B:=[];
G:=[];
# Design 1: autom. group order 3, 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],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,5,7,9,11,12],[3,4,6,9,10,12],[3,4,7,8,11,13],[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([(2,10,13)(3,11,12)(4,7,9)(5,6,8)]);
# Design 2: autom. group order 3, simple
B[2]:=[[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],[1,4,8,10,11,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[1,6,7,9,11,12],[2,3,8,11,12,13],[2,4,6,7,10,13],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,8,9,11],[2,5,7,10,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,6,8,11,12]];
G[2]:=Group([(1,7,13)(2,4,11)(5,9,12)(6,10,8)]);
# Design 3: autom. group order 3, simple
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],[1,2,6,7,8,9],[1,3,6,10,11,12],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,8,10,11,13],[1,5,7,9,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,8,9,12,13],[2,4,6,9,11,13],[2,4,6,10,12,13],[2,4,7,8,11,12],[2,5,6,7,10,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,6,7,8,11],[3,4,7,9,10,12],[3,4,7,9,10,13],[3,5,6,8,12,13],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,6,8,9,12]];
G[3]:=Group([(1,3,10)(2,9,8)(5,7,13)(6,12,11)]);
# Design 4: autom. group order 3, 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],[1,3,8,9,10,12],[1,4,5,8,11,12],[1,4,5,9,10,13],[1,4,6,9,11,13],[1,5,7,10,12,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,6,8,10,12],[2,4,6,10,12,13],[2,4,7,8,9,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,5,7,9,10,11],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,6,8,11,13],[4,5,8,9,11,12]];
G[4]:=Group([(1,7,13)(2,4,11)(5,10,12)(6,8,9)]);
# Design 5: autom. group order 3, 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],[1,3,8,9,10,12],[1,4,5,8,12,13],[1,4,5,9,10,11],[1,4,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,6,9,11,12],[2,4,7,8,10,13],[2,5,6,9,10,11],[2,5,7,8,9,12],[2,5,7,9,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,6,8,11,13],[4,5,8,10,11,12]];
G[5]:=Group([(1,4,9)(2,7,8)(5,11,10)(6,13,12)]);
# Design 6: autom. group order 3, 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],[1,3,6,8,9,12],[1,4,5,9,10,11],[1,4,6,10,12,13],[1,4,7,9,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,7,8,11,13],[3,5,6,8,10,11],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,8,11,12]];
G[6]:=Group([(1,7,11)(2,4,13)(5,8,12)(6,9,10)]);
# Design 7: autom. group order 3, 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],[1,2,6,7,8,11],[1,3,6,8,9,12],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,4,7,8,10,11],[1,5,7,9,11,12],[1,5,8,9,10,13],[1,6,7,10,11,13],[2,3,10,11,12,13],[2,4,5,9,10,11],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,9,10,11],[3,5,7,8,10,12],[4,5,6,8,11,12]];
G[7]:=Group([(1,7,11)(2,4,13)(5,9,12)(6,8,10)]);
# Design 8: autom. group order 3, simple, derived
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],[1,2,6,7,8,11],[1,3,6,8,9,12],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,4,7,9,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,11,12],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,7,8,11,13],[3,5,6,8,10,11],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,8,11,12]];
G[8]:=Group([(1,7,11)(2,4,13)(5,8,12)(6,9,10)]);
# Design 9: autom. group order 3, 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],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,9,10,12],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,13],[1,6,7,10,11,12],[2,3,8,9,10,11],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,6,7,9,11],[3,4,7,8,10,13],[3,4,7,8,12,13],[3,5,6,8,10,12],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[9]:=Group([(1,7,10)(2,4,8)(5,13,9)(6,12,11)]);
# Design 10: autom. group order 3, 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],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,5,7,10,12,13],[1,6,7,9,11,12],[2,3,8,11,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,8,9,13],[2,6,7,10,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,7,10,11,13],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,11,12]];
G[10]:=Group([(1,7,13)(2,4,11)(5,10,12)(6,9,8)]);
# Design 11: autom. group order 3, 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],[1,2,6,7,8,11],[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],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,8,11,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,7,10,11,13],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,8,11,12]];
G[11]:=Group([(1,7,13)(2,4,11)(5,10,12)(6,9,8)]);
# Design 12: autom. group order 3, simple, derived
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],[1,2,6,7,8,11],[1,3,6,9,12,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,8,10,11,13],[1,5,7,8,9,13],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,8,9,10,11],[2,4,5,9,10,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,7,8,12,13],[3,5,6,8,10,13],[3,5,6,10,11,12],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[12]:=Group([(1,7,10)(2,4,8)(5,12,9)(6,13,11)]);
# Design 13: autom. group order 3, 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],[1,2,6,7,8,11],[1,3,6,9,10,12],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,7,9,11,12],[2,3,8,11,12,13],[2,4,5,9,11,12],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,9,10,11],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,8,12],[3,4,7,9,10,11],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,6,8,11,12]];
G[13]:=Group([(1,7,13)(2,4,11)(5,9,12)(6,10,8)]);
# Design 14: autom. group order 3, simple, derived
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],[1,2,6,7,8,11],[1,3,6,8,9,12],[1,4,5,9,10,11],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,9,12,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,7,9,11,12],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,9,10,13],[3,5,7,8,10,12],[4,5,6,8,11,12]];
G[14]:=Group([(1,7,13)(2,4,11)(5,9,12)(6,8,10)]);
# Design 15: autom. group order 3, 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],[1,2,6,7,8,11],[1,3,6,8,9,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,7,8,12,13],[1,5,7,9,10,11],[1,6,7,10,11,12],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,4,7,9,12,13],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,7,8,11,13],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,9,10,12],[4,5,6,8,11,12]];
G[15]:=Group([(1,7,13)(2,4,11)(5,8,12)(6,9,10)]);
# Design 16: autom. group order 3, simple, derived
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],[1,2,6,7,8,11],[1,3,6,8,9,12],[1,4,5,8,10,13],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,9,12,13],[1,5,7,10,11,12],[1,6,7,9,10,11],[2,3,10,11,12,13],[2,4,5,9,11,12],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,7,8,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,6,9,10,13],[3,5,7,8,10,12],[4,5,6,8,11,12]];
G[16]:=Group([(1,7,13)(2,4,11)(5,9,12)(6,8,10)]);
# Design 17: autom. group order 3, simple
B[17]:=[[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],[1,4,6,9,12,13],[1,4,7,9,12,13],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,7,8,9,13],[2,4,5,9,10,12],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,6,8,11,12],[3,4,7,8,11,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,6,9,11,13],[3,5,9,10,11,12],[4,5,6,7,8,9]];
G[17]:=Group([(1,3,12)(2,11,13)(5,8,9)]);
# Design 18: autom. group order 3, simple
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],[1,2,6,9,10,13],[1,3,6,7,11,13],[1,4,5,9,11,12],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,7,8,12],[2,4,7,9,10,11],[2,5,6,10,11,13],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,7,10,12],[3,5,6,8,9,10],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[18]:=Group([(1,11,12)(2,4,7)(3,9,6)(5,10,8)]);
# Design 19: autom. group order 3, simple, derived
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],[1,2,6,9,11,13],[1,3,6,9,12,13],[1,4,5,10,12,13],[1,4,6,7,8,10],[1,4,7,9,11,12],[1,5,7,8,9,13],[1,5,10,11,12,13],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,4,5,9,10,11],[2,4,6,8,12,13],[2,4,7,8,12,13],[2,5,6,7,11,13],[2,5,8,9,10,12],[2,6,7,9,10,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,8,9,11]];
G[19]:=Group([(1,4,7)(2,9,10)(3,11,6)(5,12,8)]);
# Design 20: autom. group order 3, simple, derived
B[20]:=[[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],[1,4,7,8,9,13],[1,5,7,8,11,12],[1,5,9,10,12,13],[1,6,7,10,11,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,8,9,13],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,6,9,11,12],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,8,12,13]];
G[20]:=Group([(1,4,7)(2,13,6)(3,8,10)(5,9,11)]);
# Design 21: autom. group order 3, simple
B[21]:=[[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],[1,4,7,9,10,12],[1,5,7,9,11,13],[1,5,7,10,11,13],[1,6,7,8,10,12],[2,3,7,8,12,13],[2,4,5,10,11,12],[2,4,6,7,10,13],[2,4,7,8,9,13],[2,5,6,9,10,13],[2,5,8,10,11,12],[2,6,7,9,11,12],[3,4,6,9,10,11],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,8,11],[3,5,6,7,9,12],[3,5,8,9,10,13],[4,5,6,8,12,13]];
G[21]:=Group([(1,2,11)(3,12,13)(4,10,7)(6,8,9)]);
# Design 22: autom. group order 3, 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],[1,2,6,7,9,13],[1,3,6,11,12,13],[1,4,5,8,10,13],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,7,9,11,12],[1,5,9,10,11,13],[1,6,7,8,12,13],[2,3,9,10,12,13],[2,4,5,11,12,13],[2,4,7,10,12,13],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,6,7,8,10,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,8,10,13],[3,5,7,8,11,13],[3,5,7,9,10,12],[4,5,6,8,9,12]];
G[22]:=Group([(1,10,12)(2,6,5)(3,11,9)(4,7,8)]);
# Design 23: autom. group order 3, simple, derived
B[23]:=[[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],[1,3,8,9,10,12],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,6,10,11,13],[1,5,7,9,10,11],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,8,9,12],[2,4,7,8,10,13],[2,5,6,9,10,11],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,6,8,11,13],[4,5,8,10,11,12]];
G[23]:=Group([(1,7,13)(2,4,11)(5,9,12)(6,8,10)]);
# Design 24: autom. group order 3, simple, derived
B[24]:=[[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],[1,3,8,9,10,12],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,5,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,13],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,10,11,13],[4,5,8,9,11,12]];
G[24]:=Group([(1,6,13)(2,5,11)(4,10,12)(7,8,9)]);
# Design 25: autom. group order 3, simple, derived
B[25]:=[[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],[1,3,8,9,10,12],[1,4,5,8,9,13],[1,4,6,8,11,12],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,5,10,11,12],[2,4,6,9,10,13],[2,4,7,8,9,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,6,8,11,13],[4,5,8,9,11,12]];
G[25]:=Group([(1,4,10)(2,7,8)(5,11,9)(6,13,12)]);
# Design 26: autom. group order 3, simple
B[26]:=[[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],[1,3,8,9,10,12],[1,4,5,8,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,9,10,11],[1,5,7,10,12,13],[1,6,7,9,11,13],[2,3,9,11,12,13],[2,4,5,9,10,11],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,6,7,8,10,12],[3,4,6,7,9,12],[3,4,7,8,10,13],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,8,11,13],[4,5,8,9,11,12]];
G[26]:=Group([(1,4,10)(2,7,8)(5,13,9)(6,11,12)]);
# Design 27: autom. group order 3, simple, derived
B[27]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,3,11,12,13],[1,2,6,7,8,11],[1,3,8,9,10,12],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,7,9,11,13],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,9,11,12,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,4,7,8,9,13],[2,5,6,9,10,11],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,6,8,11,13],[4,5,8,9,11,12]];
G[27]:=Group([(1,4,10)(2,7,8)(5,11,9)(6,13,12)]);
# Design 28: autom. group order 3, simple
B[28]:=[[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],[1,4,6,10,11,12],[1,5,7,9,11,12],[1,5,8,11,12,13],[1,6,7,9,10,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,10,11,12],[2,4,7,8,9,11],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,12,13],[3,4,6,7,8,12],[3,4,8,9,12,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,11],[3,5,6,9,10,12],[4,5,7,8,10,11]];
G[28]:=Group([(1,4,6)(2,10,7)(3,11,13)(5,12,9)]);
# Design 29: autom. group order 3, 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],[1,3,7,8,10,12],[1,4,5,9,10,11],[1,4,6,7,11,12],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,9,10,12,13],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,10,11,12],[3,4,6,8,9,12],[3,4,7,8,11,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,10,11,13],[4,5,8,9,11,12]];
G[29]:=Group([(1,6,13)(2,5,11)(4,10,12)(7,8,9)]);
# Design 30: autom. group order 3, 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],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,13],[1,5,9,10,12,13],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,5,8,10,12],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,8,11,13],[4,5,8,9,11,12]];
G[30]:=Group([(1,6,13)(2,5,11)(4,8,12)(7,10,9)]);
# Design 31: autom. group order 3, simple, derived
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],[1,3,7,8,10,12],[1,4,5,8,9,13],[1,4,6,7,11,12],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,9,10,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,8,9,12],[3,4,7,8,11,13],[3,4,7,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,10,11,13],[4,5,8,9,11,12]];
G[31]:=Group([(1,6,13)(2,5,11)(4,10,12)(7,8,9)]);
# Design 32: autom. group order 3, 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],[1,2,6,8,11,12],[1,3,8,9,10,13],[1,4,5,9,10,11],[1,4,6,7,9,11],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[2,3,7,9,11,12],[2,4,5,8,12,13],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,6,7,10,11,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,6,10,11,12],[4,5,8,9,11,12]];
G[32]:=Group([(1,5,10)(2,6,8)(4,11,9)(7,12,13)]);
# Design 33: autom. group order 3, simple
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],[1,3,8,9,10,13],[1,4,5,9,10,11],[1,4,6,7,9,11],[1,4,6,8,12,13],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,7,10,11,13],[2,3,7,9,11,12],[2,4,5,10,12,13],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,6,10,11,12],[4,5,8,9,11,12]];
G[33]:=Group([(1,5,10)(2,6,8)(4,11,9)(7,12,13)]);
# Design 34: autom. group order 3, 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],[1,2,6,8,11,12],[1,3,8,9,10,13],[1,4,5,8,9,11],[1,4,6,7,9,12],[1,4,6,10,11,13],[1,5,7,8,12,13],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,7,9,11,12],[2,4,5,10,12,13],[2,4,6,7,8,10],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,8,12,13],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,6,10,11,12],[4,5,8,9,11,12]];
G[34]:=Group([(1,5,10)(2,6,8)(4,12,9)(7,11,13)]);
# Design 35: autom. group order 3, simple
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],[1,3,8,9,10,13],[1,4,5,8,11,13],[1,4,6,7,9,11],[1,4,6,9,10,12],[1,5,7,8,9,12],[1,5,7,10,12,13],[1,6,7,10,11,13],[2,3,7,9,11,12],[2,4,5,10,12,13],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,7,8,12,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,5,6,10,11,12],[4,5,8,9,11,12]];
G[35]:=Group([(1,5,10)(2,6,8)(4,11,9)(7,12,13)]);
# Design 36: autom. group order 3, simple
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],[1,2,6,8,11,12],[1,3,8,9,10,13],[1,4,5,8,11,13],[1,4,6,7,9,12],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,7,9,11,12],[2,4,5,9,10,11],[2,4,6,7,8,10],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,8,12,13],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,6,10,11,12],[4,5,8,9,11,12]];
G[36]:=Group([(1,5,10)(2,6,8)(4,12,9)(7,11,13)]);
# Design 37: autom. group order 3, simple, derived
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],[1,3,8,11,12,13],[1,4,5,9,12,13],[1,4,6,7,8,12],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,5,7,9,10,11],[1,6,7,10,11,13],[2,3,7,9,10,13],[2,4,5,8,10,11],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,7,11,13],[2,5,8,10,12,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,6,9,11,12],[4,5,8,9,11,13]];
G[37]:=Group([(1,5,12)(2,6,11)(4,9,13)(7,10,8)]);
# Design 38: autom. group order 3, simple, derived
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],[1,2,6,8,9,11],[1,3,8,10,12,13],[1,4,5,8,9,12],[1,4,6,7,10,12],[1,4,6,9,11,13],[1,5,7,8,11,13],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,6,11,12,13],[3,4,7,8,9,11],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,6,9,10,11],[4,5,8,9,12,13]];
G[38]:=Group([(1,7,9)(2,11,12)(3,8,5)(6,10,13)]);
# Design 39: autom. group order 3, simple, derived
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],[1,2,6,8,11,12],[1,3,8,9,10,11],[1,4,5,8,9,13],[1,4,6,7,10,11],[1,4,6,9,12,13],[1,5,7,8,12,13],[1,5,7,10,11,13],[1,6,7,9,10,12],[2,3,7,9,12,13],[2,4,5,10,11,12],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,7,8,9],[2,5,9,10,11,13],[2,6,7,8,11,13],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,7,8,11,12],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,6,10,12,13],[4,5,8,9,11,12]];
G[39]:=Group([(1,5,10)(2,6,8)(4,12,9)(7,13,11)]);
# Design 40: autom. group order 3, 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],[1,3,8,9,10,11],[1,4,5,8,12,13],[1,4,6,7,9,10],[1,4,6,9,11,13],[1,5,7,8,10,13],[1,5,7,9,11,12],[1,6,7,10,12,13],[2,3,7,10,12,13],[2,4,5,9,10,12],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,7,8,11],[2,5,9,10,11,13],[2,6,7,8,9,12],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,8,11,13],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,6,9,12,13],[4,5,8,10,11,12]];
G[40]:=Group([(1,5,9)(2,6,8)(4,13,10)(7,12,11)]);
# Design 41: autom. group order 3, simple, derived
B[41]:=[[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],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,10,11,12],[1,5,8,9,11,12],[1,6,7,8,12,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,6,9,11,13],[3,4,6,10,11,12],[3,4,8,10,12,13],[3,5,6,7,8,10],[3,5,6,7,9,12],[3,5,8,9,10,13],[4,5,7,8,9,11]];
G[41]:=Group([(1,4,7)(2,12,6)(3,10,8)(5,9,13)]);
# Design 42: autom. group order 3, simple, derived
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],[1,3,7,8,9,12],[1,4,5,10,11,13],[1,4,6,7,8,13],[1,4,9,11,12,13],[1,5,6,7,10,12],[1,5,8,9,10,13],[1,6,7,10,11,12],[2,3,7,10,11,13],[2,4,5,8,10,12],[2,4,6,7,9,11],[2,4,8,10,11,12],[2,5,6,9,12,13],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,9,10,12],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,5,6,8,11,12],[3,5,6,8,11,13],[3,5,7,9,10,11],[4,5,7,8,9,11]];
G[42]:=Group([(1,8,9)(2,10,3)(5,12,6)(7,11,13)]);
# Design 43: autom. group order 3, 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],[1,2,6,8,11,12],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,9,10,12],[1,5,7,8,10,12],[1,6,7,8,11,13],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,6,7,9,11],[2,4,7,8,10,12],[2,5,6,8,10,13],[2,5,7,11,12,13],[2,6,7,9,10,13],[3,4,6,8,12,13],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,10,11],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,8,9,11,12]];
G[43]:=Group([(1,3,13)(2,12,11)(5,6,10)(7,8,9)]);
# Design 44: autom. group order 3, 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],[1,2,6,8,11,12],[1,3,7,8,9,13],[1,4,5,10,11,13],[1,4,6,7,9,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,6,7,9,11,12],[2,3,9,10,12,13],[2,4,5,8,9,12],[2,4,6,9,11,13],[2,4,7,9,10,11],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,7,8,10,13],[3,4,6,7,8,12],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,8,9,11],[3,5,6,9,10,11],[3,5,7,11,12,13],[4,5,8,9,12,13]];
G[44]:=Group([(1,11,12)(2,6,8)(3,9,4)(7,10,13)]);
# Design 45: autom. group order 3, simple, derived
B[45]:=[[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],[1,3,7,8,11,12],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,11,12],[2,4,6,8,10,11],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,12,13],[3,4,6,7,9,12],[3,4,6,8,9,13],[3,4,7,8,11,13],[3,5,6,10,11,12],[3,5,6,10,11,13],[3,5,7,8,9,10],[4,5,8,9,11,12]];
G[45]:=Group([(1,9,10)(2,12,6)(3,4,11)(7,8,13)]);
# Design 46: autom. group order 3, simple, derived
B[46]:=[[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],[1,3,7,8,9,11],[1,4,5,8,9,13],[1,4,6,7,10,12],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,9,10,11],[2,4,6,8,10,11],[2,4,7,11,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,8,11,13],[3,5,6,9,11,12],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,8,9,11,12]];
G[46]:=Group([(1,9,12)(2,7,5)(3,6,8)(4,13,10)]);
# Design 47: autom. group order 3, 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],[1,2,9,10,11,13],[1,3,6,7,9,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,6,8,12,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[2,3,6,11,12,13],[2,4,5,9,10,13],[2,4,6,7,9,12],[2,4,7,8,11,13],[2,5,6,8,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,13],[3,5,9,11,12,13],[4,5,6,8,9,11]];
G[47]:=Group([(1,6,8)(2,7,4)(3,9,11)(5,12,13)]);
# Design 48: autom. group order 3, simple
B[48]:=[[1,2,3,4,5,6],[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],[1,6,7,8,10,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,10,12],[2,4,6,9,10,13],[2,5,7,8,12,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,7,8,9,11],[3,4,7,9,10,12],[3,4,10,11,12,13],[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[48]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 49: autom. group order 3, simple, derived
B[49]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,12],[1,4,5,10,12,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,5,7,8,11,13],[2,5,7,10,11,12],[2,5,8,9,10,12],[3,4,7,8,10,11],[3,4,7,9,10,12],[3,4,9,11,12,13],[3,5,6,7,8,9],[3,5,6,7,12,13],[3,5,6,10,11,13],[4,5,6,8,9,11]];
G[49]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 50: autom. group order 3, simple
B[50]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,9,13],[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],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,4,6,10,12,13],[2,5,7,8,11,12],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,6,9,11,13],[4,5,6,8,9,11]];
G[50]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 51: autom. group order 3, simple, derived
B[51]:=[[1,2,3,4,5,6],[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],[1,6,7,8,9,13],[1,6,7,10,11,12],[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],[2,5,7,8,10,11],[2,5,7,9,10,12],[2,5,8,11,12,13],[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[51]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 52: autom. group order 3, simple, derived
B[52]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,12],[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],[2,4,6,8,9,10],[2,4,6,10,11,13],[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[52]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 53: autom. group order 3, simple, derived
B[53]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,4,6,10,11,13],[2,5,7,8,10,11],[2,5,7,9,10,12],[2,5,8,11,12,13],[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[53]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 54: autom. group order 3, simple, derived
B[54]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,6,7,8,9,12],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,4,6,10,11,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,5,8,10,11,12],[3,4,7,8,10,12],[3,4,7,9,10,11],[3,4,9,11,12,13],[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[54]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 55: autom. group order 3, simple
B[55]:=[[1,2,3,4,5,6],[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],[1,6,7,8,9,11],[1,6,7,8,10,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,4,6,9,10,13],[2,5,7,8,10,13],[2,5,7,10,11,12],[2,5,8,9,11,12],[3,4,7,9,10,12],[3,4,7,11,12,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,7,9,12],[3,5,6,10,11,13],[4,5,6,8,9,11]];
G[55]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 56: autom. group order 3, simple
B[56]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,4,6,10,12,13],[2,5,7,8,10,13],[2,5,7,9,11,12],[2,5,8,10,11,12],[3,4,7,9,10,11],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,6,7,8,12],[3,5,6,7,10,13],[3,5,6,9,11,13],[4,5,6,8,9,11]];
G[56]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 57: autom. group order 3, simple
B[57]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,6,7,8,9,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,8,9,12,13],[2,4,6,7,11,13],[2,4,6,8,9,10],[2,4,6,10,12,13],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,5,8,10,11,12],[3,4,7,9,10,11],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,7,8,11],[3,5,6,7,10,13],[3,5,6,9,12,13],[4,5,6,8,9,11]];
G[57]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 58: autom. group order 3, simple
B[58]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,6,8,10,12],[2,4,6,9,11,13],[2,5,7,8,9,10],[2,5,7,11,12,13],[2,5,8,10,11,12],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,6,7,12,13],[3,5,6,8,9,13],[4,5,6,8,9,11]];
G[58]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 59: autom. group order 3, simple
B[59]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,6,7,8,9,10],[1,6,7,8,10,12],[1,6,9,11,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,8,10,11],[2,4,6,10,12,13],[2,5,7,8,11,12],[2,5,7,10,11,12],[2,5,8,9,10,13],[3,4,7,8,11,13],[3,4,7,9,10,12],[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[59]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 60: autom. group order 3, simple, derived
B[60]:=[[1,2,3,4,5,6],[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],[2,4,6,7,10,13],[2,4,6,8,10,11],[2,4,6,9,12,13],[2,5,7,8,9,10],[2,5,7,10,11,12],[2,5,8,11,12,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,5,6,8,10,13],[4,5,6,8,9,11]];
G[60]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 61: autom. group order 3, simple
B[61]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,8,9,12,13],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,5,7,8,9,10],[2,5,7,11,12,13],[2,5,8,10,11,12],[3,4,7,8,11,12],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,6,7,10,13],[3,5,6,8,11,13],[4,5,6,8,9,11]];
G[61]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 62: autom. group order 3, simple
B[62]:=[[1,2,3,4,5,6],[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],[1,6,7,8,9,11],[1,6,7,9,10,12],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,6,7,9,10],[2,4,6,8,10,13],[2,4,6,11,12,13],[2,5,7,8,10,12],[2,5,7,10,11,13],[2,5,8,9,11,12],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,6,9,10,13],[4,5,6,8,9,11]];
G[62]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 63: autom. group order 3, simple
B[63]:=[[1,2,3,4,5,6],[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],[1,6,7,8,9,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,10],[2,4,6,11,12,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,5,8,10,11,12],[3,4,7,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,6,9,10,13],[4,5,6,8,9,11]];
G[63]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 64: autom. group order 3, simple
B[64]:=[[1,2,3,4,5,6],[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],[1,6,7,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,6,7,9,10],[2,4,6,8,10,13],[2,4,6,11,12,13],[2,5,7,8,9,11],[2,5,7,10,11,12],[2,5,8,10,12,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,7,11,13],[3,5,6,9,10,13],[4,5,6,8,9,11]];
G[64]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 65: autom. group order 3, simple, derived
B[65]:=[[1,2,3,4,5,6],[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],[2,4,6,7,10,13],[2,4,6,8,9,10],[2,4,6,11,12,13],[2,5,7,8,9,12],[2,5,7,10,11,12],[2,5,8,10,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,6,7,12,13],[3,5,6,9,10,13],[4,5,6,8,9,11]];
G[65]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 66: autom. group order 3, simple
B[66]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,13],[2,4,6,10,11,12],[2,5,7,8,11,12],[2,5,7,10,11,13],[2,5,8,9,10,12],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,7,12,13],[3,5,6,8,11,13],[4,5,6,8,9,11]];
G[66]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 67: autom. group order 3, simple
B[67]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,8,10,13],[2,4,6,10,11,12],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,5,8,9,10,11],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,10],[3,5,6,7,11,13],[3,5,6,8,12,13],[4,5,6,8,9,11]];
G[67]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 68: autom. group order 3, simple
B[68]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,6,8,10,13],[2,4,6,10,11,12],[2,5,7,8,10,13],[2,5,7,10,11,12],[2,5,8,9,11,12],[3,4,7,9,10,12],[3,4,7,11,12,13],[3,4,8,9,10,11],[3,5,6,7,9,10],[3,5,6,7,11,13],[3,5,6,8,12,13],[4,5,6,8,9,11]];
G[68]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 69: autom. group order 3, simple
B[69]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,6,7,10,13],[2,4,6,8,9,13],[2,4,6,10,11,12],[2,5,7,8,10,13],[2,5,7,9,11,12],[2,5,8,10,11,12],[3,4,7,9,10,11],[3,4,7,11,12,13],[3,4,8,9,10,12],[3,5,6,7,9,10],[3,5,6,7,12,13],[3,5,6,8,11,13],[4,5,6,8,9,11]];
G[69]:=Group([(1,2,3)(4,6,5)(7,12,10)(8,11,9)]);
# Design 70: autom. group order 3, simple
B[70]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,10,13],[1,4,5,8,9,11],[1,4,6,9,12,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,9,10,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,6,8,10,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,5,7,9,10,11],[4,5,6,7,9,12]];
G[70]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,12,9)]);
# Design 71: autom. group order 3, simple, derived
B[71]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,7,12,13],[1,4,5,8,9,11],[1,4,6,9,12,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,4,7,9,10,11],[2,5,6,7,8,12],[2,5,8,9,10,12],[2,6,7,8,9,13],[3,4,6,8,10,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,13],[3,5,7,11,12,13],[4,5,6,7,9,11]];
G[71]:=Group([(1,8,11)(2,4,12)(5,10,13)(6,7,9)]);
# Design 72: autom. group order 3, simple, derived
B[72]:=[[1,2,3,4,5,6],[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],[1,4,5,9,12,13],[1,4,6,7,9,12],[1,5,8,10,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,9,10,12,13],[2,4,5,7,10,11],[2,4,6,11,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,6,8,10,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,7,9,10]];
G[72]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,12,9)]);
# Design 73: autom. group order 3, simple, derived
B[73]:=[[1,2,3,4,5,6],[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],[1,4,5,10,12,13],[1,4,6,11,12,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,4,5,8,9,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,6,8,10,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,6,7,9,11]];
G[73]:=Group([(1,3,8)(2,4,7)(5,12,13)(6,10,11)]);
# Design 74: autom. group order 3, simple
B[74]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,9,10,11,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,7,10,12,13],[2,4,5,8,11,12],[2,4,6,7,11,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,9,11,12,13],[2,6,7,9,10,11],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[3,5,7,8,10,12],[4,5,6,7,9,10]];
G[74]:=Group([(2,6,8)(3,12,7)(4,11,9)(5,10,13)]);
# Design 75: autom. group order 3, simple, derived
B[75]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,10,11,12,13],[2,6,7,8,9,10],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,7,8,11,13],[4,5,6,8,9,11]];
G[75]:=Group([(1,2,13)(3,12,10)(5,8,6)]);
# Design 76: autom. group order 3, simple, derived
B[76]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,7,8,11,12],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[4,5,6,8,9,11]];
G[76]:=Group([(1,2,13)(3,12,10)(5,8,6)]);
# Design 77: autom. group order 3, simple, derived
B[77]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,10,13],[1,4,6,8,10,11],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,8,9,10,13],[2,4,5,9,11,12],[2,4,6,8,12,13],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,11,12,13],[4,5,6,9,10,11]];
G[77]:=Group([(1,4,11)(2,7,12)(5,9,13)(6,8,10)]);
# Design 78: autom. group order 3, simple
B[78]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,7,8,10,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,7,9,10,11],[2,6,7,8,9,12],[3,4,6,7,10,13],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,5,6,8,10,12],[3,5,8,11,12,13],[4,5,6,8,9,11]];
G[78]:=Group([(1,4,11)(2,7,12)(5,10,13)(6,8,9)]);
# Design 79: autom. group order 3, simple
B[79]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,4,9,11,12,13],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,6,7,8,10,11],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,8,12,13],[3,5,7,9,10,11],[4,5,6,7,9,12]];
G[79]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 80: autom. group order 3, simple
B[80]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,8,11,12],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,8,10,11],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,7,9,12]];
G[80]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 81: autom. group order 3, simple
B[81]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,12],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,9,11,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,8,12,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,7,8,10,11],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,5,7,9,10,13],[4,5,6,7,9,12]];
G[81]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 82: autom. group order 3, simple
B[82]:=[[1,2,3,4,5,6],[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],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,10,11,12],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,9,10,11],[2,6,7,8,10,13],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,9,10,11,13],[3,5,6,8,10,13],[3,5,7,8,9,11],[3,5,7,10,11,12],[4,5,6,7,9,12]];
G[82]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 83: autom. group order 3, simple
B[83]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,9],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,6,7,8,10,11],[3,4,6,7,11,12],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,8,10,12],[3,5,7,9,11,13],[4,5,6,7,9,12]];
G[83]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 84: autom. group order 3, simple, derived
B[84]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,11,12,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,10,11],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,7,9,12]];
G[84]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 85: autom. group order 3, simple
B[85]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,8,10,12,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,9,10,12,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,6,7,10,11,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,8,11,12],[3,5,7,9,10,11],[4,5,6,7,9,12]];
G[85]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 86: autom. group order 3, simple
B[86]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,8,12,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[1,6,8,9,10,11],[2,3,9,10,11,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,4,9,11,12,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,10,12],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,8,9,10,12],[3,5,6,10,12,13],[3,5,7,8,9,12],[3,5,7,8,11,13],[4,5,6,7,9,11]];
G[86]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 87: autom. group order 3, simple
B[87]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,12],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,11,12],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,7,8,9,10],[2,4,8,10,11,12],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,7,10,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,8,10,11],[3,5,9,10,11,12],[4,5,6,7,9,12]];
G[87]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 88: autom. group order 3, simple
B[88]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,6,10,11,13],[2,6,7,10,12,13],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,9,10,11],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[88]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 89: autom. group order 3, simple
B[89]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,9,10,11],[1,5,8,9,11,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,7,8,10],[3,5,7,8,9,11],[3,5,10,11,12,13],[4,5,6,7,9,12]];
G[89]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 90: autom. group order 3, simple
B[90]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,6,8,9,11],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,8,10,12,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,7,10,11,13],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,6,8,10,13],[2,6,7,8,11,12],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,7,10,11],[3,5,7,8,11,12],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[90]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 91: autom. group order 3, simple
B[91]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,6,8,9,11],[1,5,9,10,11,12],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,7,9,10,11],[2,4,10,11,12,13],[2,5,6,7,9,13],[2,5,6,8,10,13],[2,6,7,8,11,12],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,7,10,11],[3,5,7,8,11,13],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[91]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 92: autom. group order 3, simple
B[92]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,6,8,9,11],[1,5,9,10,11,12],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,7,10,11,12],[2,4,9,10,11,13],[2,5,6,7,9,13],[2,5,6,8,10,13],[2,6,7,8,11,12],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,7,10,11],[3,5,7,8,9,11],[3,5,8,11,12,13],[4,5,6,7,9,12]];
G[92]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 93: autom. group order 3, simple
B[93]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,5,8,9,11,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,7,8,10,11],[2,4,9,11,12,13],[2,5,6,7,8,9],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[93]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 94: autom. group order 3, simple
B[94]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,7,8,10,11],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,6,8,11,13],[2,6,7,10,12,13],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[94]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 95: autom. group order 3, simple, derived
B[95]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,6,8,11,13],[2,6,7,8,10,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[95]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 96: autom. group order 3, simple, derived
B[96]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,10,11,12,13],[2,4,5,8,11,13],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,9,11,12],[3,4,6,8,9,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,7,9,13],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[96]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 97: autom. group order 3, simple, derived
B[97]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,7,8,9,12],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,9,11,13],[3,4,6,8,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[97]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 98: autom. group order 3, simple
B[98]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,8,10,11,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,10,11,12,13],[2,4,5,8,9,11],[2,4,7,8,10,12],[2,4,9,11,12,13],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,9,12],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,10,11]];
G[98]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 99: autom. group order 3, simple
B[99]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,4,6,9,10,12],[1,5,8,9,10,11],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,9,10,11,13],[2,4,5,8,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,8,10],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[99]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 100: autom. group order 3, simple
B[100]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,10,11],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,8,10,11,12],[2,3,9,10,11,13],[2,4,5,8,11,13],[2,4,7,8,10,12],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[100]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 101: autom. group order 3, simple
B[101]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,5,9,12,13],[1,4,6,7,10,11],[1,5,7,8,11,12],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,8,9,11],[2,4,7,8,10,12],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,6,7,9,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,8,10,12],[3,5,7,8,11,13],[3,5,7,9,10,11],[4,5,6,7,9,12]];
G[101]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 102: autom. group order 3, simple
B[102]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,5,7,10,11,12],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,9,11,12,13],[2,4,5,8,9,12],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,6,8,10,13],[2,6,7,8,9,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,8,10,11],[3,5,7,8,12,13],[3,5,7,9,10,12],[4,5,6,7,9,11]];
G[102]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 103: autom. group order 3, simple
B[103]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,10,12],[1,5,7,8,10,11],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,9,10,11,13],[2,4,5,8,9,12],[2,4,7,8,10,11],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,8,10,11],[3,5,7,8,12,13],[3,5,7,9,10,12],[4,5,6,7,9,11]];
G[103]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 104: autom. group order 3, simple
B[104]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,5,8,9,10,12],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,8,9,12,13],[2,4,5,7,9,13],[2,4,8,10,12,13],[2,4,9,10,11,12],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,6,7,10,11,12],[3,4,6,8,10,13],[3,4,6,9,10,11],[3,4,7,8,9,11],[3,5,6,9,12,13],[3,5,7,8,11,12],[3,5,7,10,11,13],[4,5,6,7,9,12]];
G[104]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 105: autom. group order 3, simple, derived
B[105]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,8,12,13],[1,4,6,7,10,12],[1,5,9,10,11,12],[1,6,7,8,9,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,9,11],[2,4,8,10,11,12],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,8,10,13],[2,6,7,8,11,12],[3,4,6,9,11,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,12],[3,5,7,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,12]];
G[105]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 106: autom. group order 3, simple
B[106]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,7,11,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,9,10,11,13],[2,4,5,7,9,13],[2,4,8,9,11,12],[2,4,10,11,12,13],[2,5,6,7,10,12],[2,5,6,8,12,13],[2,6,7,8,10,11],[3,4,6,8,9,12],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,5,6,9,11,13],[3,5,7,8,10,11],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[106]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 107: autom. group order 3, simple, derived
B[107]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,7,8,9,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,5,8,10,11,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,7,8,10,12],[2,4,7,9,10,11],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,8,9,11,13],[3,4,6,8,11,13],[3,4,6,9,10,11],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,5,7,9,11,12],[4,5,6,7,8,9]];
G[107]:=Group([(1,6,12)(2,9,4)(3,8,13)(7,11,10)]);
# Design 108: autom. group order 3, simple
B[108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,9,10,11,13],[2,4,5,9,12,13],[2,4,7,9,11,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,7,10,12],[2,6,8,10,11,12],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[108]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 109: autom. group order 3, simple
B[109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,12],[1,4,5,10,11,13],[1,4,6,7,10,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,9,10,11,13],[2,4,5,9,12,13],[2,4,7,9,11,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,7,12,13],[2,6,8,10,11,12],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[109]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 110: autom. group order 3, simple
B[110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,5,10,11,12],[1,4,6,7,10,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,9,10,11,13],[2,4,5,9,12,13],[2,4,7,9,11,12],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,6,7,10,13],[2,6,8,10,11,12],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,8,11,13],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[110]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 111: autom. group order 3, simple
B[111]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,9,10,11],[1,4,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,8,10,13],[2,5,6,8,11,12],[2,6,7,9,10,11],[3,4,6,7,8,10],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,7,8,9,11],[3,5,10,11,12,13],[4,5,6,7,9,12]];
G[111]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 112: autom. group order 3, simple
B[112]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,7,8,9,10],[2,4,10,11,12,13],[2,5,6,8,10,12],[2,5,6,8,11,13],[2,6,7,9,10,11],[3,4,6,7,10,11],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,7,8,11,13],[3,5,9,10,11,12],[4,5,6,7,9,12]];
G[112]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 113: autom. group order 3, simple
B[113]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,7,11,12],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,6,10,12,13],[2,6,7,9,10,13],[3,4,6,7,11,13],[3,4,6,8,10,13],[3,4,9,11,12,13],[3,5,6,7,8,9],[3,5,7,9,10,11],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[113]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 114: autom. group order 3, simple, derived
B[114]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,7,11,12],[2,4,7,8,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,6,10,11,13],[2,6,7,9,10,13],[3,4,6,7,10,13],[3,4,6,8,11,13],[3,4,9,11,12,13],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[114]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 115: autom. group order 3, simple
B[115]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,9,10,13],[1,4,6,8,9,12],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,6,11,12,13],[2,6,7,8,9,10],[3,4,6,7,8,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,7,9,12]];
G[115]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 116: autom. group order 3, simple
B[116]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,7,8,11,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,7,8,10,11],[2,4,9,11,12,13],[2,5,6,8,11,13],[2,5,6,10,12,13],[2,6,7,8,9,10],[3,4,6,7,11,13],[3,4,6,8,10,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,12]];
G[116]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 117: autom. group order 3, simple
B[117]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,9,12],[1,5,7,8,11,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[117]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 118: autom. group order 3, simple, derived
B[118]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,12,13],[1,4,6,9,10,11],[1,5,7,10,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,7,11,12],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,6,8,11,13],[2,6,7,9,12,13],[3,4,6,7,10,13],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,6,7,8,9],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[118]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 119: autom. group order 3, simple
B[119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,9,11,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,7,8,10,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,9,10,12,13],[2,4,5,7,10,12],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,6,8,12,13],[2,6,7,9,10,11],[3,4,6,7,10,13],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[119]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 120: autom. group order 3, simple
B[120]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,7,8,10],[2,4,8,9,10,11],[2,4,10,11,12,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,9,10,11],[3,5,7,8,11,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[120]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 121: autom. group order 3, simple
