]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,9,10,12],[1,5,6,8,12,13],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,10,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7479]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7480: autom. group order 2, simple
B[7480]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,9,11,12],[1,5,6,8,12,13],[1,5,8,9,10,12],[1,6,8,10,11,13],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7480]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7481: autom. group order 2, simple, derived
B[7481]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,9,11,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,9,11,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,9,10],[4,7,8,9,10,12]];
G[7481]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7482: autom. group order 2, simple
B[7482]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,9,11,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7482]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7483: autom. group order 2, simple
B[7483]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,9,10,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,10,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7483]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7484: autom. group order 2, simple, derived
B[7484]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,9,10,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,9,10,13],[4,5,6,7,10,11],[4,7,8,9,10,12]];
G[7484]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7485: autom. group order 2, simple, derived
B[7485]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,10,12],[1,3,7,10,11,13],[1,4,5,7,9,13],[1,4,6,10,11,12],[1,5,6,8,12,13],[1,5,8,9,10,12],[1,6,8,9,11,13],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,10,11,12],[2,6,7,9,10,13],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,5,6,7,8,11],[3,5,8,10,11,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7485]:=Group([(1,8)(2,7)(3,4)(5,12)(6,13)]);
# Design 7486: autom. group order 2, simple
B[7486]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,9,11,13],[1,5,7,8,9,12],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,5,8,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7486]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 7487: autom. group order 2, simple, derived
B[7487]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,7,9,10,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,6,8,10,11],[1,5,7,8,9,12],[1,6,9,11,12,13],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,6,7,10,11],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,7,8,11,13],[4,5,6,7,9,11],[4,7,8,9,10,12]];
G[7487]:=Group([(1,10)(3,9)(4,13)(6,8)]);
# Design 7488: autom. group order 2, simple, derived
B[7488]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,6,8,12,13],[1,5,6,7,9,11],[1,5,9,10,12,13],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,7,8,9,12],[4,5,6,7,10,11],[4,7,8,9,10,13]];
G[7488]:=Group([(2,12)(3,13)(6,7)]);
# Design 7489: autom. group order 2, simple, derived
B[7489]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,6,8,12,13],[1,5,6,7,9,11],[1,5,9,10,12,13],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,8,9,12],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,7,8,9,10,13]];
G[7489]:=Group([(2,12)(3,13)(6,7)]);
# Design 7490: autom. group order 2, simple
B[7490]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,11,12],[1,3,6,7,9,13],[1,3,9,10,11,12],[1,4,5,8,10,13],[1,4,6,7,10,11],[1,5,6,8,9,12],[1,5,7,9,12,13],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,7,9,11],[2,4,6,9,10,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,6,7,8,9,10],[3,4,5,8,10,12],[3,4,6,9,11,12],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,5,7,10,11,13],[4,5,6,7,12,13],[4,7,8,9,10,12]];
G[7490]:=Group([(1,9)(2,11)(5,12)(7,13)]);
# Design 7491: autom. group order 2, simple
B[7491]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,8,9,11],[1,3,6,7,9,12],[1,3,8,10,11,12],[1,4,5,9,12,13],[1,4,6,7,10,13],[1,5,6,8,11,13],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,7,10,12],[2,4,6,8,10,11],[2,5,6,9,11,12],[2,5,8,9,10,13],[2,6,7,8,12,13],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,4,8,9,10,13],[3,5,6,7,10,11],[3,5,7,8,12,13],[4,5,6,7,8,9],[4,7,9,10,11,12]];
G[7491]:=Group([(1,13)(2,9)(5,11)(7,10)]);
# Design 7492: autom. group order 2, simple, derived
B[7492]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,10,11],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,5,7,10,13],[2,4,6,9,10,13],[2,5,6,8,10,11],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,8,10,12,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7492]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7493: autom. group order 2, simple, derived
B[7493]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,11,13],[1,3,7,8,12,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,5,7,9,10,12],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,7,9,12],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,10,11,12,13],[3,4,5,10,12,13],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,13],[4,7,8,9,10,11]];
G[7493]:=Group([(2,9)(3,10)(4,12)(6,7)]);
# Design 7494: autom. group order 2, simple
B[7494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,11,13],[1,3,7,8,12,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,5,7,9,10,12],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,8,10,11],[2,4,6,7,9,12],[2,5,6,10,12,13],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,8,9,13],[4,7,8,9,10,11]];
G[7494]:=Group([(2,9)(3,10)(4,12)(6,7)]);
# Design 7495: autom. group order 2, simple
B[7495]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,10,11],[1,3,6,9,10,12],[1,3,7,8,11,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,6,7,11,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,8,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,6,7,10,11],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,10,12,13],[4,5,6,7,8,9],[4,8,9,10,11,12]];
G[7495]:=Group([(1,13)(2,9)(5,11)(8,10)]);
# Design 7496: autom. group order 2, simple, derived
B[7496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,8,9,11],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,5,6,9,10,13],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,11,12],[4,8,9,10,11,13]];
G[7496]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7497: autom. group order 2, simple
B[7497]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,9,11],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,12],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,5,8,9,11,12],[3,5,8,10,11,13],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7497]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7498: autom. group order 2, simple
B[7498]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,10,11,12],[1,3,7,10,11,13],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,8,9,11],[1,5,7,9,12,13],[1,6,7,8,9,10],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,5,7,10,13],[3,4,6,7,9,11],[3,4,6,8,9,13],[3,5,7,8,11,12],[3,5,8,9,10,12],[4,5,6,7,11,12],[4,8,9,10,11,13]];
G[7498]:=Group([(2,12)(3,13)(6,8)(7,10)]);
# Design 7499: autom. group order 2, simple, derived
B[7499]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,10,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,7,10,11],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,12],[2,4,5,10,11,13],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,6,7,8,9,13],[3,4,5,8,9,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,5,7,9,11,12],[3,5,7,10,11,13],[4,5,6,8,11,12],[4,7,8,9,10,11]];