B[121]:=[[1,2,3,4,5,6],[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],[1,4,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,11,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,8,9,10,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,6,7,9,10,12],[3,4,6,7,8,10],[3,4,6,9,11,13],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,5,10,11,12,13],[4,5,6,7,9,12]];
G[121]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 122: autom. group order 3, simple
B[122]:=[[1,2,3,4,5,6],[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],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,8,9,10,11],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,6,7,9,10,12],[3,4,6,7,8,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,5,6,8,9,13],[3,5,7,10,11,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[122]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 123: autom. group order 3, simple
B[123]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,8,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,8,9,10,11],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,7,9,11,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,9,11,13],[3,5,7,8,11,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[123]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 124: autom. group order 3, simple
B[124]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,9,11,12],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,8,10,12,13],[2,3,10,11,12,13],[2,4,5,7,8,12],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,6,8,11,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,8,9,10],[3,5,7,9,12,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[124]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 125: autom. group order 3, simple
B[125]:=[[1,2,3,4,5,6],[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],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,8,10,11],[2,6,7,9,11,12],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,8,9,13],[3,5,7,10,12,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[125]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 126: autom. group order 3, simple
B[126]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,9,11,12],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,7,10,12],[2,4,8,9,12,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,10,11,13],[2,6,7,8,9,11],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,4,7,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[126]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 127: autom. group order 3, simple
B[127]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,8,10,12],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,9,10,11,13],[2,3,9,10,12,13],[2,4,5,7,10,11],[2,4,8,9,10,11],[2,4,8,11,12,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[127]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 128: autom. group order 3, simple, derived
B[128]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,9,11,13],[1,5,7,8,10,11],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,7,9,10,13],[2,4,7,10,11,12],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,8,9,10,11],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,11],[3,5,9,11,12,13],[4,5,6,7,9,12]];
G[128]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 129: autom. group order 3, simple
B[129]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,7,8,11,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,7,8,11],[3,5,7,9,11,12],[3,5,8,9,10,13],[4,5,6,7,9,12]];
G[129]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 130: autom. group order 3, simple
B[130]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,13],[1,5,7,10,12,13],[1,6,7,9,10,11],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,4,7,9,11,12],[2,5,6,7,8,13],[2,5,6,8,10,11],[2,6,8,9,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,8,10,11,13],[3,5,6,7,12,13],[3,5,7,8,9,11],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[130]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 131: autom. group order 3, simple, derived
B[131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,11,12],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,7,8,10,11],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,6,8,9,10,12],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,8,10,11,12],[3,5,6,7,8,13],[3,5,7,9,10,12],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[131]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 132: autom. group order 3, simple
B[132]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,7,10,12,13],[1,6,7,9,10,11],[1,6,8,10,11,12],[2,3,9,10,11,13],[2,4,5,10,11,12],[2,4,7,8,10,12],[2,4,7,9,11,12],[2,5,6,7,10,13],[2,5,6,8,11,13],[2,6,8,9,12,13],[3,4,6,7,10,13],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,12],[3,5,7,8,9,11],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[132]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 133: autom. group order 3, simple, derived
B[133]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,6,7,11,13],[2,6,9,10,12,13],[3,4,6,7,9,10],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,6,10,11,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[133]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 134: autom. group order 3, simple, derived
B[134]:=[[1,2,3,4,5,6],[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],[1,4,5,9,10,12],[1,4,6,10,11,13],[1,5,7,8,9,11],[1,6,7,8,12,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,7,11,12],[2,6,8,9,10,12],[3,4,6,7,8,9],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,7,8,10,11],[3,5,9,11,12,13],[4,5,6,7,9,12]];
G[134]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 135: autom. group order 3, simple
B[135]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,5,7,8,9,11],[1,6,7,8,9,10],[1,6,8,11,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,6,7,12,13],[2,6,8,9,10,12],[3,4,6,7,9,13],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,5,6,8,10,13],[3,5,7,8,11,12],[3,5,9,10,11,13],[4,5,6,7,9,12]];
G[135]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 136: autom. group order 3, simple
B[136]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,5,10,11,12],[1,4,6,8,12,13],[1,5,7,8,9,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,7,11,13],[2,6,8,9,10,11],[3,4,6,7,9,13],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[136]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 137: autom. group order 3, simple, derived
B[137]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,5,10,11,13],[1,4,6,8,12,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,6,7,12,13],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,10,12,13],[3,5,7,8,10,12],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[137]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 138: autom. group order 3, simple, derived
B[138]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,11],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,7,9,12,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,7,8,9,12],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,7,10,11],[2,6,8,9,11,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,8,12,13],[3,5,7,8,10,12],[3,5,8,9,10,11],[4,5,6,7,9,11]];
G[138]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 139: autom. group order 3, simple, derived
B[139]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,5,9,10,11],[1,4,6,10,12,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,7,11,12],[2,6,8,9,11,13],[3,4,6,7,8,9],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,8,10,13],[3,5,7,8,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[139]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 140: autom. group order 3, simple, derived
B[140]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,9,11],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,7,9,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,7,10,11],[2,6,8,9,11,12],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,8,10,12],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[140]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 141: autom. group order 3, simple
B[141]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,12],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,7,9,10,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,8,10],[2,5,6,7,11,13],[2,6,8,9,11,12],[3,4,6,7,9,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[141]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 142: autom. group order 3, simple
B[142]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,8,9,10,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,8,11,13],[2,6,10,11,12,13],[3,4,6,8,10,13],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[142]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 143: autom. group order 3, simple, derived
B[143]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,4,6,9,11,12],[1,5,8,9,10,11],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,8,12],[2,4,7,9,10,11],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,10,13],[2,6,8,10,11,12],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,4,7,8,10,11],[3,5,6,7,9,10],[3,5,7,11,12,13],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[143]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 144: autom. group order 3, simple, derived
B[144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,4,6,9,10,11],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,9,10,11,13],[2,4,5,7,11,12],[2,4,7,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,8,10,11,12],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,7,8,9],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[144]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 145: autom. group order 3, simple
B[145]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,10,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,9,10,11,13],[2,4,5,7,11,13],[2,4,7,9,10,12],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,10,12,13],[2,6,8,10,11,13],[3,4,6,8,9,10],[3,4,6,8,12,13],[3,4,7,10,12,13],[3,5,6,7,9,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[145]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 146: autom. group order 3, simple
B[146]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,9,12],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,8,10,11,12],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,7,8,9,11],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,6,8,10,12],[2,6,7,9,12,13],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,7,8,11,12],[3,5,7,9,10,12],[4,5,6,7,10,11]];
G[146]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 147: autom. group order 3, simple, derived
B[147]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,12,13],[1,4,6,7,10,12],[1,5,8,9,11,12],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,7,8,10,13],[2,4,5,8,10,11],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,6,10,12,13],[2,6,7,8,9,12],[3,4,6,8,11,13],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,5,7,10,12,13],[4,5,6,7,10,11]];
G[147]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 148: autom. group order 3, simple, derived
B[148]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,8,10,13],[1,4,6,7,9,10],[1,5,8,10,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,7,9,10,13],[2,4,5,9,11,12],[2,4,7,10,11,12],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,6,8,12,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,5,7,10,11,13],[4,5,6,7,9,11]];
G[148]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 149: autom. group order 3, simple
B[149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,11,13],[1,4,5,8,9,13],[1,4,6,7,9,12],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,8,10,12,13],[2,3,7,8,10,13],[2,4,5,8,10,12],[2,4,8,9,11,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,6,9,12,13],[2,6,7,8,9,11],[3,4,6,8,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,11]];
G[149]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 150: autom. group order 3, simple, derived
B[150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,6,7,9,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[1,6,8,9,10,12],[2,3,7,8,10,13],[2,4,5,10,12,13],[2,4,8,9,10,11],[2,4,8,9,11,12],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,9,11,13],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[3,5,7,9,11,12],[4,5,6,7,10,11]];
G[150]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 151: autom. group order 3, simple, derived
B[151]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,5,9,12,13],[1,4,6,7,8,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,8,9,11,12],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,9,11,13],[3,4,6,8,9,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[3,5,7,8,9,12],[4,5,6,7,10,11]];
G[151]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 152: autom. group order 3, simple
B[152]:=[[1,2,3,4,5,6],[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],[1,4,5,9,12,13],[1,4,6,7,8,12],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,7,10,12,13],[2,4,5,8,9,10],[2,4,8,10,11,12],[2,4,9,11,12,13],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,9,11,12],[3,5,7,8,9,11],[3,5,7,8,12,13],[4,5,6,7,10,11]];
G[152]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 153: autom. group order 3, simple
B[153]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,6,7,9,12],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,8,10,12,13],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,8,9,11,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,6,8,9,13],[2,6,7,8,11,12],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,5,6,8,9,11],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,11]];
G[153]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 154: autom. group order 3, simple, derived
B[154]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,10,11,12,13],[1,6,7,8,9,10],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,8,9,11,12],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,7,8,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,5,7,8,11,12],[4,5,6,7,10,11]];
G[154]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 155: autom. group order 3, simple
B[155]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,4,6,7,10,12],[1,5,8,9,10,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,8,10,11,13],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,8,10,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,8,10,11],[3,5,7,8,11,12],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[155]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 156: autom. group order 3, simple, derived
B[156]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,11],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,8,9,10,12],[2,3,7,9,10,13],[2,4,5,8,9,13],[2,4,8,10,11,12],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,5,6,10,11,13],[3,5,7,8,10,12],[3,5,7,8,11,12],[4,5,6,7,9,11]];
G[156]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 157: autom. group order 3, simple, derived
B[157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,9,11,13],[1,3,8,9,10,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,10,11,12,13],[2,4,5,8,10,13],[2,4,7,8,10,12],[2,4,8,9,11,12],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,9,10,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,9,10,11]];
G[157]:=Group([(1,9,13)(2,4,8)(3,11,5)(7,12,10)]);
# Design 158: autom. group order 3, simple
B[158]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,11,13],[1,4,6,7,10,11],[1,5,9,10,11,12],[1,6,7,8,9,10],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,6,8,9,13],[2,6,7,8,11,12],[3,4,6,9,11,13],[3,4,6,10,12,13],[3,4,7,8,9,10],[3,5,6,7,9,12],[3,5,7,8,11,12],[3,5,7,10,11,13],[4,5,6,8,9,11]];
G[158]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 159: autom. group order 3, simple
B[159]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,8,11,12],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,6,8,9,13],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,8,9,11]];
G[159]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 160: autom. group order 3, simple
B[160]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,11,13],[1,4,6,7,8,10],[1,5,10,11,12,13],[1,6,7,9,10,11],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,7,9,11,12],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,8,9,13],[2,6,7,8,12,13],[3,4,6,9,11,13],[3,4,6,10,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,8,9,11]];
G[160]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 161: autom. group order 3, simple
B[161]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,5,8,12,13],[1,4,6,7,8,10],[1,5,10,11,12,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,7,10,11,12],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,6,8,10,13],[2,6,7,8,12,13],[3,4,6,9,12,13],[3,4,6,10,11,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,8,9,11],[3,5,7,8,10,12],[4,5,6,8,9,11]];
G[161]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 162: autom. group order 3, simple
B[162]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,5,8,10,11,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,9,10,13],[2,6,7,8,9,12],[3,4,6,8,9,10],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,10,12],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[162]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 163: autom. group order 3, simple, derived
B[163]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,6,7,10,13],[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],[2,4,7,9,10,12],[2,4,8,11,12,13],[2,5,6,7,11,13],[2,5,6,8,9,10],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[163]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 164: autom. group order 3, simple
B[164]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,5,9,11,13],[1,4,6,7,10,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[1,6,9,10,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,11,12,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,8,9,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[164]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 165: autom. group order 3, simple
B[165]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,8,9,13],[1,4,6,7,9,10],[1,5,8,10,11,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,10,11,12],[2,4,7,9,11,12],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,6,9,11,13],[2,6,7,8,9,12],[3,4,6,8,11,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,7,8,10,11],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[165]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 166: autom. group order 3, simple, derived
B[166]:=[[1,2,3,4,5,6],[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],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,9,10,11,12],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,7,8,11,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,6,7,9,10,13],[3,4,6,7,9,11],[3,4,6,8,9,13],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,7,8,9,10],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[166]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 167: autom. group order 3, simple, derived
B[167]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,7,9,11,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,7,8,9,10],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,6,8,10,11],[2,6,7,10,12,13],[3,4,6,7,9,11],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,7,8,9,12],[3,5,9,10,11,12],[4,5,6,7,10,11]];
G[167]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 168: autom. group order 3, simple, derived
B[168]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,10],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,7,11,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,7,9,11,12],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,6,10,11,12],[2,6,7,8,10,13],[3,4,6,7,8,11],[3,4,6,9,12,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,10,12],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[168]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 169: autom. group order 3, simple, derived
B[169]:=[[1,2,3,4,5,6],[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],[1,4,6,10,12,13],[1,5,7,11,12,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,4,9,10,11,12],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,10,13],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[169]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 170: autom. group order 3, simple, derived
B[170]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,10],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,7,9,11,13],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[170]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 171: autom. group order 3, simple
B[171]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,10],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,7,9,10,12],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,6,9,10,11],[2,6,7,8,10,13],[3,4,6,7,11,12],[3,4,6,8,9,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,12],[3,5,8,10,11,12],[4,5,6,7,10,11]];
G[171]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 172: autom. group order 3, simple, derived
B[172]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,9,12],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,7,9,10,13],[2,4,5,10,11,13],[2,4,7,11,12,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,7,10,11],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[172]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 173: autom. group order 3, simple
B[173]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,11],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,4,5,9,11,13],[2,4,7,8,11,12],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,6,7,9,10,13],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,4,10,11,12,13],[3,5,6,8,11,13],[3,5,7,8,9,10],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[173]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 174: autom. group order 3, simple
B[174]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,13],[1,4,5,8,10,12],[1,4,6,9,11,13],[1,5,7,11,12,13],[1,6,7,8,9,10],[1,6,8,10,11,12],[2,3,8,10,11,13],[2,4,5,8,11,13],[2,4,7,8,9,12],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,6,10,12,13],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,7,12,13],[3,4,9,10,12,13],[3,5,6,8,9,13],[3,5,7,8,11,12],[3,5,7,9,10,11],[4,5,6,8,9,11]];
G[174]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 175: autom. group order 3, simple
B[175]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,13],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,9,11,13],[2,4,7,9,11,12],[2,4,8,10,12,13],[2,5,6,7,8,12],[2,5,6,10,12,13],[2,6,7,9,10,11],[3,4,6,7,9,10],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,5,7,9,12,13],[4,5,6,8,9,11]];
G[175]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 176: autom. group order 3, simple, derived
B[176]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,6,7,9,10,12],[3,4,6,7,8,9],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,8,10,11],[3,5,9,11,12,13],[4,5,6,8,9,11]];
G[176]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 177: autom. group order 3, simple
B[177]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,5,9,10,12],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,12,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,8,9,11],[3,5,10,11,12,13],[4,5,6,8,9,11]];
G[177]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 178: autom. group order 3, simple
B[178]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,5,9,10,13],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,11,12,13],[2,6,7,9,10,12],[3,4,6,7,8,13],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,8,9,11]];
G[178]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 179: autom. group order 3, simple, derived
B[179]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,9,10],[2,4,9,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,7,8,11,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[179]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 180: autom. group order 3, simple, derived
B[180]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,5,10,12,13],[1,4,6,8,9,10],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,11,12,13],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,7,8,9,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,5,9,10,11,13],[4,5,6,8,9,11]];
G[180]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 181: autom. group order 3, simple
B[181]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,13],[1,4,5,11,12,13],[1,4,6,8,9,10],[1,5,7,8,10,12],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,8,10,11,13],[2,4,5,9,11,12],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,10,12,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,8,9,11]];
G[181]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 182: autom. group order 3, simple, derived
B[182]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,13],[1,4,5,8,12,13],[1,4,6,9,10,11],[1,5,7,10,11,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,7,8,10,11],[3,5,9,11,12,13],[4,5,6,8,9,11]];
G[182]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 183: autom. group order 3, simple
B[183]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,8,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,8,10,12],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,10],[3,5,8,11,12,13],[4,5,6,8,9,11]];
G[183]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 184: autom. group order 3, simple, derived
B[184]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,13],[1,4,5,10,12,13],[1,4,6,9,10,11],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,10,13],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[184]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 185: autom. group order 3, simple
B[185]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,6,7,8,10,12],[3,4,6,7,9,10],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[185]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 186: autom. group order 3, simple, derived
B[186]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,6,7,8,10,12],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[186]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 187: autom. group order 3, simple
B[187]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[1,6,9,10,12,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,7,11,12,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,7,8,10,13],[3,5,8,9,11,12],[4,5,6,8,9,11]];
G[187]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 188: autom. group order 3, simple, derived
B[188]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,9,13],[1,3,9,10,11,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,11,12],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,6,9,11,13],[2,6,7,9,10,11],[3,4,6,7,11,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,8,10],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,8,9,10]];
G[188]:=Group([(2,6,8)(3,12,7)(4,11,9)(5,10,13)]);
# Design 189: autom. group order 3, simple, derived
B[189]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,9,13],[1,4,5,10,12,13],[1,4,6,9,10,11],[1,5,7,8,10,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,8,9,10,13],[2,4,5,8,11,12],[2,4,7,9,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,10,11,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[189]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 190: autom. group order 3, simple, derived
B[190]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,13],[1,4,5,9,12,13],[1,4,6,9,10,11],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,8,9,10,13],[2,4,5,8,11,12],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,11,13],[2,5,6,10,12,13],[2,6,7,9,10,12],[3,4,6,7,12,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,8,9],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[190]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 191: autom. group order 3, simple, derived
B[191]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,10,11,13],[1,4,6,8,10,11],[1,5,7,9,10,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[191]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 192: autom. group order 3, simple, derived
B[192]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,10,11,13],[1,4,6,8,10,11],[1,5,7,9,10,12],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,5,6,7,9,11],[3,5,7,8,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[192]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 193: autom. group order 3, simple, derived
B[193]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,10,11,13],[1,4,6,8,10,11],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,7,9,11,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,5,6,7,9,11],[3,5,7,8,10,11],[3,5,8,11,12,13],[4,5,6,8,9,11]];
G[193]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 194: autom. group order 3, simple, derived
B[194]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,6,7,9,10,12],[3,4,6,7,8,9],[3,4,6,10,12,13],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[194]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 195: autom. group order 3, simple
B[195]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,10,11,13],[2,6,7,9,10,12],[3,4,6,7,9,10],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,11],[3,5,8,10,12,13],[4,5,6,8,9,11]];
G[195]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 196: autom. group order 3, simple
B[196]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,7,8,9,11],[2,4,10,11,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,8,9,11]];
G[196]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 197: autom. group order 3, simple, derived
B[197]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,8,10,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,8,9,10,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,4,8,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[197]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 198: autom. group order 3, simple
B[198]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,8,9,10,13],[2,4,5,11,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,6,7,10,11,12],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,7,8,13],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,8,9,11]];
G[198]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 199: autom. group order 3, simple, derived
B[199]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,9,10,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,8,9,10,13],[2,4,5,11,12,13],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,6,7,10,11,12],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,5,6,7,8,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[199]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 200: autom. group order 3, simple, derived
B[200]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,11,13],[2,4,9,10,11,12],[2,5,6,7,9,11],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,7,8,11,12],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[200]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 201: autom. group order 3, simple, derived
B[201]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,5,7,10,11,12],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,10,11],[2,4,9,11,12,13],[2,5,6,7,9,11],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,7,8,11,13],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[201]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 202: autom. group order 3, simple, derived
B[202]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,10,13],[1,4,5,8,9,12],[1,4,6,10,11,13],[1,5,7,10,11,12],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,9,11,12],[2,4,9,10,11,13],[2,5,6,7,9,11],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,7,9,13],[3,5,7,8,10,11],[3,5,8,11,12,13],[4,5,6,8,9,11]];
G[202]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 203: autom. group order 3, simple, derived
B[203]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,12,13],[1,4,5,8,9,13],[1,4,6,8,10,11],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,7,8,10,13],[2,4,5,7,9,11],[2,4,8,9,10,12],[2,4,10,11,12,13],[2,5,6,8,10,13],[2,5,6,9,12,13],[2,6,7,8,9,11],[3,4,6,8,12,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,7,10,12],[3,5,7,8,11,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[203]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 204: autom. group order 3, simple, derived
B[204]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,11],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,10,12,13],[2,3,7,10,12,13],[2,4,5,7,11,12],[2,4,8,9,10,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,6,9,10,13],[2,6,7,8,9,11],[3,4,6,8,9,13],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[204]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 205: autom. group order 3, simple, derived
B[205]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,10,12,13],[1,4,6,8,9,11],[1,5,8,9,10,11],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,7,9,10,13],[2,4,5,7,10,11],[2,4,8,9,10,12],[2,4,9,11,12,13],[2,5,6,8,9,13],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,8,10,13],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[205]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 206: autom. group order 3, simple, derived
B[206]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[1,6,7,8,10,13],[2,3,7,8,10,13],[2,4,5,8,11,13],[2,4,7,9,10,12],[2,4,9,10,11,13],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,8,9,11,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,9,13],[3,5,7,11,12,13],[3,5,8,10,11,12],[4,5,6,7,10,11]];
G[206]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 207: autom. group order 3, simple
B[207]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,7,11,13],[1,4,5,8,9,13],[1,4,6,9,10,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,10,13],[2,4,5,8,11,12],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,6,9,12,13],[2,6,8,9,11,13],[3,4,6,8,12,13],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,7,8,9],[3,5,7,9,11,12],[3,5,8,10,11,12],[4,5,6,7,10,11]];
G[207]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 208: autom. group order 3, simple
B[208]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,11,12],[1,4,6,8,10,13],[1,5,9,10,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,7,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,6,8,10,13],[2,6,8,11,12,13],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,7,8,9,13],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[208]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 209: autom. group order 3, simple
B[209]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,8,9,10,12],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,7,9,10,13],[2,4,5,8,10,11],[2,4,7,9,11,12],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,6,8,10,11,12],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,7,10,12],[3,5,7,8,9,11],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[209]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 210: autom. group order 3, simple, derived
B[210]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,5,8,9,10],[1,4,6,10,12,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,6,9,11,12],[2,6,7,8,9,13],[3,4,6,7,8,11],[3,4,6,9,12,13],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[210]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 211: autom. group order 3, simple
B[211]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,11],[1,4,5,8,10,13],[1,4,6,10,12,13],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,8,10,12],[2,4,9,10,11,12],[2,5,6,8,10,11],[2,5,6,9,12,13],[2,6,7,8,9,13],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,5,7,9,10,12],[4,5,6,8,9,11]];
G[211]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 212: autom. group order 3, simple
B[212]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,8,9,12],[1,4,5,10,12,13],[1,4,6,7,11,13],[1,5,7,8,10,11],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,7,8,9,13],[2,4,5,7,9,13],[2,4,8,10,11,13],[2,4,9,10,11,12],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,7,10,12],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,5,7,10,12,13],[4,5,6,7,9,11]];
G[212]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 213: autom. group order 3, simple, derived
B[213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,8,9,13],[1,4,5,10,12,13],[1,4,6,7,9,11],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,8,9,10,12],[2,3,7,8,10,13],[2,4,5,7,10,12],[2,4,8,9,10,11],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,6,9,12,13],[2,6,7,9,10,13],[3,4,6,7,9,13],[3,4,6,8,12,13],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[3,5,7,9,11,12],[4,5,6,7,10,11]];
G[213]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 214: autom. group order 3, simple, derived
B[214]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,10,13],[1,4,6,7,9,11],[1,5,7,8,11,12],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,10,12],[2,4,8,9,11,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,6,11,12,13],[2,6,7,8,9,10],[3,4,6,7,8,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,8,10,11],[3,5,7,8,9,12],[3,5,7,9,11,13],[4,5,6,7,10,11]];
G[214]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 215: autom. group order 3, simple
B[215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,8,9,13],[1,4,5,8,11,12],[1,4,6,7,10,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,7,8,9,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,10,11,13],[2,6,8,9,12,13],[3,4,6,7,12,13],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[3,5,7,9,11,12],[4,5,6,7,9,11]];
G[215]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 216: autom. group order 3, simple
B[216]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,5,7,8,9,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,9,10],[3,4,8,11,12,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,7,10,11]];
G[216]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 217: autom. group order 3, simple, derived
B[217]:=[[1,2,3,4,5,6],[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],[1,4,5,9,10,13],[1,4,5,10,11,12],[1,4,6,7,12,13],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,6,8,10,11,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,7,8,10,12],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,9,10,12,13],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,9,11,12,13],[3,5,6,8,10,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[217]:=Group([(1,9,13)(2,4,8)(3,11,5)(7,10,12)]);
# Design 218: autom. group order 3, simple
B[218]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,9,12,13],[1,6,7,9,10,11],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,7,10,11,12],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,6,8,10,12,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,8,9,11,13],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,7,10,11]];
G[218]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 219: autom. group order 3, simple
B[219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,9,11,12,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,10,12],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,7,9,10,13],[2,4,5,8,9,12],[2,4,7,10,11,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,8,11,12,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[219]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 220: autom. group order 3, simple, derived
B[220]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,4,6,7,10,12],[1,5,7,10,12,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,7,8,9,12],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,6,9,12,13],[2,6,8,10,11,13],[3,4,6,8,12,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[220]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 221: autom. group order 3, simple, derived
B[221]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,9,10],[1,5,7,8,10,12],[1,6,7,11,12,13],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,8,10,13],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,6,8,9,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,7,8,9,12],[3,5,9,10,11,13],[4,5,6,7,10,11]];
G[221]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 222: autom. group order 3, simple, derived
B[222]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,4,6,7,9,10],[1,5,7,8,10,12],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,7,8,13],[2,5,6,9,12,13],[2,6,8,9,10,11],[3,4,6,8,12,13],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[3,5,8,9,10,12],[4,5,6,7,10,11]];
G[222]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 223: autom. group order 3, simple
B[223]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,13],[1,4,6,7,9,10],[1,5,7,8,10,12],[1,6,7,8,9,12],[1,6,10,11,12,13],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,7,8,11,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,6,8,9,10,11],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,7,9,10,13],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[223]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 224: autom. group order 3, simple, derived
B[224]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,11],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,5,7,9,10,12],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,8,9,12,13],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,6,8,9,12],[2,6,7,10,11,12],[3,4,6,7,9,11],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,5,6,10,12,13],[3,5,7,8,11,12],[3,5,7,9,11,13],[4,5,6,8,9,11]];
G[224]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 225: autom. group order 3, simple
B[225]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,12],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,8,9,10,12],[2,4,9,11,12,13],[2,5,6,7,8,9],[2,5,6,8,12,13],[2,6,7,10,11,12],[3,4,6,7,9,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,10,12,13],[3,5,7,8,11,13],[3,5,7,9,11,12],[4,5,6,8,9,11]];
G[225]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 226: autom. group order 3, simple, derived
B[226]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,10,11],[1,4,6,7,10,13],[1,5,7,8,11,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,4,7,9,11,12],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,8,9,10,13],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,4,9,11,12,13],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,5,7,9,10,12],[4,5,6,8,9,11]];
G[226]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 227: autom. group order 3, simple, derived
B[227]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,4,6,7,10,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,8,11,12],[2,4,7,9,10,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,6,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,9,11,12,13],[3,5,6,7,12,13],[3,5,7,8,9,10],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[227]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 228: autom. group order 3, simple
B[228]:=[[1,2,3,4,5,6],[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],[1,4,5,10,12,13],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,5,7,8,9,10],[1,6,7,8,10,12],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,10,11],[2,4,7,9,10,12],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,6,7,12,13],[2,6,9,10,11,12],[3,4,6,7,10,13],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[228]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 229: autom. group order 3, simple, derived
B[229]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,12],[1,4,5,10,12,13],[1,4,6,7,11,13],[1,5,7,9,10,11],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,9,11,12,13],[2,5,6,7,8,9],[2,5,6,7,12,13],[2,6,8,10,11,12],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,7,8,9,12],[3,5,6,9,12,13],[3,5,7,8,11,13],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[229]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 230: autom. group order 3, simple
B[230]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,8,13],[1,5,7,10,11,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,9,10,13],[2,4,7,10,11,12],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,7,9,12],[2,6,8,10,12,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,7,9,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[3,5,7,8,10,12],[4,5,6,8,9,11]];
G[230]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 231: autom. group order 3, simple
B[231]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,8,9,12],[1,4,5,10,12,13],[1,4,6,9,11,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,7,8,9,13],[2,4,5,7,11,13],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,6,9,10,12,13],[3,4,6,7,10,12],[3,4,6,8,10,13],[3,4,8,11,12,13],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[231]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 232: autom. group order 3, simple, derived
B[232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,11,12,13],[1,3,9,10,11,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,7,8,9,13],[2,4,5,7,10,13],[2,4,8,9,10,12],[2,4,9,11,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,9,12,13],[3,5,7,8,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[232]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 233: autom. group order 3, simple
B[233]:=[[1,2,3,4,5,6],[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],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,7,8,10,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,7,10,12,13],[2,4,5,7,8,9],[2,4,8,10,12,13],[2,4,9,10,11,12],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,9,10,12],[3,5,7,8,11,12],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[233]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 234: autom. group order 3, simple
B[234]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,4,5,7,12,13],[2,4,8,9,10,11],[2,4,8,9,10,12],[2,5,6,7,8,11],[2,5,6,8,9,13],[2,6,10,11,12,13],[3,4,6,7,9,10],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[234]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 235: autom. group order 3, simple
B[235]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,7,10,12,13],[2,4,5,7,8,12],[2,4,8,9,10,11],[2,4,9,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,13],[2,6,8,10,11,12],[3,4,6,7,10,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,8,9,10],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,6,7,10,11]];
G[235]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 236: autom. group order 3, simple, derived
B[236]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,11,12,13],[1,5,7,10,12,13],[1,6,7,8,9,10],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,8,9,10,12],[2,4,9,10,11,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,6,8,10,11,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,5,8,9,11,12],[4,5,6,7,10,11]];
G[236]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 237: autom. group order 3, simple
B[237]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,10],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,7,8,13],[2,4,7,9,10,12],[2,4,9,10,11,12],[2,5,6,7,12,13],[2,5,6,8,9,12],[2,6,8,10,11,13],[3,4,6,7,9,11],[3,4,6,7,10,13],[3,4,8,9,12,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[237]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 238: autom. group order 3, simple
B[238]:=[[1,2,3,4,5,6],[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],[1,4,5,9,12,13],[1,4,5,10,11,13],[1,4,6,10,11,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,7,8,12],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,8,9,11]];
G[238]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 239: autom. group order 3, simple
B[239]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,10,11,12],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,8,10,11,13],[2,4,5,7,8,12],[2,4,7,9,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,8,11,13],[2,6,9,10,12,13],[3,4,6,7,10,13],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,7,9,11,12],[3,5,8,10,11,12],[4,5,6,8,9,11]];
G[239]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 240: autom. group order 3, simple
B[240]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,8,9,10,12],[3,4,6,7,8,10],[3,4,6,9,11,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,5,10,11,12,13],[4,5,6,8,9,11]];
G[240]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 241: autom. group order 3, simple, derived
B[241]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,10,11],[1,4,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,8,9,10,12],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,7,8,10,12],[3,5,9,11,12,13],[4,5,6,8,9,11]];
G[241]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 242: autom. group order 3, simple
B[242]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,5,7,8,10,11],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,8,9,10],[2,4,10,11,12,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,8,9,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,7,8,12,13],[3,5,9,10,11,12],[4,5,6,8,9,11]];
G[242]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 243: autom. group order 3, simple
B[243]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,8,9,10,13],[2,3,7,8,12,13],[2,4,5,8,9,13],[2,4,7,9,10,12],[2,4,10,11,12,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,6,7,8,10,11],[3,4,6,8,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,10,12,13],[3,5,7,8,11,13],[3,5,7,9,11,12],[4,5,6,7,9,12]];
G[243]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 244: autom. group order 3, simple, derived
B[244]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,7,12,13],[1,5,8,10,11,12],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,8,9,13],[2,4,7,10,11,13],[2,4,9,10,11,12],[2,5,6,7,9,12],[2,5,6,8,10,13],[2,6,7,8,10,12],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,8,9,10,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,6,7,9,11]];
G[244]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 245: autom. group order 3, simple
B[245]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,11,13],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,7,8,11,13],[2,4,5,8,9,12],[2,4,7,10,11,12],[2,4,8,9,10,11],[2,5,6,7,9,13],[2,5,6,10,12,13],[2,6,7,8,10,13],[3,4,6,8,12,13],[3,4,6,9,11,13],[3,4,9,10,12,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,7,9,11]];
G[245]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 246: autom. group order 3, simple
B[246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,7,10,13],[1,5,8,11,12,13],[1,6,7,9,11,12],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,4,5,9,12,13],[2,4,7,8,9,11],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,13],[2,6,7,8,10,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[3,5,7,9,10,11],[4,5,6,7,9,11]];
G[246]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 247: autom. group order 3, simple, derived
B[247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,5,8,11,12,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,4,7,9,11,12],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,9,10,11,13],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,5,7,9,10,12],[4,5,6,8,9,11]];
G[247]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 248: autom. group order 3, simple
B[248]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,9,12],[1,4,5,11,12,13],[1,4,6,7,11,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,8,9,11,12],[2,5,6,7,8,13],[2,5,6,7,10,11],[2,6,7,9,12,13],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,9,12,13],[3,5,7,8,9,11],[3,5,7,10,11,12],[4,5,6,8,9,11]];
G[248]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 249: autom. group order 3, simple, derived
B[249]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,9,11],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,10,11,13],[3,5,7,8,9,11],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[249]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 250: autom. group order 3, simple
B[250]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,9,13],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,6,7,8,9,10],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[250]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 251: autom. group order 3, simple, derived
B[251]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,10,11],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,6,10,11,13],[2,6,7,8,9,10],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,6,8,10,13],[3,5,7,9,12,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[251]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 252: autom. group order 3, simple
B[252]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,8,12,13],[1,5,7,10,11,12],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,7,8,11,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,10,12,13],[3,5,7,8,11,12],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[252]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 253: autom. group order 3, simple
B[253]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,8,12,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,7,8,11,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,10,11,12,13],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,10,12,13],[3,5,7,8,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[253]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 254: autom. group order 3, simple
B[254]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,8,12,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[1,6,8,9,10,11],[2,3,7,8,11,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,4,9,10,12,13],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,7,8,9,12],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,10,12,13],[3,5,7,8,9,12],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[254]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 255: autom. group order 3, simple, derived
B[255]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,8,9,11,12],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,6,7,9,10,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,9,11,12,13],[3,5,6,8,10,13],[3,5,7,9,10,12],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[255]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 256: autom. group order 3, simple, derived
B[256]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,9,12],[1,4,5,11,12,13],[1,4,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,8,9,11,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[256]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 257: autom. group order 3, simple, derived
B[257]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,12],[1,4,5,9,12,13],[1,4,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,7,8,9],[2,5,6,8,11,13],[2,6,7,9,12,13],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[257]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 258: autom. group order 3, simple, derived
B[258]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,12,13],[1,4,5,9,11,12],[1,4,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,6,8,9,13],[2,6,7,9,12,13],[3,4,6,7,9,10],[3,4,6,10,11,13],[3,4,8,9,11,13],[3,5,6,10,12,13],[3,5,7,8,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[258]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 259: autom. group order 3, simple, derived
B[259]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,9,12],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,4,8,9,11,13],[2,5,6,7,8,13],[2,5,6,8,9,11],[2,6,7,9,10,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[259]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 260: autom. group order 3, simple, derived
B[260]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,6,8,11,13],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[260]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 261: autom. group order 3, simple, derived
B[261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,12,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,6,8,9,13],[2,6,7,9,10,12],[3,4,6,7,9,10],[3,4,6,10,11,13],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[261]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 262: autom. group order 3, simple
B[262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,6,8,12,13],[1,5,7,8,11,12],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,6,7,8,9,10],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,7,9,11]];
G[262]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 263: autom. group order 3, simple, derived
B[263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,8,12,13],[1,5,7,8,11,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,7,9,12,13],[2,4,8,10,11,12],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,6,10,12,13],[3,5,7,8,10,12],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[263]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 264: autom. group order 3, simple, derived
B[264]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,9,12],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,6,7,8,9,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,8,10,13],[3,5,7,8,10,12],[3,5,9,11,12,13],[4,5,6,7,9,11]];
G[264]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 265: autom. group order 3, simple
B[265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,9,13],[1,4,5,8,11,12],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,7,8,9,12],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,8,9,10,11],[3,5,6,8,10,13],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[265]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 266: autom. group order 3, simple
B[266]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,13],[1,4,5,8,9,12],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,7,11,12,13],[2,4,5,8,12,13],[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],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,8,10,13],[3,5,7,9,10,12],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[266]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 267: autom. group order 3, simple, derived
B[267]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,8,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,6,8,11,13],[2,6,7,8,9,12],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,10,11],[3,5,6,8,10,13],[3,5,7,9,12,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[267]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 268: autom. group order 3, simple, derived
B[268]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,8,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,8,9,12,13],[2,3,8,11,12,13],[2,4,5,8,12,13],[2,4,7,9,10,12],[2,4,7,9,11,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,6,7,8,10,11],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,5,8,10,11,13],[4,5,6,8,9,11]];
G[268]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 269: autom. group order 3, simple
B[269]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,8,11],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,12,13],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,4,8,9,10,12],[2,5,6,8,9,10],[2,5,6,8,11,13],[2,6,7,10,11,13],[3,4,6,8,10,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[269]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 270: autom. group order 3, simple, derived
B[270]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,12],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[1,6,7,9,10,12],[2,3,7,11,12,13],[2,4,5,7,10,13],[2,4,8,9,10,12],[2,4,8,9,11,12],[2,5,6,7,8,9],[2,5,6,8,12,13],[2,6,7,10,11,13],[3,4,6,8,10,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,9,12,13],[3,5,7,8,10,11],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[270]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 271: autom. group order 3, simple
B[271]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,7,11,12],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,8,9],[2,5,6,7,10,13],[2,6,8,10,11,12],[3,4,6,9,10,11],[3,4,6,9,12,13],[3,4,7,8,10,12],[3,5,6,8,12,13],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[271]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 272: autom. group order 3, simple
B[272]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,13],[1,4,5,10,11,12],[1,4,6,8,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,7,11,12,13],[2,4,5,8,10,13],[2,4,7,9,10,12],[2,4,8,9,11,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,6,8,10,11,13],[3,4,6,8,9,10],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[3,5,8,9,11,12],[4,5,6,7,9,11]];
G[272]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 273: autom. group order 3, simple
B[273]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,10,11,13],[1,3,7,8,9,13],[1,4,5,7,11,13],[1,4,5,9,12,13],[1,4,6,10,11,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,8,11,12,13],[2,4,5,7,8,12],[2,4,7,9,10,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,10,13],[2,6,7,9,12,13],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,7,10,11,12],[3,5,8,9,11,12],[4,5,6,8,9,11]];
G[273]:=Group([(1,2,3)(4,5,6)(7,10,12)(8,9,11)]);
# Design 274: autom. group order 3, simple, derived
B[274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,4,6,7,9,11],[1,5,7,8,10,11],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,4,5,8,9,12],[2,4,7,9,10,13],[2,4,7,10,11,12],[2,5,6,7,11,13],[2,5,6,8,10,13],[2,6,8,9,10,11],[3,4,6,8,9,13],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,7,8,9,11],[3,5,9,11,12,13],[4,5,6,7,9,12]];
G[274]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 275: autom. group order 3, simple
B[275]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,7,8,11,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,7,9,11,12],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,6,8,9,10,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,10,11,12,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,5,8,10,11,12],[4,5,6,7,9,12]];
G[275]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 276: autom. group order 3, simple
B[276]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,8,9,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,7,8,10,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,8,11,13],[2,4,5,7,10,12],[2,4,7,9,10,11],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,6,10,11,13],[2,6,8,9,10,12],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,9,11,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[276]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 277: autom. group order 3, simple
B[277]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,8,9,13],[1,4,5,8,11,12],[1,4,6,10,11,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,11,13],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,10,11,13],[2,6,8,9,12,13],[3,4,6,7,12,13],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,8,9,13],[3,5,7,9,11,12],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[277]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 278: autom. group order 3, simple
B[278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,9,11,12,13],[1,3,7,9,10,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,4,6,8,9,11],[1,5,7,8,9,12],[1,6,7,8,10,12],[1,6,7,10,11,13],[2,3,7,8,11,13],[2,4,5,7,10,11],[2,4,7,9,12,13],[2,4,8,9,10,12],[2,5,6,7,8,13],[2,5,6,10,12,13],[2,6,8,9,10,11],[3,4,6,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[278]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 279: autom. group order 3, simple
B[279]:=[[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],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,8,9,10,11],[1,6,7,9,11,12],[1,7,8,9,12,13],[2,3,8,9,12,13],[2,4,5,9,12,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,4,7,10,12,13],[3,5,6,8,10,12],[3,5,6,9,10,13],[3,5,7,8,11,13],[4,5,6,7,8,9]];
G[279]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 280: autom. group order 3, simple
B[280]:=[[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],[1,4,5,11,12,13],[1,4,6,7,11,12],[1,5,8,9,12,13],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,9,10,11],[2,4,6,8,10,12],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,7,10,11,13],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,6,7,8,9]];
G[280]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 281: autom. group order 3, simple, derived
B[281]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,5,9,10,12],[1,4,6,10,11,13],[1,5,7,8,12,13],[1,6,7,8,9,12],[1,8,9,10,11,13],[2,3,7,8,10,13],[2,4,5,8,9,13],[2,4,6,8,11,12],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,6,9,12,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,8,10]];
G[281]:=Group([(1,2,11)(3,12,13)(5,8,10)]);
# Design 282: autom. group order 3, simple
B[282]:=[[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],[1,4,5,7,10,12],[1,4,5,11,12,13],[1,4,6,9,12,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,7,11,12,13],[2,4,5,8,9,13],[2,4,6,10,11,13],[2,4,7,9,10,11],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,6,7,8,12],[3,4,8,9,10,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,9,12,13],[4,5,6,7,9,11]];
G[282]:=Group([(1,3,8)(2,4,7)(5,12,13)(9,10,11)]);
# Design 283: autom. group order 3, simple, derived
B[283]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,9,12,13],[1,5,7,8,11,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,7,8,9,13],[2,4,5,9,10,12],[2,4,6,10,11,13],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,6,7,11,12],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,8,10,13],[3,5,6,9,11,13],[3,5,7,10,11,12],[4,5,6,7,8,9]];
G[283]:=Group([(1,3,12)(2,11,13)(5,7,9)]);
# Design 284: autom. group order 3, simple, derived
B[284]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,8,9,11,12],[2,5,6,10,11,13],[2,5,7,8,9,10],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,6,7,8,13],[3,5,6,8,11,12],[3,5,9,10,11,12],[4,5,6,7,9,12]];
G[284]:=Group([(1,8,13)(3,4,12)(5,11,7)(6,9,10)]);
# Design 285: autom. group order 3, simple, derived
B[285]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,10,12],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,7,8,12,13],[1,6,7,9,12,13],[1,7,8,9,10,11],[2,3,7,8,10,13],[2,4,5,7,11,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,8,10,11,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,9,10,11,13],[4,5,6,7,8,10]];
G[285]:=Group([(1,3,12)(2,11,13)(4,7,5)(6,10,8)]);
# Design 286: autom. group order 3, simple, derived
B[286]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,9],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,11,13],[2,6,7,9,10,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,11,12],[3,5,8,9,10,13],[4,5,6,7,9,12]];
G[286]:=Group([(1,2,8)(3,4,7)(5,13,9)(10,12,11)]);
# Design 287: autom. group order 3, simple
B[287]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,8,9],[1,4,5,7,11,12],[1,4,5,9,10,13],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,7,8,13],[2,4,8,9,10,11],[2,5,6,8,10,11],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,8,9,11,13],[4,5,6,7,9,11]];
G[287]:=Group([(1,2,8)(3,4,7)(5,13,9)(10,12,11)]);
# Design 288: autom. group order 3, simple, derived
B[288]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,5,7,8,9,13],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,7,10,12,13],[2,4,5,8,10,11],[2,4,6,7,8,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,11,12,13],[4,5,6,7,11,12]];
G[288]:=Group([(1,2,8)(3,4,7)(5,13,11)(9,12,10)]);
# Design 289: autom. group order 3, simple
B[289]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,12],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,8,9,10,13],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,7,8,10],[2,4,8,10,11,12],[2,5,6,8,12,13],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,8,10,11,12],[4,5,6,7,11,12]];
G[289]:=Group([(1,2,8)(3,4,7)(5,10,11)(9,12,13)]);
# Design 290: autom. group order 3, simple, derived
B[290]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,5,7,8,9,13],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,7,9,10,13],[2,4,5,8,10,11],[2,4,6,7,8,13],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[2,6,7,9,10,11],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[290]:=Group([(1,2,8)(3,4,7)(5,13,11)(9,12,10)]);
# Design 291: autom. group order 3, simple, derived
B[291]:=[[1,2,3,4,5,6],[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],[1,4,5,9,10,11],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,8,9,10,13],[1,7,8,9,10,12],[2,3,7,9,10,13],[2,4,5,8,9,13],[2,4,6,7,8,10],[2,4,8,10,11,12],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[291]:=Group([(1,2,8)(3,4,7)(5,10,11)(9,12,13)]);
# Design 292: autom. group order 3, simple
B[292]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,8,10,11],[1,4,5,10,12,13],[1,4,6,9,11,12],[1,5,7,8,12,13],[1,6,7,9,10,12],[1,7,8,9,11,13],[2,3,8,9,12,13],[2,4,5,9,11,13],[2,4,7,9,10,12],[2,4,7,11,12,13],[2,5,6,8,11,12],[2,5,6,9,10,13],[2,6,7,8,10,11],[3,4,6,7,10,13],[3,4,6,8,12,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,7,10,11,13],[3,5,8,9,10,12],[4,5,6,7,8,9]];
G[292]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 293: autom. group order 3, simple
B[293]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,8,11,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,7,8,10,13],[1,6,7,9,10,12],[1,7,8,9,11,12],[2,3,8,9,12,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,6,9,10,11],[2,6,7,8,11,13],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,7,11,12,13],[3,5,8,9,10,13],[4,5,6,7,8,9]];
G[293]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 294: autom. group order 3, simple
B[294]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,7,8,11,12],[1,6,7,9,10,11],[1,7,8,9,10,12],[2,3,8,9,12,13],[2,4,5,9,10,11],[2,4,7,9,10,13],[2,4,7,11,12,13],[2,5,6,8,10,12],[2,5,6,9,11,12],[2,6,7,8,11,13],[3,4,6,7,10,12],[3,4,6,8,10,11],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,13],[3,5,8,9,10,13],[4,5,6,7,8,9]];
G[294]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 295: autom. group order 3, simple
B[295]:=[[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],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,7,8,10,12],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,7,9,10,11],[2,4,8,10,12,13],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,8,9,10,12],[3,4,6,7,8,9],[3,4,6,7,10,12],[3,4,9,11,12,13],[3,5,6,10,11,12],[3,5,7,8,11,13],[3,5,7,9,10,13],[4,5,6,8,9,11]];
G[295]:=Group([(1,6,13)(2,9,4)(3,8,12)(7,10,11)]);
# Design 296: autom. group order 3, simple, derived
B[296]:=[[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],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,8,11,12],[1,6,7,8,9,12],[1,8,9,10,11,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,8,9,10],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,6,7,9,10,12],[3,4,6,8,10,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,9,13],[3,5,7,9,10,13],[3,5,8,10,11,12],[4,5,6,7,9,11]];
G[296]:=Group([(1,4,5)(2,12,7)(3,13,11)(6,9,10)]);
# Design 297: autom. group order 3, simple, derived
B[297]:=[[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],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,6,10,12,13],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,7,11,12,13],[2,4,5,7,8,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,6,8,10,12],[2,6,7,9,10,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,8,9,12],[3,5,7,9,10,13],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[297]:=Group([(1,2,8)(3,4,7)(5,13,6)(10,12,11)]);
# Design 298: autom. group order 3, simple, derived
B[298]:=[[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],[1,4,5,7,10,11],[1,4,5,9,12,13],[1,4,6,11,12,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,7,11,12,13],[2,4,5,7,8,13],[2,4,8,9,10,12],[2,4,8,9,11,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,6,7,9,10,13],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,9,12,13],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[298]:=Group([(1,2,8)(3,4,7)(5,13,6)(10,11,12)]);
# Design 299: autom. group order 3, simple
B[299]:=[[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],[1,4,5,7,11,12],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,8,9,11,13],[2,4,8,10,11,12],[2,5,6,7,11,12],[2,5,6,8,9,10],[2,6,7,9,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,9,11,13],[3,5,8,10,12,13],[4,5,6,7,9,10]];
G[299]:=Group([(1,2,8)(3,4,7)(5,13,6)(9,11,10)]);
# Design 300: autom. group order 3, simple
B[300]:=[[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],[1,3,6,7,8,13],[1,4,5,7,10,11],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,4,5,7,8,13],[2,4,8,9,10,11],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,7,10,11,13],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,8,10,12],[3,5,7,9,11,13],[3,5,8,9,11,13],[4,5,6,7,9,12]];
G[300]:=Group([(1,2,8)(3,4,7)(5,13,6)(10,12,11)]);
# Design 301: autom. group order 3, simple
B[301]:=[[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],[1,4,5,7,8,11],[1,4,5,10,12,13],[1,4,7,9,10,12],[1,5,8,11,12,13],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,7,11,12,13],[2,4,5,6,12,13],[2,4,6,9,11,13],[2,4,8,9,10,11],[2,5,7,10,11,12],[2,5,8,9,10,13],[2,6,7,8,10,12],[3,4,6,8,10,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,6,7,9,11]];
G[301]:=Group([(1,7,12)(2,11,8)(3,5,6)(4,10,9)]);
# Design 302: autom. group order 3, simple
B[302]:=[[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],[1,4,5,10,12,13],[1,4,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,8,11,12,13],[2,4,5,6,12,13],[2,4,6,8,9,10],[2,4,7,10,11,13],[2,5,7,9,10,12],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,7,11,12],[3,5,7,8,10,13],[4,5,6,8,9,11]];
G[302]:=Group([(1,4,5)(2,12,8)(3,13,11)(6,10,7)]);
# Design 303: autom. group order 3, simple
B[303]:=[[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],[1,4,5,7,8,11],[1,4,5,10,12,13],[1,4,7,9,12,13],[1,5,8,10,11,12],[1,6,7,9,11,12],[1,6,8,9,10,13],[2,3,8,11,12,13],[2,4,5,6,12,13],[2,4,6,10,11,12],[2,4,7,9,10,11],[2,5,7,9,10,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,7,11,13],[3,5,7,8,10,12],[4,5,6,8,9,11]];
G[303]:=Group([(1,4,5)(2,12,8)(3,13,11)(6,10,7)]);
# Design 304: autom. group order 3, simple
B[304]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,8,9,11,13],[1,4,5,6,10,11],[1,4,5,11,12,13],[1,4,7,9,10,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,4,5,8,12,13],[2,4,6,9,11,12],[2,4,8,9,10,11],[2,5,7,9,10,12],[2,5,7,10,11,13],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[3,5,8,9,10,11],[4,5,6,7,8,9]];
G[304]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 305: autom. group order 3, simple
B[305]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,8,9,11,13],[1,4,5,6,10,12],[1,4,5,11,12,13],[1,4,7,9,12,13],[1,5,8,9,10,13],[1,6,7,8,11,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,8,9,10,12],[2,5,7,9,11,12],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,10,12,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,5,8,9,10,12],[4,5,6,7,8,9]];
G[305]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 306: autom. group order 3, simple
B[306]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,8,9,11,13],[1,4,5,6,11,13],[1,4,5,10,12,13],[1,4,7,9,10,11],[1,5,8,9,11,12],[1,6,7,8,12,13],[1,6,7,9,10,12],[2,3,6,9,12,13],[2,4,5,8,10,12],[2,4,6,9,11,13],[2,4,8,9,11,12],[2,5,7,9,10,13],[2,5,7,11,12,13],[2,6,7,8,10,11],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,7,10,11,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[3,5,8,9,10,13],[4,5,6,7,8,9]];
G[306]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 307: autom. group order 3, simple
B[307]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,8,9,11,13],[1,4,5,6,11,13],[1,4,5,10,12,13],[1,4,7,9,11,12],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,8,9,10,12],[2,5,7,9,10,13],[2,5,7,11,12,13],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,8,12,13],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,12],[3,5,8,9,10,11],[4,5,6,7,8,9]];
G[307]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 308: autom. group order 3, simple
B[308]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,12,13],[1,4,5,6,10,13],[1,4,5,8,11,12],[1,4,7,9,10,13],[1,5,7,10,11,12],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,4,5,8,12,13],[2,4,6,7,9,11],[2,4,8,10,11,13],[2,5,7,8,9,10],[2,5,9,11,12,13],[2,6,7,8,10,12],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,10,11,13],[4,5,6,7,9,12]];
G[308]:=Group([(1,9,10)(2,4,12)(3,7,6)(5,13,8)]);
# Design 309: autom. group order 3, simple
B[309]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,11,12,13],[1,3,9,10,11,13],[1,4,5,6,12,13],[1,4,5,8,9,11],[1,4,8,9,10,12],[1,5,7,8,11,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,4,5,10,12,13],[2,4,6,7,8,10],[2,4,7,9,11,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[309]:=Group([(1,5,12)(3,10,11)(4,13,6)(7,9,8)]);
# Design 310: autom. group order 3, simple, derived
B[310]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,11,12,13],[1,3,9,10,11,13],[1,4,5,6,12,13],[1,4,5,8,9,11],[1,4,8,10,11,13],[1,5,7,8,9,12],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,4,5,10,12,13],[2,4,6,7,8,10],[2,4,7,9,11,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,6,9,10,12],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,6,7,9,11]];
G[310]:=Group([(1,5,12)(3,10,11)(4,13,6)(7,9,8)]);
# Design 311: autom. group order 3, simple, derived
B[311]:=[[1,2,3,4,5,6],[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],[1,4,5,6,9,13],[1,4,5,7,11,12],[1,4,8,10,12,13],[1,5,8,9,11,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,7,9,10,11],[2,5,7,8,12,13],[2,5,8,9,10,11],[2,6,7,9,12,13],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,10,11,12],[3,5,7,8,9,12],[4,5,6,7,8,10]];
G[311]:=Group([(1,11,12)(2,3,13)(4,7,5)(6,10,8)]);
# Design 312: autom. group order 3, simple, derived
B[312]:=[[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],[1,4,5,6,10,13],[1,4,5,8,11,12],[1,4,7,10,11,12],[1,5,8,9,11,13],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,11,12,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,7,8,10,11],[2,5,7,8,12,13],[2,6,8,9,10,11],[3,4,6,7,8,9],[3,4,8,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,12],[3,5,7,9,10,13],[4,5,6,7,9,11]];
G[312]:=Group([(1,4,7)(2,3,8)(5,9,13)(10,11,12)]);
# Design 313: autom. group order 3, simple, derived
B[313]:=[[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],[1,4,5,6,11,13],[1,4,5,8,10,12],[1,4,7,10,11,12],[1,5,8,9,12,13],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,9,11,12],[2,5,7,8,10,12],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,7,8,9],[3,4,8,9,12,13],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,11,12],[3,5,7,9,10,13],[4,5,6,7,9,10]];
G[313]:=Group([(1,4,7)(2,3,8)(5,9,13)(10,12,11)]);
# Design 314: autom. group order 3, simple, derived
B[314]:=[[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],[1,4,5,6,12,13],[1,4,5,8,11,12],[1,4,7,10,11,12],[1,5,8,9,10,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,4,5,9,11,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,7,8,10,11],[2,5,7,8,12,13],[2,6,8,9,11,12],[3,4,6,7,8,9],[3,4,8,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,7,9,10]];
G[314]:=Group([(1,4,7)(2,3,8)(5,9,13)(10,11,12)]);
# Design 315: autom. group order 3, simple, derived
B[315]:=[[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],[1,3,7,11,12,13],[1,4,5,6,11,13],[1,4,5,8,10,12],[1,4,7,10,11,12],[1,5,8,9,11,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,4,7,9,10,11],[2,5,7,8,10,11],[2,5,7,8,12,13],[2,6,8,9,11,12],[3,4,6,7,8,9],[3,4,8,9,11,13],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[3,5,7,9,10,13],[4,5,6,7,9,12]];
G[315]:=Group([(1,4,7)(2,3,8)(5,9,13)(10,11,12)]);
# Design 316: autom. group order 3, simple, derived
B[316]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,8,9,10,12],[1,5,7,8,11,12],[1,6,7,8,10,13],[1,6,9,10,11,12],[2,3,6,8,9,12],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,4,8,10,12,13],[2,5,7,9,11,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,6,7,10,11],[3,4,7,8,9,11],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,6,8,12,13],[3,5,7,10,12,13],[4,5,6,7,9,12]];
G[316]:=Group([(1,11,12)(2,6,7)(3,10,5)(8,13,9)]);
# Design 317: autom. group order 3, simple, derived
B[317]:=[[1,2,3,4,5,6],[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],[1,4,5,6,9,13],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,8,9,10,12],[2,4,5,7,8,11],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,7,9,11,12]];
G[317]:=Group([(1,5,11)(2,6,13)(4,8,12)(7,9,10)]);
# Design 318: autom. group order 3, simple
B[318]:=[[1,2,3,4,5,6],[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],[1,4,5,6,9,13],[1,4,5,8,11,12],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,6,7,8,10,13],[1,6,9,10,12,13],[2,3,8,9,10,12],[2,4,5,7,10,13],[2,4,6,8,12,13],[2,4,6,9,10,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,7,9,11,12]];
G[318]:=Group([(1,5,11)(2,6,13)(4,8,12)(7,9,10)]);
# Design 319: autom. group order 3, simple
B[319]:=[[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],[1,3,7,8,10,13],[1,4,5,6,7,11],[1,4,5,10,12,13],[1,4,7,8,9,12],[1,5,8,9,11,13],[1,6,7,10,12,13],[1,6,8,9,11,12],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,6,9,12,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,10],[3,4,6,7,9,13],[3,4,8,10,11,12],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,6,8,10,12],[4,5,7,9,10,11]];
G[319]:=Group([(1,10,13)(2,4,8)(3,11,5)(6,12,7)]);
# Design 320: autom. group order 3, simple
B[320]:=[[1,2,3,4,5,6],[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],[1,4,5,10,12,13],[1,4,8,9,10,11],[1,5,7,8,9,12],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,7,8,10,12],[2,4,5,8,9,11],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,9,10,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,6,8,11,13],[4,5,7,10,11,12]];
G[320]:=Group([(1,5,11)(2,6,13)(4,8,12)(7,10,9)]);
# Design 321: autom. group order 3, simple
B[321]:=[[1,2,3,4,5,6],[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],[1,4,8,9,10,11],[1,5,7,8,9,12],[1,6,7,10,12,13],[1,6,8,9,10,13],[2,3,7,8,10,12],[2,4,5,9,10,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,5,6,8,11,13],[4,5,7,10,11,12]];
G[321]:=Group([(1,5,11)(2,6,13)(4,8,12)(7,10,9)]);
# Design 322: autom. group order 3, simple
B[322]:=[[1,2,3,4,5,6],[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],[1,4,5,6,10,13],[1,4,5,7,12,13],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,8,10,12],[2,4,5,8,9,11],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,7,8,11,13],[2,5,9,10,12,13],[2,6,7,9,10,13],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,7,9,11,12]];
G[322]:=Group([(1,5,11)(2,6,13)(4,8,12)(7,9,10)]);
# Design 323: autom. group order 3, simple, derived
B[323]:=[[1,2,3,4,5,6],[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],[1,4,5,6,10,12],[1,4,5,7,11,13],[1,4,8,9,10,13],[1,5,7,8,9,12],[1,6,7,8,12,13],[1,6,9,10,11,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,7,8,10,11],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,4,10,11,12,13],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,6,8,12,13],[4,5,7,9,11,12]];
G[323]:=Group([(1,6,12)(2,5,13)(4,8,11)(7,9,10)]);
# Design 324: autom. group order 3, simple
B[324]:=[[1,2,3,4,5,6],[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],[1,4,5,6,10,13],[1,4,5,8,11,12],[1,4,8,9,10,11],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,7,10,12,13],[2,3,7,8,10,12],[2,4,5,7,9,13],[2,4,6,7,10,11],[2,4,6,8,12,13],[2,5,7,8,11,13],[2,5,9,10,12,13],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,8,9,10,13],[3,4,10,11,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,7,9,11,12]];
G[324]:=Group([(1,5,11)(2,6,13)(4,8,12)(7,9,10)]);
# Design 325: autom. group order 3, simple
B[325]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,10,13],[1,3,9,11,12,13],[1,4,5,6,11,13],[1,4,5,8,12,13],[1,4,7,8,9,12],[1,5,8,9,10,11],[1,6,7,8,10,11],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,9,11,12],[2,4,8,9,11,13],[2,5,6,7,11,12],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,8,9],[3,5,6,8,12,13],[3,5,7,9,11,13],[4,5,7,9,10,12]];
G[325]:=Group([(1,4,10)(2,12,11)(3,9,8)(5,7,6)]);
# Design 326: autom. group order 3, simple
B[326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,11,12,13],[1,3,8,9,11,13],[1,4,5,6,10,13],[1,4,5,11,12,13],[1,4,8,9,10,11],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,8,13],[2,4,6,9,10,11],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,10,11,13],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,7,10,12,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[3,5,8,10,11,13],[4,5,7,9,11,12]];
G[326]:=Group([(1,9,12)(2,11,8)(3,4,6)(5,7,10)]);
# Design 327: autom. group order 3, simple, derived
B[327]:=[[1,2,3,4,5,6],[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],[1,4,5,6,8,13],[1,4,5,7,10,12],[1,4,9,10,12,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,10,11],[2,4,7,9,10,13],[2,5,6,7,9,12],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,6,8,9,12],[3,4,6,10,11,12],[3,4,7,8,9,11],[3,5,6,7,9,13],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,7,11,12,13]];
G[327]:=Group([(1,6,12)(2,11,7)(3,10,5)(8,9,13)]);
# Design 328: autom. group order 3, simple
B[328]:=[[1,2,3,4,5,6],[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],[1,4,5,6,10,13],[1,4,5,9,11,12],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,9,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,7,8,9],[2,5,7,10,11,12],[2,6,8,9,11,13],[3,4,6,7,9,12],[3,4,6,8,11,12],[3,4,7,10,11,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,10,11],[4,5,7,9,12,13]];
G[328]:=Group([(1,10,12)(2,11,9)(3,7,4)(6,8,13)]);
# Design 329: autom. group order 3, simple
B[329]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,8,9,11,13],[1,4,5,9,10,11],[1,4,5,10,12,13],[1,4,6,7,12,13],[1,5,6,8,11,12],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,9,12,13],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,4,8,9,12,13],[2,5,7,8,10,12],[2,5,7,11,12,13],[2,6,7,9,10,11],[3,4,6,7,11,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,8,10,13],[4,5,6,7,8,9]];
G[329]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 330: autom. group order 3, simple
B[330]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,8,9,11,13],[1,4,5,9,11,13],[1,4,5,10,12,13],[1,4,6,7,10,11],[1,5,6,8,11,12],[1,6,7,9,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,4,5,9,10,12],[2,4,6,8,11,12],[2,4,8,9,11,13],[2,5,7,8,10,13],[2,5,7,11,12,13],[2,6,7,9,10,11],[3,4,6,7,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,8,10,13],[3,5,6,9,10,11],[3,5,7,8,11,12],[4,5,6,7,8,9]];
G[330]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 331: autom. group order 3, simple, derived
B[331]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,11,12,13],[1,3,9,10,11,13],[1,4,5,7,9,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,7,8,10,12,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,9,11,13],[2,4,9,10,11,12],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,12],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[331]:=Group([(1,4,8)(2,10,9)(3,11,6)(5,12,7)]);
# Design 332: autom. group order 3, simple
B[332]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,4,6,9,10,11],[1,5,6,7,12,13],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,4,5,10,11,13],[2,4,6,7,8,10],[2,4,7,9,12,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,9,11],[4,5,6,7,8,11]];
G[332]:=Group([(1,10,12)(3,5,11)(4,13,6)(7,9,8)]);
# Design 333: autom. group order 3, simple, derived
B[333]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,5,6,7,9,11],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,4,5,10,11,13],[2,4,6,7,8,10],[2,4,7,9,12,13],[2,5,7,9,10,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,12,13],[4,5,6,7,8,11]];
G[333]:=Group([(1,10,12)(3,5,11)(4,13,6)(7,9,8)]);
# Design 334: autom. group order 3, simple, derived
B[334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,7,11,13],[1,4,5,9,10,12],[1,4,6,10,11,13],[1,5,6,8,12,13],[1,6,7,8,9,12],[1,8,9,10,11,13],[2,3,6,8,10,13],[2,4,5,8,9,13],[2,4,6,8,11,12],[2,4,7,10,11,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,6,9,12,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,7,9,11],[3,5,6,10,11,12],[3,5,7,8,11,13],[4,5,6,7,8,10]];
G[334]:=Group([(1,2,11)(3,12,13)(5,8,10)]);
# Design 335: autom. group order 3, simple, derived
B[335]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,4,6,9,11,13],[1,5,6,7,12,13],[1,6,8,9,10,13],[1,7,8,9,10,12],[2,3,6,8,10,13],[2,4,5,8,9,12],[2,4,6,10,12,13],[2,4,9,10,11,12],[2,5,7,8,11,13],[2,5,7,9,10,13],[2,6,7,8,11,12],[3,4,6,7,9,12],[3,4,7,8,9,13],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,9,11,12,13],[4,5,6,8,10,11]];
G[335]:=Group([(1,6,10)(2,12,11)(3,7,4)(8,9,13)]);
# Design 336: autom. group order 3, simple, derived
B[336]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,11],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,6,7,12,13],[1,6,8,9,10,13],[1,7,8,9,10,12],[2,3,6,8,9,13],[2,4,5,8,10,12],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,7,8,11,13],[2,5,7,9,10,13],[2,6,7,8,11,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,10,11,12,13],[4,5,6,8,9,11]];
G[336]:=Group([(1,6,9)(2,12,11)(3,7,4)(8,10,13)]);
# Design 337: autom. group order 3, simple
B[337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,7,10,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,6,8,9,10,11],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,5,7,10,11,12],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,7,8,9,11]];
G[337]:=Group([(1,6,11)(2,5,13)(4,7,12)(8,10,9)]);
# Design 338: autom. group order 3, simple
B[338]:=[[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],[1,3,7,8,10,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,9,12,13],[1,5,6,8,11,12],[1,6,8,9,10,12],[1,7,9,10,11,13],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,8,9],[2,4,6,10,11,13],[2,5,7,9,10,12],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,9,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[4,5,7,8,9,11]];
G[338]:=Group([(1,4,5)(2,12,8)(3,13,11)(6,7,10)]);
# Design 339: autom. group order 3, simple, derived
B[339]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,9,10,12],[1,4,5,8,9,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,6,7,8,10,13],[1,7,8,9,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,7,9,13],[2,4,6,8,10,12],[2,5,7,8,11,12],[2,5,8,9,10,13],[2,6,9,10,11,12],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,7,9,10,11]];
G[339]:=Group([(1,6,11)(2,5,13)(4,7,12)(8,10,9)]);
# Design 340: autom. group order 3, simple
B[340]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,6,7,9,10,13],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,7,8,13],[2,4,6,9,10,12],[2,5,7,10,11,12],[2,5,8,9,10,13],[2,6,8,9,11,12],[3,4,6,8,10,12],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,7,8,9,11]];
G[340]:=Group([(1,6,11)(2,5,13)(4,7,12)(8,10,9)]);
# Design 341: autom. group order 3, simple
B[341]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,5,9,10,11],[1,4,6,10,11,13],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,7,9,10,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,5,7,9,11,12],[2,5,8,9,10,13],[2,6,8,10,11,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,7,8,10,11]];
G[341]:=Group([(1,6,11)(2,5,13)(4,7,12)(8,10,9)]);
# Design 342: autom. group order 3, simple
B[342]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,7,11,13],[1,4,5,9,10,13],[1,4,6,8,9,12],[1,5,6,8,12,13],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,8,9,13],[2,4,5,10,11,12],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,5,7,8,10,12],[2,5,8,9,12,13],[2,6,9,10,11,13],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,9,11,12,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[4,5,7,8,9,11]];
G[342]:=Group([(1,5,11)(2,6,12)(4,7,13)(8,10,9)]);
# Design 343: autom. group order 3, simple, derived
B[343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,7,8,12],[1,4,5,9,10,13],[1,4,6,9,11,13],[1,5,6,8,12,13],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,8,9,13],[2,4,5,10,11,12],[2,4,6,7,12,13],[2,4,6,8,10,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,8,9,10,12],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,4,9,11,12,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[4,5,7,8,9,11]];
G[343]:=Group([(1,5,11)(2,6,12)(4,7,13)(8,10,9)]);
# Design 344: autom. group order 3, simple
B[344]:=[[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],[1,3,8,10,12,13],[1,4,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,5,6,8,9,12],[1,6,7,9,10,12],[1,7,8,9,11,13],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,6,9,10,13],[3,5,7,8,10,11],[4,5,7,10,11,12]];
G[344]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 345: autom. group order 3, simple
B[345]:=[[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],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,7,10,13],[1,5,6,8,9,12],[1,6,7,9,11,12],[1,7,8,9,11,13],[2,3,9,11,12,13],[2,4,5,9,11,13],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,8,9,10],[3,4,6,7,11,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,6,9,10,13],[3,5,7,8,12,13],[4,5,7,10,11,12]];
G[345]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 346: autom. group order 3, simple
B[346]:=[[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],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,5,9,10,13],[1,4,6,7,11,12],[1,5,6,8,9,12],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,9,11,12,13],[2,4,5,9,10,12],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,8,10,12],[3,5,6,9,11,13],[3,5,7,8,10,11],[4,5,7,10,11,12]];
G[346]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 347: autom. group order 3, simple
B[347]:=[[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],[1,3,8,10,12,13],[1,4,5,8,11,12],[1,4,5,9,11,13],[1,4,6,7,12,13],[1,5,6,8,9,10],[1,6,7,9,11,12],[1,7,8,9,10,13],[2,3,9,11,12,13],[2,4,5,9,10,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,6,9,12,13],[3,5,7,8,11,13],[4,5,7,10,11,12]];
G[347]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 348: autom. group order 3, simple, derived
B[348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,11,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,5,6,8,9,12],[1,6,7,8,11,12],[1,7,9,10,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,10,11,12,13],[2,6,7,8,9,10],[3,4,6,9,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,9,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,7,8,9,11]];
G[348]:=Group([(1,2,13)(3,12,10)(5,8,7)]);
# Design 349: autom. group order 3, simple, derived
B[349]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,10,11,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,7,10,13],[1,5,6,8,11,12],[1,6,7,8,9,12],[1,7,9,10,12,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,12,13],[2,4,8,9,10,11],[2,5,6,7,9,10],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,6,9,10,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,7,8,9,11]];
G[349]:=Group([(1,2,13)(3,12,10)(5,8,7)]);
# Design 350: autom. group order 3, simple
B[350]:=[[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],[1,4,5,8,10,13],[1,4,5,8,11,12],[1,4,6,7,9,12],[1,5,7,9,11,13],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,4,5,6,7,13],[2,4,7,10,11,12],[2,4,8,9,12,13],[2,5,7,11,12,13],[2,5,8,9,10,12],[2,6,7,8,9,10],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,4,9,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,9,10,11]];
G[350]:=Group([(1,10,13)(2,4,7)(3,11,5)(6,8,12)]);
# Design 351: autom. group order 3, simple
B[351]:=[[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],[1,3,8,9,11,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,8,11,12],[1,5,7,10,11,13],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,7,8,9,10,11],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,10,12],[4,5,6,7,8,9]];
G[351]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 352: autom. group order 3, simple
B[352]:=[[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],[1,3,8,9,11,13],[1,4,5,8,10,13],[1,4,5,9,11,12],[1,4,6,8,12,13],[1,5,7,11,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,4,5,10,11,13],[2,4,6,7,10,11],[2,4,7,9,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,7,8,9,11,13],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,9,10,13],[3,5,7,8,10,12],[4,5,6,7,8,9]];
G[352]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 353: autom. group order 3, simple, derived
B[353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,6,8,10,12],[1,5,8,10,11,13],[1,6,7,9,10,11],[1,6,8,9,12,13],[2,3,6,8,10,13],[2,4,5,9,10,12],[2,4,6,11,12,13],[2,4,9,10,11,13],[2,5,6,7,8,12],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,8,9,11],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,6,7,10,13]];
G[353]:=Group([(1,7,11)(3,8,13)(4,5,12)]);
# Design 354: autom. group order 3, simple
B[354]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,9,12,13],[1,4,5,7,9,12],[1,4,5,8,10,11],[1,4,6,10,12,13],[1,5,7,8,10,13],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,4,5,11,12,13],[2,4,6,7,8,12],[2,4,9,10,11,13],[2,5,6,9,10,12],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,8,9,13]];