G[7499]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7500: autom. group order 2, simple, derived
B[7500]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,8,11,12],[1,3,6,10,11,13],[1,4,5,7,11,12],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,9,10,12,13],[1,7,8,9,10,12],[2,3,7,11,12,13],[2,3,8,9,10,11],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,7,10,11],[2,5,6,8,10,12],[2,5,8,11,12,13],[3,4,5,7,10,12],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,8,9,11],[4,6,7,9,10,11]];
G[7500]:=Group([(2,9)(3,10)(4,12)(6,13)]);
# Design 7501: autom. group order 2, simple
B[7501]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,12,13],[1,3,7,11,12,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,6,10,11,13],[1,5,7,8,9,11],[1,7,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,6,7,11,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,5,8,11,12,13],[3,4,5,7,9,13],[3,4,5,8,10,11],[3,4,7,10,11,12],[3,5,6,9,11,12],[3,6,7,9,10,13],[4,5,6,7,8,12],[4,6,8,9,10,11]];
G[7501]:=Group([(1,13)(3,8)(4,11)(6,12)(7,9)]);
# Design 7502: autom. group order 2, simple
B[7502]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,7,9,11],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,5,9,10,11],[1,4,6,8,9,13],[1,5,6,10,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,8,9,11,12],[3,4,5,7,11,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,5,6,7,8,9],[3,6,9,10,11,13],[4,5,7,9,12,13],[4,6,7,8,10,11]];
G[7502]:=Group([(1,8)(2,5)(3,11)(4,13)(10,12)]);
# Design 7503: autom. group order 2, simple, derived
B[7503]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,8,10,13],[1,3,7,8,11,13],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,9,11,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,7,8,10,11],[4,6,7,8,9,10]];
G[7503]:=Group([(2,10)(3,9)(4,13)(6,11)(8,12)]);
# Design 7504: autom. group order 2, simple
B[7504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,6,11,12,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,7,9,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,5,7,9,12,13],[3,4,5,7,8,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,5,6,8,10,11],[3,6,7,8,9,12],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7504]:=Group([(1,13)(3,12)(4,8)(7,10)]);
# Design 7505: autom. group order 2, simple
B[7505]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,6,11,12,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,7,10,11,12],[2,3,8,9,11,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,5,7,9,12,13],[3,4,5,7,8,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,5,6,8,10,11],[3,6,8,9,10,12],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7505]:=Group([(1,13)(3,12)(4,8)(7,10)]);
# Design 7506: autom. group order 2, simple
B[7506]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,12],[1,3,8,10,12,13],[1,4,5,7,9,13],[1,4,6,8,12,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,7,8,9,10],[2,3,7,8,9,12],[2,3,9,10,11,13],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,5,8,11,12,13],[3,4,5,7,11,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,5,6,7,8,11],[3,6,7,9,12,13],[4,5,6,9,10,12],[4,7,8,9,10,11]];
G[7506]:=Group([(1,13)(2,9)(4,6)(5,11)(8,12)]);
# Design 7507: autom. group order 2, simple
B[7507]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,11,12,13],[1,3,8,10,12,13],[1,4,5,7,8,12],[1,4,6,9,10,13],[1,5,7,9,11,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,5,8,9,12,13],[3,4,5,7,10,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,5,6,7,8,11],[3,6,7,9,10,12],[4,5,6,10,11,12],[4,7,8,9,10,11]];
G[7507]:=Group([(1,13)(3,12)(4,7)(8,10)]);
# Design 7508: autom. group order 2, simple
B[7508]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,6,11,12,13],[1,3,8,10,12,13],[1,4,5,7,8,12],[1,4,6,8,9,13],[1,5,7,9,11,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,7,9,11,13],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,5,8,9,12,13],[3,4,5,7,10,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,5,6,7,8,11],[3,6,7,8,9,12],[4,5,6,10,11,12],[4,7,8,9,10,11]];
G[7508]:=Group([(1,13)(3,12)(4,7)(8,10)]);
# Design 7509: autom. group order 2, simple, derived
B[7509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,7,11,13],[1,3,8,9,10,11],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,5,7,10,11,13],[3,4,5,7,8,12],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,5,7,10,11,12],[3,6,8,9,10,12],[4,5,6,8,11,12],[4,6,7,9,10,11]];
G[7509]:=Group([(2,12)(3,13)(4,9)]);
# Design 7510: autom. group order 2, simple, derived
B[7510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,7,11,12],[1,3,8,9,10,11],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,5,7,10,11,12],[3,4,5,7,8,12],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,5,7,10,11,13],[3,6,8,9,10,12],[4,5,6,8,11,12],[4,6,7,9,10,11]];
G[7510]:=Group([(2,12)(3,13)(4,9)]);
# Design 7511: autom. group order 2, simple
B[7511]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,12],[1,3,6,8,10,11],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,8,9,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,5,7,9,11,13],[3,4,5,6,9,13],[3,4,5,10,11,12],[3,4,7,8,9,12],[3,5,8,11,12,13],[3,6,7,9,11,12],[4,5,6,7,10,11],[4,6,7,8,9,10]];
G[7511]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7512: autom. group order 2, simple
B[7512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,6,8,11,12],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,10,12,13],[2,3,7,11,12,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,10,11],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,5,6,9,13],[3,4,5,10,11,12],[3,4,7,8,9,10],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,11,12],[4,6,8,9,10,11]];
G[7512]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7513: autom. group order 2, simple, derived
B[7513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,6,9,11,12],[1,3,6,9,10,13],[1,3,7,8,11,13],[1,4,5,7,10,12],[1,4,7,9,11,13],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,7,8,9],[2,4,9,10,12,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[3,4,5,6,11,12],[3,4,5,8,9,13],[3,4,8,10,11,12],[3,5,7,9,11,12],[3,6,7,9,12,13],[4,5,6,7,10,13],[4,6,8,9,10,11]];
G[7513]:=Group([(1,12)(2,11)(7,10)]);
# Design 7514: autom. group order 2, simple
B[7514]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,7,8,9,13],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,8,9,10,11,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,7,8,9,12],[2,5,7,10,11,13],[3,4,5,8,10,11],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,5,6,7,11,12],[3,6,8,9,10,12],[4,5,7,8,12,13],[4,6,7,9,10,11]];
G[7514]:=Group([(1,5)(2,13)(3,12)(6,10)]);
# Design 7515: autom. group order 2, simple
B[7515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,7,11,12,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,7,12,13],[2,3,6,8,10,12],[2,4,7,10,11,13],[2,4,8,9,12,13],[2,5,6,10,11,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,5,6,9,13],[3,4,5,10,11,12],[3,4,7,9,10,13],[3,5,7,8,9,11],[3,6,8,9,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7515]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7516: autom. group order 2, simple
B[7516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,7,11,12,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,7,8,10,12],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,5,8,9,11,13],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7516]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7517: autom. group order 2, simple
B[7517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,11],[1,3,7,11,12,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,8,9,10,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,8,11,12],[2,5,7,10,11,13],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,7,8,9,10,11]];
G[7517]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7518: autom. group order 2, simple
B[7518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,7,8,12,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,5,6,7,11,12],[1,5,7,9,10,13],[1,6,8,9,10,13],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,6,7,10,13],[2,4,8,10,11,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,5,7,8,12,13],[3,4,5,7,10,12],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,5,6,8,10,11],[3,6,7,8,9,11],[4,5,6,8,10,12],[4,7,9,10,11,12]];
G[7518]:=Group([(2,10)(3,9)(4,13)(6,7)]);
# Design 7519: autom. group order 2, simple
B[7519]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,7,8,12,13],[1,3,10,11,12,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,5,6,7,11,12],[1,5,7,9,10,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,3,8,9,10,12],[2,4,6,7,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,5,7,8,12,13],[3,4,5,7,10,12],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,6,8,10,12],[4,7,8,9,10,11]];
G[7519]:=Group([(2,10)(3,9)(4,13)(6,7)]);
# Design 7520: autom. group order 2, simple, derived
B[7520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,6,7,11,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,5,6,7,8,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,6,8,10,11],[2,3,7,8,12,13],[2,4,6,7,10,12],[2,4,7,9,11,13],[2,5,6,8,11,13],[2,5,6,9,12,13],[2,5,7,8,9,10],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,8,10,12,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,6,7,10,11],[4,6,8,9,10,13]];
G[7520]:=Group([(1,12)(2,11)(4,9)(6,8)]);
# Design 7521: autom. group order 2, simple
B[7521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,6,7,8,11],[1,3,6,9,10,13],[1,4,5,7,12,13],[1,4,8,9,11,13],[1,5,6,7,10,11],[1,5,6,8,12,13],[1,7,8,9,10,12],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,10],[2,5,7,8,11,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,6,8,10,12],[4,6,7,9,10,13]];
G[7521]:=Group([(1,11)(2,12)(4,9)(6,7)]);
# Design 7522: autom. group order 2, simple, derived
B[7522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,10,11,12,13],[1,3,6,7,10,11],[1,3,6,8,12,13],[1,4,5,7,12,13],[1,4,8,9,11,13],[1,5,6,7,11,13],[1,5,6,8,9,10],[1,7,8,9,10,12],[2,3,7,8,11,13],[2,3,7,9,10,13],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,5,8,10,12,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,5,7,9,11,12],[3,6,8,9,11,12],[4,5,7,8,10,11],[4,6,7,9,10,13]];
G[7522]:=Group([(1,11)(2,12)(4,9)(6,7)]);
# Design 7523: autom. group order 2, simple, derived
B[7523]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,5,8,9,10,11],[3,4,5,8,10,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,6,10,11,12],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7523]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7524: autom. group order 2, simple, derived
B[7524]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,10,11],[1,3,6,8,11,13],[1,4,5,7,8,12],[1,4,9,10,11,13],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,6,8,10,11],[2,4,6,9,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,5,8,10,11,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,11,13],[4,6,7,8,9,10]];
G[7524]:=Group([(1,11)(2,12)(4,9)]);
# Design 7525: autom. group order 2, simple, derived
B[7525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,10,11],[1,3,6,8,12,13],[1,4,5,7,8,12],[1,4,9,10,11,13],[1,5,6,7,9,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,7,9,10,13],[2,4,6,8,10,11],[2,4,6,9,12,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,5,8,10,12,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,11,13],[4,6,7,8,9,10]];
G[7525]:=Group([(1,11)(2,12)(4,9)]);
# Design 7526: autom. group order 2, simple, derived
B[7526]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,7,8,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,9,11,13],[2,5,7,8,9,10],[2,5,7,8,11,13],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,8,9,10,11,12],[4,5,6,7,10,12],[4,6,7,8,9,10]];
G[7526]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 7527: autom. group order 2, simple, derived
B[7527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,9,11],[1,3,6,8,10,13],[1,4,5,10,12,13],[1,4,7,8,11,13],[1,5,6,8,10,11],[1,5,8,9,12,13],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,5,6,9,11,13],[2,5,7,8,9,10],[2,5,7,8,11,13],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,7,8,9,10,12],[4,5,6,7,10,12],[4,6,8,9,10,11]];
G[7527]:=Group([(2,12)(3,13)(4,9)(6,8)]);
# Design 7528: autom. group order 2, simple
B[7528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,6,10,11,13],[2,4,7,8,10,12],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,8,11,12,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,9,12,13],[3,5,7,10,11,13],[3,7,8,9,11,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7528]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7529: autom. group order 2, simple, derived
B[7529]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,5,8,9,10,11],[3,4,5,8,10,12],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,5,7,10,11,13],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7529]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7530: autom. group order 2, simple, derived
B[7530]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,11,12],[1,3,6,9,11,13],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,8,11,12,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,5,7,10,11,13],[3,7,8,9,11,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7530]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7531: autom. group order 2, simple, derived
B[7531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,9,11],[1,3,6,10,11,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,5,7,10,11,12],[3,4,5,8,10,12],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,5,7,10,11,13],[3,7,8,9,11,12],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[7531]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7532: autom. group order 2, simple, derived
B[7532]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,7,8,10,11],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[2,3,6,8,10,11],[2,3,7,8,12,13],[2,4,6,9,10,12],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,7,9,11,13],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,6,9,11,12],[3,5,7,10,11,12],[3,8,9,10,12,13],[4,5,6,7,8,9],[4,6,7,10,11,13]];
G[7532]:=Group([(1,12)(2,11)(6,8)(7,9)]);
# Design 7533: autom. group order 2, simple, derived
B[7533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,7,10,13],[1,3,6,8,11,13],[1,4,5,10,11,13],[1,4,8,9,10,12],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,5,7,8,11,13],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,6,9,11,12],[3,5,7,10,11,12],[3,8,9,10,11,13],[4,5,6,7,8,9],[4,6,7,10,12,13]];
G[7533]:=Group([(1,11)(2,12)(6,8)(7,9)]);
# Design 7534: autom. group order 2, simple, derived
B[7534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,5,9,11,13],[1,4,7,8,9,10],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,10,11,13],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,9,10,11,12],[3,7,8,9,12,13],[4,5,6,8,9,13],[4,6,7,9,10,11]];
G[7534]:=Group([(1,11)(2,12)(6,8)]);