G[354]:=Group([(1,7,9)(3,8,10)(4,12,5)]);
# Design 355: autom. group order 3, simple, derived
B[355]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,8,12,13],[1,5,8,9,10,13],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,6,8,10,13],[2,4,5,7,8,12],[2,4,6,9,10,12],[2,4,9,10,11,13],[2,5,6,11,12,13],[2,5,7,8,11,13],[2,7,8,9,10,12],[3,4,6,7,10,11],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,8,10,11]];
G[355]:=Group([(1,9,11)(3,10,13)(4,12,5)]);
# Design 356: autom. group order 3, simple, derived
B[356]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,6,10,13],[2,4,6,8,9,12],[2,4,8,9,10,12],[2,5,7,8,9,11],[2,5,7,8,11,13],[2,6,9,10,11,13],[3,4,6,7,9,11],[3,4,7,8,10,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,8,12,13],[4,5,7,10,11,12]];
G[356]:=Group([(1,6,13)(2,5,12)(4,8,11)(7,10,9)]);
# Design 357: autom. group order 3, simple, derived
B[357]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,11],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,7,9,10,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,7,8,10,12],[2,4,5,6,10,11],[2,4,6,7,9,13],[2,4,8,9,10,13],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,8,11,13],[3,4,6,7,9,12],[3,4,8,9,10,11],[3,4,10,11,12,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,5,6,8,11,13],[4,5,7,9,11,12]];
G[357]:=Group([(1,5,13)(2,6,11)(4,8,12)(7,9,10)]);
# Design 358: autom. group order 3, simple
B[358]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,6,8,11,13],[1,5,7,8,12,13],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,4,5,6,10,13],[2,4,6,7,8,12],[2,4,8,9,10,12],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,13],[3,4,10,11,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,6,8,12,13],[4,5,7,9,11,12]];
G[358]:=Group([(1,6,13)(2,5,12)(4,8,11)(7,9,10)]);
# Design 359: autom. group order 3, simple
B[359]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,5,9,10,13],[1,4,6,8,11,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,7,10,12,13],[2,4,5,6,7,13],[2,4,6,8,10,12],[2,4,8,9,10,12],[2,5,7,8,9,11],[2,5,8,9,11,13],[2,6,7,10,11,13],[3,4,6,9,10,11],[3,4,7,8,9,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[3,5,6,8,12,13],[4,5,7,10,11,12]];
G[359]:=Group([(1,6,13)(2,5,12)(4,8,11)(7,10,9)]);
# Design 360: autom. group order 3, simple, derived
B[360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,10,11,12,13],[1,4,5,7,9,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,8,9,11,12],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,8,10,12,13],[2,4,5,6,10,12],[2,4,8,9,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,6,7,12,13],[3,4,6,9,10,11],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,7,8,10,12]];
G[360]:=Group([(1,2,11)(3,7,12)(4,6,13)(8,9,10)]);
# Design 361: autom. group order 3, simple, derived
B[361]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,8,9,13],[1,3,10,11,12,13],[1,4,5,7,9,13],[1,4,5,11,12,13],[1,4,6,8,10,11],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,8,9,12,13],[2,4,5,6,10,12],[2,4,8,10,12,13],[2,4,9,10,11,13],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,7,9,11,12],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,6,9,10,12],[3,5,7,8,10,13],[4,5,7,8,9,12]];
G[361]:=Group([(1,2,11)(3,7,12)(4,6,13)(8,9,10)]);
# Design 362: autom. group order 3, simple, derived
B[362]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,11,12,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,4,6,9,10,11],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,6,8,12],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,6,7,10,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,7,9,11,12]];
G[362]:=Group([(1,9,12)(2,4,8)(3,11,6)(5,7,10)]);
# Design 363: autom. group order 3, simple, derived
B[363]:=[[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],[1,3,7,8,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,7,8,12,13],[1,6,7,9,11,12],[1,6,8,9,10,11],[2,3,8,11,12,13],[2,4,5,6,11,13],[2,4,7,9,10,12],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,7,9,10,13],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,10,11,12,13],[4,5,7,8,9,11]];
G[363]:=Group([(1,8,12)(2,9,10)(3,6,4)(5,13,7)]);
# Design 364: autom. group order 3, simple, derived
B[364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,9,12],[1,4,5,8,11,12],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,5,7,8,10,13],[1,6,8,9,10,13],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,4,5,9,10,12],[2,4,6,7,10,11],[2,4,6,8,9,13],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,7,8,10,11,12],[3,4,6,8,10,12],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,6,7,10,12],[3,5,6,7,11,13],[3,5,6,8,9,11],[4,5,7,8,9,11]];
G[364]:=Group([(1,6,13)(2,5,11)(4,7,12)(8,10,9)]);
# Design 365: autom. group order 3, simple, derived
B[365]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,10,13],[2,4,5,7,8,12],[2,4,6,9,10,12],[2,4,6,10,11,12],[2,5,6,8,11,13],[2,5,8,10,11,13],[2,7,8,9,12,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,4,9,11,12,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,7,9,10,11]];
G[365]:=Group([(1,5,12)(2,6,11)(4,7,13)(8,10,9)]);
# Design 366: autom. group order 3, simple
B[366]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,5,8,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,7,8,10,13],[2,4,5,7,9,12],[2,4,6,8,10,12],[2,4,6,10,11,12],[2,5,6,8,11,13],[2,5,8,9,11,13],[2,7,9,10,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,4,9,11,12,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,7,8,10,11]];
G[366]:=Group([(1,5,12)(2,6,11)(4,7,13)(8,10,9)]);
# Design 367: autom. group order 3, simple
B[367]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,4,5,7,10,12],[2,4,6,8,9,12],[2,4,6,10,11,12],[2,5,6,8,11,13],[2,5,9,10,11,13],[2,7,8,10,12,13],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,10,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,7,8,9,11]];
G[367]:=Group([(1,5,12)(2,6,11)(4,7,13)(8,10,9)]);
# Design 368: autom. group order 3, simple
B[368]:=[[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],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,5,9,12,13],[1,4,6,8,11,12],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,7,9,11,13],[2,3,8,11,12,13],[2,4,5,9,11,12],[2,4,6,7,10,13],[2,4,7,9,11,13],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,8,9,10,12],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,5,6,9,10,11],[3,5,7,8,11,13],[4,5,7,10,11,12]];
G[368]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 369: autom. group order 3, simple
B[369]:=[[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],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,5,9,11,13],[1,4,6,8,12,13],[1,5,7,8,11,12],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,8,11,12,13],[2,4,5,9,10,12],[2,4,6,7,12,13],[2,4,7,9,11,13],[2,5,6,8,9,12],[2,5,6,8,10,11],[2,7,8,9,10,13],[3,4,6,7,10,11],[3,4,6,8,9,10],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,9,11,13],[3,5,7,8,10,13],[4,5,7,10,11,12]];
G[369]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 370: autom. group order 3, simple
B[370]:=[[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],[1,3,9,10,12,13],[1,4,5,8,11,13],[1,4,5,9,10,12],[1,4,6,8,12,13],[1,5,7,8,10,13],[1,6,7,8,9,11],[1,6,7,9,11,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,11],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,6,8,10,12],[2,7,8,9,10,13],[3,4,6,7,12,13],[3,4,6,8,9,10],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,7,10,11,12]];
G[370]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 371: autom. group order 3, simple
B[371]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,5,9,11,12],[1,4,6,8,10,11],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,11,13],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,7,8,9,11,12],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,6,9,10,12],[3,5,7,8,10,11],[4,5,7,10,11,12]];
G[371]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 372: autom. group order 3, simple
B[372]:=[[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],[1,3,9,10,12,13],[1,4,5,8,11,12],[1,4,5,9,11,13],[1,4,6,8,10,13],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,7,9,11,12],[2,3,8,11,12,13],[2,4,5,9,10,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,9,11],[2,5,6,8,10,12],[2,7,8,9,11,13],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,9,12,13],[3,5,7,8,10,13],[4,5,7,10,11,12]];
G[372]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 373: autom. group order 3, simple
B[373]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,11,13],[1,3,8,9,12,13],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,8,12,13],[1,5,10,11,12,13],[1,6,7,8,9,10],[1,6,7,8,10,11],[2,3,8,10,11,13],[2,4,5,8,10,13],[2,4,6,7,10,13],[2,4,7,9,11,12],[2,5,6,8,9,12],[2,5,6,8,11,12],[2,7,9,10,12,13],[3,4,6,9,10,12],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,7,9,13],[3,5,6,7,11,13],[3,5,7,8,10,12],[4,5,7,8,9,11]];
G[373]:=Group([(1,2,13)(3,10,12)(5,7,8)]);
# Design 374: autom. group order 3, simple, derived
B[374]:=[[1,2,3,4,5,6],[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],[1,4,5,6,8,12],[1,4,5,9,11,13],[1,4,7,10,12,13],[1,5,7,11,12,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,4,5,10,11,13],[2,4,6,7,9,11],[2,4,6,9,12,13],[2,5,7,8,9,12],[2,5,8,10,11,12],[2,6,7,8,11,13],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,7,8,10]];
G[374]:=Group([(2,7,10)(3,12,9)(4,13,8)(5,11,6)]);
# Design 375: autom. group order 3, simple
B[375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,11,12],[1,4,5,6,9,13],[1,4,5,7,12,13],[1,4,8,9,10,11],[1,5,8,10,12,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,4,5,8,11,12],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,7,8,10,12],[2,5,7,9,11,13],[2,6,7,9,12,13],[3,4,7,8,9,13],[3,4,7,9,10,12],[3,4,10,11,12,13],[3,5,6,7,8,11],[3,5,6,9,10,12],[3,5,8,9,11,13],[4,5,6,7,10,11]];
G[375]:=Group([(1,10,12)(2,4,6)(3,11,9)(5,13,8)]);
# Design 376: autom. group order 3, simple, derived
B[376]:=[[1,2,3,4,5,6],[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],[1,4,5,6,10,11],[1,4,5,9,12,13],[1,4,7,10,11,13],[1,5,7,8,12,13],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,6,8,10,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,6,9,12,13],[2,5,7,8,10,12],[2,5,9,10,11,12],[2,6,7,9,11,13],[3,4,7,10,11,12],[3,4,8,9,10,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,11,12],[3,5,7,9,10,13],[4,5,6,7,8,9]];
G[376]:=Group([(1,3,12)(2,11,13)(4,8,5)(6,9,7)]);
# Design 377: autom. group order 3, simple
B[377]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,9,11,13],[1,4,5,6,10,11],[1,4,5,8,12,13],[1,4,7,10,11,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,6,9,11,12],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,6,9,10,12],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,11,12,13],[3,5,8,9,10,11],[4,5,6,7,8,9]];
G[377]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 378: autom. group order 3, simple
B[378]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,9,11,13],[1,4,5,6,10,12],[1,4,5,8,12,13],[1,4,7,11,12,13],[1,5,8,9,10,11],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,7,11,13],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,10,12,13],[3,5,8,9,12,13],[4,5,6,7,8,9]];
G[378]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 379: autom. group order 3, simple
B[379]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,9,11,13],[1,4,5,6,10,12],[1,4,5,8,11,13],[1,4,7,11,12,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,8,12,13],[2,4,5,10,11,13],[2,4,6,9,11,12],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,7,10,12,13],[3,5,8,9,10,11],[4,5,6,7,8,9]];
G[379]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 380: autom. group order 3, simple
B[380]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,9,11,13],[1,4,5,6,11,12],[1,4,5,8,10,13],[1,4,7,11,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,6,9,10,13],[3,4,7,8,10,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,8,9]];
G[380]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 381: autom. group order 3, simple
B[381]:=[[1,2,3,4,5,6],[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],[1,4,5,6,12,13],[1,4,5,9,11,12],[1,4,7,8,9,10],[1,5,7,8,12,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,9,12,13],[2,4,5,8,10,13],[2,4,6,7,10,12],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[381]:=Group([(1,3,10)(2,5,9)(4,12,13)(6,8,11)]);
# Design 382: autom. group order 3, simple, derived
B[382]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,9,10,11,13],[1,3,6,8,9,13],[1,4,5,6,11,13],[1,4,5,8,9,12],[1,4,8,10,11,13],[1,5,7,10,11,12],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,6,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,11],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,9,10,12],[3,5,7,8,10,13],[3,5,8,11,12,13],[4,5,6,7,9,11]];
G[382]:=Group([(1,3,12)(2,11,7)(4,13,10)(5,8,6)]);
# Design 383: autom. group order 3, simple, derived
B[383]:=[[1,2,3,4,5,6],[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],[1,4,5,6,11,12],[1,4,5,8,10,13],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[1,6,8,9,11,13],[2,3,6,8,9,13],[2,4,5,8,9,12],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,7,10,11,13],[2,6,7,8,10,12],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,10,11,12],[3,5,7,8,12,13],[3,5,8,9,10,11],[4,5,6,7,9,13]];
G[383]:=Group([(1,6,7)(2,12,5)(3,10,13)(4,8,9)]);
# Design 384: autom. group order 3, simple
B[384]:=[[1,2,3,4,5,6],[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],[1,4,5,6,7,12],[1,4,5,9,11,13],[1,4,8,10,12,13],[1,5,7,8,10,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,6,8,10,12],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,10,11,13],[3,4,6,8,9,11],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,7,9,10,11],[3,5,8,9,12,13],[4,5,6,10,11,12]];
G[384]:=Group([(1,4,9)(2,12,6)(3,10,8)(5,13,11)]);
# Design 385: autom. group order 3, simple
B[385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,6,11,13],[1,4,5,8,10,12],[1,4,7,9,10,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,8,11,12],[2,3,8,11,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,4,6,9,10,12],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,10,13],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,10],[3,5,8,9,10,11],[4,5,7,10,11,12]];
G[385]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 386: autom. group order 3, simple
B[386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,6,12,13],[1,4,5,8,10,11],[1,4,7,9,12,13],[1,5,8,9,11,12],[1,6,7,8,9,11],[1,6,7,8,10,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,6,7,8,10,12],[3,4,6,9,10,11],[3,4,7,8,11,13],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,8,9,10],[3,5,8,9,12,13],[4,5,7,10,11,12]];
G[386]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 387: autom. group order 3, simple
B[387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,6,11,13],[1,4,5,8,11,12],[1,4,7,9,12,13],[1,5,8,9,10,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,4,6,9,10,11],[2,5,6,7,10,12],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,8,10,13],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,6,8,9,10],[3,5,8,9,11,12],[4,5,7,10,11,12]];
G[387]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 388: autom. group order 3, simple
B[388]:=[[1,2,3,4,5,6],[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],[1,4,5,6,11,13],[1,4,5,8,9,12],[1,4,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,11],[1,6,8,10,12,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,6,8,12,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,7,9,11,13],[3,4,6,9,11,12],[3,4,7,8,9,13],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,7,10,11,12]];
G[388]:=Group([(1,7,11)(2,12,9)(3,5,6)(4,10,8)]);
# Design 389: autom. group order 3, simple, derived
B[389]:=[[1,2,3,4,5,6],[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],[1,4,5,6,8,13],[1,4,5,10,11,12],[1,4,9,10,11,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,8,9,10,13],[2,4,5,8,9,12],[2,4,6,7,10,12],[2,4,6,9,11,13],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,8,10,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,4,8,11,12,13],[3,5,6,8,9,11],[3,5,6,10,11,12],[3,5,7,9,12,13],[4,5,7,9,10,13]];
G[389]:=Group([(1,7,10)(2,5,12)(3,13,6)(4,9,8)]);
# Design 390: autom. group order 3, simple
B[390]:=[[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],[1,3,6,10,11,13],[1,4,5,6,7,12],[1,4,5,11,12,13],[1,4,9,10,12,13],[1,5,7,8,9,10],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,7,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,11],[2,4,6,9,10,13],[2,5,6,8,9,12],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,7,9,10,11]];
G[390]:=Group([(1,3,8)(2,4,7)(5,12,13)(6,10,11)]);
# Design 391: autom. group order 3, simple, derived
B[391]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,10,13],[1,3,6,9,11,13],[1,4,5,7,11,13],[1,4,5,9,10,12],[1,4,6,10,12,13],[1,5,6,8,11,12],[1,6,7,8,10,11],[1,7,8,9,12,13],[2,3,6,8,12,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,5,7,8,10,12],[2,5,9,11,12,13],[2,6,7,9,10,11],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[3,5,7,10,11,13],[4,5,6,7,8,9]];
G[391]:=Group([(1,6,13)(2,7,5)(3,9,11)]);
# Design 392: autom. group order 3, simple, derived
B[392]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,11,13],[1,3,6,9,12,13],[1,4,5,7,12,13],[1,4,5,9,10,11],[1,4,6,10,11,13],[1,5,6,8,10,12],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,5,7,8,10,11],[2,5,9,11,12,13],[2,6,7,9,10,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,7,10,12,13],[4,5,6,7,8,9]];
G[392]:=Group([(1,6,13)(2,7,5)(3,9,12)]);
# Design 393: autom. group order 3, simple, derived
B[393]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,6,8,9,12],[1,6,7,8,11,12],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,5,7,8,10,11],[2,5,10,11,12,13],[2,6,7,8,9,10],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[3,5,7,8,9,13],[4,5,6,7,9,11]];
G[393]:=Group([(1,2,13)(3,12,10)(5,6,7)]);
# Design 394: autom. group order 3, simple, derived
B[394]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,13],[1,4,5,9,11,12],[1,4,6,8,10,13],[1,5,6,8,11,12],[1,6,7,8,9,12],[1,7,9,10,12,13],[2,3,6,9,12,13],[2,4,5,8,12,13],[2,4,6,7,12,13],[2,4,6,9,10,11],[2,5,7,8,9,10],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,5,7,8,11,13],[4,5,6,7,9,11]];
G[394]:=Group([(1,2,13)(3,12,10)(5,6,7)]);
# Design 395: autom. group order 3, simple, derived
B[395]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,8,9,10,13],[1,3,6,9,11,13],[1,4,5,8,11,13],[1,4,5,10,11,12],[1,4,6,7,10,13],[1,5,6,8,9,12],[1,6,7,8,10,12],[1,7,9,11,12,13],[2,3,6,11,12,13],[2,4,5,7,12,13],[2,4,6,9,10,11],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,8,10,11],[3,4,6,8,9,12],[3,4,7,8,9,13],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,7,9,10,12],[3,5,8,10,11,13],[4,5,6,7,9,11]];
G[395]:=Group([(1,5,9)(2,3,10)(4,7,13)(6,12,8)]);
# Design 396: autom. group order 3, simple, derived
B[396]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,9,12,13],[1,5,6,8,11,13],[1,6,7,9,10,11],[1,8,9,10,12,13],[2,3,6,8,9,13],[2,4,5,9,10,12],[2,4,6,10,11,13],[2,4,7,10,11,13],[2,5,6,9,11,12],[2,5,7,8,12,13],[2,6,7,8,10,12],[3,4,6,8,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,5,8,10,11,12],[4,5,6,7,8,9]];
G[396]:=Group([(1,3,12)(2,11,13)(5,8,9)]);
# Design 397: autom. group order 3, simple, derived
B[397]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,10,11],[1,3,6,7,8,12],[1,4,5,7,11,12],[1,4,5,8,9,13],[1,4,6,9,12,13],[1,5,6,10,11,13],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,8,10,11,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,9,12,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,7,9,10,12],[3,5,8,9,11,12],[4,5,6,7,8,10]];
G[397]:=Group([(1,11,12)(2,3,13)(4,7,5)(6,10,8)]);
# Design 398: autom. group order 3, simple
B[398]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,5,9,12,13],[1,4,6,7,10,11],[1,5,6,8,11,12],[1,6,7,8,9,12],[1,7,8,9,11,13],[2,3,8,11,12,13],[2,4,5,9,11,12],[2,4,6,8,9,10],[2,4,6,8,12,13],[2,5,6,7,11,13],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,6,7,11,13],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,8,9,11],[3,5,6,9,10,13],[3,5,7,8,10,12],[4,5,7,10,11,12]];
G[398]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 399: autom. group order 3, simple
B[399]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,8,10,13],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,5,6,8,12,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,8,11,12,13],[2,4,5,9,10,12],[2,4,6,8,9,12],[2,4,6,8,10,11],[2,5,6,7,11,13],[2,5,7,8,12,13],[2,6,7,9,10,13],[3,4,6,7,10,13],[3,4,7,9,12,13],[3,4,8,9,11,13],[3,5,6,8,9,10],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,7,10,11,12]];
G[399]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 400: autom. group order 3, simple
B[400]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,5,9,11,13],[1,4,6,7,11,12],[1,5,6,8,10,11],[1,6,7,8,9,12],[1,7,8,9,10,13],[2,3,8,11,12,13],[2,4,5,9,10,12],[2,4,6,8,9,10],[2,4,6,8,11,13],[2,5,6,7,10,13],[2,5,7,8,12,13],[2,6,7,9,11,12],[3,4,6,7,10,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,6,9,12,13],[3,5,7,8,10,11],[4,5,7,10,11,12]];
G[400]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 401: autom. group order 3, simple
B[401]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,6,10,12,13],[1,4,5,8,11,13],[1,4,5,9,11,12],[1,4,6,7,12,13],[1,5,6,8,10,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,8,11,12,13],[2,4,5,9,10,13],[2,4,6,8,9,12],[2,4,6,8,10,11],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,6,8,9,10],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,7,10,11,12]];
G[401]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 402: autom. group order 3, simple, derived
B[402]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,5,9,10,13],[1,4,6,8,9,12],[1,5,6,10,11,13],[1,6,8,9,12,13],[1,7,8,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,5,6,7,12,13],[2,5,8,9,10,12],[2,6,7,9,10,11],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,6,7,8,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[4,5,7,8,10,12]];
G[402]:=Group([(1,6,12)(2,11,5)(3,10,7)]);
# Design 403: autom. group order 3, simple
B[403]:=[[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],[1,3,6,7,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,9,12,13],[1,5,6,8,11,12],[1,6,8,9,10,13],[1,7,9,10,11,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,9,11],[2,4,6,10,11,12],[2,5,6,7,9,13],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,5,6,10,11,13],[3,5,7,9,10,12],[4,5,7,8,9,11]];
G[403]:=Group([(1,4,5)(2,12,8)(3,13,11)(6,7,10)]);
# Design 404: autom. group order 3, simple, derived
B[404]:=[[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],[1,3,6,7,10,13],[1,4,5,8,12,13],[1,4,5,9,12,13],[1,4,6,7,11,12],[1,5,6,8,10,11],[1,6,7,9,10,13],[1,8,9,10,11,12],[2,3,10,11,12,13],[2,4,5,7,10,11],[2,4,6,9,11,13],[2,4,6,10,12,13],[2,5,6,8,10,12],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,11,13],[3,5,7,11,12,13],[4,5,7,9,10,11]];
G[404]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,12,11)]);
# Design 405: autom. group order 3, simple
B[405]:=[[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],[1,3,6,7,10,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,10,11,12],[1,5,6,7,12,13],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,6,7,8,10],[2,5,7,9,11,13],[2,6,8,9,10,12],[3,4,6,8,9,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,7,9,10,11]];
G[405]:=Group([(1,4,5)(2,10,12)(3,11,13)(6,8,9)]);
# Design 406: autom. group order 3, simple
B[406]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,8,11,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,9,10,11],[1,5,7,9,10,13],[1,6,7,8,12,13],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,4,5,6,12,13],[2,4,7,9,11,12],[2,4,7,10,11,13],[2,5,6,8,10,11],[2,5,8,9,11,13],[2,6,7,8,10,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,8,9]];
G[406]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 407: autom. group order 3, simple
B[407]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,8,11,13],[1,4,5,8,10,12],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,7,9,12,13],[1,6,7,8,11,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,4,5,6,11,13],[2,4,7,9,11,12],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,8,9,10,11],[2,6,7,8,12,13],[3,4,6,9,10,12],[3,4,7,8,10,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,7,10,12,13],[3,5,8,9,11,13],[4,5,6,7,8,9]];
G[407]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 408: autom. group order 3, simple
B[408]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,8,11,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,5,7,9,10,11],[1,6,7,8,10,12],[1,6,7,9,12,13],[2,3,6,9,12,13],[2,4,5,6,10,12],[2,4,7,9,11,13],[2,4,7,10,12,13],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,6,9,10,11],[3,4,7,8,11,12],[3,4,8,9,10,13],[3,5,6,7,10,13],[3,5,7,11,12,13],[3,5,8,9,10,12],[4,5,6,7,8,9]];
G[408]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 409: autom. group order 3, simple
B[409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,9,10,13],[1,3,6,8,11,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,4,6,9,12,13],[1,5,7,9,11,12],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,4,5,6,10,11],[2,4,7,9,10,13],[2,4,7,11,12,13],[2,5,6,8,10,12],[2,5,8,9,11,12],[2,6,7,8,11,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,10,11,13],[3,5,8,9,10,13],[4,5,6,7,8,9]];
G[409]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 410: autom. group order 3, simple
B[410]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,9,10,11,13],[1,3,6,9,12,13],[1,4,5,8,9,13],[1,4,5,10,11,12],[1,4,6,7,8,10],[1,5,7,11,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,8,11,13],[2,4,5,6,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,9,10,12],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,7,8,10,13],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[410]:=Group([(1,5,9)(2,3,10)(4,8,13)(6,12,11)]);
# Design 411: autom. group order 3, simple, derived
B[411]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,9,11,12,13],[1,3,6,8,9,13],[1,4,5,7,9,13],[1,4,5,10,11,12],[1,4,6,8,10,11],[1,5,8,10,12,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,10,12,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,6,8,11,13],[3,5,7,8,9,10],[4,5,6,7,9,12]];
G[411]:=Group([(1,9,13)(2,4,8)(3,12,5)(6,11,7)]);
# Design 412: autom. group order 3, simple, derived
B[412]:=[[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],[1,3,6,8,11,13],[1,4,5,7,8,12],[1,4,5,9,10,13],[1,4,6,8,10,12],[1,5,7,10,11,13],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,7,8,10,13],[2,4,5,6,11,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,5,8,9,11,12],[2,5,8,10,12,13],[2,6,7,8,9,10],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,7,8,9,11]];
G[412]:=Group([(1,7,10)(2,6,4)(3,9,12)(5,13,11)]);
# Design 413: autom. group order 3, simple
B[413]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,4,6,8,9,12],[1,5,7,9,10,13],[1,6,7,8,11,12],[1,6,7,9,11,13],[2,3,9,11,12,13],[2,4,5,6,11,13],[2,4,6,7,10,13],[2,4,7,9,11,12],[2,5,6,8,12,13],[2,5,8,9,10,12],[2,6,7,8,9,10],[3,4,6,9,10,11],[3,4,7,8,12,13],[3,4,8,9,10,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,7,10,11,12]];
G[413]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 414: autom. group order 3, simple
B[414]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,6,10,12,13],[1,4,5,8,11,13],[1,4,5,9,10,13],[1,4,6,8,9,12],[1,5,7,9,11,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,5,6,10,12],[2,4,6,7,11,13],[2,4,7,9,12,13],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,8,9,10],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,6,8,9,11],[3,5,7,8,12,13],[4,5,7,10,11,12]];
G[414]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 415: autom. group order 3, simple
B[415]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,5,9,11,13],[1,4,6,8,9,10],[1,5,7,9,12,13],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,9,11,12,13],[2,4,5,6,10,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,6,9,11,13],[3,4,7,8,11,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[4,5,7,10,11,12]];
G[415]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 416: autom. group order 3, simple, derived
B[416]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,4,6,7,9,13],[1,5,7,8,10,12],[1,6,8,9,10,13],[1,6,8,9,11,12],[2,3,8,10,12,13],[2,4,5,6,9,12],[2,4,6,8,10,11],[2,4,7,8,9,10],[2,5,6,7,11,13],[2,5,8,9,11,13],[2,6,7,10,12,13],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,6,9,10,12],[3,5,7,8,9,11],[4,5,7,10,11,12]];
G[416]:=Group([(1,6,11)(2,13,4)(3,7,10)(8,12,9)]);
# Design 417: autom. group order 3, simple
B[417]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,9,10,12,13],[1,4,5,6,10,12],[1,4,5,8,11,13],[1,4,6,7,10,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,9,11,12],[2,3,6,11,12,13],[2,4,5,9,11,13],[2,4,6,8,9,12],[2,4,8,9,10,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,8,9,10],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,7,10,11,12]];
G[417]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 418: autom. group order 3, simple
B[418]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,9,10,12,13],[1,4,5,6,10,13],[1,4,5,8,11,13],[1,4,6,7,11,12],[1,5,8,9,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,11,12,13],[2,4,5,9,10,12],[2,4,6,8,9,10],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,6,9,11,13],[3,4,7,8,12,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[3,5,7,8,10,11],[4,5,7,10,11,12]];
G[418]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 419: autom. group order 3, simple
B[419]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,9,10,12,13],[1,4,5,6,11,13],[1,4,5,8,10,12],[1,4,6,7,12,13],[1,5,8,9,11,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,11,12,13],[2,4,5,9,10,13],[2,4,6,8,9,12],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,7,9,12,13],[2,6,7,8,10,12],[3,4,6,9,10,11],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,8,9,10],[3,5,6,8,12,13],[3,5,7,8,11,13],[4,5,7,10,11,12]];
G[419]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 420: autom. group order 3, simple
B[420]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,8,10,11,13],[1,3,9,10,12,13],[1,4,5,6,11,12],[1,4,5,8,12,13],[1,4,6,7,10,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[1,6,7,9,11,13],[2,3,6,11,12,13],[2,4,5,9,11,13],[2,4,6,8,9,10],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,9,10,12],[2,6,7,8,11,12],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,8,12,13],[4,5,7,10,11,12]];
G[420]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 421: autom. group order 3, simple
B[421]:=[[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],[1,4,5,6,8,13],[1,4,5,9,12,13],[1,4,6,7,11,12],[1,5,8,10,11,12],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,4,9,11,12,13],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,6,7,12,13],[3,5,8,11,12,13],[4,5,7,9,10,11]];
G[421]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,12,11)]);
# Design 422: autom. group order 3, simple
B[422]:=[[1,2,3,4,5,6],[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],[1,4,5,6,10,11],[1,4,5,9,12,13],[1,4,6,7,8,12],[1,5,7,8,11,13],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,7,11,13],[2,4,5,8,11,12],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,7,8,9],[2,5,7,10,12,13],[2,6,8,9,11,12],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,8,10,13],[3,5,6,9,11,12],[3,5,7,8,10,12],[4,5,7,9,11,13]];
G[422]:=Group([(1,10,13)(2,12,9)(3,7,4)(6,8,11)]);
# Design 423: autom. group order 3, simple
B[423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,8,10,12,13],[1,4,5,6,10,12],[1,4,5,8,11,13],[1,4,6,9,11,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,11,12,13],[2,4,5,9,10,13],[2,4,7,8,10,11],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,6,7,8,10,12],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,4,8,9,12,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[3,5,8,9,10,11],[4,5,7,10,11,12]];
G[423]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 424: autom. group order 3, simple
B[424]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,8,10,12,13],[1,4,5,6,11,13],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,7,8,11,12],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,6,11,12,13],[2,4,5,9,10,12],[2,4,7,8,12,13],[2,4,7,9,11,13],[2,5,6,8,9,12],[2,5,6,8,10,11],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,8,9,10],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,9,10,13],[3,5,8,9,11,13],[4,5,7,10,11,12]];
G[424]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 425: autom. group order 3, simple
B[425]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,9,10,11,13],[1,3,8,10,12,13],[1,4,5,6,12,13],[1,4,5,8,11,13],[1,4,6,9,10,11],[1,5,7,8,11,12],[1,6,7,8,9,10],[1,6,7,9,12,13],[2,3,6,11,12,13],[2,4,5,9,10,12],[2,4,7,8,10,13],[2,4,7,9,12,13],[2,5,6,8,9,11],[2,5,6,8,10,13],[2,6,7,8,11,12],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,8,9,11,13],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,5,8,9,10,12],[4,5,7,10,11,12]];
G[425]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 426: autom. group order 3, simple
B[426]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,7,9,11,12],[1,3,8,9,10,11],[1,4,5,6,11,13],[1,4,5,7,8,13],[1,4,6,9,10,12],[1,5,7,8,10,12],[1,6,7,9,11,13],[1,6,8,10,12,13],[2,3,6,8,12,13],[2,4,5,10,11,12],[2,4,7,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,9],[2,5,6,9,10,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,7,10,12,13],[3,5,8,9,11,13],[4,5,8,9,11,12]];
G[426]:=Group([(1,7,12)(2,11,9)(3,6,4)(5,10,8)]);
# Design 427: autom. group order 3, simple
B[427]:=[[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],[1,4,5,8,11,13],[1,4,5,9,12,13],[1,4,6,7,11,12],[1,5,6,8,10,12],[1,6,7,9,10,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,4,5,6,7,10],[2,4,6,9,12,13],[2,4,10,11,12,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,4,8,9,10,13],[3,5,6,7,11,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,7,9,10,11]];
G[427]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,12,11)]);
# Design 428: autom. group order 3, simple, derived
B[428]:=[[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,5,11,12,13],[1,4,6,7,10,12],[1,5,6,8,9,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,4,5,9,12,13],[2,4,6,7,9,11],[2,4,6,10,12,13],[2,5,6,7,8,11],[2,5,7,8,12,13],[2,8,9,10,11,12],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,4,8,10,11,13],[3,5,6,7,10,12],[3,5,6,8,11,12],[3,5,7,9,10,13],[4,5,7,9,10,11]];
G[428]:=Group([(1,4,7)(2,3,8)(5,9,13)(6,12,10)]);
# Design 429: autom. group order 3, simple, derived
B[429]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,6,7,9,12],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,5,8,10,11,12],[1,6,8,9,11,12],[2,3,9,11,12,13],[2,4,5,8,9,11],[2,4,6,10,12,13],[2,4,7,8,10,11],[2,5,6,8,9,13],[2,5,7,11,12,13],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,7,9,10,12],[3,6,7,8,9,13],[4,5,6,7,9,11]];
G[429]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 430: autom. group order 3, simple, derived
B[430]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[430]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 431: autom. group order 3, simple, derived
B[431]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[431]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 432: autom. group order 3, simple, derived
B[432]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[432]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 433: autom. group order 3, simple
B[433]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,10],[1,4,7,8,9,12],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,6,9,10,11,13],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,6,7,10,13],[2,4,8,11,12,13],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,9,11,13],[3,4,6,10,12,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,7,8,10,13],[3,6,7,9,11,12],[4,5,6,7,9,12]];
G[433]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 434: autom. group order 3, simple, derived
B[434]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[434]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 435: autom. group order 3, simple, derived
B[435]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[435]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 436: autom. group order 3, simple, derived
B[436]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[436]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 437: autom. group order 3, simple
B[437]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,12],[1,4,6,8,10,13],[1,4,7,10,11,12],[1,5,6,9,11,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,8,9,11,12],[2,5,6,8,10,12],[2,5,7,8,10,11],[2,6,7,8,9,13],[3,4,5,8,10,13],[3,4,6,8,9,11],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,10,11]];
G[437]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 438: autom. group order 3, simple, derived
B[438]:=[[1,2,3,4,5,6],[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],[1,4,6,9,11,13],[1,4,7,8,9,10],[1,5,6,8,10,13],[1,5,8,10,11,12],[1,6,8,9,12,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,7,8,9],[2,5,9,10,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,9,11,13],[3,6,7,8,11,12],[4,5,6,7,9,12]];
G[438]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 439: autom. group order 3, simple, derived
B[439]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[439]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 440: autom. group order 3, simple, derived
B[440]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[440]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 441: autom. group order 3, simple, derived
B[441]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[441]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 442: autom. group order 3, simple, derived
B[442]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[442]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 443: autom. group order 3, simple, derived
B[443]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[443]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 444: autom. group order 3, simple, derived
B[444]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,7,8,12,13],[1,5,6,8,9,12],[1,5,8,9,10,13],[1,6,10,11,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[444]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 445: autom. group order 3, simple, derived
B[445]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,13],[1,4,7,9,10,11],[1,5,6,8,11,13],[1,5,8,10,11,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,8,10,13],[2,4,7,11,12,13],[2,5,6,7,9,10],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,9,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,7,8,9,13],[3,6,7,8,10,12],[4,5,6,7,9,12]];
G[445]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 446: autom. group order 3, simple, derived
B[446]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,6,7,8,12],[1,5,9,10,12,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,9,10],[2,4,8,10,11,12],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,11,12,13],[3,4,5,9,11,12],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[446]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 447: autom. group order 3, simple
B[447]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,12],[1,4,6,8,9,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,11,12],[1,6,9,10,11,12],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,7,9,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,10,11],[3,5,7,9,11,13],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[447]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 448: autom. group order 3, simple
B[448]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,11],[1,4,6,8,10,13],[1,4,8,9,10,12],[1,5,6,7,12,13],[1,5,8,9,11,12],[1,6,9,10,11,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,9,13],[2,4,8,11,12,13],[2,5,6,8,9,10],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,10,13],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[448]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 449: autom. group order 3, simple, derived
B[449]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,6,11,12],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,7,9,12],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,9,10,11,13],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[449]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 450: autom. group order 3, simple, derived
B[450]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,12],[1,4,6,8,11,13],[1,4,8,9,10,11],[1,5,6,7,8,13],[1,5,8,9,11,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,7,9,11],[2,5,8,10,11,12],[2,6,7,8,10,12],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,10,11,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[450]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 451: autom. group order 3, simple, derived
B[451]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,11,13],[1,5,8,9,11,12],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,11,12,13],[2,5,6,7,9,10],[2,5,8,10,11,12],[2,6,7,8,10,12],[3,4,5,10,12,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[451]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 452: autom. group order 3, simple, derived
B[452]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[452]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 453: autom. group order 3, simple, derived
B[453]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[453]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 454: autom. group order 3, simple, derived
B[454]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[454]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 455: autom. group order 3, simple, derived
B[455]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[455]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 456: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,8,9,10],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,8,9,10,11],[3,5,6,7,12,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[456]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 457: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,7,10,13],[1,4,6,8,9,10],[1,4,8,10,11,12],[1,5,6,9,12,13],[1,5,7,8,11,12],[1,6,8,9,11,13],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,7,11,13],[2,4,9,10,11,12],[2,5,6,7,8,12],[2,5,8,10,12,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,8,12,13],[3,4,7,9,12,13],[3,5,6,10,11,13],[3,5,7,8,9,11],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[457]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 458: autom. group order 3, 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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,7,9,12],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,11,12,13],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,8,9,10,12],[2,6,7,8,9,12],[3,4,5,8,11,13],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,5,7,10,11,12],[3,6,7,8,9,13],[4,5,6,7,9,11]];
G[458]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 459: autom. group order 3, 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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,7,9,12],[1,4,6,8,9,13],[1,4,9,11,12,13],[1,5,6,8,10,13],[1,5,7,10,11,12],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,4,8,9,10,11],[2,5,6,7,12,13],[2,5,8,9,10,12],[2,6,7,9,10,13],[3,4,5,10,11,13],[3,4,6,10,12,13],[3,4,7,8,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[459]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 460: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[460]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 461: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,10,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[461]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 462: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,7,8,10],[1,4,6,8,9,13],[1,4,10,11,12,13],[1,5,6,8,11,13],[1,5,7,9,11,12],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,9,13],[3,4,8,9,11,12],[3,5,6,9,10,11],[3,5,7,8,11,13],[3,6,7,8,10,12],[4,5,6,7,10,11]];
G[462]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 463: autom. group order 3, 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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,7,9,12],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,6,10,11,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,7,10,11],[2,4,9,10,11,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,8,9,11],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,6,7,9,11]];
G[463]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 464: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,12,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[464]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 465: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[465]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 466: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[466]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 467: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,8,9,10,11],[2,5,6,10,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[467]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 468: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,11,12,13],[1,5,6,8,9,10],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[468]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 469: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[469]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 470: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,11,12,13],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,8,9,12],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[470]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 471: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,9,13],[1,4,8,10,11,13],[1,5,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,8,10,11,13],[2,4,5,7,8,13],[2,4,6,9,10,11],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,9,12,13],[3,4,6,11,12,13],[3,4,8,9,10,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[3,6,7,8,9,11],[4,5,6,7,10,11]];
G[471]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 472: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[472]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 473: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[473]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 474: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[474]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 475: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[475]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 476: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,7,8,11],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,10,11,12,13],[1,6,7,8,9,12],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,6,7,9,10],[3,5,7,9,11,12],[3,6,7,8,11,13],[4,5,6,7,10,11]];
G[476]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 477: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[477]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 478: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[478]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 479: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[479]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 480: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[480]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 481: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,11,12,13],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,9,11],[2,5,8,10,11,12],[2,6,7,8,10,12],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,9,10,13],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[481]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 482: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,11,12,13],[1,4,8,9,10,11],[1,5,6,8,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,8,9,12,13],[2,4,5,7,8,13],[2,4,6,8,10,13],[2,4,9,10,11,12],[2,5,6,7,9,11],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[482]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 483: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,9,10,11,12],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,5,8,10,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[483]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 484: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,12,13],[1,4,8,9,10,11],[1,5,6,8,11,13],[1,5,8,9,10,12],[1,6,7,9,10,13],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,8,10,13],[2,4,9,11,12,13],[2,5,6,7,8,9],[2,5,8,10,11,12],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,5,6,9,11,13],[3,5,7,8,12,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[484]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 485: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,10,12,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,8,11,13],[2,4,9,10,12,13],[2,5,6,7,9,10],[2,5,8,10,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,8,9,13],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[485]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 486: autom. group order 3, simple