# Design 7535: autom. group order 2, simple, derived
B[7535]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,8,9,11],[1,3,6,10,12,13],[1,4,5,8,9,13],[1,4,7,9,10,11],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,10,11,13],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,9,10,11,12],[3,7,8,9,12,13],[4,5,6,9,11,13],[4,6,7,8,9,10]];
G[7535]:=Group([(1,11)(2,12)(6,8)]);
# Design 7536: autom. group order 2, simple
B[7536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,6,7,10,12],[2,4,6,8,10,13],[2,5,6,8,9,11],[2,5,6,11,12,13],[2,5,7,8,10,12],[3,4,5,6,9,13],[3,4,5,10,11,12],[3,4,8,9,12,13],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,7,8,9,11],[4,6,7,9,10,11]];
G[7536]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7537: autom. group order 2, simple, derived
B[7537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,11,12],[1,3,6,8,10,11],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,7,9,10,13],[2,3,8,11,12,13],[2,4,6,8,9,12],[2,4,6,8,10,13],[2,5,6,7,10,11],[2,5,6,11,12,13],[2,5,7,8,10,12],[3,4,5,6,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,8,9,11,13],[3,6,7,8,9,12],[4,5,7,8,9,11],[4,6,7,9,10,11]];
G[7537]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7538: autom. group order 2, simple, derived
B[7538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,8,11],[1,3,8,9,10,13],[1,4,5,6,12,13],[1,4,7,9,11,13],[1,5,6,8,10,11],[1,5,7,8,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,9,10],[2,5,6,7,11,13],[2,5,8,9,11,13],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,10,11,13],[3,5,8,9,11,12],[3,6,7,9,11,12],[4,5,7,8,10,12],[4,6,7,8,9,10]];
G[7538]:=Group([(1,11)(2,12)(4,9)(6,8)]);
# Design 7539: autom. group order 2, simple, derived
B[7539]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,12,13],[1,3,7,9,11,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,5,6,9,10,12],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,3,6,9,10,13],[2,4,6,8,10,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[3,4,5,7,8,9],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,8,10,11,13],[3,6,8,9,11,12],[4,5,6,7,9,13],[4,6,7,9,10,11]];
G[7539]:=Group([(2,9)(3,10)(4,12)]);
# Design 7540: autom. group order 2, simple, derived
B[7540]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,9,11],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,7,9,12],[2,4,6,8,10,13],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,5,8,9,10,11],[3,4,5,7,8,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,6,8,9,10,12],[4,5,8,10,11,12],[4,6,7,9,10,11]];
G[7540]:=Group([(2,12)(3,13)(4,9)]);
# Design 7541: autom. group order 2, simple, derived
B[7541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,9,11],[1,3,7,10,11,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,6,7,8,10],[1,5,6,9,12,13],[1,7,8,9,12,13],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,6,7,9,12],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,5,8,9,10,11],[3,4,5,7,8,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,6,8,9,10,12],[4,5,8,10,11,12],[4,6,7,9,10,11]];
G[7541]:=Group([(2,12)(3,13)(4,9)]);
# Design 7542: autom. group order 2, simple, derived
B[7542]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,7,9,12],[2,3,6,8,12,13],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,5,8,9,10,11],[3,4,5,8,10,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,6,10,11,12],[3,7,8,9,11,12],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[7542]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7543: autom. group order 2, simple, derived
B[7543]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,8,11,13],[1,3,7,9,10,13],[1,4,5,7,8,11],[1,4,6,9,12,13],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,7,10,11],[2,3,6,8,12,13],[2,4,6,8,10,12],[2,4,9,10,11,13],[2,5,6,7,9,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,11,13],[4,6,7,8,9,10]];
G[7543]:=Group([(1,12)(2,11)(4,9)]);
# Design 7544: autom. group order 2, simple, derived
B[7544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,8,11,13],[1,3,7,9,10,13],[1,4,5,7,8,12],[1,4,6,9,11,13],[1,5,6,7,10,11],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,6,8,12,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,7,8,9,11],[2,5,8,10,11,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,11,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,12,13],[4,6,7,8,9,10]];
G[7544]:=Group([(1,11)(2,12)(4,9)]);
# Design 7545: autom. group order 2, simple
B[7545]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,9,11,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,11,12],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,7,9,12],[2,3,6,8,12,13],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,5,8,11,12,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,7,8,9,11,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[7545]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7546: autom. group order 2, simple, derived
B[7546]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,12],[1,3,6,7,10,11],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,9,11,13],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,10],[2,5,6,8,10,12],[2,5,7,10,11,13],[2,5,8,9,11,13],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,8,10,12,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,7,11,12],[4,7,8,9,10,11]];
G[7546]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7547: autom. group order 2, simple, derived
B[7547]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,10,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,7,10,11],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,7,9,10,13],[2,4,6,8,9,12],[2,4,6,8,10,13],[2,5,6,7,10,12],[2,5,7,8,11,12],[2,5,8,10,11,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,7,8,9,10,11]];
G[7547]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7548: autom. group order 2, simple, derived
B[7548]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,7,10,11,13],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,8,9,10,12],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[3,4,5,6,10,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,7,8,11,12],[3,6,7,9,11,12],[4,5,8,10,11,12],[4,6,7,8,9,10]];
G[7548]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7549: autom. group order 2, simple
B[7549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,10,12,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,8,11,12],[1,5,6,7,11,13],[1,5,7,8,9,11],[1,6,8,9,10,12],[2,3,6,8,9,11],[2,3,7,8,12,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,5,8,9,12,13],[3,4,5,6,7,12],[3,4,5,9,11,13],[3,4,8,10,11,13],[3,5,8,10,11,12],[3,6,7,9,10,11],[4,5,7,9,10,12],[4,6,7,8,9,13]];
G[7549]:=Group([(2,7)(3,11)(4,13)(8,10)]);
# Design 7550: autom. group order 2, simple
B[7550]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,12,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,5,6,7,11,13],[1,5,7,8,9,11],[1,6,8,9,10,12],[2,3,6,9,10,11],[2,3,7,10,12,13],[2,4,6,8,9,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,5,8,9,12,13],[3,4,5,6,7,12],[3,4,5,9,11,13],[3,4,8,10,11,13],[3,5,8,10,11,12],[3,6,7,8,9,11],[4,5,7,9,10,12],[4,6,7,9,10,13]];
G[7550]:=Group([(2,7)(3,11)(4,13)(8,10)]);
# Design 7551: autom. group order 2, simple
B[7551]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,12,13],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,5,6,7,11,13],[1,5,7,8,9,11],[1,6,8,9,10,12],[2,3,6,8,9,11],[2,3,7,10,12,13],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,5,8,9,12,13],[3,4,5,6,7,12],[3,4,5,9,11,13],[3,4,8,10,11,13],[3,5,8,10,11,12],[3,6,7,9,10,11],[4,5,7,9,10,12],[4,6,7,8,9,13]];
G[7551]:=Group([(2,7)(3,11)(4,13)(8,10)]);
# Design 7552: autom. group order 2, simple, derived
B[7552]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,9,11,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,5,6,7,12,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,5,6,8,12],[3,4,5,7,10,11],[3,4,10,11,12,13],[3,5,7,9,11,12],[3,6,8,9,10,12],[4,5,7,9,10,13],[4,6,7,8,9,11]];
G[7552]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7553: autom. group order 2, simple
B[7553]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,9,11,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,5,6,8,12],[3,4,5,7,10,11],[3,4,9,10,11,12],[3,5,7,11,12,13],[3,6,8,9,10,12],[4,5,7,9,10,13],[4,6,7,8,9,11]];
G[7553]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7554: autom. group order 2, simple, derived
B[7554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,11,13],[1,3,7,8,12,13],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,6,7,9,12],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,6,11,12,13],[2,5,7,8,12,13],[3,4,5,6,8,13],[3,4,5,7,10,11],[3,4,10,11,12,13],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[7554]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7555: autom. group order 2, simple
B[7555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,11,13],[1,3,7,8,12,13],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,6,7,9,12],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,6,11,12,13],[2,5,7,8,9,13],[3,4,5,6,8,13],[3,4,5,7,10,11],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,6,8,9,10,12],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[7555]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7556: autom. group order 2, simple, derived
B[7556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,9,11,13],[1,3,7,8,12,13],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,6,7,9,12],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,6,11,12,13],[2,5,7,8,9,13],[3,4,5,6,8,13],[3,4,5,7,10,11],[3,4,9,10,11,13],[3,5,7,9,11,12],[3,6,8,9,10,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7556]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7557: autom. group order 2, simple
B[7557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,6,7,12,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,5,6,8,12],[3,4,5,7,10,11],[3,4,9,10,11,12],[3,5,7,11,12,13],[3,6,8,9,10,12],[4,5,7,9,10,13],[4,6,7,8,9,11]];
G[7557]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7558: autom. group order 2, simple, derived
B[7558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,8,9,11,12],[2,4,6,7,12,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,13],[3,4,5,6,8,13],[3,4,5,7,10,11],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,6,8,9,10,12],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[7558]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7559: autom. group order 2, simple
B[7559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,5,6,8,12],[3,4,5,7,10,11],[3,4,9,10,11,13],[3,5,7,9,11,12],[3,6,8,9,10,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7559]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7560: autom. group order 2, simple
B[7560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,13],[3,4,5,6,8,12],[3,4,5,7,10,11],[3,4,9,10,11,13],[3,5,7,9,11,12],[3,6,8,9,10,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7560]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7561: autom. group order 2, simple
B[7561]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,12],[3,4,5,6,8,12],[3,4,5,7,10,11],[3,4,9,10,11,12],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7561]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7562: autom. group order 2, simple
B[7562]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,12],[1,4,6,9,10,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,8,11,12,13],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,6,9,11,13],[2,5,7,8,9,13],[3,4,5,6,8,13],[3,4,5,7,10,11],[3,4,9,10,11,13],[3,5,7,9,11,12],[3,6,8,9,10,12],[4,5,7,10,12,13],[4,6,7,8,9,11]];
G[7562]:=Group([(1,6)(2,8)(3,11)(4,10)(5,7)]);
# Design 7563: autom. group order 2, simple, derived
B[7563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,10,11,12],[1,3,7,8,10,13],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,6,7,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,6,10,11,13],[2,5,7,8,10,12],[3,4,5,6,8,12],[3,4,5,7,9,11],[3,4,9,10,11,12],[3,5,7,11,12,13],[3,6,8,9,12,13],[4,5,7,9,10,13],[4,6,7,8,10,11]];
G[7563]:=Group([(1,6)(2,8)(3,11)(4,9)(5,7)]);
# Design 7564: autom. group order 2, simple
B[7564]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,11,12,13],[1,2,7,9,11,12],[1,3,6,10,11,13],[1,3,7,8,10,12],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,5,6,7,12,13],[1,5,8,9,10,13],[1,6,7,8,9,11],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,9,11],[2,5,6,10,11,12],[2,5,7,8,10,12],[3,4,5,6,8,12],[3,4,5,7,9,11],[3,4,9,10,11,12],[3,5,7,11,12,13],[3,6,8,9,12,13],[4,5,7,9,10,13],[4,6,7,8,10,11]];
G[7564]:=Group([(1,6)(2,8)(3,11)(4,9)(5,7)]);
# Design 7565: autom. group order 2, simple, derived
B[7565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,10,11],[1,3,8,11,12,13],[1,4,5,7,12,13],[1,4,6,7,10,11],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,11,12],[2,5,6,10,11,13],[2,5,7,8,10,12],[3,4,5,6,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,7,8,9,11],[3,6,7,9,11,12],[4,5,8,9,11,13],[4,6,7,8,9,10]];
G[7565]:=Group([(2,9)(3,10)(4,12)(6,8)(7,13)]);
# Design 7566: autom. group order 2, simple, derived
B[7566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,8,11,13],[1,3,8,9,10,11],[1,4,5,7,12,13],[1,4,6,7,11,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,9,11],[2,5,6,10,11,13],[2,5,7,8,9,13],[3,4,5,6,10,12],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,7,8,11,12],[3,6,7,9,11,12],[4,5,8,10,11,12],[4,6,7,8,9,10]];
G[7566]:=Group([(2,12)(3,13)(4,9)(6,8)(7,10)]);
# Design 7567: autom. group order 2, simple, derived
B[7567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,10,11],[1,3,8,10,11,13],[1,4,5,7,8,12],[1,4,6,9,11,13],[1,5,6,8,12,13],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,7,8,9,11],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,7,10,11,13],[4,6,7,8,9,10]];
G[7567]:=Group([(1,11)(2,12)(4,9)]);
# Design 7568: autom. group order 2, simple, derived
B[7568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,10,11],[1,3,8,10,12,13],[1,4,5,7,8,12],[1,4,6,9,11,13],[1,5,6,8,11,13],[1,5,7,9,10,13],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,6,8,10,11],[2,4,9,10,12,13],[2,5,6,7,10,12],[2,5,6,8,12,13],[2,5,7,8,9,11],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,7,10,11,13],[4,6,7,8,9,10]];
G[7568]:=Group([(1,11)(2,12)(4,9)]);
# Design 7569: autom. group order 2, simple, derived
B[7569]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,8,11,13],[1,3,7,8,9,13],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,6,8,11,12],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,9,10,12,13],[2,4,6,8,9,12],[2,4,7,8,10,11],[2,5,6,7,10,11],[2,5,6,8,9,13],[2,5,7,8,12,13],[3,4,5,7,9,11],[3,4,5,11,12,13],[3,4,6,8,10,12],[3,5,7,8,10,12],[3,6,7,9,11,12],[4,5,6,7,9,13],[4,8,9,10,11,13]];
G[7569]:=Group([(1,11)(3,10)(4,7)(5,6)(9,13)]);
# Design 7570: autom. group order 2, simple, derived
B[7570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,9,11],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,7,9,10,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,3,8,9,10,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,5,7,8,11,12],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,7,8,9,10,11]];