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,11,13],[1,4,6,8,10,11],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,9,10,11,13],[2,4,5,7,10,12],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,7,9,13],[2,5,8,11,12,13],[2,6,7,10,11,12],[3,4,5,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,8,9,12],[3,5,7,8,10,11],[3,6,7,8,10,13],[4,5,6,7,9,11]];
G[486]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 487: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,8,9,11,12],[3,5,6,11,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[487]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 488: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,9,10,11,12],[3,5,6,11,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[488]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 489: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[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[489]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 490: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[490]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 491: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[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],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[491]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 492: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[492]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 493: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[493]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 494: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,8,9,13],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,5,8,11,12,13],[1,6,7,9,10,12],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,9,11,12],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,8,9,10],[3,5,7,9,11,12],[3,6,7,8,9,13],[4,5,6,7,10,11]];
G[494]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 495: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[495]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 496: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,7,9,12],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,10,12,13],[1,5,8,10,11,12],[1,6,7,8,9,13],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,8,12,13],[2,4,9,10,11,13],[2,5,6,8,9,11],[2,5,7,8,10,11],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,13],[3,5,7,11,12,13],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[496]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 497: autom. group order 3, 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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,9,11],[1,4,6,8,12,13],[1,4,9,10,12,13],[1,5,6,8,10,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,9,10,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,12],[2,5,7,11,12,13],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,5,6,9,11,13],[3,5,7,8,10,12],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[497]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 498: autom. group order 3, simple
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,9,13],[1,4,6,8,10,11],[1,4,9,10,11,12],[1,5,6,8,12,13],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,9,10,11,13],[2,4,5,7,10,12],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,9,11,13],[2,5,7,8,11,12],[2,6,7,10,12,13],[3,4,5,10,12,13],[3,4,6,7,11,13],[3,4,8,9,12,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[498]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 499: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[499]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 500: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,10],[3,5,6,7,8,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[500]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 501: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[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],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[501]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 502: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,11],[1,4,6,9,12,13],[1,4,8,9,10,12],[1,5,6,10,11,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,4,9,10,11,13],[2,5,6,8,9,10],[2,5,7,10,11,12],[2,6,7,8,10,12],[3,4,5,8,10,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,8,11,12,13],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[502]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 503: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[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],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[503]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 504: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[504]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 505: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[505]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 506: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[506]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 507: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,7,12,13],[1,4,6,9,10,11],[1,4,8,9,11,13],[1,5,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[2,3,9,11,12,13],[2,4,5,7,11,12],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,8,10,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,7,8,9],[3,5,8,10,11,12],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[507]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 508: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,9,10,11,12],[1,5,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,9,11,12,13],[2,4,5,7,10,11],[2,4,6,8,12,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,10,11,13],[3,4,5,8,10,13],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[508]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 509: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[509]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 510: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[510]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 511: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,4,7,10,11,12],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[511]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 512: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[512]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 513: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[513]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 514: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[514]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 515: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[515]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 516: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,12,13],[1,4,6,8,10,13],[1,4,8,9,11,12],[1,5,6,10,11,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,8,11],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,8,10,12,13],[3,4,5,8,9,10],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,9,10,11],[4,5,6,7,9,12]];
G[516]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 517: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,9,10,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,10,13],[2,4,9,11,12,13],[2,5,6,7,8,9],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,10,11,13],[3,5,7,8,12,13],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[517]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 518: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,8,9,10,11],[1,6,7,8,9,11],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,7,9,10],[2,5,7,11,12,13],[2,6,8,10,11,12],[3,4,5,9,11,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[518]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 519: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,7,8,9,10],[3,6,9,10,11,12],[4,5,6,7,9,11]];
G[519]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 520: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,7,8,13],[3,5,7,8,9,10],[3,6,9,10,11,12],[4,5,6,7,9,11]];
G[520]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 521: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,4,9,10,11,12],[2,5,6,11,12,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[521]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 522: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,9,10,11,12],[2,5,6,10,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[522]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 523: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[523]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 524: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[524]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 525: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,7,12,13],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[525]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 526: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[526]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 527: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,11,12],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,8,9,10,11],[1,6,7,8,12,13],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,7,8,9],[2,5,7,10,11,12],[2,6,8,10,11,12],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,7,10,13],[3,5,9,11,12,13],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[527]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 528: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,12,13],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,8,9,11,13],[1,6,7,8,11,12],[2,3,8,9,12,13],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,10,12,13],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,8,10],[3,5,9,10,11,12],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[528]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 529: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,12,13],[1,4,6,8,9,11],[1,4,9,10,11,12],[1,5,6,8,11,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,7,8,11,12],[2,6,10,11,12,13],[3,4,5,10,11,13],[3,4,6,9,12,13],[3,4,7,8,11,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[3,6,7,8,9,10],[4,5,6,7,9,12]];
G[529]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 530: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[530]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 531: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,8,11,12],[2,5,6,7,8,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[531]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 532: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,8,11,12],[2,5,6,7,12,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[532]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 533: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,10,12],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,8,9,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,10],[3,5,6,7,8,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[533]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 534: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[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],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[534]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 535: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,12],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,6,8,9,10],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,8,10,11],[2,5,6,7,12,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[535]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 536: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,7,8,12],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,6,8,11,13],[1,5,8,9,10,11],[1,6,7,10,12,13],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,7,9,10],[2,5,7,8,11,12],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,10],[4,5,6,7,9,12]];
G[536]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 537: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[537]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 538: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,7,8,10],[1,4,6,8,11,12],[1,4,8,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,13],[1,6,7,10,12,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[538]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 539: autom. group order 3, simple
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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,7,11,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,8,12,13],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,5,8,11,12],[2,4,6,8,10,13],[2,4,7,8,9,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,10,11,13],[3,4,5,10,12,13],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,7,8,10],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[539]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 540: autom. group order 3, simple
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,11,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,10,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,8,11,12],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,7,10,11,12],[2,6,8,10,11,13],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[540]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 541: autom. group order 3, 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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,7,10,11],[1,4,6,9,10,13],[1,4,8,9,11,12],[1,5,6,8,12,13],[1,5,8,9,10,12],[1,6,7,10,11,13],[2,3,9,10,11,13],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,10,12,13],[3,4,6,8,9,11],[3,4,7,8,10,12],[3,5,6,7,8,13],[3,5,8,9,11,13],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[541]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 542: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,8,9,11,12],[3,5,6,7,10,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[542]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 543: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[543]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 544: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[544]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 545: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[545]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 546: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[546]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 547: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[547]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 548: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,7,10,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[548]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 549: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,7,8,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[549]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 550: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[550]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 551: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,8,9,10,11],[3,5,6,7,12,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[551]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 552: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,4,7,8,9,10],[1,5,6,7,10,11],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,9,11],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,9,10,11,12],[2,6,7,8,10,13],[3,4,5,8,10,12],[3,4,6,10,11,13],[3,4,9,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,11],[3,6,7,8,11,12],[4,5,6,7,9,12]];
G[552]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 553: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,5,6,7,8,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[553]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 554: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[554]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 555: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,12,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[555]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 556: autom. group order 3, simple
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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,6,7,9,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,10,11,12,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,4,7,9,11,12],[2,5,6,8,12,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,8,9,11],[3,4,6,8,9,13],[3,4,9,10,12,13],[3,5,6,7,10,13],[3,5,7,8,10,12],[3,6,7,9,11,12],[4,5,6,7,10,11]];
G[556]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 557: autom. group order 3, simple
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,4,7,9,10,12],[1,5,6,7,10,12],[1,5,8,11,12,13],[1,6,8,9,10,11],[2,3,9,10,11,13],[2,4,5,7,11,13],[2,4,6,8,9,12],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,8,9,11,12],[2,6,7,8,10,13],[3,4,5,8,10,11],[3,4,6,8,12,13],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,7,8,9,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[557]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 558: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,8,9,11,12],[3,5,6,11,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[558]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 559: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,8,9,10,11],[3,5,6,11,12,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[559]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 560: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[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],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[560]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 561: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,9,10,11,12],[3,5,6,10,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[561]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 562: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[562]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 563: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[563]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 564: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[564]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 565: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[565]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 566: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[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],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[566]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 567: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,11,12],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[567]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 568: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[568]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 569: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,11,12],[2,5,6,9,10,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[569]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 570: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,11,12,13],[1,4,6,8,9,13],[1,4,7,8,10,12],[1,5,6,7,9,10],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,7,8,11],[2,4,6,9,10,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,7,9,11,12],[3,4,5,9,12,13],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[570]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 571: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,10,11],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[571]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 572: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,9,10],[3,5,6,7,12,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[572]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 573: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[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],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,12,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[573]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 574: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[574]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 575: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[575]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 576: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[576]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 577: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,10],[3,5,6,7,8,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[577]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 578: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[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],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[578]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 579: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[579]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 580: autom. group order 3, 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],[1,2,7,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,8,9,10,11],[2,3,9,10,11,13],[2,4,5,7,10,11],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,8,9,12],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,9,11,12,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[580]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 581: autom. group order 3, 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],[1,2,7,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,7,9,12],[1,5,8,10,11,12],[1,6,9,10,11,13],[2,3,9,10,11,13],[2,4,5,7,10,11],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,9,13],[2,6,7,8,10,11],[3,4,5,10,12,13],[3,4,6,8,9,11],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[581]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 582: autom. group order 3, 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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,9,11,13],[1,4,6,9,12,13],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,11,12],[1,6,8,10,11,12],[2,3,10,11,12,13],[2,4,5,7,11,12],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,8,12,13],[3,4,6,9,10,11],[3,4,7,8,9,11],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[582]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 583: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[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],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[583]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 584: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,7,10,12,13],[1,5,6,7,8,10],[1,5,8,9,12,13],[1,6,8,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,7,10,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,9,10],[3,5,6,7,12,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[584]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 585: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,4,7,8,9,11],[1,5,6,8,11,12],[1,5,7,8,10,12],[1,6,8,9,10,13],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,7,8,10],[2,4,10,11,12,13],[2,5,6,8,11,13],[2,5,8,9,10,12],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,8,10,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,7,8,11,13],[3,6,7,10,11,12],[4,5,6,7,9,12]];
G[585]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 586: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,7,8,11,12],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,7,11,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,9,11,12,13],[2,6,7,8,9,10],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,7,8,10,11],[3,6,7,8,12,13],[4,5,6,7,9,12]];
G[586]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 587: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,6,9,11,13],[1,5,7,8,11,12],[1,6,8,9,10,12],[2,3,10,11,12,13],[2,4,5,7,9,11],[2,4,6,7,12,13],[2,4,8,9,11,12],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,8,9,13],[3,4,9,10,11,12],[3,5,6,7,10,12],[3,5,7,8,9,12],[3,6,7,9,11,13],[4,5,6,7,10,11]];
G[587]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 588: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,7,10,11],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,7,8,9,13],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,9,10,11,13],[3,5,6,7,9,12],[3,5,7,8,10,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[588]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 589: autom. group order 3, 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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,4,7,9,10,11],[1,5,6,10,12,13],[1,5,7,8,12,13],[1,6,8,9,10,11],[2,3,9,10,12,13],[2,4,5,7,10,12],[2,4,6,7,11,13],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,8,9,13],[3,4,6,8,10,13],[3,4,9,11,12,13],[3,5,6,7,9,11],[3,5,7,8,10,11],[3,6,7,8,10,12],[4,5,6,7,9,12]];
G[589]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 590: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,9,11,12],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,6,8,11,13],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,11,13],[2,4,6,8,10,13],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,9,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,9,10],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,7,8,10,11],[3,6,7,11,12,13],[4,5,6,7,9,12]];
G[590]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 591: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,9,10,12],[1,4,6,8,12,13],[1,4,7,9,11,13],[1,5,6,8,10,13],[1,5,7,8,11,12],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,4,5,7,10,13],[2,4,6,10,11,13],[2,4,8,10,11,12],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,11,13],[3,4,6,7,8,9],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,5,7,8,10,11],[3,6,7,10,12,13],[4,5,6,7,9,12]];
G[591]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 592: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,7,8,9,12],[1,5,6,8,12,13],[1,5,7,10,11,13],[1,6,8,9,10,12],[2,3,9,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,4,8,10,11,12],[2,5,6,7,8,11],[2,5,8,9,10,11],[2,6,7,9,12,13],[3,4,5,10,12,13],[3,4,6,7,9,10],[3,4,8,9,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[592]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 593: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,4,7,8,9,10],[1,5,6,8,10,11],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,6,10,12,13],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,6,7,9,11],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,9,10,11,12],[3,6,7,8,10,13],[4,5,6,7,10,11]];
G[593]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 594: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,6,10,11,13],[1,5,7,8,11,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,8,10,12],[2,4,9,10,11,12],[2,5,6,9,12,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,9,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[594]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 595: autom. group order 3, 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],[1,2,7,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,6,8,9,11],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,9,10,11,13],[2,4,5,7,9,12],[2,4,6,9,12,13],[2,4,8,9,10,11],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,8,12,13],[3,4,6,7,10,11],[3,4,8,10,11,12],[3,5,6,7,10,13],[3,5,9,11,12,13],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[595]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 596: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,9,10,11],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,8,12,13],[1,5,7,8,11,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,7,8,10],[2,4,10,11,12,13],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,11,12],[3,5,8,9,10,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[596]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 597: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,9,10,11],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,6,8,9,13],[1,5,7,8,11,12],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,8,10],[2,4,9,10,11,12],[2,5,6,7,9,13],[2,5,7,10,12,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,8,9,10,12],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[597]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 598: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,9,12,13],[1,5,7,8,11,13],[1,6,8,9,10,11],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,9,10,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[598]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 599: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,9,10,11,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,7,9,10],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,7,8,10,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,6,7,8,11],[3,5,8,9,10,12],[3,6,7,9,10,12],[4,5,6,7,10,11]];
G[599]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 600: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,8,10,11],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,9,12,13],[1,5,7,8,11,12],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,4,9,10,11,12],[2,5,6,7,8,13],[2,5,7,10,12,13],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,5,6,7,9,11],[3,5,8,9,10,12],[3,6,7,8,9,10],[4,5,6,7,10,11]];
G[600]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 601: autom. group order 3, simple
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],[1,3,7,10,12,13],[1,4,5,8,10,11],[1,4,6,9,10,13],[1,4,7,8,9,12],[1,5,6,8,9,13],[1,5,7,11,12,13],[1,6,8,10,11,12],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,9,12,13],[3,4,7,8,9,11],[3,5,6,7,9,11],[3,5,8,9,10,12],[3,6,7,8,10,13],[4,5,6,7,10,11]];
G[601]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 602: autom. group order 3, simple
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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,9,11,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,10,12,13],[1,5,7,8,11,12],[1,6,8,9,10,11],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,7,9,13],[2,4,9,10,11,12],[2,5,6,7,10,12],[2,5,7,8,9,12],[2,6,8,10,11,13],[3,4,5,8,10,11],[3,4,6,8,12,13],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,8,9,12,13],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[602]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 603: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,6,7,10,12],[1,5,7,8,11,13],[1,6,8,9,11,12],[2,3,8,10,11,13],[2,4,5,7,9,11],[2,4,6,7,12,13],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,8,9,10,12],[2,6,7,8,9,10],[3,4,5,9,12,13],[3,4,6,8,10,11],[3,4,7,8,9,12],[3,5,6,9,11,13],[3,5,7,8,11,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[603]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 604: autom. group order 3, simple
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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,8,9,12],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,9,13],[1,5,7,10,11,12],[1,6,8,10,11,13],[2,3,9,11,12,13],[2,4,5,7,11,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[604]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 605: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[605]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 606: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[606]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 607: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[607]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 608: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[608]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 609: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,8,9,11,12],[3,5,6,11,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[609]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 610: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[610]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 611: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[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[611]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 612: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[612]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 613: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[613]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 614: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[614]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 615: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[615]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 616: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,12,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[616]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 617: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[617]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 618: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[618]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 619: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,9,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[619]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 620: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[620]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 621: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,7,8,9,12],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[621]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 622: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[622]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 623: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,11,12],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,7,8,9,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[623]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 624: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,11,12],[2,5,6,9,12,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,7,9,10,12],[3,5,6,10,11,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[624]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 625: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,7,8,9,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[625]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 626: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,10,13],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,7,9,10,12],[3,5,6,10,11,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[626]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 627: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,7,8,9,10],[3,5,6,8,11,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[627]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 628: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,8,9,11,12],[2,5,6,8,9,13],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,5,6,11,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[628]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 629: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[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],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,7,8,9,12],[3,5,6,8,11,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[629]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 630: autom. group order 3, 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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[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],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,6,7,8,9,10],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,7,9,10,12],[3,5,6,10,11,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[630]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 631: autom. group order 3, simple
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],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,7,8,13],[2,4,6,11,12,13],[2,4,8,9,10,11],[2,5,6,9,10,13],[2,5,7,10,11,12],[2,6,7,8,9,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,7,9,10,12],[3,5,6,8,11,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[631]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 632: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,7,8,9,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,9,10],[2,4,7,8,10,12],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,6,9,10,12,13],[3,4,5,9,11,12],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,6,8,10,13],[3,5,7,9,10,11],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[632]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 633: autom. group order 3, 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],[1,3,7,10,12,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,4,8,9,10,11],[1,5,6,7,10,12],[1,5,7,8,9,13],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,9,11],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,9,10,12,13],[3,4,5,8,9,12],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,11,13],[3,5,7,9,10,11],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[633]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 634: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,11,12,13],[1,4,6,8,12,13],[1,4,8,9,10,12],[1,5,6,7,9,11],[1,5,7,10,12,13],[1,6,8,9,10,11],[2,3,10,11,12,13],[2,4,5,8,9,13],[2,4,6,7,10,12],[2,4,7,9,11,12],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,8,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,8,10,12],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[634]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 635: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,4,8,9,10,12],[1,5,6,7,11,12],[1,5,7,10,12,13],[1,6,8,9,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,8,10],[2,4,7,9,11,12],[2,5,6,7,9,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,9,10,11],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,6,8,9,13],[3,5,7,8,10,12],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[635]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 636: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,8,9,11,12],[3,5,6,10,11,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[636]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 637: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[637]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 638: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,9,11,13],[1,4,6,8,11,13],[1,4,8,9,10,12],[1,5,6,7,8,12],[1,5,7,8,10,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,4,5,8,10,13],[2,4,6,7,9,10],[2,4,7,11,12,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,10,11,13],[3,5,7,8,9,13],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[638]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 639: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,9,13],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[639]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 640: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[640]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 641: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,6,7,8,12],[1,5,7,8,10,11],[1,6,8,9,11,12],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,7,9,10],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,9,11,12],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,7,9,10,11],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[641]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 642: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,7,8,13],[3,4,8,9,11,12],[3,5,6,11,12,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[642]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 643: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,10,11,12],[3,6,7,8,9,12],[4,5,6,7,9,11]];
G[643]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 644: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,4,7,10,11,12],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,9,12,13],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,9,11]];
G[644]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 645: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,8,9],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,9,10,11],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,7,8,9,12],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[645]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 646: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,7,8,12],[1,5,7,8,9,13],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,9,10,12,13],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,11,12,13],[3,5,6,7,10,13],[3,5,8,9,10,11],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[646]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 647: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[647]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 648: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[648]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 649: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,9,12],[3,5,6,7,12,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[649]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 650: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[650]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 651: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,4,9,10,12,13],[1,5,6,7,8,12],[1,5,7,8,9,11],[1,6,8,10,11,12],[2,3,8,9,12,13],[2,4,5,8,12,13],[2,4,6,7,9,10],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,9,11,12],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[651]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 652: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,5,6,7,10,13],[3,5,9,10,11,12],[3,6,7,8,11,12],[4,5,6,7,9,11]];
G[652]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 653: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,12],[3,5,6,7,8,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,9,11]];
G[653]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 654: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,11,12],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,12,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[654]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 655: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,4,7,10,11,12],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[655]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 656: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,7,9,10,12],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,9,10,12],[3,5,6,7,8,13],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,11]];
G[656]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 657: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,10,11,12,13],[1,5,6,7,9,11],[1,5,7,8,10,12],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,6,7,10,12],[2,4,7,8,9,12],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,5,8,10,11],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,12,13],[3,5,8,9,10,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[657]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 658: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,12,13],[1,4,6,8,9,13],[1,4,9,10,11,12],[1,5,6,7,10,11],[1,5,7,9,12,13],[1,6,8,10,11,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,6,7,9,12],[2,4,7,8,10,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,8,9,11,13],[3,4,5,8,9,11],[3,4,6,10,12,13],[3,4,7,10,11,13],[3,5,6,7,12,13],[3,5,8,9,10,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[658]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 659: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,6,7,8,9],[1,5,7,8,10,12],[1,6,8,11,12,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,4,7,9,11,12],[2,5,6,8,9,13],[2,5,9,10,12,13],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,9,10,12],[3,4,7,8,9,13],[3,5,6,7,11,13],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,10,11]];
G[659]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 660: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,5,6,7,10,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[660]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 661: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,7,8,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,8,10,11],[3,5,6,7,10,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[661]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 662: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[662]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 663: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,11,12],[1,4,6,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[663]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 664: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,7,8,9,10],[3,6,9,10,11,12],[4,5,6,7,9,11]];
G[664]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 665: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,10],[2,5,6,8,11,13],[2,5,9,10,11,12],[2,6,7,8,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[665]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 666: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,8,9,10,11],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[666]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 667: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,9,10,13],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,11,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,7,8,9,12],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[667]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 668: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,9,11,13],[1,4,5,8,10,11],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,13],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,7,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,7,9,10,12],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[668]:=Group([(4,5,6)(7,9,11)(8,10,12)]);
# Design 669: autom. group order 3, simple
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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,9,11,13],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,7,10,12],[1,5,7,8,9,12],[1,6,8,10,11,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,6,7,9,13],[2,4,7,10,11,12],[2,5,6,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,7,8,11,12],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[669]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 670: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,9,10,13],[1,4,6,9,12,13],[1,4,8,9,11,12],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,6,7,8,13],[2,4,10,11,12,13],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,8,12,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,5,6,11,12,13],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[670]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 671: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,6,8,9,13],[1,4,8,9,11,12],[1,5,6,9,10,11],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,8,10,11,13],[2,4,5,7,8,10],[2,4,6,7,9,13],[2,4,10,11,12,13],[2,5,6,8,12,13],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,9,12,13],[3,4,6,7,11,12],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[671]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 672: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,4,8,11,12,13],[1,5,6,10,11,13],[1,5,7,9,11,12],[1,6,7,8,9,10],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,7,9,12],[2,4,8,9,10,11],[2,5,6,8,12,13],[2,5,7,8,11,12],[2,6,9,10,12,13],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[3,6,7,8,10,12],[4,5,6,7,10,11]];
G[672]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 673: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,8,9,10,12],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,6,7,8,10,11],[2,3,8,9,12,13],[2,4,5,7,8,12],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,8,11,13],[2,5,7,10,11,12],[2,6,9,10,12,13],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,10,11,12],[3,6,7,8,9,11],[4,5,6,7,9,12]];