G[7570]:=Group([(2,9)(3,10)(4,12)(6,7)(8,13)]);
# Design 7571: autom. group order 2, simple, derived
B[7571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,5,7,8,11],[1,4,9,10,12,13],[1,5,6,7,10,12],[1,5,6,8,12,13],[1,6,8,9,10,11],[2,3,6,7,10,11],[2,3,8,10,12,13],[2,4,6,8,10,12],[2,4,6,9,11,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,5,7,9,10,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,7,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,7,10,11,13],[4,6,7,8,9,10]];
G[7571]:=Group([(1,12)(2,11)(4,9)]);
# Design 7572: autom. group order 2, simple, derived
B[7572]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,5,7,8,12],[1,4,9,10,11,13],[1,5,6,7,10,11],[1,5,6,8,12,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,10,12,13],[2,4,6,8,10,11],[2,4,6,9,12,13],[2,5,6,8,11,13],[2,5,7,8,9,11],[2,5,7,9,10,13],[3,4,5,8,9,13],[3,4,5,10,11,12],[3,4,6,7,11,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,7,10,12,13],[4,6,7,8,9,10]];
G[7572]:=Group([(1,11)(2,12)(4,9)]);
# Design 7573: autom. group order 2, simple
B[7573]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,7,10],[1,3,5,7,9,12],[1,3,5,11,12,13],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,8,11,12],[2,3,8,10,12,13],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,6,8,9,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[3,4,5,9,10,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,8,13],[3,6,7,9,10,12],[4,5,6,9,11,12],[4,5,7,8,10,12]];
G[7573]:=Group([(1,7)(2,8)(5,9)(6,11)(10,13)]);
# Design 7574: autom. group order 2, simple
B[7574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,7,9],[1,3,5,8,10,13],[1,3,5,8,11,12],[1,4,5,11,12,13],[1,4,7,9,11,13],[1,6,7,8,10,11],[1,6,7,10,12,13],[1,6,8,9,12,13],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,6,8,11,12],[2,5,7,8,10,12],[2,5,7,10,11,13],[2,5,8,9,11,13],[3,4,5,6,7,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,9,10,12],[3,6,7,8,9,11],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[7574]:=Group([(1,2)(3,4)(5,6)(11,12)]);
# Design 7575: autom. group order 2, simple
B[7575]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,7,9],[1,3,5,8,10,13],[1,3,5,8,11,12],[1,4,5,11,12,13],[1,4,7,9,11,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,6,8,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[3,4,5,6,7,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,9,10,12],[3,6,7,8,9,11],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[7575]:=Group([(1,2)(3,4)(5,6)(11,12)]);
# Design 7576: autom. group order 2, simple
B[7576]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,7,9],[1,3,5,8,10,13],[1,3,5,8,11,12],[1,4,5,11,12,13],[1,4,7,9,12,13],[1,6,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,11,13],[2,3,6,11,12,13],[2,3,7,9,11,13],[2,4,6,8,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,10,12,13],[2,5,8,9,12,13],[3,4,5,6,7,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,5,6,9,10,12],[3,6,7,8,9,12],[4,5,6,9,10,11],[4,5,7,8,9,11]];
G[7576]:=Group([(1,2)(3,4)(5,6)(11,12)]);
# Design 7577: autom. group order 2, simple
B[7577]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,5,6,10,11],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,6,7,9,10,12],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[7577]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7578: autom. group order 2, simple
B[7578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,9,11,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[3,4,5,6,10,11],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,6,7,9,10,13],[4,5,6,7,8,9],[4,5,9,10,11,12]];
G[7578]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7579: autom. group order 2, simple
B[7579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,9,11,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,5,6,10,11],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,6,7,9,10,13],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[7579]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7580: autom. group order 2, simple
B[7580]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,13],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,9,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,5,6,10,11],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,6,7,9,10,12],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[7580]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7581: autom. group order 2, simple, derived
B[7581]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,9,10,13],[3,4,5,6,10,11],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,6,7,9,10,12],[4,5,6,7,8,9],[4,5,10,11,12,13]];
G[7581]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7582: autom. group order 2, simple
B[7582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,9,11,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,9,10,13],[3,4,5,6,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,6,7,9,10,13],[4,5,6,7,8,9],[4,5,10,11,12,13]];
G[7582]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7583: autom. group order 2, simple, derived
B[7583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,13],[1,3,5,8,11,12],[1,4,5,7,12,13],[1,4,8,9,11,12],[1,6,7,8,10,11],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,6,7,10,12],[2,4,6,8,11,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,9,10,13],[3,4,5,6,10,11],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,6,7,9,10,12],[4,5,6,7,8,9],[4,5,10,11,12,13]];
G[7583]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7584: autom. group order 2, simple, derived
B[7584]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,11,12,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[3,4,5,6,10,11],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,6,7,10,12,13],[4,5,6,7,8,9],[4,5,9,10,11,12]];
G[7584]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7585: autom. group order 2, simple
B[7585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,9,13],[1,3,5,7,10,12],[1,3,5,8,11,13],[1,4,5,7,12,13],[1,4,8,11,12,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,6,11,12,13],[2,3,7,8,9,13],[2,4,6,7,10,13],[2,4,6,8,11,12],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,5,8,10,12,13],[3,4,5,6,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,8,9,12],[3,6,7,10,12,13],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[7585]:=Group([(1,6)(2,5)(3,4)(7,11)(8,10)]);
# Design 7586: autom. group order 2, simple, derived
B[7586]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,12,13],[1,3,5,7,9,12],[1,3,5,8,11,13],[1,4,5,7,10,13],[1,4,8,10,11,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,10,11,13],[2,3,7,8,10,12],[2,4,6,7,9,13],[2,4,6,8,11,12],[2,5,7,8,9,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[3,4,5,6,9,11],[3,4,7,11,12,13],[3,4,8,9,12,13],[3,5,6,8,10,12],[3,6,7,9,10,13],[4,5,6,7,8,10],[4,5,9,10,11,12]];
G[7586]:=Group([(1,6)(2,5)(3,4)(7,11)(8,9)]);
# Design 7587: autom. group order 2, simple, derived
B[7587]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,10,12],[1,3,5,7,9,12],[1,3,5,8,11,13],[1,4,5,7,10,13],[1,4,8,10,11,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,10,11,13],[2,3,7,8,10,12],[2,4,6,7,9,13],[2,4,6,8,11,12],[2,5,7,8,9,11],[2,5,7,11,12,13],[2,5,8,9,10,13],[3,4,5,6,9,11],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,6,8,12,13],[3,6,7,9,10,13],[4,5,6,7,8,10],[4,5,9,10,11,12]];
G[7587]:=Group([(1,6)(2,5)(3,4)(7,11)(8,9)]);
# Design 7588: autom. group order 2, simple, derived
B[7588]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,6,11,13],[1,3,5,7,12,13],[1,3,5,8,11,12],[1,4,6,7,9,11],[1,4,8,10,12,13],[1,5,6,7,8,10],[1,6,8,9,10,13],[1,7,9,11,12,13],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,5,7,9,12],[2,4,6,8,12,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,5,9,10,13],[3,4,6,11,12,13],[3,4,7,8,10,11],[3,5,6,9,10,12],[3,6,7,8,9,12],[4,5,6,8,9,11],[4,5,7,10,11,13]];
G[7588]:=Group([(1,10)(3,11)(4,12)(5,7)]);
# Design 7589: autom. group order 2, simple, derived
B[7589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,7,10],[1,3,5,8,9,12],[1,3,5,11,12,13],[1,4,6,7,12,13],[1,4,7,8,9,11],[1,5,7,10,11,13],[1,6,8,9,10,13],[1,6,8,10,11,12],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,5,7,8,9,11],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,5,6,8,10],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,6,7,8,11,12],[4,5,6,9,11,12],[4,5,8,9,10,13]];
G[7589]:=Group([(1,5)(2,6)(7,10)(11,13)]);
# Design 7590: autom. group order 2, simple, derived
B[7590]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,7,9],[1,3,5,8,10,12],[1,3,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,10,11],[1,5,7,9,11,13],[1,6,7,8,12,13],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,7,8,10,11],[2,5,8,9,11,12],[2,6,7,9,10,12],[3,4,5,6,8,9],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,7,10,13],[3,6,8,9,11,12],[4,5,6,7,11,12],[4,5,8,9,10,13]];
G[7590]:=Group([(1,5)(2,6)(7,9)(11,13)]);
# Design 7591: autom. group order 2, simple, derived
B[7591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,7,10],[1,3,5,8,9,12],[1,3,5,11,12,13],[1,4,6,10,11,12],[1,4,7,8,9,11],[1,5,7,10,11,13],[1,6,7,8,12,13],[1,6,8,9,10,13],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,7,8,9,11],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,6,8,10],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,6,7,8,11,12],[4,5,6,9,11,12],[4,5,8,9,10,13]];
G[7591]:=Group([(1,5)(2,6)(7,10)(11,13)]);
# Design 7592: autom. group order 2, simple, derived
B[7592]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,7,10],[1,3,5,8,9,12],[1,3,5,11,12,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[1,6,7,8,12,13],[2,3,6,9,11,13],[2,3,7,8,11,12],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,5,8,9,10,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,6,8,10],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,6,8,10,12,13],[4,5,6,9,11,12],[4,5,7,8,9,11]];
G[7592]:=Group([(1,5)(2,6)(7,10)(11,13)]);
# Design 7593: autom. group order 2, simple, derived
B[7593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,12,13],[1,3,5,6,8,9],[1,3,5,10,11,12],[1,4,6,7,10,12],[1,4,6,9,11,13],[1,5,7,8,10,13],[1,6,8,10,11,13],[1,7,8,9,11,12],[2,3,6,8,10,12],[2,3,7,8,11,13],[2,4,5,10,11,13],[2,4,8,9,10,12],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,7,9,10,11],[3,4,5,7,9,11],[3,4,6,7,10,13],[3,4,8,11,12,13],[3,5,9,10,12,13],[3,6,7,9,12,13],[4,5,6,8,11,12],[4,5,7,8,9,10]];
G[7593]:=Group([(1,13)(2,12)(4,9)(5,7)(8,10)]);
# Design 7594: autom. group order 2, simple
B[7594]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,8,10],[1,3,5,6,7,12],[1,3,5,9,11,13],[1,4,6,8,10,13],[1,4,7,11,12,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,8,12,13],[2,3,6,10,11,12],[2,4,5,8,9,11],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,7,11,12,13],[2,6,7,8,11,13],[3,4,5,10,12,13],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,5,7,8,9,13],[3,7,8,9,10,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[7594]:=Group([(1,8)(2,12)(3,9)(4,6)(7,11)]);
# Design 7595: autom. group order 2, simple
B[7595]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,12,13],[1,3,5,7,9,12],[1,3,5,8,10,13],[1,4,6,7,8,13],[1,4,6,10,11,13],[1,5,6,8,9,11],[1,6,7,10,11,12],[1,8,9,11,12,13],[2,3,6,7,11,13],[2,3,8,11,12,13],[2,4,5,8,10,11],[2,4,6,9,12,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,7,8,9,10,13],[3,4,5,9,11,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,10,12,13],[3,6,7,8,9,10],[4,5,7,8,11,12],[4,5,7,9,10,13]];
G[7595]:=Group([(1,5)(2,13)(4,10)(6,8)(7,12)]);
# Design 7596: autom. group order 2, simple
B[7596]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,13],[1,3,5,9,11,12],[1,4,6,7,10,13],[1,4,6,8,11,12],[1,5,7,8,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,3,6,8,9,13],[2,4,5,8,9,10],[2,4,7,9,11,13],[2,5,6,7,8,12],[2,5,6,10,11,13],[2,8,10,11,12,13],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,7,9,13],[3,7,8,9,10,12],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[7596]:=Group([(1,11)(3,10)(4,13)(5,6)(7,12)]);
# Design 7597: autom. group order 2, simple, derived
B[7597]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,10,12],[1,3,5,7,9,13],[1,3,5,8,10,11],[1,4,6,7,11,12],[1,4,6,8,9,11],[1,5,8,11,12,13],[1,6,7,9,10,13],[1,6,8,10,12,13],[2,3,6,8,10,12],[2,3,6,11,12,13],[2,4,5,10,11,13],[2,4,7,8,11,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,6,9,12],[3,4,7,10,12,13],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,7,8,9,11,12],[4,5,6,7,8,10],[4,5,9,10,11,12]];
G[7597]:=Group([(1,13)(3,11)(6,10)(7,8)(9,12)]);
# Design 7598: autom. group order 2, simple
B[7598]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,12,13],[1,3,5,7,8,9],[1,3,5,10,12,13],[1,4,6,9,11,12],[1,4,8,10,11,13],[1,5,6,7,10,11],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,7,11,12],[2,3,8,10,11,13],[2,4,5,8,9,11],[2,4,6,7,10,13],[2,5,6,8,11,12],[2,5,6,9,10,13],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,5,6,8,9,13],[3,7,9,11,12,13],[4,5,7,8,10,12],[4,5,7,9,11,13]];
G[7598]:=Group([(1,10)(2,7)(3,6)(5,9)(8,13)]);
# Design 7599: autom. group order 2, simple, derived
B[7599]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,12,13],[1,3,5,6,8,9],[1,3,5,10,11,12],[1,4,6,9,10,13],[1,4,8,10,11,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,6,8,11,12],[2,3,7,8,10,13],[2,4,6,7,10,11],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,6,10,11,13],[2,5,7,9,10,12],[3,4,5,7,9,10],[3,4,5,11,12,13],[3,4,6,7,12,13],[3,6,7,9,11,13],[3,8,9,10,12,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[7599]:=Group([(1,13)(2,12)(5,7)(8,11)]);
# Design 7600: autom. group order 2, simple
B[7600]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,6,9,12],[1,3,5,7,10,13],[1,3,6,8,9,13],[1,4,5,7,11,12],[1,4,8,10,11,13],[1,5,6,8,10,11],[1,6,7,11,12,13],[1,7,8,9,10,12],[2,3,5,8,11,13],[2,3,7,10,11,12],[2,4,5,8,10,12],[2,4,6,7,10,13],[2,5,7,9,11,13],[2,6,7,8,9,11],[2,6,8,10,12,13],[3,4,6,7,9,10],[3,4,6,11,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,9,10,12,13],[4,5,6,9,10,11],[4,5,7,8,9,13]];
G[7600]:=Group([(1,12)(2,11)(5,13)(7,9)]);
# Design 7601: autom. group order 2, simple
B[7601]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,9,13],[1,3,8,10,12,13],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,9,11,13],[2,3,5,8,11,13],[2,3,7,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,13],[2,5,6,7,8,10],[2,5,6,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,10,11,13],[4,5,7,9,10,11],[4,5,8,9,12,13]];
G[7601]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7602: autom. group order 2, simple
B[7602]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,9,13],[1,3,8,10,12,13],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,5,6,7,8,10],[1,6,8,9,11,12],[1,7,8,9,11,13],[2,3,5,8,11,13],[2,3,7,9,12,13],[2,4,6,9,11,13],[2,4,7,8,10,13],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,10,11,13],[4,5,7,9,10,11],[4,5,8,9,12,13]];
G[7602]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7603: autom. group order 2, simple, derived