G[673]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 674: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,9,11,12],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,9,11],[1,6,7,8,10,11],[2,3,8,9,12,13],[2,4,5,7,8,12],[2,4,6,7,10,13],[2,4,8,9,10,11],[2,5,6,10,11,13],[2,5,7,11,12,13],[2,6,8,9,10,12],[3,4,5,9,11,13],[3,4,6,8,11,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,8,10,11,12],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[674]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 675: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,6,8,10,11],[1,4,10,11,12,13],[1,5,6,9,11,13],[1,5,7,8,10,12],[1,6,7,8,9,12],[2,3,10,11,12,13],[2,4,5,7,9,11],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,8,9,13],[3,4,7,9,11,12],[3,5,6,7,10,12],[3,5,8,9,11,12],[3,6,7,9,10,13],[4,5,6,7,10,11]];
G[675]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 676: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,12,13],[1,4,6,8,9,11],[1,4,9,10,11,12],[1,5,6,10,11,13],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,9,11,12,13],[2,4,5,7,10,11],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,8,9,11,13],[3,4,5,8,9,13],[3,4,6,10,12,13],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[676]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 677: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,11,12],[1,4,6,9,12,13],[1,4,8,9,11,13],[1,5,6,8,11,13],[1,5,7,8,9,10],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,8,9,10],[3,4,7,8,11,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,10,11,13],[4,5,6,7,9,12]];
G[677]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 678: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,10,12,13],[1,4,6,9,11,12],[1,4,8,9,10,11],[1,5,6,8,11,13],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,8,12],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,7,11,13],[2,5,8,10,11,12],[2,6,9,10,12,13],[3,4,5,10,11,13],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[678]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 679: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,5,7,8,9,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,8,11,13],[2,4,7,9,10,11],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,9,10,12,13],[3,4,5,8,10,13],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[679]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 680: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,11,12,13],[1,4,6,8,9,12],[1,4,8,9,10,11],[1,5,6,8,11,13],[1,5,7,8,9,10],[1,6,7,10,12,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,9,10,11,12],[3,4,5,10,11,13],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,7,9,11],[3,5,8,9,12,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[680]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 681: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,9,12,13],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,5,7,8,9,11],[1,6,7,8,11,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,8,9,10,12],[3,4,5,8,11,13],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,9,10,11,12],[3,6,7,8,10,13],[4,5,6,7,9,12]];
G[681]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 682: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,10,11,13],[1,5,7,8,9,11],[1,6,7,8,12,13],[2,3,8,9,12,13],[2,4,5,7,11,12],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,9],[3,5,9,11,12,13],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[682]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 683: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,11,12],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,10,11,13],[1,5,7,8,9,11],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,12,13],[2,4,6,8,11,13],[2,4,7,9,10,11],[2,5,6,7,8,10],[2,5,10,11,12,13],[2,6,8,9,10,12],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,8,11,13],[4,5,6,7,9,12]];
G[683]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 684: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,8,10,13],[1,5,7,9,11,13],[1,6,7,8,11,12],[2,3,8,9,12,13],[2,4,5,7,11,12],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,8,11,13],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,7,8,9],[3,5,9,10,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[684]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 685: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,11,12],[1,4,6,10,11,13],[1,4,8,10,12,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[2,3,10,11,12,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,8,9,11,13],[2,6,8,9,10,11],[3,4,5,8,9,13],[3,4,6,8,9,10],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,8,10,11,12],[3,6,7,9,12,13],[4,5,6,7,10,11]];
G[685]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 686: autom. group order 3, simple, derived
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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,11,13],[1,4,6,10,11,12],[1,4,8,9,10,12],[1,5,6,8,12,13],[1,5,7,8,10,12],[1,6,7,9,11,13],[2,3,10,11,12,13],[2,4,5,7,8,11],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,5,9,12,13],[3,4,6,8,10,13],[3,4,7,9,11,12],[3,5,6,7,9,10],[3,5,8,10,11,13],[3,6,7,8,9,12],[4,5,6,7,10,11]];
G[686]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 687: autom. group order 3, simple, derived
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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,11,12,13],[1,4,6,8,9,11],[1,4,8,9,10,12],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,10,11,13],[2,3,9,11,12,13],[2,4,5,7,10,11],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[687]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 688: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,11,12,13],[1,4,6,8,9,11],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,9,12,13],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,5,7,10,11],[2,4,6,10,12,13],[2,4,7,8,9,12],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[688]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 689: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,9,11],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[2,3,10,11,12,13],[2,4,5,7,11,13],[2,4,6,8,9,13],[2,4,7,8,10,12],[2,5,6,7,9,12],[2,5,8,11,12,13],[2,6,8,9,10,11],[3,4,5,9,12,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,5,6,7,10,13],[3,5,8,9,10,11],[3,6,7,8,9,13],[4,5,6,7,10,11]];
G[689]:=Group([(1,2,3)(4,5,6)(7,10,11)(8,9,12)]);
# Design 690: autom. group order 3, simple, derived
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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,8,11,13],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,6,8,12,13],[1,5,7,9,12,13],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,5,7,11,12],[2,4,6,8,10,13],[2,4,7,8,9,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,10,12,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,8,9],[3,5,8,9,10,11],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[690]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 691: autom. group order 3, 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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,10,11,12],[1,4,6,9,11,13],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,7,11,13],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,8,12,13],[3,4,6,8,9,10],[3,4,7,8,10,11],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,10,12,13],[4,5,6,7,9,11]];
G[691]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 692: autom. group order 3, simple, derived
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,7,8,11],[2,4,6,10,12,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,6,8,9,13],[3,4,7,10,11,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[692]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 693: autom. group order 3, simple, derived
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,11,12,13],[1,4,6,8,9,11],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,9,10,11,13],[2,4,5,7,10,11],[2,4,6,10,12,13],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,8,9,11,12],[3,4,5,8,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,8,9,11,13],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[693]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 694: autom. group order 3, 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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,9,11,13],[1,4,9,10,12,13],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,9,13],[3,5,8,9,11,12],[3,6,7,8,10,13],[4,5,6,7,9,11]];
G[694]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 695: autom. group order 3, simple, derived
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,6,9,10,11],[1,4,8,9,10,12],[1,5,6,10,12,13],[1,5,7,9,12,13],[1,6,7,8,10,11],[2,3,9,10,11,13],[2,4,5,7,11,12],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,8,9,11,13],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,8,10,12],[4,5,6,7,9,11]];
G[695]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 696: autom. group order 3, simple, derived
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],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,4,8,9,12,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,8,11,12],[2,3,8,9,12,13],[2,4,5,7,11,12],[2,4,6,10,11,13],[2,4,7,8,9,10],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,9,10,11,12],[3,6,7,9,11,13],[4,5,6,7,9,12]];
G[696]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 697: autom. group order 3, simple, derived
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,9,13],[1,4,6,9,11,12],[1,4,9,10,12,13],[1,5,6,8,11,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,8,12],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,10,12,13],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,5,10,11,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,9,13],[4,5,6,7,9,12]];
G[697]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 698: autom. group order 3, 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],[1,2,7,9,10,13],[1,3,7,8,11,13],[1,4,5,9,12,13],[1,4,6,9,10,11],[1,4,8,9,11,13],[1,5,6,8,12,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[2,3,9,11,12,13],[2,4,5,7,11,12],[2,4,6,8,10,13],[2,4,7,8,9,12],[2,5,6,8,11,13],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,10,12,13],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,8,9,10,11],[3,6,7,9,12,13],[4,5,6,7,9,11]];
G[698]:=Group([(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 699: autom. group order 3, simple, derived
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,9,11,13],[1,4,6,9,10,12],[1,4,8,9,12,13],[1,5,6,10,11,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,11,12],[2,4,6,8,11,13],[2,4,7,9,10,11],[2,5,6,8,12,13],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,9,11,13],[4,5,6,7,9,12]];
G[699]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 700: autom. group order 3, simple, derived
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],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,6,9,11,12],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,8,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,10,11,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,7,11,13],[3,4,6,8,11,13],[3,4,9,10,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[700]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 701: autom. group order 3, 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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,8,9,10,11],[1,5,6,9,10,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,6,11,12,13],[2,4,7,9,10,11],[2,5,6,8,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,7,8,13],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[701]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 702: autom. group order 3, simple, derived
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,7,10,12,13],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,8,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,6,8,11,13],[2,5,8,10,11,12],[2,6,7,9,11,13],[3,4,5,7,11,13],[3,4,6,8,10,13],[3,4,8,9,12,13],[3,5,6,7,9,10],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[702]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 703: autom. group order 3, simple, derived
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],[1,2,7,8,9,13],[1,3,7,11,12,13],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,9,11,13],[1,5,7,10,12,13],[1,6,7,8,10,12],[2,3,9,10,12,13],[2,4,5,7,11,12],[2,4,6,8,12,13],[2,4,7,9,10,11],[2,5,6,8,10,13],[2,5,8,10,11,12],[2,6,7,9,11,13],[3,4,5,7,10,13],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,7,8,9],[3,5,8,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,12]];
G[703]:=Group([(1,2,3)(4,5,6)(7,9,12)(8,10,11)]);
# Design 704: autom. group order 3, simple
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],[1,2,7,9,11,13],[1,3,7,10,12,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,8,10,12],[2,4,7,9,11,12],[2,5,6,9,12,13],[2,5,8,11,12,13],[2,6,7,8,9,10],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,9,10,12,13],[3,5,6,7,9,12],[3,5,7,8,11,12],[3,6,8,9,10,11],[4,5,6,7,10,11]];
G[704]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 705: autom. group order 3, simple, derived
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],[1,2,7,11,12,13],[1,3,7,8,9,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,4,9,10,11,13],[1,5,6,8,9,11],[1,5,7,9,10,12],[1,6,7,8,10,12],[2,3,9,10,11,13],[2,4,5,7,9,12],[2,4,6,9,12,13],[2,4,7,8,10,11],[2,5,6,8,10,13],[2,5,8,10,11,12],[2,6,7,8,9,13],[3,4,5,8,12,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,7,10,13],[3,5,7,11,12,13],[3,6,8,9,11,12],[4,5,6,7,9,11]];
G[705]:=Group([(1,2,3)(4,6,5)(7,11,9)(8,12,10)]);
# Design 706: autom. group order 3, 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],[1,2,7,8,11,13],[1,3,7,9,10,13],[1,4,5,9,11,12],[1,4,6,8,9,13],[1,4,8,10,11,12],[1,5,6,10,11,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,6,8,9,10],[2,4,7,9,11,12],[2,5,6,8,12,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,8,10,12,13],[3,5,6,7,8,12],[3,5,7,8,9,11],[3,6,8,9,10,11],[4,5,6,7,10,11]];
G[706]:=Group([(1,2,3)(4,6,5)(7,11,10)(8,12,9)]);
# Design 707: autom. group order 3, simple
B[707]:=[[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],[1,4,5,6,10,12],[1,4,7,10,12,13],[1,4,8,9,11,12],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,11,13],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,11,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,5,9,10,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,8,12,13],[3,5,7,10,11,13],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[707]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 708: autom. group order 3, simple
B[708]:=[[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],[1,4,5,6,11,12],[1,4,7,10,12,13],[1,4,8,9,10,11],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,12,13],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,6,8,10,12],[2,5,7,9,10,11],[2,6,7,8,11,12],[3,4,5,9,12,13],[3,4,6,9,10,11],[3,4,7,8,10,12],[3,5,6,8,10,13],[3,5,7,10,11,13],[3,6,7,9,11,12],[4,5,6,7,8,9]];
G[708]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 709: autom. group order 3, simple, derived
B[709]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,6,10,13],[1,4,7,8,9,13],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,5,7,9,10,11],[1,6,8,9,12,13],[2,3,9,10,12,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,7,9,12],[3,4,6,8,10,11],[3,4,7,9,11,13],[3,5,6,7,12,13],[3,5,8,10,11,13],[3,6,7,8,10,12],[4,5,6,9,11,12]];
G[709]:=Group([(1,2,10)(3,9,5)(4,12,7)(6,13,11)]);
# Design 710: autom. group order 3, simple, derived
B[710]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,8,10,11],[1,4,6,8,11,13],[1,4,6,9,12,13],[1,5,7,9,12,13],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,8,9,10,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,7,8,11,12],[2,6,7,10,11,13],[3,4,5,7,11,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,8,13],[3,5,6,10,11,13],[3,6,8,9,11,12],[4,5,6,7,9,10]];
G[710]:=Group([(1,3,12)(2,11,13)(4,9,5)(6,10,7)]);
# Design 711: autom. group order 3, simple, derived
B[711]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,6,9,12,13],[1,4,6,10,11,13],[1,5,7,8,11,13],[1,5,8,9,11,12],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,9,10,11,13],[2,6,7,10,12,13],[3,4,5,7,11,12],[3,4,7,9,10,11],[3,4,8,9,10,13],[3,5,6,8,9,13],[3,5,6,10,11,12],[3,6,7,8,11,13],[4,5,6,7,9,12]];
G[711]:=Group([(1,8,13)(3,4,12)(5,11,7)(6,10,9)]);
# Design 712: autom. group order 3, simple, derived
B[712]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,12,13],[1,4,5,10,11,12],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,5,7,9,10,13],[1,7,8,9,11,12],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,7,9,13],[2,4,6,8,10,11],[2,5,7,8,10,11],[2,5,7,8,12,13],[2,6,10,11,12,13],[3,4,5,7,11,12],[3,4,7,8,10,13],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,9,11],[3,6,7,9,10,12],[4,5,6,8,9,12]];
G[712]:=Group([(1,3,10)(2,9,5)(4,12,13)(6,8,7)]);
# Design 713: autom. group order 3, simple
B[713]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,9,10,12],[1,4,6,7,10,13],[1,4,8,9,12,13],[1,5,6,8,11,12],[1,5,7,11,12,13],[1,7,8,9,10,11],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,11,12],[2,4,8,9,10,11],[2,5,6,9,10,12],[2,5,7,8,12,13],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,8,11,12],[3,4,7,10,12,13],[3,5,6,8,10,13],[3,5,7,8,10,11],[3,6,7,9,10,12],[4,5,6,7,8,9]];
G[713]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 714: autom. group order 3, simple
B[714]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,9,10,13],[1,4,6,7,11,12],[1,4,8,9,11,13],[1,5,6,8,10,12],[1,5,7,11,12,13],[1,7,8,9,10,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,4,8,9,11,12],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,9,10,12],[3,4,6,8,10,11],[3,4,7,10,12,13],[3,5,6,8,12,13],[3,5,7,8,11,13],[3,6,7,9,10,11],[4,5,6,7,8,9]];
G[714]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 715: autom. group order 3, simple
B[715]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,12],[1,4,6,7,11,13],[1,4,9,10,12,13],[1,5,6,10,11,12],[1,5,7,8,12,13],[1,7,8,9,10,11],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,10],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,7,9,11,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,8,9,11],[3,5,7,9,10,13],[3,6,7,8,10,12],[4,5,6,7,8,10]];
G[715]:=Group([(1,7,9)(2,13,4)(3,5,12)(8,11,10)]);
# Design 716: autom. group order 3, simple, derived
B[716]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,7,11,13],[1,4,6,8,10,12],[1,4,9,10,11,13],[1,5,6,8,12,13],[1,5,7,8,9,13],[1,8,9,10,11,12],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,4,7,8,9,10],[2,5,6,8,10,11],[2,5,7,10,11,12],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,8,11,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,10,11,13],[4,5,6,7,9,12]];
G[716]:=Group([(1,10,13)(3,5,12)(4,11,9)(6,7,8)]);
# Design 717: autom. group order 3, simple, derived
B[717]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,7,9,13],[1,4,5,10,11,13],[1,4,6,8,9,13],[1,4,7,8,10,11],[1,5,6,8,10,12],[1,5,7,9,10,12],[1,8,9,11,12,13],[2,3,8,9,10,11],[2,4,5,7,12,13],[2,4,6,8,10,12],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,12],[3,5,6,8,11,12],[3,5,7,8,10,13],[3,6,7,10,12,13],[4,5,6,7,9,11]];
G[717]:=Group([(1,2,10)(3,9,5)(4,11,12)(6,8,7)]);
# Design 718: autom. group order 3, simple, derived
B[718]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,10],[1,3,6,8,11,12],[1,4,5,7,11,12],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,7,8,13],[1,5,8,10,12,13],[1,7,9,10,11,12],[2,3,7,10,11,13],[2,4,5,8,9,11],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,13],[4,5,6,7,10,11]];
G[718]:=Group([(1,3,9)(2,5,10)(4,12,7)(8,13,11)]);
# Design 719: autom. group order 3, simple
B[719]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,11],[1,4,9,10,12,13],[1,5,6,8,12,13],[1,5,7,8,10,12],[1,7,8,9,10,11],[2,3,8,10,11,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,7,9,11,13],[2,6,8,9,12,13],[3,4,5,9,11,12],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,5,6,7,8,13],[3,5,8,10,11,12],[3,6,7,9,11,12],[4,5,6,10,11,13]];
G[719]:=Group([(1,2,9)(3,5,10)(4,7,13)(8,11,12)]);
# Design 720: autom. group order 3, simple
B[720]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,9,10,11],[1,4,7,9,10,12],[1,5,6,8,10,13],[1,5,7,8,10,12],[1,7,8,9,11,13],[2,3,7,10,11,13],[2,4,5,8,9,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,9,12],[2,5,8,10,11,12],[2,6,8,9,12,13],[3,4,5,8,9,11],[3,4,6,7,8,12],[3,4,8,10,12,13],[3,5,6,7,10,13],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,11,13]];
G[720]:=Group([(1,3,8)(2,4,7)(5,12,11)(9,10,13)]);
# Design 721: autom. group order 3, simple
B[721]:=[[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],[1,4,6,9,11,13],[1,4,7,8,10,12],[1,5,7,11,12,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[2,3,8,9,12,13],[2,4,5,6,11,12],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,10,12,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,7,9,10,11],[3,6,7,8,12,13],[4,5,6,7,8,9]];
G[721]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 722: autom. group order 3, simple
B[722]:=[[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],[1,4,5,8,11,13],[1,4,6,9,10,12],[1,4,7,8,10,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,9,11,12],[2,3,8,9,12,13],[2,4,5,6,11,12],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,10,13],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,5,10,12,13],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,5,6,8,10,12],[3,5,7,9,10,11],[3,6,7,8,10,11],[4,5,6,7,8,9]];
G[722]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 723: autom. group order 3, simple
B[723]:=[[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],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,8,10,11],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,9,12,13],[2,3,8,9,12,13],[2,4,5,6,10,12],[2,4,7,10,12,13],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,6,7,8,11,12],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,5,7,9,11,12],[3,6,7,8,10,12],[4,5,6,7,8,9]];
G[723]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 724: autom. group order 3, simple
B[724]:=[[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],[1,4,5,8,12,13],[1,4,6,9,11,12],[1,4,7,8,10,11],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,9,10,12],[2,3,8,9,12,13],[2,4,5,6,10,12],[2,4,7,10,11,13],[2,4,8,9,11,12],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,6,7,8,12,13],[3,4,5,10,12,13],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[3,6,7,8,10,12],[4,5,6,7,8,9]];
G[724]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,12,11)]);
# Design 725: autom. group order 3, 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],[1,2,6,9,10,13],[1,3,6,8,11,13],[1,4,5,8,11,13],[1,4,6,8,9,12],[1,4,7,9,12,13],[1,5,7,10,11,12],[1,5,8,9,10,11],[1,6,7,10,12,13],[2,3,9,11,12,13],[2,4,5,6,10,12],[2,4,7,8,10,13],[2,4,8,10,11,12],[2,5,6,7,11,13],[2,5,7,8,9,13],[2,6,8,9,11,12],[3,4,5,9,12,13],[3,4,6,10,11,13],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,8,10,12,13],[3,6,7,8,9,10],[4,5,6,7,9,11]];
G[725]:=Group([(1,2,12)(3,11,7)(4,9,10)(5,8,13)]);
# Design 726: autom. group order 3, simple, derived
B[726]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,8,9,12],[1,4,5,9,11,13],[1,4,6,7,10,12],[1,4,9,10,12,13],[1,5,7,8,10,12],[1,5,7,8,11,13],[1,6,8,10,11,13],[2,3,7,8,10,13],[2,4,5,6,10,13],[2,4,7,10,11,12],[2,4,8,9,11,12],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,5,8,12,13],[3,4,6,7,11,13],[3,4,8,9,10,11],[3,5,6,10,11,12],[3,5,7,9,10,11],[3,6,7,9,12,13],[4,5,6,7,8,9]];
G[726]:=Group([(1,2,11)(3,12,13)(4,8,5)(6,9,7)]);
# Design 727: autom. group order 3, simple, derived
B[727]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,11,12],[1,3,6,8,9,11],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,9,12,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,8,10,11,13],[2,3,9,10,12,13],[2,4,5,6,8,13],[2,4,7,8,9,11],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,5,7,10,11],[3,4,6,7,12,13],[3,4,8,10,11,13],[3,5,6,8,9,12],[3,5,7,9,11,13],[3,6,7,8,10,12],[4,5,6,9,11,12]];
G[727]:=Group([(1,8,10)(3,4,9)(5,7,12)(6,11,13)]);
# Design 728: autom. group order 3, simple, derived
B[728]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,4,7,10,11,13],[1,5,7,8,9,13],[1,5,7,8,10,12],[1,6,8,9,12,13],[2,3,9,10,12,13],[2,4,5,6,8,13],[2,4,7,8,9,11],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,7,9,10,11],[3,4,5,7,9,12],[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],[4,5,6,9,11,12]];
G[728]:=Group([(1,8,10)(3,4,9)(5,7,12)(6,11,13)]);
# Design 729: autom. group order 3, simple, derived
B[729]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[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],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,7,8,12,13],[1,5,7,10,11,12],[1,6,7,9,10,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,7,9,10,13],[2,4,8,9,10,12],[2,5,6,9,11,12],[2,5,7,8,10,11],[2,6,7,8,12,13],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,9,10,12,13],[3,6,8,9,11,13],[4,5,6,8,10,11]];
G[729]:=Group([(1,7,13)(2,4,11)(5,12,8)(6,9,10)]);
# Design 730: autom. group order 3, simple, derived
B[730]:=[[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],[1,3,6,7,8,13],[1,4,5,7,8,11],[1,4,6,9,10,13],[1,4,7,9,12,13],[1,5,7,10,11,12],[1,5,8,9,10,13],[1,6,8,10,11,12],[2,3,7,10,12,13],[2,4,5,6,11,13],[2,4,7,9,10,11],[2,4,8,10,11,13],[2,5,6,8,9,12],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,10,12,13],[3,4,6,8,10,12],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,7,9,12]];
G[730]:=Group([(1,3,11)(2,9,12)(4,13,10)(5,8,6)]);
# Design 731: autom. group order 3, 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],[1,2,6,8,9,13],[1,3,6,10,11,13],[1,4,5,11,12,13],[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],[2,3,9,10,12,13],[2,4,5,10,11,12],[2,4,6,7,9,12],[2,4,6,8,10,11],[2,5,6,7,11,13],[2,5,8,9,11,13],[2,7,8,10,12,13],[3,4,5,8,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,12],[3,6,7,8,10,11],[4,5,6,7,9,10]];
G[731]:=Group([(1,6,7)(2,11,9)(3,10,4)(5,8,13)]);
# Design 732: autom. group order 3, simple
B[732]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,6,8,11,12],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,11,12],[2,3,8,9,12,13],[2,4,5,9,11,12],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,7,8,9,10,11],[3,4,5,8,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,10,12],[3,5,7,10,11,13],[3,6,7,8,12,13],[4,5,6,7,8,9]];
G[732]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 733: autom. group order 3, simple
B[733]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,4,7,9,12,13],[1,5,7,8,11,12],[1,5,8,9,10,12],[1,6,7,9,10,13],[2,3,8,9,12,13],[2,4,5,9,10,11],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,7,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,12],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,5,7,11,12,13],[3,6,7,8,10,11],[4,5,6,7,8,9]];
G[733]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 734: autom. group order 3, simple
B[734]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,10,12,13],[1,4,6,8,11,13],[1,4,7,9,11,12],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,8,9,12,13],[2,4,5,9,11,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,7,8,9,10,13],[3,4,5,8,10,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,12,13],[3,5,7,10,11,13],[3,6,7,8,11,12],[4,5,6,7,8,9]];
G[734]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 735: autom. group order 3, simple
B[735]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,4,7,9,11,12],[1,5,7,8,12,13],[1,5,8,9,10,13],[1,6,7,9,10,12],[2,3,8,9,12,13],[2,4,5,9,11,13],[2,4,6,9,12,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,6,8,11,12],[2,7,8,9,10,11],[3,4,5,8,10,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,6,9,10,12],[3,5,7,11,12,13],[3,6,7,8,11,13],[4,5,6,7,8,9]];
G[735]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 736: autom. group order 3, simple
B[736]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,11,12,13],[1,4,6,8,10,12],[1,4,7,9,10,11],[1,5,7,8,11,13],[1,5,8,9,10,12],[1,6,7,9,12,13],[2,3,8,9,12,13],[2,4,5,9,10,13],[2,4,6,9,11,12],[2,4,7,10,11,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,7,8,9,11,12],[3,4,5,8,11,12],[3,4,6,7,12,13],[3,4,8,9,10,13],[3,5,6,9,10,11],[3,5,7,10,12,13],[3,6,7,8,10,11],[4,5,6,7,8,9]];
G[736]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 737: autom. group order 3, simple
B[737]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,3,10,11,12],[1,2,6,8,10,13],[1,3,6,9,11,13],[1,4,5,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,9,10,11],[1,6,7,9,11,12],[2,3,8,9,12,13],[2,4,5,9,11,12],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,7,12,13],[2,5,6,8,10,11],[2,7,8,9,11,13],[3,4,5,8,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,9,10,13],[3,5,7,10,12,13],[3,6,7,8,11,12],[4,5,6,7,8,9]];
G[737]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,11)]);
# Design 738: autom. group order 3, simple
B[738]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,6,7,10,12],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,9,11,12],[1,6,8,10,11,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,9,10,13],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,7,9,10,11,12],[3,4,5,9,10,11],[3,4,6,11,12,13],[3,4,7,8,10,12],[3,5,6,9,12,13],[3,5,7,8,9,13],[3,6,7,8,9,11],[4,5,6,7,10,11]];
G[738]:=Group([(1,4,10)(2,11,12)(3,5,7)(8,9,13)]);
# Design 739: autom. group order 3, simple, derived
B[739]:=[[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],[1,4,5,7,10,12],[1,4,6,9,12,13],[1,4,7,9,10,13],[1,5,8,9,11,13],[1,5,8,10,11,12],[1,6,7,8,11,12],[2,3,7,8,12,13],[2,4,5,11,12,13],[2,4,6,8,10,12],[2,4,8,9,10,11],[2,5,6,7,10,11],[2,5,6,8,9,13],[2,7,9,10,12,13],[3,4,5,7,11,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,10,12,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,8,9]];
G[739]:=Group([(1,7,9)(2,6,5)(3,11,8)(4,10,13)]);
# Design 740: autom. group order 3, 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],[1,3,6,10,12,13],[1,4,5,7,8,12],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,9,10,11],[1,6,7,8,11,12],[2,3,7,8,9,13],[2,4,5,11,12,13],[2,4,6,8,10,12],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,7,9,10,11,12],[3,4,5,9,11,12],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,5,7,8,11,13],[3,6,8,9,12,13],[4,5,6,7,9,13]];
G[740]:=Group([(1,8,13)(2,6,5)(3,12,7)(4,9,10)]);
# Design 741: autom. group order 3, 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],[1,3,6,8,12,13],[1,4,5,8,10,11],[1,4,6,9,10,12],[1,4,7,9,10,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,11,12],[2,3,7,8,10,13],[2,4,5,11,12,13],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,9,13],[2,8,9,10,11,12],[3,4,5,7,11,12],[3,4,6,9,11,13],[3,4,8,10,11,13],[3,5,6,10,12,13],[3,5,7,8,9,12],[3,6,7,9,10,11],[4,5,6,7,8,9]];
G[741]:=Group([(1,7,9)(2,6,5)(3,11,8)(4,10,13)]);
# Design 742: autom. group order 3, simple
B[742]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,10,12,13],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,7,8,9,13],[2,4,5,7,10,13],[2,4,6,9,10,12],[2,4,10,11,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,5,9,11,13],[3,4,6,7,12,13],[3,4,8,9,10,12],[3,5,6,8,10,12],[3,5,7,9,11,12],[3,6,8,10,11,13],[4,5,6,7,9,11]];
G[742]:=Group([(1,2,8)(3,7,4)(5,9,11)(6,13,12)]);
# Design 743: autom. group order 3, simple, derived
B[743]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,11],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,9,10,13],[1,5,8,9,11,13],[1,6,7,10,12,13],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,7,10,13],[2,4,9,10,11,12],[2,5,6,7,8,11],[2,5,6,8,12,13],[2,7,8,9,10,12],[3,4,5,7,9,12],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,7,11,12,13],[3,6,8,9,10,11],[4,5,6,7,9,11]];
G[743]:=Group([(1,2,8)(3,7,4)(5,9,12)(6,13,11)]);
# Design 744: autom. group order 3, simple, derived
B[744]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,9,10,12],[1,5,8,9,12,13],[1,6,7,10,11,13],[2,3,7,8,9,13],[2,4,5,10,12,13],[2,4,6,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,5,7,9,11],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,10,11,13],[3,6,8,9,10,12],[4,5,6,7,9,13]];
G[744]:=Group([(1,2,8)(3,7,4)(5,9,11)(6,13,12)]);
# Design 745: autom. group order 3, simple
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],[1,2,6,9,11,12],[1,3,6,7,10,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,7,8,9,13],[2,4,5,9,10,12],[2,4,6,10,11,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,5,7,9,11],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,10,12,13],[3,6,8,9,10,11],[4,5,6,7,9,13]];
G[745]:=Group([(1,2,8)(3,7,4)(5,9,11)(6,13,12)]);
# Design 746: autom. group order 3, simple
B[746]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,7,10,12,13],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,6,9,10,12],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,7,8,9,10,11],[3,4,5,7,9,11],[3,4,6,8,10,12],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,9,10,12],[3,6,8,10,11,13],[4,5,6,7,9,13]];
G[746]:=Group([(1,2,8)(3,7,4)(5,9,11)(6,13,12)]);
# Design 747: autom. group order 3, simple
B[747]:=[[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],[1,3,8,10,12,13],[1,4,5,6,10,12],[1,4,6,8,9,11],[1,4,7,9,10,13],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,9,11,12,13],[2,4,5,8,11,13],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,7,8,10,13],[3,4,5,9,10,13],[3,4,6,9,11,13],[3,4,7,8,11,12],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,6,7,8,9,10],[4,5,7,10,11,12]];
G[747]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 748: autom. group order 3, simple
B[748]:=[[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],[1,3,8,10,12,13],[1,4,5,6,12,13],[1,4,6,8,9,10],[1,4,7,9,10,11],[1,5,7,8,11,13],[1,5,8,9,12,13],[1,6,7,9,11,12],[2,3,9,11,12,13],[2,4,5,8,11,12],[2,4,6,7,12,13],[2,4,8,9,10,12],[2,5,6,8,9,11],[2,5,7,9,10,13],[2,6,7,8,10,13],[3,4,5,9,10,13],[3,4,6,9,11,13],[3,4,7,8,11,13],[3,5,6,7,10,12],[3,5,6,8,10,11],[3,6,7,8,9,12],[4,5,7,10,11,12]];
G[748]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 749: autom. group order 3, simple
B[749]:=[[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],[1,3,8,10,12,13],[1,4,5,6,12,13],[1,4,6,8,9,11],[1,4,7,9,10,12],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,11,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,11,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,11,12],[3,5,6,8,10,13],[3,6,7,8,9,10],[4,5,7,10,11,12]];
G[749]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 750: autom. group order 3, simple
B[750]:=[[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],[1,3,8,10,12,13],[1,4,5,6,11,12],[1,4,6,8,9,12],[1,4,7,9,10,13],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,9,11,13],[2,3,9,11,12,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,9,10],[2,5,7,9,10,12],[2,6,7,8,11,12],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,6,8,10,13],[3,6,7,8,9,11],[4,5,7,10,11,12]];
G[750]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 751: autom. group order 3, simple
B[751]:=[[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],[1,3,8,10,12,13],[1,4,5,6,11,13],[1,4,6,8,9,12],[1,4,7,9,11,13],[1,5,7,8,11,12],[1,5,8,9,10,13],[1,6,7,9,10,12],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,4,8,9,10,11],[2,5,6,8,9,10],[2,5,7,9,12,13],[2,6,7,8,11,13],[3,4,5,9,10,11],[3,4,6,9,12,13],[3,4,7,8,10,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,6,7,8,9,11],[4,5,7,10,11,12]];
G[751]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 752: autom. group order 3, 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],[1,3,8,9,12,13],[1,4,5,6,8,12],[1,4,6,10,11,13],[1,4,7,9,11,13],[1,5,7,10,11,12],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,4,8,9,10,11],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,5,7,9,10],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,6,10,11,13],[3,6,7,8,9,13],[4,5,8,9,11,12]];
G[752]:=Group([(1,4,12)(2,9,10)(3,11,7)(5,8,6)]);
# Design 753: autom. group order 3, simple, derived
B[753]:=[[1,2,3,4,5,6],[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],[1,4,5,6,7,12],[1,4,6,9,10,13],[1,4,7,9,10,11],[1,5,8,9,11,13],[1,5,8,10,12,13],[1,6,7,8,12,13],[2,3,7,9,12,13],[2,4,5,8,11,12],[2,4,6,10,11,13],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,10,12,13],[3,4,6,8,11,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,6,8,9,11],[3,6,7,10,11,12],[4,5,7,9,11,12]];
G[753]:=Group([(1,4,7)(2,12,10)(3,5,11)(6,9,8)]);
# Design 754: autom. group order 3, 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],[1,2,6,9,11,12],[1,3,7,8,10,11],[1,4,5,6,9,13],[1,4,6,7,10,13],[1,4,7,8,9,12],[1,5,7,10,11,13],[1,5,8,11,12,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,4,5,7,10,12],[2,4,6,8,11,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,10,12,13],[3,4,5,8,12,13],[3,4,6,10,11,12],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[3,6,7,8,9,13],[4,5,7,9,11,12]];
G[754]:=Group([(1,7,12)(2,11,10)(3,5,6)(4,9,8)]);
# Design 755: autom. group order 3, simple, derived
B[755]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,9,11,12],[1,3,7,8,9,13],[1,4,5,6,10,13],[1,4,6,7,10,11],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,7,10,11,13],[2,4,5,8,12,13],[2,4,6,8,9,11],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,6,7,10,12,13],[3,4,5,7,9,12],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,10,12],[3,6,8,9,10,13],[4,5,7,9,11,13]];
G[755]:=Group([(1,2,8)(3,4,7)(5,12,9)(6,10,13)]);
# Design 756: autom. group order 3, simple, derived
B[756]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,7,11,12],[1,2,6,9,10,13],[1,3,9,11,12,13],[1,4,5,6,10,11],[1,4,6,7,8,13],[1,4,8,9,11,12],[1,5,7,8,9,13],[1,5,7,10,12,13],[1,6,8,10,11,12],[2,3,8,10,12,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,4,8,9,10,11],[2,5,6,7,11,12],[2,5,6,8,9,12],[2,6,7,9,11,13],[3,4,5,9,11,13],[3,4,6,7,9,12],[3,4,6,10,12,13],[3,5,6,8,11,13],[3,5,7,8,10,11],[3,6,7,8,9,10],[4,5,7,9,10,12]];
G[756]:=Group([(1,2,11)(3,7,12)(4,6,9)(5,13,8)]);
# Design 757: autom. group order 3, simple, derived
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],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,6,10,12],[1,4,6,8,9,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,8,9,10,12],[2,4,5,7,10,11],[2,4,7,8,9,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,6,9,11,13],[2,6,7,9,10,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,5,6,7,8,9],[3,5,7,10,12,13],[3,6,8,10,11,12],[4,5,7,9,11,12]];
G[757]:=Group([(1,4,11)(2,12,10)(3,9,8)(5,7,6)]);
# Design 758: autom. group order 3, simple
B[758]:=[[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],[1,3,9,10,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,4,6,8,9,12],[1,5,6,7,11,13],[1,5,8,9,10,12],[1,7,8,9,11,13],[2,3,8,11,12,13],[2,4,5,8,12,13],[2,4,6,9,10,11],[2,4,7,9,11,12],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,8,9,10],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,6,8,9,11],[3,6,7,8,11,12],[4,5,7,10,11,12]];
G[758]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 759: autom. group order 3, simple
B[759]:=[[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],[1,3,9,10,12,13],[1,4,5,8,11,13],[1,4,6,7,11,12],[1,4,6,8,9,10],[1,5,6,7,12,13],[1,5,8,9,11,12],[1,7,8,9,10,13],[2,3,8,11,12,13],[2,4,5,8,10,13],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,9,10,11],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[3,6,7,8,10,11],[4,5,7,10,11,12]];
G[759]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 760: autom. group order 3, simple
B[760]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,6,7,11,13],[1,4,6,8,9,12],[1,5,6,7,10,12],[1,5,8,9,10,11],[1,7,8,9,11,13],[2,3,8,11,12,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,9,10,13],[2,5,6,9,12,13],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,9,10,13],[3,4,6,8,10,13],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,11],[3,6,7,8,10,12],[4,5,7,10,11,12]];
G[760]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 761: autom. group order 3, simple, derived
B[761]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,7,8,10,12],[1,4,5,10,12,13],[1,4,6,7,11,12],[1,4,6,8,9,10],[1,5,6,8,11,13],[1,5,8,9,12,13],[1,7,9,10,11,13],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,6,8,12,13],[2,4,9,10,11,12],[2,5,6,7,10,13],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,8,9,11],[3,4,6,10,11,13],[3,4,7,9,12,13],[3,5,6,7,10,12],[3,5,6,9,11,12],[3,6,7,8,9,13],[4,5,7,8,10,11]];
G[761]:=Group([(1,11,13)(2,8,9)(3,5,7)(6,10,12)]);
# Design 762: autom. group order 3, simple, derived
B[762]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,6,9,10,11],[1,4,6,9,12,13],[1,5,6,8,10,11],[1,5,7,8,12,13],[1,7,8,9,10,12],[2,3,8,10,11,13],[2,4,5,8,9,12],[2,4,6,7,8,10],[2,4,7,9,11,13],[2,5,6,7,9,13],[2,5,9,10,11,12],[2,6,8,10,12,13],[3,4,5,7,10,12],[3,4,6,10,12,13],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,6,7,8,9,11],[4,5,7,10,11,13]];
G[762]:=Group([(1,2,9)(3,5,10)(4,12,7)(6,11,13)]);
# Design 763: autom. group order 3, simple
B[763]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,11],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,6,8,12,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,4,7,10,11,13],[2,5,6,7,10,13],[2,5,9,10,11,12],[2,6,7,8,9,11],[3,4,5,7,11,12],[3,4,6,7,9,12],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,5,6,9,11,13],[3,6,8,10,11,12],[4,5,7,9,12,13]];
G[763]:=Group([(1,2,10)(3,5,9)(4,12,7)(6,11,13)]);
# Design 764: autom. group order 3, simple, derived
B[764]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,3,11,12,13],[1,2,6,7,9,11],[1,3,8,10,11,12],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,4,6,9,11,12],[1,5,6,7,10,13],[1,5,7,8,11,13],[1,7,8,9,10,12],[2,3,7,8,9,13],[2,4,5,8,11,12],[2,4,6,8,9,10],[2,4,7,10,12,13],[2,5,6,8,12,13],[2,5,9,10,11,13],[2,6,7,10,11,12],[3,4,5,7,10,12],[3,4,6,7,11,13],[3,4,9,10,11,13],[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[764]:=Group([(1,10,11)(2,7,5)(3,12,8)(6,13,9)]);
# Design 765: autom. group order 3, simple
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],[1,2,6,7,11,12],[1,3,7,8,9,10],[1,4,5,9,11,13],[1,4,6,8,10,12],[1,4,6,9,12,13],[1,5,6,8,10,13],[1,5,7,10,11,12],[1,7,8,9,11,13],[2,3,9,10,12,13],[2,4,5,8,9,11],[2,4,7,10,11,13],[2,4,8,10,12,13],[2,5,6,7,8,13],[2,5,6,7,9,12],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,9,13],[3,4,6,7,10,11],[3,5,6,10,11,13],[3,5,7,8,12,13],[3,6,8,9,11,12],[4,5,7,9,10,12]];
G[765]:=Group([(1,8,12)(2,9,5)(3,11,7)(4,6,10)]);
# Design 766: autom. group order 3, simple
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],[1,3,7,8,9,13],[1,4,5,7,10,11],[1,4,6,8,9,12],[1,4,6,10,12,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,9,10,11,12],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,5,6,9,11],[3,4,7,9,10,13],[3,4,8,11,12,13],[3,5,6,7,8,12],[3,5,6,10,12,13],[3,6,7,8,10,11],[4,5,7,9,11,12]];
G[766]:=Group([(1,4,9)(2,11,13)(3,5,7)(6,12,8)]);
# Design 767: autom. group order 3, simple
B[767]:=[[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],[1,3,8,10,12,13],[1,4,5,9,10,12],[1,4,6,7,11,13],[1,4,8,9,10,11],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,8,9,12],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,6,8,9,10],[2,4,7,8,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,6,10,13],[3,4,6,7,11,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,8,10,13],[3,6,7,9,10,12],[4,5,7,10,11,12]];
G[767]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 768: autom. group order 3, simple
B[768]:=[[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],[1,3,8,10,12,13],[1,4,5,9,11,12],[1,4,6,7,12,13],[1,4,8,9,11,13],[1,5,6,8,10,11],[1,5,7,9,10,13],[1,6,7,8,9,12],[2,3,9,11,12,13],[2,4,5,9,10,13],[2,4,6,8,9,10],[2,4,7,8,11,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,6,12,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,5,7,8,11,13],[3,6,7,9,10,13],[4,5,7,10,11,12]];
G[768]:=Group([(1,2,3)(4,5,7)(6,9,8)(10,11,12)]);
# Design 769: autom. group order 3, simple, derived
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],[1,3,7,8,9,11],[1,4,5,7,9,13],[1,4,6,8,10,12],[1,4,9,10,12,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,9,10,12,13],[2,4,5,8,11,13],[2,4,6,8,9,12],[2,4,7,8,10,13],[2,5,6,7,9,10],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,6,10,11],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,8,12,13],[3,5,7,8,10,12],[3,6,7,8,9,13],[4,5,7,9,11,12]];
G[769]:=Group([(1,4,7)(2,8,3)(5,13,9)(6,10,11)]);
# Design 770: autom. group order 3, simple, derived
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],[1,3,7,8,10,12],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,8,9,13],[1,5,7,11,12,13],[1,6,8,9,10,12],[2,3,9,10,11,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,4,7,8,9,13],[2,5,6,7,10,12],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,6,9,12],[3,4,6,7,11,12],[3,4,9,10,12,13],[3,5,6,8,11,13],[3,5,7,8,9,11],[3,6,7,8,10,13],[4,5,7,9,10,11]];
G[770]:=Group([(1,4,7)(2,8,3)(5,13,10)(6,9,12)]);
# Design 771: autom. group order 3, 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],[1,2,6,7,11,12],[1,3,7,9,11,13],[1,4,5,9,10,11],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,4,7,8,9,12],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,6,9,10,11,13],[3,4,5,6,11,12],[3,4,6,7,9,10],[3,4,8,10,11,13],[3,5,6,7,8,13],[3,5,7,10,12,13],[3,6,8,9,11,12],[4,5,7,9,11,12]];
G[771]:=Group([(1,8,11)(2,12,5)(3,9,4)(6,10,7)]);
# Design 772: autom. group order 3, simple, derived
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],[1,3,7,11,12,13],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,5,7,9,10,13],[1,6,7,8,10,11],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,8,9,11,12],[3,4,5,6,9,11],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,8,13],[3,5,7,8,9,12],[3,6,9,10,11,13],[4,5,7,9,11,12]];
G[772]:=Group([(1,8,11)(2,12,4)(3,9,5)(6,10,7)]);
# Design 773: autom. group order 3, 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],[1,3,7,8,9,11],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,4,8,10,12,13],[1,5,6,8,9,13],[1,5,7,9,10,12],[1,6,7,10,11,13],[2,3,9,10,12,13],[2,4,5,8,11,12],[2,4,6,7,9,10],[2,4,7,8,10,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,8,9,10,11],[3,4,5,6,10,11],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,8,10,12],[3,6,8,10,11,12],[4,5,7,9,11,12]];
G[773]:=Group([(1,6,12)(2,11,7)(3,10,5)(4,8,9)]);
# Design 774: autom. group order 3, simple
B[774]:=[[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],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,4,8,9,11,12],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,8,11,12,13],[2,4,5,9,10,13],[2,4,6,8,12,13],[2,4,7,9,11,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,5,6,7,12,13],[3,5,6,8,10,11],[3,7,8,9,10,13],[4,5,7,10,11,12]];
G[774]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 775: autom. group order 3, simple
B[775]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,6,7,10,11],[1,4,8,9,11,13],[1,5,6,9,11,12],[1,5,7,8,10,13],[1,6,7,8,9,12],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,6,8,10,12],[2,4,7,9,10,13],[2,5,6,8,9,10],[2,5,7,8,11,12],[2,6,7,9,12,13],[3,4,5,9,10,12],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,5,6,7,11,13],[3,5,6,8,10,13],[3,7,8,9,10,11],[4,5,7,10,11,12]];
G[775]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,12)]);
# Design 776: autom. group order 3, 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],[1,3,7,8,10,12],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,7,12,13],[1,5,8,9,10,11],[1,6,8,9,12,13],[2,3,10,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,9,12],[3,4,6,9,10,11],[3,5,6,7,8,11],[3,5,6,8,11,13],[3,7,8,9,10,13],[4,5,7,10,11,12]];
G[776]:=Group([(1,4,7)(2,8,3)(5,13,10)(6,11,12)]);
# Design 777: autom. group order 3, 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],[1,3,7,8,10,12],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,7,12,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,10,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,9,11,12],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,5,6,7,8,11],[3,5,6,8,11,13],[3,7,8,9,10,13],[4,5,7,10,11,12]];
G[777]:=Group([(1,4,7)(2,8,3)(5,13,10)(6,11,12)]);
# Design 778: autom. group order 3, 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],[1,3,7,8,10,12],[1,4,5,7,10,13],[1,4,6,10,11,13],[1,4,8,9,11,12],[1,5,6,7,12,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,10,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,9,10,11],[3,4,5,9,10,11],[3,4,6,7,9,12],[3,4,6,9,12,13],[3,5,6,7,8,11],[3,5,6,8,11,13],[3,7,8,9,10,13],[4,5,7,10,11,12]];
G[778]:=Group([(1,4,7)(2,8,3)(5,13,10)(6,11,12)]);
# Design 779: autom. group order 3, 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],[1,3,7,8,9,12],[1,4,5,7,10,12],[1,4,6,8,12,13],[1,4,9,10,11,13],[1,5,6,10,11,12],[1,5,7,8,11,13],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,4,5,8,10,11],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,7,9,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,9,12,13],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,5,6,7,10,13],[3,5,6,8,11,12],[3,7,9,10,11,12],[4,5,7,8,9,11]];
G[779]:=Group([(1,8,10)(2,5,7)(3,11,12)(6,9,13)]);
# Design 780: autom. group order 3, simple
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],[1,3,7,8,10,12],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,4,8,9,10,13],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,8,9,11,12],[2,3,10,11,12,13],[2,4,5,8,9,11],[2,4,6,8,10,12],[2,4,7,8,11,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,9,10,13],[3,4,5,7,9,12],[3,4,6,9,10,13],[3,4,6,9,11,12],[3,5,6,7,8,13],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,7,10,11,12]];
G[780]:=Group([(1,4,7)(2,8,3)(5,11,10)(6,13,12)]);
# Design 781: autom. group order 3, simple, derived
B[781]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,6,7,12,13],[1,6,7,8,10,11],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,6,8,10,13],[2,4,5,7,8,9],[2,4,6,8,11,12],[2,4,7,10,11,13],[2,5,7,10,11,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,6,7,9,11],[3,4,8,9,10,12],[3,4,10,11,12,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,7,8,12,13],[4,5,6,9,10,13]];
G[781]:=Group([(1,4,11)(2,10,8)(3,13,6)(5,12,9)]);
# Design 782: autom. group order 3, simple, derived
B[782]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,12],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,6,7,8,11,13],[1,6,8,10,11,12],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,6,7,11,13],[3,4,6,10,11,12],[3,4,7,8,9,10],[3,5,6,8,9,12],[3,5,6,9,10,13],[3,5,7,8,10,13],[4,5,7,9,11,12]];
G[782]:=Group([(1,2,13)(3,12,9)(5,8,6)(7,10,11)]);
# Design 783: autom. group order 3, simple
B[783]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,5,10,11,13],[1,4,6,7,11,12],[1,6,7,8,10,12],[1,6,8,9,10,13],[1,7,9,11,12,13],[2,3,7,10,12,13],[2,4,5,9,10,12],[2,4,6,11,12,13],[2,4,7,8,9,11],[2,5,6,8,12,13],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,8,10,13],[3,5,6,7,9,11],[3,5,6,7,9,13],[3,5,8,10,11,12],[4,5,7,9,10,12]];
G[783]:=Group([(1,2,13)(3,12,9)(4,6,8)(7,11,10)]);
# Design 784: autom. group order 3, simple, derived
B[784]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,7,8,12],[1,4,5,6,9,13],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,6,7,8,9,12],[1,6,7,9,11,13],[1,8,10,11,12,13],[2,3,6,8,11,13],[2,4,5,9,11,12],[2,4,6,7,10,12],[2,4,8,9,12,13],[2,5,6,8,10,13],[2,5,7,11,12,13],[2,6,7,8,9,10],[3,4,6,7,11,13],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,6,9,10,12],[3,5,7,9,10,13],[4,5,7,8,9,11]];
G[784]:=Group([(1,3,10)(2,9,11)(4,5,12)(7,13,8)]);
# Design 785: autom. group order 3, simple, derived
B[785]:=[[1,2,3,4,5,6],[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],[1,4,5,6,8,9],[1,4,5,7,10,12],[1,4,6,10,11,13],[1,6,7,8,9,13],[1,6,7,9,11,12],[1,8,10,11,12,13],[2,3,6,8,11,12],[2,4,5,9,11,13],[2,4,6,10,12,13],[2,4,7,9,12,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,8,9,10],[3,4,6,7,11,12],[3,4,7,8,10,13],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,9,10,13],[3,5,7,9,10,12],[4,5,8,9,11,12]];
G[785]:=Group([(1,3,10)(2,9,11)(4,5,13)(7,12,8)]);
# Design 786: autom. group order 3, simple, derived
B[786]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,11],[1,4,5,6,9,13],[1,4,5,7,11,13],[1,4,6,8,10,12],[1,6,7,11,12,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,4,5,9,11,12],[2,4,6,8,10,13],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,6,10,11,12],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,8,9],[3,5,6,9,10,13],[3,5,8,11,12,13],[4,5,7,9,10,12]];
G[786]:=Group([(1,9,10)(2,11,3)(5,12,6)(7,8,13)]);
# Design 787: autom. group order 3, simple
B[787]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,7,8,10],[1,4,5,6,9,13],[1,4,5,7,11,13],[1,4,6,10,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[1,7,8,11,12,13],[2,3,6,7,12,13],[2,4,5,8,11,12],[2,4,6,7,8,10],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,10,11,13],[3,4,6,10,11,12],[3,4,7,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,6,8,11,13],[3,5,8,10,12,13],[4,5,7,9,10,12]];
G[787]:=Group([(1,2,8)(3,4,7)(5,6,10)(9,11,12)]);
# Design 788: autom. group order 3, simple, derived
B[788]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,7,8,10],[1,4,5,6,9,12],[1,4,5,7,11,13],[1,4,6,10,11,13],[1,6,7,8,9,12],[1,6,8,10,12,13],[1,7,8,9,11,13],[2,3,6,7,12,13],[2,4,5,8,9,13],[2,4,6,7,8,10],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,5,6,8,11,12],[3,5,8,9,10,13],[4,5,7,9,10,12]];
G[788]:=Group([(1,2,8)(3,4,7)(5,6,10)(11,13,12)]);
# Design 789: autom. group order 3, simple
B[789]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,11,12],[1,3,5,7,8,10],[1,4,5,6,11,13],[1,4,5,7,9,13],[1,4,6,10,12,13],[1,6,7,8,11,12],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,7,12,13],[2,4,5,8,9,12],[2,4,6,7,8,10],[2,4,8,11,12,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,9,10,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,10,12,13],[4,5,7,9,10,12]];
G[789]:=Group([(1,2,8)(3,4,7)(5,6,10)(9,12,11)]);
# Design 790: autom. group order 3, simple, derived
B[790]:=[[1,2,3,4,5,6],[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],[1,4,5,6,11,12],[1,4,5,7,11,13],[1,4,6,9,10,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[1,7,8,9,11,12],[2,3,6,7,11,12],[2,4,5,8,9,12],[2,4,6,7,8,10],[2,4,8,9,11,13],[2,5,6,8,11,13],[2,5,7,9,10,11],[2,6,7,10,12,13],[3,4,6,9,10,11],[3,4,7,11,12,13],[3,4,8,10,12,13],[3,5,6,7,9,13],[3,5,6,8,9,12],[3,5,8,10,11,13],[4,5,7,9,10,12]];
G[790]:=Group([(1,2,8)(3,4,7)(5,6,10)(11,12,13)]);
# Design 791: autom. group order 3, simple, derived
B[791]:=[[1,2,3,4,5,6],[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],[1,4,5,6,11,12],[1,4,5,8,9,13],[1,4,7,9,11,13],[1,6,7,8,10,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,6,11,12,13],[2,4,5,7,12,13],[2,4,6,8,9,10],[2,4,8,10,12,13],[2,5,6,7,9,10],[2,5,6,8,11,13],[2,7,8,9,11,12],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,7,8,9,12],[3,5,8,10,11,13],[4,5,9,10,11,12]];
G[791]:=Group([(1,2,13)(3,12,9)(5,8,7)(6,10,11)]);
# Design 792: autom. group order 3, simple
B[792]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,4,5,7,11,12],[2,4,5,8,9,13],[2,4,8,10,11,12],[2,5,7,8,9,13],[2,6,7,10,11,13],[2,6,8,9,10,12],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,9,11],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,6,7,9,10]];
G[792]:=Group([(2,8,11)(3,7,9)(4,12,10)(5,6,13)]);
# Design 793: autom. group order 3, simple
B[793]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,11],[1,4,6,10,11,12],[1,4,7,10,12,13],[1,5,6,8,9,13],[1,6,7,8,12,13],[1,7,8,9,10,11],[2,3,7,8,11,13],[2,4,5,7,11,12],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,5,9,10,12,13],[2,6,7,9,11,12],[2,6,8,10,11,13],[3,4,6,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,12],[3,5,6,7,9,10],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,7,9,11,13]];
G[793]:=Group([(1,2,12)(3,9,13)(4,6,7)(5,11,10)]);
# Design 794: autom. group order 3, simple
B[794]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,11],[1,4,6,7,11,12],[1,4,8,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,10,11,12,13],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,5,7,9,11,12],[2,6,7,8,11,13],[2,7,8,9,10,12],[3,4,6,9,10,11],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,6,8,10,12],[3,5,7,10,11,13],[4,5,6,7,9,13]];
G[794]:=Group([(1,2,12)(3,9,13)(4,7,10)(5,11,6)]);
# Design 795: autom. group order 3, simple, derived
B[795]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,12],[1,4,8,9,10,13],[1,5,8,11,12,13],[1,6,7,9,11,12],[1,6,7,10,11,13],[2,3,6,7,8,11],[2,4,5,9,10,11],[2,4,5,11,12,13],[2,4,6,7,12,13],[2,5,7,8,9,13],[2,6,8,10,11,13],[2,7,8,9,10,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,8,9,13],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,6,7,9,10]];
G[795]:=Group([(1,2,8)(3,7,4)(5,6,11)(10,13,12)]);
# Design 796: autom. group order 3, simple, derived
B[796]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,12],[1,4,8,9,10,13],[1,5,8,11,12,13],[1,6,7,9,11,13],[1,6,7,10,11,12],[2,3,6,7,8,11],[2,4,5,9,11,12],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,5,7,8,9,13],[2,6,8,10,11,13],[2,7,8,9,10,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,4,8,10,11,12],[3,5,6,8,9,10],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,7,9,10]];
G[796]:=Group([(1,2,8)(3,7,4)(5,6,11)(10,13,12)]);
# Design 797: autom. group order 3, simple, derived
B[797]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,13],[1,4,6,8,9,11],[1,4,8,9,10,12],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,10,11,12,13],[2,3,6,7,8,12],[2,4,5,8,11,13],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,5,6,8,10,11],[2,6,7,9,11,13],[2,7,8,10,12,13],[3,4,6,8,10,13],[3,4,6,11,12,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,8,9,10,13],[3,5,8,9,11,12],[4,5,6,7,9,12]];
G[797]:=Group([(1,7,8)(2,9,5)(3,6,11)(4,13,12)]);
# Design 798: autom. group order 3, simple, derived
B[798]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,13],[1,6,7,8,11,12],[2,3,6,7,11,13],[2,4,5,7,9,13],[2,4,5,8,11,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,6,7,9,10,11],[2,7,8,10,12,13],[3,4,6,8,9,12],[3,4,6,8,10,13],[3,4,7,9,11,12],[3,5,6,11,12,13],[3,5,7,10,12,13],[3,5,8,9,10,11],[4,5,6,7,9,10]];
G[798]:=Group([(2,7,13)(3,8,9)(4,6,12)(5,11,10)]);
# Design 799: autom. group order 3, simple, derived
B[799]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,13],[1,4,7,8,11,12],[1,5,8,11,12,13],[1,6,7,9,10,13],[1,6,7,10,11,12],[2,3,7,8,10,13],[2,4,5,6,11,13],[2,4,5,7,10,12],[2,4,9,11,12,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[2,6,8,10,11,13],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,9,12],[3,5,8,10,12,13],[4,5,7,9,10,13]];
G[799]:=Group([(1,2,8)(3,7,4)(5,10,11)(6,13,12)]);
# Design 800: autom. group order 3, simple, derived
B[800]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,6,10,11,12],[1,6,7,8,11,13],[1,8,9,11,12,13],[2,3,8,10,12,13],[2,4,5,8,9,11],[2,4,5,11,12,13],[2,4,6,7,12,13],[2,5,6,8,10,13],[2,6,7,8,9,10],[2,6,7,9,11,12],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[3,5,7,9,10,13],[4,5,8,9,10,12]];
G[800]:=Group([(1,2,13)(3,12,9)(5,6,7)(8,11,10)]);
# Design 801: autom. group order 3, simple, derived
B[801]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,13],[1,4,6,9,11,13],[1,4,7,10,11,12],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,8,9,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,11],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,10,11,13],[2,6,7,8,9,12],[2,6,7,9,10,11],[3,4,6,8,9,10],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,9,12],[3,5,7,8,11,13],[3,5,7,9,10,13],[4,5,8,9,11,12]];
G[801]:=Group([(1,2,13)(3,12,9)(5,6,7)(8,10,11)]);
# Design 802: autom. group order 3, simple
B[802]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,6,9,11,13],[1,4,8,10,11,12],[1,5,6,8,9,13],[1,6,7,8,11,12],[1,7,9,10,12,13],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,5,9,11,12],[2,4,6,7,9,10],[2,5,6,10,11,13],[2,6,7,8,9,11],[2,6,8,10,12,13],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,7,8,9,13],[3,5,8,9,10,11],[4,5,7,9,10,12]];
G[802]:=Group([(1,2,13)(3,12,9)(4,8,6)(7,10,11)]);
# Design 803: autom. group order 3, simple
B[803]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,6,7,12],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,4,7,8,9,13],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,8,11,12,13],[2,4,5,6,9,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,5,7,8,10,12],[2,6,7,9,11,13],[2,6,7,10,12,13],[3,4,6,7,11,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,9,10],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,7,9,11,12]];
G[803]:=Group([(1,5,9)(2,6,10)(4,8,11)(7,13,12)]);
# Design 804: autom. group order 3, simple
B[804]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,6,7,12],[1,4,5,8,9,10],[1,4,6,11,12,13],[1,4,7,8,9,13],[1,5,8,10,12,13],[1,6,7,10,11,13],[1,6,8,9,11,12],[2,3,8,10,12,13],[2,4,5,6,9,13],[2,4,5,11,12,13],[2,4,6,8,10,11],[2,5,7,8,11,12],[2,6,7,8,9,12],[2,6,7,9,10,13],[3,4,6,7,10,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,6,8,10,13],[3,5,7,9,11,13],[4,5,7,9,10,12]];
G[804]:=Group([(1,5,9)(2,6,11)(4,8,10)(7,13,12)]);
# Design 805: autom. group order 3, simple
B[805]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,11],[1,3,5,6,7,12],[1,4,5,8,10,12],[1,4,6,9,11,13],[1,4,7,8,9,13],[1,5,8,11,12,13],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,8,11,12,13],[2,4,5,6,9,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,5,7,8,9,11],[2,6,7,8,9,12],[2,6,7,10,12,13],[3,4,6,7,11,12],[3,4,7,8,10,13],[3,4,9,10,11,12],[3,5,6,8,9,10],[3,5,6,8,11,13],[3,5,7,9,10,13],[4,5,7,9,11,12]];
G[805]:=Group([(1,5,9)(2,6,10)(4,8,11)(7,13,12)]);
# Design 806: autom. group order 3, simple, derived
B[806]:=[[1,2,3,4,5,6],[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],[1,4,5,7,10,11],[1,4,6,10,12,13],[1,4,7,8,9,12],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,8,9,11,13],[2,3,7,8,11,13],[2,4,5,6,9,13],[2,4,5,8,9,12],[2,4,6,8,10,11],[2,5,7,8,10,13],[2,6,7,9,11,12],[2,6,7,10,12,13],[3,4,6,7,11,12],[3,4,8,10,12,13],[3,4,9,10,11,13],[3,5,6,8,9,10],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,7,9,11,13]];
G[806]:=Group([(1,5,9)(2,6,10)(4,8,11)(7,12,13)]);
# Design 807: autom. group order 3, simple
B[807]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,10],[1,4,6,11,12,13],[1,4,7,8,9,12],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,7,10,11,13],[2,3,7,8,10,13],[2,4,5,6,9,13],[2,4,5,7,11,12],[2,4,6,8,10,11],[2,5,7,8,11,13],[2,6,7,9,10,12],[2,6,8,9,12,13],[3,4,6,7,10,12],[3,4,8,11,12,13],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,8,10,12],[3,5,7,9,11,12],[4,5,7,9,10,13]];
G[807]:=Group([(1,5,9)(2,6,11)(4,8,10)(7,12,13)]);
# Design 808: autom. group order 3, simple, derived
B[808]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,9,11,12],[1,4,7,8,9,12],[1,5,8,11,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,7,8,11,13],[2,4,5,6,9,13],[2,4,5,7,10,12],[2,4,6,8,10,11],[2,5,7,8,9,11],[2,6,7,10,12,13],[2,6,8,9,12,13],[3,4,6,7,11,12],[3,4,8,10,12,13],[3,4,9,10,11,13],[3,5,6,8,9,10],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,7,9,11,13]];
G[808]:=Group([(1,5,9)(2,6,10)(4,8,11)(7,12,13)]);
# Design 809: autom. group order 3, simple
B[809]:=[[1,2,3,4,5,6],[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],[1,4,5,6,8,10],[1,4,6,7,12,13],[1,4,6,9,11,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,7,8,11,12,13],[2,3,6,8,11,12],[2,4,5,7,11,13],[2,4,5,8,9,12],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,6,7,9,10,12],[2,6,8,10,11,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,7,8,10,12],[4,5,9,10,11,12]];
G[809]:=Group([(2,6,13)(3,4,12)(5,7,9)(8,11,10)]);
# Design 810: autom. group order 3, simple, derived
B[810]:=[[1,2,3,4,5,6],[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],[1,4,5,6,7,9],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,6,8,11,12],[1,6,7,8,9,10],[1,8,9,10,11,13],[2,3,6,7,11,13],[2,4,5,8,10,13],[2,4,5,9,10,12],[2,4,8,9,11,12],[2,5,6,8,11,13],[2,6,7,8,10,12],[2,6,7,9,12,13],[3,4,6,8,9,11],[3,4,6,10,11,12],[3,4,7,8,10,13],[3,5,6,9,10,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,7,9,11,13]];
G[810]:=Group([(1,2,12)(3,9,13)(5,10,6)(7,8,11)]);
# Design 811: autom. group order 3, simple, derived
B[811]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,11],[1,4,5,6,7,9],[1,4,6,10,12,13],[1,4,7,11,12,13],[1,5,6,8,11,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,8,12,13],[2,4,5,8,10,13],[2,4,5,9,11,12],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,6,7,8,10,12],[2,6,7,9,10,11],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,9,10,13],[3,5,7,8,11,12],[3,5,7,9,12,13],[4,5,8,9,10,12]];
G[811]:=Group([(1,9,10)(2,11,3)(5,12,6)(7,8,13)]);
# Design 812: autom. group order 3, simple, derived
B[812]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,10,11],[1,4,5,6,9,13],[1,4,6,8,10,12],[1,4,7,11,12,13],[1,5,6,7,11,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,4,5,8,10,13],[2,4,5,9,11,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,6,7,9,10,11],[2,6,8,10,12,13],[3,4,6,7,8,9],[3,4,6,10,11,12],[3,4,7,10,11,13],[3,5,6,9,10,13],[3,5,7,8,9,12],[3,5,8,11,12,13],[4,5,7,9,10,12]];
G[812]:=Group([(1,9,10)(2,11,3)(5,12,6)(7,8,13)]);
# Design 813: autom. group order 3, simple, derived
B[813]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,12],[1,4,6,7,9,11],[1,4,8,11,12,13],[1,5,6,8,10,13],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,7,8,12],[2,4,5,6,11,13],[2,4,5,7,9,13],[2,4,6,8,10,12],[2,5,7,8,10,11],[2,6,9,10,12,13],[2,7,8,9,11,13],[3,4,6,9,10,11],[3,4,7,10,12,13],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,9,11,12],[4,5,7,9,10,12]];
G[813]:=Group([(1,8,13)(3,7,9)(4,11,12)(5,10,6)]);
# Design 814: autom. group order 3, simple, derived
B[814]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,12],[1,4,6,7,10,13],[1,4,8,11,12,13],[1,5,6,8,9,11],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,6,7,8,12],[2,4,5,6,11,13],[2,4,5,7,9,13],[2,4,6,8,10,12],[2,5,7,8,10,11],[2,6,9,10,12,13],[2,7,8,9,11,13],[3,4,6,9,10,11],[3,4,7,9,11,12],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,13],[3,5,8,10,12,13],[4,5,7,9,10,12]];
G[814]:=Group([(1,8,13)(3,7,9)(4,11,12)(5,10,6)]);
# Design 815: autom. group order 3, simple, derived
B[815]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,10,12,13],[1,3,5,7,10,11],[1,4,5,7,8,9],[1,4,6,8,10,12],[1,4,8,11,12,13],[1,5,6,8,9,11],[1,6,7,9,10,13],[1,6,7,11,12,13],[2,3,6,8,11,13],[2,4,5,6,10,12],[2,4,5,7,11,13],[2,4,7,9,11,12],[2,5,6,8,9,13],[2,6,7,8,10,11],[2,7,8,9,10,12],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,7,8,12,13],[3,5,8,10,11,12],[4,5,9,10,11,13]];
G[815]:=Group([(2,4,12)(3,8,13)(5,6,10)(7,11,9)]);
# Design 816: autom. group order 3, simple, derived
B[816]:=[[1,2,3,4,5,6],[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],[1,4,5,6,11,13],[1,4,7,8,10,12],[1,4,7,9,10,11],[1,5,8,9,11,12],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,8,10,11],[2,4,5,7,9,13],[2,4,6,7,11,12],[2,4,8,9,10,13],[2,5,7,9,11,12],[2,5,8,10,12,13],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,4,10,11,12,13],[3,5,6,7,9,10],[3,5,7,10,11,13],[3,6,7,8,9,12],[4,5,6,8,9,10]];
G[816]:=Group([(1,3,11)(2,10,9)(4,13,8)(6,7,12)]);
# Design 817: autom. group order 3, simple
B[817]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,6,7,11,13],[1,4,6,8,11,12],[1,5,7,9,11,13],[1,6,9,10,12,13],[1,7,8,10,11,12],[2,3,6,11,12,13],[2,4,5,10,11,13],[2,4,7,10,12,13],[2,4,8,9,11,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[2,6,7,8,9,10],[3,4,5,7,9,12],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,10,11,13],[3,6,7,8,9,13],[4,5,6,9,10,12]];
G[817]:=Group([(1,2,13)(3,12,9)(4,7,5)(6,10,11)]);
# Design 818: autom. group order 3, simple, derived
B[818]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,11],[1,4,5,8,10,13],[1,4,6,7,9,13],[1,4,6,7,11,12],[1,5,8,9,11,13],[1,6,8,11,12,13],[1,7,8,9,10,12],[2,3,6,8,12,13],[2,4,5,9,11,13],[2,4,7,8,10,13],[2,4,7,9,11,12],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,8,9,12],[3,4,6,10,11,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,7,11,12,13],[3,6,7,9,10,13],[4,5,6,9,10,12]];
G[818]:=Group([(1,9,10)(2,11,3)(5,13,6)(7,12,8)]);
# Design 819: autom. group order 3, simple, derived
B[819]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,4,5,7,9,12],[2,4,8,9,10,13],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,8,9,10,12],[4,5,6,7,9,10]];
G[819]:=Group([(2,8,11)(3,7,9)(4,12,10)(5,6,13)]);
# Design 820: autom. group order 3, simple, derived
B[820]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,4,5,7,11,13],[2,4,8,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,7,8,9,13],[2,6,7,10,11,12],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,8,10,11,13],[4,5,6,7,9,10]];
G[820]:=Group([(2,8,11)(3,7,9)(4,12,10)(5,6,13)]);
# Design 821: autom. group order 3, simple
B[821]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,4,5,8,9,12],[2,4,7,10,11,13],[2,4,8,10,11,12],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,8,10,11,12],[4,5,6,7,9,10]];
G[821]:=Group([(2,8,11)(3,7,9)(4,12,10)(5,6,13)]);
# Design 822: autom. group order 3, simple
B[822]:=[[1,2,3,4,5,6],[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],[1,4,5,11,12,13],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,4,5,8,9,12],[2,4,7,10,11,13],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,13],[2,6,7,9,10,12],[3,4,5,7,11,12],[3,4,6,9,12,13],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,10,12,13],[3,6,8,10,11,12],[4,5,6,7,9,10]];
G[822]:=Group([(2,8,11)(3,7,9)(4,12,10)(5,6,13)]);
# Design 823: autom. group order 3, simple
B[823]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,11],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,7,9,10,11,12],[2,3,7,10,11,13],[2,4,5,8,9,10],[2,4,6,9,11,13],[2,4,8,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,7,8,11,13],[3,5,6,7,9,13],[3,5,6,8,10,11],[3,6,8,9,10,12],[4,5,7,9,10,13]];
G[823]:=Group([(1,3,11)(2,10,9)(4,5,8)(7,12,13)]);
# Design 824: autom. group order 3, simple
B[824]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,11],[1,4,5,10,11,13],[1,4,6,7,9,13],[1,4,6,11,12,13],[1,5,8,9,11,12],[1,6,7,8,9,10],[1,7,8,10,12,13],[2,3,7,11,12,13],[2,4,5,7,8,13],[2,4,6,8,9,12],[2,4,8,10,11,12],[2,5,6,7,9,11],[2,5,8,9,10,13],[2,6,7,10,11,13],[3,4,5,9,10,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,7,10,12],[3,5,6,8,12,13],[3,6,8,9,11,13],[4,5,7,9,11,12]];
G[824]:=Group([(1,2,8)(3,4,7)(6,13,11)(9,12,10)]);
# Design 825: autom. group order 3, simple
B[825]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,11],[1,4,5,10,11,13],[1,4,6,7,9,13],[1,4,6,11,12,13],[1,5,8,9,11,12],[1,6,7,8,10,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,8,9,12],[2,4,6,7,8,11],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,8,10,13],[3,4,6,9,10,11],[3,4,7,9,10,12],[3,5,6,7,10,12],[3,5,6,8,9,13],[3,6,8,11,12,13],[4,5,7,9,11,12]];
G[825]:=Group([(1,2,8)(3,4,7)(5,6,11)(9,12,10)]);
# Design 826: autom. group order 3, simple, derived
B[826]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,13],[1,4,6,7,10,12],[1,4,6,9,11,13],[1,5,8,11,12,13],[1,6,7,8,9,11],[1,7,8,9,10,12],[2,3,7,10,11,13],[2,4,5,8,9,10],[2,4,6,7,8,13],[2,4,8,9,11,12],[2,5,6,7,11,12],[2,5,7,9,12,13],[2,6,8,10,11,13],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,8,9,10],[3,6,8,10,12,13],[4,5,7,9,10,13]];
G[826]:=Group([(1,2,8)(3,4,7)(5,6,13)(10,11,12)]);
# Design 827: autom. group order 3, simple
B[827]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,4,6,11,12,13],[1,5,7,8,9,13],[1,6,7,9,10,11],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,7,8,11,12],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,6,7,9,11,12],[3,4,5,7,9,12],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,5,6,10,12,13],[3,5,7,9,11,13],[3,6,7,8,10,12],[4,5,8,9,10,11]];
G[827]:=Group([(1,6,9)(3,5,12)(4,8,13)(7,11,10)]);
# Design 828: autom. group order 3, simple
B[828]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,6,8,9,13],[1,4,6,8,10,12],[1,5,7,11,12,13],[1,6,7,9,10,11],[1,7,8,10,12,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,7,8,11,12],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,6,7,9,11,12],[3,4,5,7,9,12],[3,4,6,7,11,13],[3,4,6,10,11,12],[3,5,6,10,12,13],[3,5,7,8,9,10],[3,6,7,8,9,13],[4,5,8,9,10,11]];
G[828]:=Group([(1,6,9)(3,5,12)(4,8,13)(7,11,10)]);
# Design 829: autom. group order 3, simple, derived
B[829]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,10],[1,4,10,11,12,13],[1,5,6,8,9,11],[1,6,7,10,12,13],[1,7,8,9,11,13],[2,3,6,7,11,13],[2,4,5,8,11,13],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,7,9,11,12],[2,5,8,9,10,12],[2,6,8,10,11,13],[3,4,5,9,10,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,10,11,12],[3,5,7,8,10,13],[3,6,7,8,9,12],[4,5,6,7,9,13]];
G[829]:=Group([(1,2,12)(3,9,13)(4,5,10)(6,8,11)]);
# Design 830: autom. group order 3, simple
B[830]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,8,11,12],[1,5,6,8,10,12],[1,6,7,9,11,13],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,4,5,7,11,13],[2,4,6,8,9,10],[2,4,8,10,12,13],[2,5,7,8,9,11],[2,5,10,11,12,13],[2,6,8,9,11,12],[3,4,5,9,10,11],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,8,9,13],[3,5,7,8,10,13],[3,6,7,10,11,12],[4,5,6,7,9,12]];
G[830]:=Group([(1,2,13)(3,12,9)(4,10,7)(5,11,6)]);
# Design 831: autom. group order 3, simple
B[831]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,6,10,11,12],[1,4,7,8,11,13],[1,5,6,10,12,13],[1,6,7,8,9,12],[1,7,9,10,11,13],[2,3,6,7,11,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,4,8,10,11,12],[2,5,7,8,9,10],[2,5,7,11,12,13],[2,6,8,9,11,12],[3,4,5,9,10,11],[3,4,6,7,9,12],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[3,6,8,9,10,13],[4,5,6,7,9,11]];
G[831]:=Group([(1,9,13)(2,4,11)(3,5,7)(8,10,12)]);
# Design 832: autom. group order 3, simple
B[832]:=[[1,2,3,4,5,6],[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],[1,4,5,8,11,13],[1,4,6,7,9,11],[1,4,10,11,12,13],[1,5,6,7,12,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,7,11,12,13],[2,4,5,9,12,13],[2,4,6,8,9,13],[2,4,7,8,10,12],[2,5,6,8,11,12],[2,5,8,9,10,11],[2,6,7,10,11,13],[3,4,5,7,9,11],[3,4,6,8,10,13],[3,4,6,10,11,12],[3,5,6,9,10,13],[3,5,7,8,11,13],[3,6,7,8,9,12],[4,5,7,9,10,12]];
G[832]:=Group([(1,8,10)(2,11,4)(3,5,12)(7,9,13)]);
# Design 833: autom. group order 3, simple, derived
B[833]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,11],[1,4,6,8,9,12],[1,4,7,8,10,13],[1,5,6,7,11,13],[1,6,8,10,11,12],[1,7,9,11,12,13],[2,3,7,8,11,12],[2,4,5,9,11,13],[2,4,6,7,12,13],[2,4,8,10,11,13],[2,5,6,8,9,12],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,6,9,10,13],[3,4,6,10,11,12],[3,5,6,8,11,13],[3,5,7,8,9,10],[3,6,7,8,9,13],[4,5,7,9,10,12]];
G[833]:=Group([(1,3,8)(2,7,4)(5,11,10)(6,12,13)]);
# Design 834: autom. group order 3, simple, derived
B[834]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,12],[1,4,6,8,9,10],[1,4,7,8,11,13],[1,5,6,7,12,13],[1,6,8,10,12,13],[1,7,9,10,11,13],[2,3,8,10,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,8,9,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,7,10,13],[3,4,6,7,9,12],[3,4,6,10,11,13],[3,5,6,9,11,13],[3,5,7,8,9,10],[3,6,7,8,11,12],[4,5,8,9,10,12]];
G[834]:=Group([(1,10,12)(2,5,9)(3,7,4)(6,8,13)]);
# Design 835: autom. group order 3, simple
B[835]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,11],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,8,11,12],[1,6,7,9,11,12],[1,8,9,10,11,13],[2,3,8,10,11,12],[2,4,5,9,11,13],[2,4,6,7,9,10],[2,4,7,8,11,12],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,7,8,11,13],[3,4,5,11,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,10],[3,6,7,9,12,13],[4,5,8,9,10,12]];
G[835]:=Group([(1,3,11)(2,10,9)(4,6,7)(8,13,12)]);
# Design 836: autom. group order 3, simple
B[836]:=[[1,2,3,4,5,6],[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],[1,4,5,7,9,13],[1,4,6,8,11,12],[1,4,7,10,11,12],[1,5,6,8,11,13],[1,6,7,9,11,13],[1,8,9,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,6,7,9,12],[2,4,7,10,11,13],[2,5,6,9,10,11],[2,5,7,8,11,12],[2,6,7,8,10,13],[3,4,5,10,11,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,5,6,7,12,13],[3,5,7,9,11,12],[3,6,7,8,9,10],[4,5,8,9,10,12]];
G[836]:=Group([(1,3,13)(2,12,9)(4,6,7)(8,10,11)]);
# Design 837: autom. group order 3, simple, derived
B[837]:=[[1,2,3,4,5,6],[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],[1,4,5,9,11,13],[1,4,6,7,9,13],[1,4,7,8,11,12],[1,5,6,8,11,13],[1,6,7,10,11,12],[1,8,9,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,6,8,11,12],[2,4,7,9,10,11],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,6,7,8,9,13],[3,4,5,7,12,13],[3,4,6,8,9,10],[3,4,6,10,12,13],[3,5,6,8,9,11],[3,5,7,9,11,12],[3,6,7,10,11,13],[4,5,8,9,10,12]];
G[837]:=Group([(1,3,13)(2,12,9)(5,7,6)(8,10,11)]);
# Design 838: autom. group order 3, simple, derived
B[838]:=[[1,2,3,4,5,6],[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],[1,4,7,8,10,12],[1,5,6,7,11,13],[1,6,7,9,11,12],[1,8,10,11,12,13],[2,3,7,8,11,13],[2,4,5,7,11,12],[2,4,6,9,10,13],[2,4,10,11,12,13],[2,5,6,8,11,13],[2,5,7,8,9,10],[2,6,7,8,9,12],[3,4,5,9,11,12],[3,4,6,7,12,13],[3,4,6,8,10,11],[3,5,6,8,10,12],[3,5,8,9,12,13],[3,6,7,9,10,11],[4,5,7,9,10,13]];
G[838]:=Group([(1,2,8)(3,7,4)(5,11,10)(6,13,12)]);
# Design 839: autom. group order 3, simple, derived
B[839]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,10,11],[1,4,5,8,9,12],[1,4,6,11,12,13],[1,4,7,9,11,13],[1,5,6,7,8,11],[1,6,8,9,10,13],[1,7,8,10,12,13],[2,3,8,11,12,13],[2,4,5,7,9,13],[2,4,6,8,9,10],[2,4,7,10,11,12],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,8,10,13],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,5,6,9,11,13],[3,5,7,8,9,12],[3,6,7,9,10,12],[4,5,9,10,11,12]];
G[839]:=Group([(1,4,10)(2,12,8)(3,11,13)(5,9,6)]);
# Design 840: autom. group order 3, simple, derived
B[840]:=[[1,2,3,4,5,6],[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],[1,4,6,7,8,9],[1,4,8,10,11,13],[1,5,7,9,11,13],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,7,8,11],[2,4,5,9,11,12],[2,4,6,9,10,13],[2,4,7,11,12,13],[2,5,7,8,9,13],[2,5,7,8,10,12],[2,6,8,10,11,13],[3,4,5,6,11,13],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,8,12,13],[3,5,8,9,10,11],[3,6,7,9,11,12],[4,5,6,7,9,10]];
G[840]:=Group([(1,2,8)(3,7,4)(5,11,9)(10,13,12)]);
# Design 841: autom. group order 3, simple, derived
B[841]:=[[1,2,3,4,5,6],[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],[1,4,6,8,10,13],[1,4,7,9,11,13],[1,5,7,8,9,10],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,6,8,11,13],[2,4,5,10,11,12],[2,4,7,8,9,12],[2,4,8,10,12,13],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,5,6,7,12,13],[3,5,8,9,10,12],[3,7,8,10,11,13],[4,5,6,8,9,11]];
G[841]:=Group([(1,7,8)(2,12,5)(3,6,9)(4,11,10)]);
# Design 842: autom. group order 3, simple
B[842]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,12],[1,4,7,8,9,13],[1,5,7,9,11,13],[1,6,7,8,11,12],[1,6,9,10,12,13],[2,3,8,10,12,13],[2,4,5,6,12,13],[2,4,6,8,9,11],[2,4,7,10,11,13],[2,5,7,11,12,13],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,6,9,11,13],[3,4,7,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,13],[3,6,7,8,10,13],[4,5,8,9,10,12]];
G[842]:=Group([(1,2,13)(3,12,9)(4,5,7)(6,11,8)]);
# Design 843: autom. group order 3, simple, derived
B[843]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,6,8,10,12],[1,4,9,10,12,13],[1,5,7,9,11,13],[1,6,7,8,9,13],[1,6,8,10,11,13],[2,3,7,10,12,13],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,4,7,8,9,11],[2,5,6,9,10,11],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,5,6,9,13],[3,4,6,7,11,13],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,8,10,13],[3,6,7,10,11,12],[4,5,7,9,10,12]];
G[843]:=Group([(1,2,13)(3,12,9)(4,11,7)(5,8,6)]);
# Design 844: autom. group order 3, simple, derived
B[844]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,7,10],[1,3,5,10,11,12],[1,4,5,8,9,13],[1,4,6,8,9,11],[1,4,7,8,10,12],[1,5,7,9,11,13],[1,6,7,10,12,13],[1,6,8,11,12,13],[2,3,7,8,11,13],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,9,12],[2,5,8,10,11,13],[2,6,7,9,11,12],[3,4,5,6,11,12],[3,4,6,7,11,13],[3,4,9,10,12,13],[3,5,6,8,10,13],[3,5,7,8,9,12],[3,6,7,8,9,10],[4,5,7,9,10,11]];
G[844]:=Group([(1,3,8)(2,7,4)(5,13,12)(6,11,10)]);
# Design 845: autom. group order 3, simple, derived
B[845]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,6,10,12],[1,3,5,7,8,11],[1,4,5,10,11,13],[1,4,6,9,11,12],[1,4,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,9,12],[1,6,7,8,10,13],[2,3,7,11,12,13],[2,4,5,7,8,9],[2,4,6,8,11,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,9,10,11],[3,4,5,6,9,13],[3,4,6,8,10,12],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,8,9,10,12],[3,6,8,9,11,13],[4,5,7,9,11,12]];
G[845]:=Group([(1,2,8)(3,4,7)(6,9,11)(10,13,12)]);
# Design 846: autom. group order 3, simple, derived
B[846]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,3,9,12,13],[1,2,5,7,10,12],[1,3,5,8,11,13],[1,4,5,6,10,11],[1,4,6,7,12,13],[1,4,8,10,12,13],[1,5,6,7,8,9],[1,6,8,9,11,12],[1,7,9,10,11,13],[2,3,6,7,11,12],[2,4,5,11,12,13],[2,4,6,8,9,11],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,10,11,13],[3,4,5,7,9,10],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,9,12,13],[3,5,8,10,11,12],[3,6,7,8,10,12],[4,5,7,9,11,12]];
G[846]:=Group([(1,5,12)(2,7,10)(3,9,8)(6,11,13)]);
# Design 847: autom. group order 3, simple, derived
B[847]:=[[1,2,3,4,5,6],[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],[1,4,6,7,8,12],[1,4,9,10,11,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,7,10,11,13],[2,5,6,8,9,11],[2,5,7,9,12,13],[2,6,7,8,9,12],[3,4,5,9,10,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,6,11,12,13]];
G[847]:=Group([(1,3,8)(2,9,10)(4,13,5)(6,11,12)]);
# Design 848: autom. group order 3, simple
B[848]:=[[1,2,3,4,5,6],[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],[2,4,6,8,9,13],[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],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,8,11,13],[4,5,6,9,10,12]];
G[848]:=Group([(1,3,13)(2,10,5)(4,11,8)(6,12,7)]);
# Design 849: autom. group order 3, simple, derived
B[849]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,7,8,9],[1,3,6,10,11,12],[1,4,6,10,11,13],[1,4,7,9,10,13],[1,5,7,8,12,13],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,7,11,13],[2,5,8,9,10,11],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,7,8,11,13],[3,4,8,9,11,13],[3,5,6,9,10,13],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,8,9,12]];
G[849]:=Group([(1,4,8)(2,11,12)(3,13,5)(6,9,10)]);
# Design 850: autom. group order 3, simple, derived
B[850]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,9,10,11],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,8,9,12],[2,3,6,8,12,13],[2,3,7,9,11,12],[2,4,6,9,12,13],[2,4,7,9,10,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,6,7,8,10,11],[3,4,5,8,10,12],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,8,9,11,13],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[850]:=Group([(1,2,8)(3,10,9)(4,11,12)(5,6,7)]);
# Design 851: autom. group order 3, simple
B[851]:=[[1,2,3,4,5,6],[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],[1,4,7,8,9,12],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,9,10,12],[3,4,7,8,11,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,5,6,8,12,13]];
G[851]:=Group([(1,3,11)(2,7,9)(4,13,5)(6,8,12)]);
# Design 852: autom. group order 3, simple
B[852]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,12],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,9,10,11],[2,3,6,9,10,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,8,9,12],[3,4,5,9,10,12],[3,4,7,8,11,13],[3,4,7,9,11,13],[3,5,6,8,9,11],[3,5,8,10,12,13],[4,5,6,7,8,9],[4,5,6,10,11,12]];
G[852]:=Group([(1,3,11)(2,7,9)(4,13,5)(6,8,12)]);
# Design 853: autom. group order 3, simple
B[853]:=[[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],[1,3,6,9,11,13],[1,4,6,9,10,13],[1,4,8,11,12,13],[1,5,7,9,10,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,6,7,8,12],[2,4,7,9,10,11],[2,5,6,8,10,13],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,7,8,9,13],[3,4,8,9,10,12],[3,5,6,9,11,12],[3,5,7,8,11,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[853]:=Group([(2,7,13)(3,10,11)(4,5,12)(6,9,8)]);
# Design 854: autom. group order 3, simple, derived
B[854]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,5,7,9,11,12],[1,6,7,8,9,10],[2,3,6,9,12,13],[2,3,7,10,12,13],[2,4,6,7,9,12],[2,4,8,10,11,12],[2,5,6,10,11,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,10],[3,4,7,8,11,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[854]:=Group([(1,7,8)(2,3,11)(5,13,12)(6,9,10)]);
# Design 855: autom. group order 3, simple, derived
B[855]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,8,11,12],[1,5,7,10,12,13],[1,6,7,8,9,10],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,6,10,11,12],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,9,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,10],[3,4,7,8,11,13],[3,4,7,9,11,13],[3,5,6,9,11,12],[3,5,8,10,11,12],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[855]:=Group([(1,7,9)(2,3,11)(4,13,5)(6,8,10)]);
# Design 856: autom. group order 3, simple, derived
B[856]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,6,7,10,13],[2,4,7,10,12,13],[2,5,6,7,8,11],[2,5,9,11,12,13],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,7,8,9,11],[3,4,7,9,11,12],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[856]:=Group([(1,6,8)(2,4,9)(3,5,10)(7,11,13)]);
# Design 857: autom. group order 3, simple
B[857]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,10,11,12],[1,5,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,6,7,10,13],[2,4,7,9,11,13],[2,5,6,7,8,12],[2,5,10,11,12,13],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,7,8,9,11],[3,4,7,10,12,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[857]:=Group([(1,6,8)(2,4,9)(3,5,10)(7,11,13)]);
# Design 858: autom. group order 3, simple, derived
B[858]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,8,10,12,13],[1,5,7,8,10,11],[1,5,7,9,10,12],[1,6,7,8,11,13],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,6,7,10,13],[2,4,7,9,11,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,12,13],[3,4,7,8,9,11],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,9,11,12,13],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[858]:=Group([(1,6,8)(2,4,9)(3,5,10)(7,11,13)]);
# Design 859: autom. group order 3, simple, derived
B[859]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,5,9,11,13],[1,3,6,8,11,12],[1,3,6,9,12,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,5,9,10,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[859]:=Group([(1,3,8)(2,9,10)(4,13,5)(6,11,12)]);
# Design 860: autom. group order 3, simple, derived
B[860]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,8,11,12],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,7,8,12,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,7,8,10,12],[2,4,7,9,12,13],[2,4,9,10,12,13],[2,5,6,8,9,10],[2,5,6,10,11,12],[2,6,7,8,11,13],[3,4,5,10,11,13],[3,4,6,7,8,9],[3,4,8,10,11,13],[3,5,7,9,11,12],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[860]:=Group([(1,11,13)(2,5,9)(3,12,4)(6,8,10)]);
# Design 861: autom. group order 3, simple
B[861]:=[[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],[1,3,6,9,11,13],[1,4,6,9,10,13],[1,4,8,11,12,13],[1,5,7,9,10,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,7,8,10,11],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,6,7,8,9,13],[3,4,5,8,10,13],[3,4,6,8,10,12],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,9,10,11],[4,5,7,8,9,13]];
G[861]:=Group([(2,7,13)(3,10,11)(4,5,12)(6,9,8)]);
# Design 862: autom. group order 3, simple
B[862]:=[[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],[1,3,6,9,11,13],[1,4,6,9,10,13],[1,4,8,11,12,13],[1,5,7,9,10,12],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,9,10,12,13],[2,4,6,7,9,12],[2,4,7,8,10,11],[2,5,6,8,10,13],[2,5,6,8,12,13],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,9,10,11],[4,5,7,8,9,13]];
G[862]:=Group([(2,7,13)(3,10,11)(4,5,12)(6,9,8)]);
# Design 863: autom. group order 3, simple, derived
B[863]:=[[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],[1,3,6,9,11,12],[1,4,6,8,10,13],[1,4,9,10,11,13],[1,5,7,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,3,8,9,10,11],[2,4,6,7,9,11],[2,4,7,8,10,12],[2,5,6,9,10,13],[2,5,6,9,12,13],[2,6,7,8,11,13],[3,4,5,8,9,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,10,11],[3,5,8,11,12,13],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[863]:=Group([(1,6,10)(3,5,9)(4,13,8)(7,12,11)]);
# Design 864: autom. group order 3, simple, derived
B[864]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,11,12,13],[2,4,6,9,12,13],[2,4,7,9,10,13],[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[864]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 865: autom. group order 3, simple, derived
B[865]:=[[1,2,3,4,5,6],[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],[1,4,7,9,12,13],[1,5,6,9,10,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,6,9,10,12],[2,4,7,9,10,13],[2,5,6,8,12,13],[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[865]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 866: autom. group order 3, simple, derived
B[866]:=[[1,2,3,4,5,6],[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],[1,4,7,9,12,13],[1,5,6,9,12,13],[1,5,7,8,10,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,8,12],[4,5,8,10,11,13]];
G[866]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 867: autom. group order 3, simple, derived
B[867]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,6,9,10,12],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[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[867]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 868: autom. group order 3, simple, derived
B[868]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,11,12,13],[2,4,6,9,12,13],[2,4,7,9,10,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[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[868]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 869: autom. group order 3, simple
B[869]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,10,11,13],[2,4,6,9,10,12],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[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[869]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 870: autom. group order 3, simple, derived
B[870]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,10,11,12],[2,4,6,9,10,12],[2,4,7,9,12,13],[2,5,6,8,12,13],[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],[3,5,8,11,12,13],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[870]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 871: autom. group order 3, simple, derived
B[871]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[3,4,9,10,11,13],[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[871]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 872: autom. group order 3, simple, derived
B[872]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,6,9,10,12],[2,4,7,9,10,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[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],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[872]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 873: autom. group order 3, simple, derived
B[873]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,6,9,10,13],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,8,13],[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[873]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 874: autom. group order 3, simple, derived
B[874]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[874]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 875: autom. group order 3, simple, derived
B[875]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,8,12,13],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[875]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 876: autom. group order 3, simple, derived
B[876]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,8,12,13],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[876]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 877: autom. group order 3, simple, derived
B[877]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,8,12,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[877]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 878: autom. group order 3, simple
B[878]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,6,9,10,12],[1,5,7,11,12,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,8,12,13],[2,4,6,9,12,13],[2,4,7,10,11,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[878]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 879: autom. group order 3, simple, derived
B[879]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,8,10,13],[2,4,6,9,10,12],[2,4,7,10,11,12],[2,5,6,8,12,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[879]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 880: autom. group order 3, simple, derived
B[880]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,8,10,13],[2,4,6,9,12,13],[2,4,7,10,11,12],[2,5,6,8,10,13],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[880]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 881: autom. group order 3, simple, derived
B[881]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,8,10,13],[2,4,6,9,10,13],[2,4,7,10,11,12],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[881]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 882: autom. group order 3, simple, derived
B[882]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,6,9,10,12],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,10,11,13],[2,3,7,8,10,12],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[882]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 883: autom. group order 3, simple, derived
B[883]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[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],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[883]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 884: autom. group order 3, simple, derived
B[884]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[884]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 885: autom. group order 3, simple, derived
B[885]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,12],[1,4,7,8,12,13],[1,5,6,9,12,13],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,7,9,10,13],[2,5,6,9,10,12],[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],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[885]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 886: autom. group order 3, simple, derived
B[886]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,11,12,13],[1,4,7,8,10,13],[1,5,6,9,10,13],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[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],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[886]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 887: autom. group order 3, simple
B[887]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,13],[1,4,6,10,11,13],[1,4,7,8,10,12],[1,5,6,9,10,12],[1,5,7,11,12,13],[1,6,7,8,9,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[887]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 888: autom. group order 3, simple, derived
B[888]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,10,11,13],[2,4,6,10,11,12],[2,4,7,9,10,12],[2,5,6,9,12,13],[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],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[888]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 889: autom. group order 3, simple, derived
B[889]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,10,11,12],[2,4,6,10,11,12],[2,4,7,9,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[889]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 890: autom. group order 3, simple, derived
B[890]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,6,10,11,12],[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],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[890]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 891: autom. group order 3, simple, derived
B[891]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,10,11,13],[1,4,7,8,10,13],[1,5,6,9,10,12],[1,5,7,10,11,12],[1,6,7,8,9,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,9,10,13],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[891]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 892: autom. group order 3, simple, derived
B[892]:=[[1,2,3,4,5,6],[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],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,10,11,12],[2,3,7,11,12,13],[2,4,6,9,12,13],[2,4,7,9,10,13],[2,5,6,8,10,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,8,12],[4,5,8,10,11,13]];
G[892]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 893: autom. group order 3, simple, derived
B[893]:=[[1,2,3,4,5,6],[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],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,6,9,10,13],[2,4,7,9,12,13],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,5,6,7,11,13],[3,5,9,10,11,12],[4,5,6,7,8,12],[4,5,8,10,11,13]];
G[893]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 894: autom. group order 3, simple, derived