B[7603]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,7,9,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,10,11,13],[2,3,5,8,10,13],[2,3,7,9,11,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,10,12,13],[4,5,7,9,10,11],[4,5,8,9,11,13]];
G[7603]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7604: autom. group order 2, simple, derived
B[7604]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,11,13],[1,3,8,9,12,13],[1,4,5,10,12,13],[1,4,6,7,9,13],[1,5,6,7,8,10],[1,6,8,9,11,12],[1,7,8,10,11,13],[2,3,5,8,10,13],[2,3,7,9,11,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,10,12,13],[4,5,7,9,10,11],[4,5,8,9,11,13]];
G[7604]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7605: autom. group order 2, simple, derived
B[7605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,9,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,7,9,11,13],[1,5,6,7,8,9],[1,6,7,10,12,13],[1,6,8,10,11,12],[2,3,5,10,12,13],[2,3,6,7,11,13],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,7,8,9,12,13],[4,5,6,10,11,13],[4,5,7,9,10,11]];
G[7605]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7606: autom. group order 2, simple, derived
B[7606]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,9,13],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,7,9,12,13],[1,5,6,7,8,9],[1,6,7,10,11,13],[1,6,8,10,11,12],[2,3,5,10,11,13],[2,3,6,7,12,13],[2,4,6,9,11,13],[2,4,7,8,10,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,7,8,9,11,13],[4,5,6,10,12,13],[4,5,7,9,10,11]];
G[7606]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7607: autom. group order 2, simple, derived
B[7607]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,9,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,7,9,11,13],[1,5,6,7,8,10],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,5,10,12,13],[2,3,6,7,11,13],[2,4,6,9,12,13],[2,4,7,8,10,13],[2,5,6,7,8,9],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,7,8,9,12,13],[4,5,6,10,11,13],[4,5,7,9,10,11]];
G[7607]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7608: autom. group order 2, simple, derived
B[7608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,9,13],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,7,9,12,13],[1,5,6,7,8,10],[1,6,7,10,11,13],[1,6,8,9,11,12],[2,3,5,10,11,13],[2,3,6,7,12,13],[2,4,6,9,11,13],[2,4,7,8,10,13],[2,5,6,7,8,9],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,7,8,9,11,13],[4,5,6,10,12,13],[4,5,7,9,10,11]];
G[7608]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7609: autom. group order 2, simple
B[7609]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,12,13],[1,3,8,9,11,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,9],[1,6,7,10,11,13],[1,6,8,10,11,12],[2,3,5,10,11,13],[2,3,6,7,9,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,7,8,10,12,13],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[7609]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7610: autom. group order 2, simple
B[7610]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,6,12,13],[1,3,8,9,11,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,10],[1,6,7,10,11,13],[1,6,8,9,11,12],[2,3,5,10,11,13],[2,3,6,7,9,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,7,8,9],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,7,8,10,12,13],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[7610]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7611: autom. group order 2, simple
B[7611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,12],[1,3,6,8,9,13],[1,4,5,6,10,13],[1,4,7,10,11,13],[1,5,6,7,9,11],[1,6,8,11,12,13],[1,7,8,9,10,12],[2,3,5,11,12,13],[2,3,6,7,8,10],[2,4,6,8,9,11],[2,4,6,10,11,12],[2,5,7,8,11,13],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,7,9,11,12],[3,4,8,10,12,13],[3,5,6,9,10,12],[3,6,7,10,11,13],[4,5,6,7,8,12],[4,5,8,9,10,11]];
G[7611]:=Group([(1,4)(2,13)(3,10)(8,11)(9,12)]);
# Design 7612: autom. group order 2, simple, derived
B[7612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,11,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,10,12,13],[2,3,5,10,12,13],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,9,12,13],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[7612]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7613: autom. group order 2, simple, derived
B[7613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,8,9,13],[1,3,6,10,12,13],[1,4,5,6,11,13],[1,4,7,9,12,13],[1,5,6,7,8,9],[1,6,8,10,11,12],[1,7,8,10,11,13],[2,3,5,10,11,13],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,6,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,9,11,13],[4,5,7,9,10,11],[4,5,8,10,12,13]];
G[7613]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7614: autom. group order 2, simple, derived
B[7614]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,8,9,13],[1,3,6,10,11,13],[1,4,5,6,12,13],[1,4,7,9,11,13],[1,5,6,7,8,10],[1,6,8,9,11,12],[1,7,8,10,12,13],[2,3,5,10,12,13],[2,3,7,8,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,5,6,9,11,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,9,12,13],[4,5,7,9,10,11],[4,5,8,10,11,13]];
G[7614]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7615: autom. group order 2, simple, derived
B[7615]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,12],[1,3,5,8,9,13],[1,3,6,10,12,13],[1,4,5,6,11,13],[1,4,7,9,12,13],[1,5,6,7,8,10],[1,6,8,9,11,12],[1,7,8,10,11,13],[2,3,5,10,11,13],[2,3,7,8,12,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,6,9,12,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,4,6,8,9,10],[3,5,7,9,10,12],[3,6,7,9,11,13],[4,5,7,9,10,11],[4,5,8,10,12,13]];
G[7615]:=Group([(1,2)(3,4)(5,7)(6,8)(9,10)(11,12)]);
# Design 7616: autom. group order 2, simple
B[7616]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,10,12],[1,3,5,10,11,13],[1,3,6,7,8,12],[1,4,5,6,8,11],[1,4,8,10,12,13],[1,5,7,9,11,12],[1,6,7,9,10,13],[1,6,8,9,11,13],[2,3,5,8,9,13],[2,3,6,10,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,7,8,11,12,13],[3,4,5,7,9,13],[3,4,6,11,12,13],[3,4,7,9,11,12],[3,5,8,10,11,12],[3,6,7,8,9,10],[4,5,6,9,10,12],[4,5,7,8,10,13]];
G[7616]:=Group([(1,6)(2,10)(3,7)(4,9)(5,13)]);
# Design 7617: autom. group order 2, simple
B[7617]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,12,13],[1,3,5,9,11,13],[1,3,6,7,12,13],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,6,7,10,11],[1,6,7,8,9,11],[1,8,10,11,12,13],[2,3,5,6,8,10],[2,3,8,11,12,13],[2,4,6,9,11,13],[2,4,7,10,11,12],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,10,13],[3,4,5,7,11,12],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,5,8,9,10,12],[3,6,7,9,10,12],[4,5,6,8,11,12],[4,5,7,9,10,13]];
G[7617]:=Group([(1,9)(2,10)(4,12)(6,8)]);
# Design 7618: autom. group order 2, simple, derived
B[7618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,5,6,8,11,12],[1,6,7,9,11,13],[1,7,8,10,11,12],[2,3,5,6,11,12],[2,3,7,8,9,13],[2,4,6,8,9,11],[2,4,10,11,12,13],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,7,12,13],[3,4,8,11,12,13],[3,5,7,9,10,12],[3,6,8,9,10,12],[4,5,6,9,10,13],[4,5,7,8,9,11]];
G[7618]:=Group([(1,9)(2,10)(4,12)(6,7)]);
# Design 7619: autom. group order 2, simple, derived
B[7619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,12,13],[1,3,5,9,11,13],[1,3,6,8,10,13],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,5,6,8,11,12],[1,6,7,8,9,11],[1,7,10,11,12,13],[2,3,5,6,11,12],[2,3,7,8,9,13],[2,4,6,9,11,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,12,13],[2,6,7,10,11,13],[3,4,5,7,10,11],[3,4,6,7,12,13],[3,4,8,11,12,13],[3,5,7,9,10,12],[3,6,8,9,10,12],[4,5,6,9,10,13],[4,5,7,8,9,11]];
G[7619]:=Group([(1,9)(2,10)(4,12)(6,7)]);