B[894]:=[[1,2,3,4,5,6],[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],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[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],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[894]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 895: autom. group order 3, simple, derived
B[895]:=[[1,2,3,4,5,6],[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],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,10,11,12],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[895]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 896: autom. group order 3, simple, derived
B[896]:=[[1,2,3,4,5,6],[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],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,6,10,11,13],[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],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[896]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 897: autom. group order 3, simple, derived
B[897]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,11,12,13],[1,4,7,10,11,13],[1,5,6,9,10,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,10,11,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[897]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 898: autom. group order 3, simple, derived
B[898]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,10,11,12],[1,5,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,10,11,13],[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],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[898]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 899: autom. group order 3, simple, derived
B[899]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,10,11,12],[1,5,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,10,11,12],[2,4,6,8,12,13],[2,4,7,9,12,13],[2,5,6,10,11,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,13],[3,5,6,7,11,12],[3,5,8,11,12,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[899]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 900: autom. group order 3, simple, derived
B[900]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,10,11,12],[1,5,6,9,10,12],[1,5,7,9,12,13],[1,6,7,8,9,11],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,6,8,12,13],[2,4,7,9,10,13],[2,5,6,10,11,13],[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],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[900]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 901: autom. group order 3, simple, derived
B[901]:=[[1,2,3,4,5,6],[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],[1,3,7,8,10,12],[1,4,6,10,11,13],[1,4,7,11,12,13],[1,5,6,9,10,12],[1,5,7,9,10,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,9,10,12],[2,5,6,10,11,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[901]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 902: autom. group order 3, simple
B[902]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,10,11,13],[1,5,6,9,10,12],[1,5,7,9,10,12],[1,6,7,8,9,11],[2,3,6,9,10,13],[2,3,7,10,11,12],[2,4,6,8,10,12],[2,4,7,9,12,13],[2,5,6,11,12,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,8,9,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,8,10],[4,5,8,9,12,13]];
G[902]:=Group([(3,4,5)(8,11,9)(10,12,13)]);
# Design 903: autom. group order 3, simple
B[903]:=[[1,2,3,4,5,6],[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],[1,4,7,8,10,13],[1,5,9,10,11,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,12,13],[2,3,8,9,10,11],[2,4,6,9,11,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,7,8,10,13],[2,5,8,11,12,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,5,6,8,9,12]];
G[903]:=Group([(1,6,10)(2,5,9)(3,4,8)(7,12,11)]);
# Design 904: autom. group order 3, simple, derived
B[904]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,11,12,13],[1,3,6,8,12,13],[1,4,5,9,10,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,7,8,10,13],[2,5,8,9,11,12],[3,4,6,8,10,11],[3,4,7,8,9,12],[3,4,7,8,9,13],[3,5,6,7,9,11],[3,5,9,10,11,12],[4,5,6,7,10,12],[4,5,6,8,11,13]];
G[904]:=Group([(1,3,9)(2,8,10)(5,7,13)(6,12,11)]);
# Design 905: autom. group order 3, simple
B[905]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,6,9,10,12],[2,4,7,11,12,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,5,8,9,11,12],[3,4,6,8,10,11],[3,4,7,8,9,12],[3,4,7,8,9,13],[3,5,6,7,9,11],[3,5,8,10,12,13],[4,5,6,7,10,12],[4,5,6,8,11,13]];
G[905]:=Group([(1,3,9)(2,8,10)(5,7,13)(6,12,11)]);
# Design 906: autom. group order 3, simple, derived
B[906]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,13],[1,4,5,10,11,12],[1,4,7,8,10,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,6,7,10,11],[2,3,8,9,10,12],[2,4,6,7,9,13],[2,4,7,8,12,13],[2,5,6,10,12,13],[2,5,7,9,11,12],[2,5,8,10,11,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[906]:=Group([(1,6,10)(2,5,9)(3,4,8)(7,11,12)]);
# Design 907: autom. group order 3, simple, derived
B[907]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,13],[1,4,5,10,11,12],[1,4,7,9,10,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,6,7,10,11],[2,3,8,9,10,12],[2,4,6,10,12,13],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,5,9,11,12,13],[3,4,6,7,9,12],[3,4,7,9,11,13],[3,4,8,10,11,13],[3,5,6,10,12,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[907]:=Group([(1,6,10)(2,4,9)(3,5,8)(7,11,12)]);
# Design 908: autom. group order 3, simple, derived
B[908]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,5,10,11,12],[1,4,7,9,10,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,6,7,10,11],[2,3,8,9,10,12],[2,4,7,8,12,13],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,6,10,12,13],[2,5,7,9,11,13],[3,4,6,7,8,13],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,5,7,8,10,11],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[908]:=Group([(1,6,10)(2,5,8)(3,4,9)(7,11,12)]);
# Design 909: autom. group order 3, simple
B[909]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,12],[1,4,5,10,12,13],[1,4,7,9,10,11],[1,5,7,8,12,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,11,13],[2,3,7,8,9,12],[2,4,7,9,11,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,6,7,10,13],[2,5,8,10,11,12],[3,4,6,7,11,12],[3,4,6,8,12,13],[3,4,7,8,10,13],[3,5,7,8,10,11],[3,5,9,11,12,13],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[909]:=Group([(1,6,11)(2,8,13)(3,4,9)(7,10,12)]);
# Design 910: autom. group order 3, simple
B[910]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,5,10,12,13],[1,4,9,10,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[1,6,7,8,12,13],[2,3,7,10,11,12],[2,3,7,10,12,13],[2,4,6,9,10,11],[2,4,7,8,11,13],[2,5,6,8,9,12],[2,5,6,11,12,13],[2,5,8,9,10,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[910]:=Group([(1,3,12)(2,10,4)(5,7,13)(6,11,9)]);
# Design 911: autom. group order 3, simple
B[911]:=[[1,2,3,4,5,6],[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],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,6,7,8,9,10],[1,6,7,11,12,13],[2,3,7,10,11,12],[2,3,7,10,12,13],[2,4,6,9,10,11],[2,4,7,9,11,13],[2,5,6,8,12,13],[2,5,6,9,10,13],[2,5,8,9,11,12],[3,4,6,8,10,12],[3,4,6,8,11,13],[3,4,7,8,9,13],[3,5,6,7,9,12],[3,5,8,10,11,13],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[911]:=Group([(1,3,12)(2,10,4)(5,7,13)(6,11,9)]);
# Design 912: autom. group order 3, simple, derived
B[912]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,7,10,11,13],[2,4,6,11,12,13],[2,4,7,9,10,12],[2,5,6,8,9,13],[2,5,6,9,10,11],[2,5,8,10,11,12],[3,4,6,8,10,12],[3,4,6,8,10,13],[3,4,7,8,9,11],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,6,7,9,12],[4,5,7,8,11,13]];
G[912]:=Group([(1,3,10)(2,8,9)(5,6,13)(7,12,11)]);
# Design 913: autom. group order 3, simple, derived
B[913]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,8,11,13],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,9,11,12,13],[2,6,7,8,10,12],[3,4,6,8,11,13],[3,4,7,8,9,11],[3,4,7,9,12,13],[3,5,6,7,8,12],[3,5,7,10,11,12],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[913]:=Group([(1,6,8)(2,4,10)(3,5,9)(7,11,13)]);
# Design 914: autom. group order 3, simple
B[914]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,6,9,11,13],[1,4,7,8,10,13],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,10,11,12],[2,3,6,9,12,13],[2,3,8,9,10,11],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,8,11,12,13],[2,6,7,8,10,13],[3,4,6,10,11,13],[3,4,7,8,11,12],[3,4,7,9,10,12],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,5,6,8,9,12]];
G[914]:=Group([(1,6,10)(2,5,9)(3,4,8)(7,12,11)]);
# Design 915: autom. group order 3, simple, derived
B[915]:=[[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],[1,3,6,7,8,13],[1,4,6,7,9,10],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,8,9,11],[2,5,7,8,9,13],[2,6,7,9,10,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,12,13],[4,5,6,8,10,11]];
G[915]:=Group([(1,3,8)(2,9,10)(4,12,5)(6,13,7)]);
# Design 916: autom. group order 3, simple, derived
B[916]:=[[1,2,3,4,5,6],[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],[1,3,6,7,11,13],[1,4,6,7,9,12],[1,4,8,10,12,13],[1,5,7,9,10,11],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,6,10,11,12],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,7,10,11,13],[2,5,6,8,9,13],[2,5,7,8,11,12],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,7,8,10],[4,5,6,11,12,13]];
G[916]:=Group([(1,3,9)(2,8,10)(4,11,5)(6,13,12)]);
# Design 917: autom. group order 3, simple, derived
B[917]:=[[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],[1,3,6,7,8,13],[1,4,6,9,10,11],[1,4,7,9,10,13],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,7,10,12],[2,3,10,11,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,8,9,13],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,12,13],[4,5,6,8,10,11]];
G[917]:=Group([(1,3,8)(2,9,10)(4,12,5)(6,13,7)]);
# Design 918: autom. group order 3, simple, derived
B[918]:=[[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],[1,3,6,7,8,13],[1,4,6,9,10,13],[1,4,7,9,10,11],[1,5,7,8,10,12],[1,5,8,10,12,13],[1,6,7,9,11,12],[2,3,6,10,11,12],[2,3,7,10,12,13],[2,4,5,9,10,12],[2,4,7,8,11,13],[2,5,6,7,8,9],[2,5,8,9,11,13],[2,6,7,9,10,13],[3,4,6,8,9,12],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,7,9,11,12],[4,5,6,7,12,13],[4,5,6,8,10,11]];
G[918]:=Group([(1,3,8)(2,9,10)(4,12,5)(6,13,7)]);
# Design 919: autom. group order 3, simple, derived
B[919]:=[[1,2,3,4,5,6],[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],[1,3,6,7,11,12],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,7,9,10,11],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,6,10,11,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,8,9,12,13],[4,5,6,7,8,10],[4,5,6,11,12,13]];
G[919]:=Group([(1,7,8)(2,3,11)(5,9,12)(6,13,10)]);
# Design 920: autom. group order 3, simple
B[920]:=[[1,2,3,4,5,6],[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],[1,3,6,7,9,12],[1,4,6,10,12,13],[1,4,7,9,10,12],[1,5,7,8,10,11],[1,5,8,9,12,13],[1,6,7,8,11,13],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,9,13],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,7,8,9,11],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[920]:=Group([(1,6,8)(2,4,10)(3,5,9)(7,11,13)]);
# Design 921: autom. group order 3, simple
B[921]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,7,11,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,6,7,10,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,8,12],[4,5,6,9,10,11]];
G[921]:=Group([(1,3,8)(2,9,10)(4,13,5)(6,11,12)]);
# Design 922: autom. group order 3, simple, derived
B[922]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,13],[1,4,6,7,9,12],[1,4,7,8,10,13],[1,5,7,9,10,13],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,6,7,9,13],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,7,8,12,13],[2,5,6,10,12,13],[2,5,7,9,11,12],[2,6,7,8,10,11],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,7,8,12],[3,5,7,8,11,13],[4,5,6,8,9,10],[4,5,6,8,9,11]];
G[922]:=Group([(1,6,10)(2,5,9)(3,4,8)(7,11,12)]);
# Design 923: autom. group order 3, simple, derived
B[923]:=[[1,2,3,4,5,6],[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],[1,4,6,7,9,13],[1,4,7,8,10,11],[1,5,7,8,9,13],[1,5,9,10,11,12],[1,6,7,10,12,13],[2,3,6,7,9,12],[2,3,8,9,10,13],[2,4,5,10,12,13],[2,4,9,11,12,13],[2,5,6,7,10,11],[2,5,7,8,11,13],[2,6,7,8,10,12],[3,4,6,10,11,13],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,8,9,10],[4,5,6,8,9,12]];
G[923]:=Group([(1,6,10)(2,5,9)(3,4,8)(7,12,13)]);
# Design 924: autom. group order 3, simple
B[924]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,8,9,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,7,9,13],[1,4,7,10,11,13],[1,5,7,8,10,12],[1,5,9,11,12,13],[1,6,7,8,10,12],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,9,10,12,13],[2,5,6,7,9,10],[2,5,7,8,11,13],[2,6,7,9,11,12],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,12,13],[3,5,8,9,10,13],[4,5,6,8,9,11],[4,5,6,8,10,11]];
G[924]:=Group([(1,4,11)(2,8,12)(3,6,9)(7,10,13)]);
# Design 925: autom. group order 3, simple, derived
B[925]:=[[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],[1,3,6,8,10,12],[1,4,6,7,10,11],[1,4,8,9,12,13],[1,5,7,9,10,12],[1,5,7,9,10,13],[1,6,7,8,11,13],[2,3,6,7,9,13],[2,3,9,10,11,12],[2,4,5,8,10,13],[2,4,7,9,11,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,10,12,13],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,8,9,12],[4,5,6,9,10,11]];
G[925]:=Group([(1,2,10)(3,8,9)(4,13,7)(6,11,12)]);
# Design 926: autom. group order 3, simple, derived
B[926]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,6,10,12,13],[1,4,7,9,10,13],[1,5,7,8,9,12],[1,5,7,8,10,11],[1,6,7,8,11,13],[2,3,6,7,10,11],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,7,9,12],[2,5,10,11,12,13],[2,6,7,8,10,12],[3,4,6,7,8,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,8,12,13],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,5,6,9,10,11]];
G[926]:=Group([(1,6,8)(2,4,10)(3,5,9)(7,11,13)]);
# Design 927: autom. group order 3, simple, derived
B[927]:=[[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],[1,4,6,9,11,13],[1,4,7,8,10,12],[1,5,7,9,10,11],[1,5,7,9,12,13],[1,6,7,8,10,13],[2,3,6,7,9,12],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,7,10,11,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[2,6,7,8,11,12],[3,4,6,7,8,13],[3,4,7,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,8,11,12,13],[4,5,6,8,9,12],[4,5,6,9,10,12]];
G[927]:=Group([(1,6,8)(2,9,11)(3,4,12)(7,10,13)]);
# Design 928: autom. group order 3, simple, derived
B[928]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,6,9,11,12],[1,4,7,8,10,13],[1,5,7,8,9,12],[1,5,7,9,10,11],[1,6,7,10,12,13],[2,3,6,7,9,13],[2,3,8,9,10,12],[2,4,5,10,12,13],[2,4,7,8,11,13],[2,5,6,10,11,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,6,7,10,12],[3,4,7,9,11,12],[3,4,9,10,11,13],[3,5,6,7,8,11],[3,5,8,11,12,13],[4,5,6,8,9,10],[4,5,6,8,9,13]];
G[928]:=Group([(1,6,10)(2,5,9)(3,4,8)(7,13,12)]);
# Design 929: autom. group order 3, simple
B[929]:=[[1,2,3,4,5,6],[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],[1,3,6,7,12,13],[1,4,6,9,12,13],[1,4,8,10,11,12],[1,5,7,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,7,8,11,13],[2,3,9,10,12,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,9,10,11],[2,5,7,8,12,13],[2,6,7,10,11,12],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,4,7,9,11,12],[3,5,6,8,9,12],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,7,9,11,13]];
G[929]:=Group([(1,5,12)(2,6,11)(3,8,4)(7,9,10)]);
# Design 930: autom. group order 3, simple, derived
B[930]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,7,11,12],[1,4,7,8,10,13],[1,5,7,9,10,11],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,12],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,10,11,13],[2,5,6,7,8,9],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,8,10,12],[4,5,7,9,12,13]];
G[930]:=Group([(1,3,9)(2,8,10)(4,11,5)(6,13,12)]);
# Design 931: autom. group order 3, simple
B[931]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,7,12,13],[1,4,7,9,10,11],[1,5,7,8,10,13],[1,5,8,10,12,13],[1,6,7,9,10,11],[2,3,7,10,11,12],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,10,11,13],[2,5,6,7,8,9],[2,5,9,11,12,13],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,8,9,11,13],[3,5,6,7,11,13],[3,5,6,8,10,11],[4,5,6,9,10,12],[4,5,7,8,11,12]];
G[931]:=Group([(1,3,8)(2,9,10)(4,13,5)(6,11,12)]);
# Design 932: autom. group order 3, simple, derived
B[932]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,7,8,10],[1,4,7,11,12,13],[1,5,7,9,10,11],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,7,10,11,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,13],[4,5,8,10,12,13]];
G[932]:=Group([(1,3,9)(2,8,10)(4,11,5)(6,13,12)]);
# Design 933: autom. group order 3, simple
B[933]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,7,12,13],[1,4,8,10,11,12],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,13],[2,3,7,8,11,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,6,8,9,13],[2,5,6,7,10,11],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,6,10,11,13],[3,4,7,8,9,10],[3,4,7,9,11,12],[3,5,6,8,9,12],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[933]:=Group([(1,5,12)(2,6,11)(3,8,4)(7,9,10)]);
# Design 934: autom. group order 3, simple, derived
B[934]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,6,8,10,12],[1,4,7,9,12,13],[1,5,7,9,10,11],[1,5,7,10,11,12],[1,6,7,8,10,13],[2,3,7,10,12,13],[2,3,10,11,12,13],[2,4,5,9,10,13],[2,4,6,7,10,11],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,7,8,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,11,12,13],[4,5,8,9,10,13]];
G[934]:=Group([(1,4,10)(2,9,7)(3,13,11)(6,8,12)]);
# Design 935: autom. group order 3, simple, derived
B[935]:=[[1,2,3,4,5,6],[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],[1,4,6,10,11,13],[1,4,7,8,9,13],[1,5,7,8,9,12],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,7,8,11,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,8,10,11,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,6,7,9,10,12],[3,4,6,8,9,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,8,9,11,13],[4,5,6,7,8,10],[4,5,7,11,12,13]];
G[935]:=Group([(1,6,8)(2,3,12)(5,9,11)(7,13,10)]);
# Design 936: autom. group order 3, simple, derived
B[936]:=[[1,2,3,4,5,6],[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],[1,4,7,8,9,13],[1,4,7,10,11,13],[1,5,6,10,11,12],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,9,10,11,13],[2,4,5,9,12,13],[2,4,8,10,11,12],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,7,8,9,11],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[936]:=Group([(1,7,12)(2,5,11)(3,8,4)(6,9,10)]);
# Design 937: autom. group order 3, simple, derived
B[937]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,7,9,11],[1,3,5,9,11,13],[1,3,6,8,12,13],[1,4,7,8,10,13],[1,4,7,10,11,13],[1,5,6,8,12,13],[1,5,9,10,11,12],[1,6,7,9,10,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,10,12,13],[2,4,8,9,11,12],[2,5,6,7,10,12],[2,5,8,9,10,13],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,7,8,10,11],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,9,11,13]];
G[937]:=Group([(1,7,12)(2,5,11)(3,8,4)(6,10,9)]);
# Design 938: autom. group order 3, simple, derived
B[938]:=[[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],[1,3,5,10,11,12],[1,3,6,7,8,13],[1,4,7,9,12,13],[1,4,7,10,12,13],[1,5,6,9,11,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,7,9,11,12],[2,3,7,10,11,13],[2,4,5,11,12,13],[2,4,6,9,10,12],[2,5,6,9,10,13],[2,5,7,8,10,13],[2,6,7,8,11,12],[3,4,6,8,10,12],[3,4,6,10,11,13],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,8,9,12,13],[4,5,6,7,8,11],[4,5,7,8,9,10]];
G[938]:=Group([(2,11,13)(3,10,7)(4,5,12)(6,8,9)]);
# Design 939: autom. group order 3, simple, derived
B[939]:=[[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],[1,3,5,10,11,12],[1,3,6,7,8,13],[1,4,7,9,12,13],[1,4,7,10,12,13],[1,5,6,9,11,13],[1,5,8,10,11,12],[1,6,7,9,10,11],[2,3,7,10,11,13],[2,3,9,10,12,13],[2,4,5,11,12,13],[2,4,6,7,10,11],[2,5,6,9,10,13],[2,5,7,8,9,12],[2,6,7,8,11,12],[3,4,6,8,10,12],[3,4,6,9,11,12],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,8,10,13],[4,5,7,8,9,10]];
G[939]:=Group([(2,11,13)(3,10,7)(4,5,12)(6,8,9)]);
# Design 940: autom. group order 3, simple, derived
B[940]:=[[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],[1,3,7,10,11,12],[1,4,6,7,8,13],[1,4,6,9,10,12],[1,5,7,9,11,13],[1,5,8,9,11,12],[1,6,7,8,10,13],[2,3,6,7,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[2,6,7,9,10,11],[3,4,6,9,11,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,6,8,10,11],[4,5,6,9,10,12],[4,5,7,8,11,12]];
G[940]:=Group([(1,4,6)(2,9,13)(3,12,8)(5,10,7)]);
# Design 941: autom. group order 3, simple, derived
B[941]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,5,7,9,10,11],[1,5,9,10,11,12],[1,6,7,8,10,13],[2,3,6,10,11,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,7,10,11,12],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,6,7,8,9,12],[3,4,6,9,10,12],[3,4,7,8,9,11],[3,4,8,9,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,11,12,13],[4,5,7,8,10,13]];
G[941]:=Group([(1,3,9)(2,8,10)(4,11,5)(6,13,12)]);
# Design 942: autom. group order 3, simple, derived
B[942]:=[[1,2,3,4,5,6],[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],[1,3,7,9,11,12],[1,4,6,7,9,13],[1,4,6,10,12,13],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,7,8,10,11],[2,3,6,10,11,13],[2,3,7,11,12,13],[2,4,5,9,10,11],[2,4,7,8,10,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,6,8,11,13],[4,5,6,7,11,12],[4,5,8,9,11,13]];
G[942]:=Group([(1,2,8)(3,9,10)(4,12,11)(5,6,7)]);
# Design 943: autom. group order 3, simple, derived
B[943]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,7,11,13],[1,4,6,8,10,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,7,9,11,13],[2,4,5,10,12,13],[2,4,8,9,11,12],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,8,9,10],[3,4,7,10,11,12],[3,5,6,8,10,11],[3,5,6,8,11,12],[4,5,6,7,8,9],[4,5,9,10,11,13]];
G[943]:=Group([(1,6,12)(2,5,11)(3,8,4)(7,10,9)]);
# Design 944: autom. group order 3, simple, derived
B[944]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,7,10,11],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,5,10,11,12,13],[1,6,7,9,10,12],[2,3,6,9,10,12],[2,3,7,8,10,13],[2,4,5,10,12,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,8,10,11],[3,5,6,8,11,12],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[944]:=Group([(1,6,12)(2,5,11)(3,8,4)(7,10,9)]);
# Design 945: autom. group order 3, simple
B[945]:=[[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],[1,3,5,10,12,13],[1,3,7,8,11,12],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,5,7,9,11,12],[1,5,8,10,11,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,9,10,11],[2,4,7,8,12,13],[2,5,6,7,8,13],[2,5,7,9,10,12],[2,6,7,10,11,12],[3,4,6,9,11,12],[3,4,7,8,9,10],[3,4,7,10,11,13],[3,5,6,7,8,11],[3,5,6,9,12,13],[4,5,6,8,10,12],[4,5,8,9,11,13]];
G[945]:=Group([(1,4,6)(2,12,9)(3,8,13)(5,10,7)]);
# Design 946: autom. group order 3, simple, derived
B[946]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,6,7,8,13],[1,4,6,9,10,11],[1,5,7,8,9,12],[1,5,7,11,12,13],[1,6,7,9,10,12],[2,3,6,7,10,12],[2,3,7,8,9,13],[2,4,5,9,12,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,4,7,10,11,13],[3,5,6,8,9,11],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,8,9,10,13]];
G[946]:=Group([(1,6,12)(2,5,11)(3,8,4)(7,9,10)]);
# Design 947: autom. group order 3, simple, derived
B[947]:=[[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],[1,3,8,10,11,12],[1,4,6,7,10,12],[1,4,6,8,9,13],[1,5,7,9,10,11],[1,5,7,9,10,13],[1,6,7,8,12,13],[2,3,6,9,10,12],[2,3,7,9,12,13],[2,4,5,8,10,13],[2,4,7,9,11,12],[2,5,6,7,8,11],[2,5,8,10,12,13],[2,6,7,10,11,13],[3,4,6,10,11,13],[3,4,7,8,9,13],[3,4,7,8,10,11],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,6,9,10,12],[4,5,8,9,11,12]];
G[947]:=Group([(1,2,10)(3,8,9)(4,13,7)(6,12,11)]);
# Design 948: autom. group order 3, simple, derived
B[948]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,7,9,13],[1,4,7,10,12,13],[1,5,6,8,10,11],[1,5,9,10,12,13],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,5,8,10,13],[2,4,7,9,10,11],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,7,8,9,12],[3,4,6,8,9,13],[3,4,6,8,10,12],[3,4,9,10,11,12],[3,5,6,7,9,10],[3,5,7,8,11,13],[4,5,6,7,11,12],[4,5,8,9,11,13]];
G[948]:=Group([(1,2,8)(3,9,10)(4,12,11)(5,7,6)]);
# Design 949: autom. group order 3, simple
B[949]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,8,10,11],[2,4,5,10,11,13],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,9,10,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,8,10,12],[3,5,7,8,9,13],[4,5,6,7,8,9],[4,5,8,10,11,13]];
G[949]:=Group([(1,9,13)(2,6,10)(3,11,5)(7,12,8)]);
# Design 950: autom. group order 3, simple
B[950]:=[[1,2,3,4,5,6],[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],[1,4,6,7,8,13],[1,4,7,9,10,12],[1,5,6,10,11,12],[1,5,9,10,11,13],[1,6,7,8,12,13],[2,3,6,9,12,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,7,10,13],[2,5,7,8,9,11],[2,6,7,8,9,10],[3,4,6,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,10,12],[3,5,7,8,11,12],[4,5,6,7,9,11],[4,5,8,9,12,13]];
G[950]:=Group([(1,4,7)(2,9,13)(3,12,6)(5,10,8)]);
# Design 951: autom. group order 3, simple
B[951]:=[[1,2,3,4,5,6],[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],[1,3,7,9,11,12],[1,4,6,7,12,13],[1,4,9,10,12,13],[1,5,6,9,10,13],[1,5,7,8,10,11],[1,6,7,8,10,11],[2,3,6,7,10,13],[2,3,10,11,12,13],[2,4,5,9,10,11],[2,4,7,8,10,13],[2,5,6,8,9,12],[2,5,7,11,12,13],[2,6,7,8,9,12],[3,4,6,7,9,11],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,10,11,12],[3,5,7,8,9,13],[4,5,6,8,11,13],[4,5,7,9,10,12]];
G[951]:=Group([(1,2,8)(3,9,10)(4,12,11)(5,6,7)]);
# Design 952: autom. group order 3, simple, derived
B[952]:=[[1,2,3,4,5,6],[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],[1,4,6,7,12,13],[1,4,8,9,10,12],[1,5,6,10,12,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,8,11,12],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,6,9,10,11],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,7,8,10],[3,5,8,9,12,13],[4,5,6,7,8,9],[4,5,8,10,11,13]];
G[952]:=Group([(1,9,13)(2,6,10)(3,11,5)(7,12,8)]);
# Design 953: autom. group order 3, simple, derived
B[953]:=[[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],[1,3,7,8,11,12],[1,4,6,7,9,11],[1,4,9,10,12,13],[1,5,6,9,10,13],[1,5,7,8,10,13],[1,6,7,8,12,13],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,7,8,9,10],[2,5,6,7,10,12],[2,5,7,9,11,13],[2,6,7,10,11,12],[3,4,6,7,8,13],[3,4,6,10,11,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,8,10,11],[4,5,8,9,11,12]];
G[953]:=Group([(1,9,12)(2,5,7)(3,11,6)(4,13,10)]);
# Design 954: autom. group order 3, simple, derived
B[954]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,10,11,13],[1,4,7,9,10,11],[1,5,6,7,8,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,5,9,12,13],[2,4,8,10,12,13],[2,5,6,8,9,11],[2,5,7,9,10,13],[2,6,7,10,11,12],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,4,7,8,11,13],[3,5,6,11,12,13],[3,5,8,9,10,11],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[954]:=Group([(1,10,13)(2,7,3)(4,6,11)(5,12,8)]);
# Design 955: autom. group order 3, simple, derived
B[955]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,6,8,9,11],[1,4,7,10,12,13],[1,5,6,10,12,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[2,3,6,10,11,12],[2,3,9,11,12,13],[2,4,5,9,12,13],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,7,8,11,13],[3,4,6,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,13],[3,5,6,8,10,12],[3,5,7,8,9,12],[4,5,6,9,11,12],[4,5,8,10,11,13]];
G[955]:=Group([(1,6,11)(2,7,5)(3,13,10)(4,8,9)]);
# Design 956: autom. group order 3, simple, derived
B[956]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,7,9,11,13],[1,5,6,7,8,12],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,9,10,11],[2,5,7,9,10,13],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[956]:=Group([(1,12,13)(2,3,7)(4,11,6)(5,10,8)]);
# Design 957: autom. group order 3, simple, derived
B[957]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,6,9,11,12],[1,3,5,8,11,13],[1,3,9,10,11,13],[1,4,6,7,10,13],[1,4,7,9,11,13],[1,5,6,7,10,12],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,8,10,12,13],[2,5,6,9,10,11],[2,5,7,9,10,13],[2,6,7,8,11,13],[3,4,6,8,9,10],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,11,12,13],[3,5,7,8,9,12],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[957]:=Group([(1,12,13)(2,3,7)(4,11,6)(5,10,8)]);
# Design 958: autom. group order 3, simple
B[958]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,9,11],[1,2,8,10,12,13],[1,3,5,9,12,13],[1,3,6,7,11,12],[1,4,6,7,10,13],[1,4,6,8,12,13],[1,5,7,8,11,13],[1,5,9,10,11,12],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,9,11,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,9,12],[3,4,7,8,9,10],[3,4,7,8,11,12],[3,4,9,11,12,13],[3,5,6,8,9,13],[3,5,6,8,10,11],[4,5,6,8,10,12],[4,5,7,9,10,13]];
G[958]:=Group([(1,6,8)(2,7,5)(3,9,11)(4,12,13)]);
# Design 959: autom. group order 3, simple, derived
B[959]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,9,10,12],[1,3,6,7,11,13],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,5,7,8,10,13],[1,5,9,11,12,13],[1,6,7,10,11,12],[2,3,6,10,11,13],[2,3,7,10,11,12],[2,4,5,11,12,13],[2,4,6,9,10,13],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,7,8,9,11],[3,4,7,8,12,13],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,6,8,12,13],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[959]:=Group([(1,6,8)(2,7,5)(3,9,13)(4,12,10)]);
# Design 960: autom. group order 3, simple, derived
B[960]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,9,10,11,13],[1,3,5,8,11,13],[1,3,6,7,9,11],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,7,12,13],[1,5,8,9,10,12],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,6,10,11,12],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,7,8,10],[2,5,7,9,11,12],[2,6,7,8,11,13],[3,4,6,8,10,13],[3,4,7,8,9,12],[3,4,7,10,11,12],[3,5,7,9,10,13],[3,5,8,11,12,13],[4,5,6,8,9,11],[4,5,6,9,10,11]];
G[960]:=Group([(1,6,8)(2,9,13)(3,4,11)(7,10,12)]);
# Design 961: autom. group order 3, simple, derived
B[961]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,6,7,10,13],[1,4,7,8,12,13],[1,5,6,7,9,12],[1,5,10,11,12,13],[1,6,7,8,9,10],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,5,9,10,13],[2,4,7,9,11,12],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,7,10,11,12],[3,4,6,8,12,13],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,7,8,9,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,6,8,10,11]];
G[961]:=Group([(1,4,11)(2,8,12)(3,6,10)(7,9,13)]);
# Design 962: autom. group order 3, simple
B[962]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,10,13],[1,3,5,9,11,12],[1,3,6,10,11,13],[1,4,6,7,9,13],[1,4,7,10,11,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,8,11,12],[2,3,6,7,8,13],[2,3,6,10,11,12],[2,4,5,10,12,13],[2,4,9,11,12,13],[2,5,6,7,9,11],[2,5,7,8,11,13],[2,6,7,9,10,12],[3,4,6,8,12,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,7,10,12,13],[3,5,8,9,11,13],[4,5,6,8,9,10],[4,5,6,8,10,11]];
G[962]:=Group([(1,4,10)(2,5,8)(3,6,9)(7,11,13)]);
# Design 963: autom. group order 3, simple
B[963]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,10,13],[1,3,5,9,11,13],[1,3,6,10,11,12],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,7,9,11],[1,5,7,8,10,12],[1,6,7,8,12,13],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,10,12,13],[2,4,7,9,11,12],[2,5,6,9,12,13],[2,5,7,8,11,13],[2,6,7,9,10,11],[3,4,6,7,8,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,7,8,9,12],[3,5,10,11,12,13],[4,5,6,8,9,10],[4,5,6,8,10,11]];
G[963]:=Group([(1,4,10)(2,5,8)(3,6,9)(7,11,13)]);
# Design 964: autom. group order 3, simple, derived
B[964]:=[[1,2,3,4,5,6],[1,2,3,4,5,7],[1,2,3,8,9,10],[1,2,4,8,11,12],[1,2,8,9,11,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,6,9,11,13],[1,4,7,10,11,12],[1,5,6,7,8,13],[1,5,7,8,9,12],[1,6,7,10,12,13],[2,3,7,9,12,13],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,6,9,10,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,6,7,8,10,11],[3,4,6,7,8,13],[3,4,6,8,11,12],[3,4,7,8,9,10],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,7,9,10,11],[4,5,8,9,12,13]];
G[964]:=Group([(1,7,11)(2,13,5)(4,12,10)(6,9,8)]);
# Design 965: autom. group order 3, simple, derived
B[965]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,6,10,12,13],[1,4,7,8,10,13],[1,4,8,9,10,12],[1,5,7,9,10,11],[1,5,8,11,12,13],[1,6,7,9,11,12],[2,3,7,8,11,12],[2,3,7,10,12,13],[2,4,6,10,11,12],[2,4,8,9,11,13],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,8,9,10,12],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,4,9,10,11,13],[3,5,6,8,10,11],[3,5,7,8,9,12],[4,5,6,7,8,10],[4,5,6,7,12,13]];
G[965]:=Group([(1,3,8)(2,7,4)(5,12,10)(6,11,13)]);
# Design 966: autom. group order 3, simple, derived
B[966]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,11,13],[1,3,6,8,12,13],[1,3,6,9,11,13],[1,4,7,10,12,13],[1,4,8,9,10,13],[1,5,7,8,9,11],[1,5,8,10,11,12],[1,6,7,9,10,12],[2,3,7,8,10,12],[2,3,7,10,11,13],[2,4,6,8,9,12],[2,4,9,11,12,13],[2,5,6,10,12,13],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,8,10,11],[3,4,7,9,11,12],[3,5,6,7,9,12],[3,5,8,11,12,13],[4,5,6,7,8,13],[4,5,6,7,10,11]];
G[966]:=Group([(1,4,11)(2,12,5)(3,9,8)(6,13,10)]);
# Design 967: autom. group order 3, simple
B[967]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,7,9,10,13],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,8,9,10,12],[2,3,8,10,11,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,7,11,12,13],[4,5,6,8,10,13],[4,5,6,9,10,11]];
G[967]:=Group([(1,5,13)(2,7,9)(3,12,4)(6,11,8)]);
# Design 968: autom. group order 3, simple, derived
B[968]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,5,8,11,12,13],[1,6,7,8,10,12],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,7,9,10,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,10,12],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[968]:=Group([(1,3,7)(2,4,8)(5,13,6)(9,12,10)]);
# Design 969: autom. group order 3, simple, derived
B[969]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,6,10,11,13],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,7,9,11,12],[2,5,7,9,10,13],[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],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[969]:=Group([(1,3,8)(2,4,7)(5,13,6)(9,12,11)]);
# Design 970: autom. group order 3, simple
B[970]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,10,11,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[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],[3,5,6,7,10,12],[3,5,6,8,11,12],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[970]:=Group([(1,3,8)(2,4,7)(5,13,6)(9,12,10)]);
# Design 971: autom. group order 3, simple
B[971]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,10,12],[2,4,6,11,12,13],[2,4,7,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[971]:=Group([(1,3,7)(2,4,8)(5,13,6)(9,11,12)]);
# Design 972: autom. group order 3, simple
B[972]:=[[1,2,3,4,5,6],[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],[1,4,6,9,11,13],[1,4,8,10,11,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[972]:=Group([(1,3,7)(2,4,8)(5,13,6)(9,11,12)]);
# Design 973: autom. group order 3, simple
B[973]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,10,11,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[2,4,7,9,10,11],[2,5,7,9,11,13],[2,5,8,10,12,13],[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],[3,5,6,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[973]:=Group([(1,3,8)(2,4,7)(5,13,6)(9,11,10)]);
# Design 974: autom. group order 3, simple, derived
B[974]:=[[1,2,3,4,5,6],[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],[1,4,6,9,11,13],[1,4,8,10,11,12],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,7,10,12,13],[2,5,8,9,11,13],[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],[3,5,6,8,11,12],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[974]:=Group([(1,4,8)(2,3,7)(5,13,6)(10,12,11)]);
# Design 975: autom. group order 3, simple, derived
B[975]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,7,11,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,8,9,11,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[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],[3,5,6,7,10,12],[3,5,6,8,10,11],[4,5,6,7,9,12],[4,5,6,8,9,11]];
G[975]:=Group([(1,4,8)(2,3,7)(5,13,6)(10,11,12)]);
# Design 976: autom. group order 3, simple, derived
B[976]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,10,11,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[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],[3,4,7,9,11,13],[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[976]:=Group([(1,4,8)(2,3,7)(5,13,6)(10,11,12)]);
# Design 977: autom. group order 3, simple, derived
B[977]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,10,11,12],[1,5,7,11,12,13],[1,5,8,9,10,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,10,11,13],[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],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,10,12],[4,5,6,7,9,10],[4,5,6,8,9,11]];
G[977]:=Group([(1,4,8)(2,3,7)(5,13,6)(10,12,11)]);
# Design 978: autom. group order 3, simple, derived
B[978]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,10,12,13],[2,3,8,9,10,12],[2,4,6,11,12,13],[2,4,7,9,10,11],[2,5,7,10,11,13],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[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[978]:=Group([(1,4,8)(2,3,7)(5,13,6)(10,12,11)]);
# Design 979: autom. group order 3, simple, derived
B[979]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,8,10,11,12],[1,5,7,11,12,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,11,12,13],[2,3,8,9,11,12],[2,4,6,10,12,13],[2,4,7,9,10,11],[2,5,7,9,12,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,5,7,8,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,10,12],[4,5,6,7,9,11],[4,5,6,8,9,12]];
G[979]:=Group([(1,3,7)(2,4,8)(5,13,6)(9,10,12)]);
# Design 980: autom. group order 3, simple
B[980]:=[[1,2,3,4,5,6],[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],[1,5,7,9,11,13],[1,5,8,10,12,13],[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],[2,5,7,10,12,13],[2,5,8,9,11,13],[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[980]:=Group([(1,4,8)(2,3,7)(5,13,6)(9,10,11)]);
# Design 981: autom. group order 3, simple
B[981]:=[[1,2,3,4,5,6],[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],[1,5,7,9,12,13],[1,5,8,10,11,13],[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],[2,5,7,10,11,13],[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],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[981]:=Group([(1,3,8)(2,4,7)(5,13,6)(9,12,10)]);
# Design 982: autom. group order 3, simple
B[982]:=[[1,2,3,4,5,6],[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],[1,5,7,9,11,13],[1,5,8,10,12,13],[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],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[982]:=Group([(1,3,8)(2,4,7)(5,13,6)(9,12,10)]);
# Design 983: autom. group order 3, simple
B[983]:=[[1,2,3,4,5,6],[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],[1,5,7,9,12,13],[1,5,8,10,11,13],[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],[2,5,7,10,11,13],[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],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[983]:=Group([(1,3,7)(2,4,8)(5,13,6)(9,11,12)]);
# Design 984: autom. group order 3, simple, derived
B[984]:=[[1,2,3,4,5,6],[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],[1,5,7,10,11,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,7,9,12,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[984]:=Group([(1,3,7)(2,4,8)(5,13,6)(9,12,10)]);
# Design 985: autom. group order 3, simple
B[985]:=[[1,2,3,4,5,6],[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],[1,5,7,10,11,13],[1,5,8,9,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,9,10,11],[2,5,7,9,12,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[985]:=Group([(1,4,7)(2,3,8)(5,13,6)(10,12,11)]);
# Design 986: autom. group order 3, simple, derived
B[986]:=[[1,2,3,4,5,6],[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],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,6,9,10,13],[2,4,7,9,11,12],[2,5,7,10,12,13],[2,5,8,10,11,13],[2,6,7,8,9,11],[3,4,5,7,8,13],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,9,10],[3,5,6,8,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[986]:=Group([(1,3,8)(2,4,7)(5,13,6)(9,11,12)]);
# Design 987: autom. group order 3, simple
B[987]:=[[1,2,3,4,5,6],[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],[1,5,7,9,11,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,6,9,10,13],[2,4,7,9,11,12],[2,5,7,10,12,13],[2,5,8,10,11,13],[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],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[987]:=Group([(1,4,8)(2,3,7)(5,13,6)(9,10,11)]);
# Design 988: autom. group order 3, simple, derived
B[988]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,9,11,13],[1,3,6,7,11,13],[1,3,7,8,12,13],[1,4,6,7,9,12],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,5,8,9,10,11],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,7,9,10,13],[2,5,7,8,11,12],[2,5,7,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,7,9,10,11],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[4,5,6,7,10,12],[4,5,6,8,11,13]];
G[988]:=Group([(2,7,10)(3,8,5)(4,13,9)(6,12,11)]);
# Design 989: autom. group order 3, simple
B[989]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,11],[1,4,6,8,11,13],[1,4,7,10,12,13],[1,5,8,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,10,12],[2,3,7,8,12,13],[2,4,8,9,10,11],[2,4,9,10,12,13],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,10,11,13],[3,5,7,8,11,12],[4,5,6,7,8,10],[4,5,6,7,9,12]];
G[989]:=Group([(1,3,12)(2,8,5)(4,7,11)(6,13,9)]);
# Design 990: autom. group order 3, simple
B[990]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,6,7,9,13],[1,3,6,8,10,11],[1,3,7,8,12,13],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,7,9,10,12],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,7,8,10,11],[2,4,7,9,10,12],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,5,9,10,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,5,6,7,8,9],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,8,10,13]];
G[990]:=Group([(1,9,12)(2,4,13)(5,11,8)(6,7,10)]);
# Design 991: autom. group order 3, simple, derived
B[991]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,6,9,10,13],[1,4,9,10,11,12],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,9,10,12],[3,4,5,8,12,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,5,6,11,12,13],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[991]:=Group([(1,10,13)(3,12,7)(4,6,9)(5,8,11)]);
# Design 992: autom. group order 3, simple, derived
B[992]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,6,8,12,13],[1,4,9,10,11,12],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,9,10,11],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,7,9,11,13],[2,4,8,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,9,10,12],[3,4,5,9,10,13],[3,4,6,7,9,12],[3,4,7,8,10,11],[3,5,6,11,12,13],[3,5,7,8,11,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[992]:=Group([(1,10,13)(3,12,7)(4,6,9)(5,8,11)]);
# Design 993: autom. group order 3, simple, derived
B[993]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,6,9,10,13],[1,4,7,8,9,10],[1,5,7,10,12,13],[1,5,8,9,11,12],[1,6,7,8,11,12],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,7,9,11,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,7,9,10,11],[4,5,6,7,9,12],[4,5,6,10,11,13]];
G[993]:=Group([(1,10,13)(3,8,11)(4,6,9)(5,12,7)]);
# Design 994: autom. group order 3, simple, derived
B[994]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,6,8,12,13],[1,4,7,8,9,10],[1,5,7,10,12,13],[1,5,8,9,11,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,7,9,11,13],[2,4,8,10,12,13],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,8,9,10,12],[3,4,5,9,10,13],[3,4,6,8,9,11],[3,4,7,10,11,12],[3,5,6,7,8,13],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,6,10,11,13]];
G[994]:=Group([(1,10,13)(3,8,11)(4,6,9)(5,12,7)]);
# Design 995: autom. group order 3, simple, derived
B[995]:=[[1,2,3,4,5,6],[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],[1,3,10,11,12,13],[1,4,6,8,12,13],[1,4,7,9,10,12],[1,5,7,8,10,13],[1,5,8,9,11,12],[1,6,7,9,10,11],[2,3,6,8,10,11],[2,3,7,9,12,13],[2,4,7,9,11,13],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,8,9,11,13],[2,6,8,9,10,12],[3,4,5,9,10,13],[3,4,6,9,11,12],[3,4,7,8,10,11],[3,5,6,7,12,13],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,6,10,11,13]];
G[995]:=Group([(1,10,13)(3,12,11)(4,6,9)(5,8,7)]);
# Design 996: autom. group order 3, simple, derived
B[996]:=[[1,2,3,4,5,6],[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],[1,3,8,11,12,13],[1,4,6,9,10,11],[1,4,7,10,12,13],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,9,10,11,13],[2,4,7,8,9,12],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,7,9,13],[3,4,6,7,11,13],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,6,9,12,13]];
G[996]:=Group([(1,8,10)(3,4,9)(5,7,13)(6,12,11)]);
# Design 997: autom. group order 3, simple, derived
B[997]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,6,9,11,13],[1,4,6,9,10,11],[1,4,8,10,12,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,6,8,9,12],[2,5,7,9,10,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,10,11,12],[4,5,6,7,10,13],[4,5,6,8,11,13]];
G[997]:=Group([(1,3,7)(2,4,8)(5,9,11)(6,12,13)]);
# Design 998: autom. group order 3, simple, derived
B[998]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,6,9,11,13],[1,4,6,8,10,13],[1,4,9,10,11,12],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,6,9,11,13],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,7,10,13],[4,5,6,8,11,12]];
G[998]:=Group([(1,3,7)(2,4,8)(5,9,11)(6,12,13)]);
# Design 999: autom. group order 3, simple, derived
B[999]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,6,10,11,12],[1,4,8,9,12,13],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,6,7,12,13],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,7,10,13],[3,4,7,8,10,12],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[999]:=Group([(1,3,8)(2,4,7)(5,10,11)(6,12,13)]);
# Design 1000: autom. group order 3, simple, derived
B[1000]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,9,13],[1,3,6,7,10,13],[1,3,6,9,11,12],[1,4,6,8,10,11],[1,4,9,10,11,13],[1,5,7,11,12,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,7,11,13],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,10,11,12],[3,4,5,7,12,13],[3,4,7,8,10,12],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,7,9,10,11],[4,5,6,7,9,10],[4,5,6,8,9,13]];
G[1000]:=Group([(1,3,7)(2,4,8)(5,12,9)(6,10,13)]);
# Design 1001: autom. group order 3, simple
B[1001]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,10,12],[1,3,6,11,12,13],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,7,8,11,12],[1,5,8,9,10,13],[1,6,7,9,10,11],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,8,9,11],[2,4,7,10,12,13],[2,5,6,7,8,10],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,7,8,9,12],[3,4,7,9,10,11],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,11,13],[4,5,6,9,10,12]];
G[1001]:=Group([(1,8,13)(3,11,7)(4,10,9)(5,6,12)]);
# Design 1002: autom. group order 3, simple, derived
B[1002]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,8,10,12],[1,3,6,11,12,13],[1,4,6,7,9,11],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,10,11,13],[1,6,7,8,9,12],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,9,10,13],[2,4,8,10,11,12],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,7,12,13],[3,4,7,8,11,13],[3,4,9,10,11,12],[3,5,6,8,9,11],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,12,13]];
G[1002]:=Group([(1,9,12)(2,3,11)(4,5,10)(6,7,8)]);
# Design 1003: autom. group order 3, simple, derived
B[1003]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,11,12,13],[1,3,6,9,10,11],[1,3,6,9,12,13],[1,4,6,8,10,13],[1,4,7,8,9,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,6,7,10,12],[2,4,9,10,11,13],[2,5,6,8,9,13],[2,5,7,8,9,10],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,7,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,7,10,11,13],[4,5,6,7,9,11],[4,5,6,10,12,13]];
G[1003]:=Group([(2,10,13)(3,8,12)(4,11,9)(5,6,7)]);
# Design 1004: autom. group order 3, simple
B[1004]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,6,9,12,13],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,6,7,9,10],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,8,12,13],[2,6,8,9,10,11],[3,4,5,8,9,13],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,8,10],[3,5,7,9,11,12],[4,5,6,7,9,11],[4,5,6,8,11,13]];
G[1004]:=Group([(2,12,13)(3,8,10)(4,9,11)(5,6,7)]);
# Design 1005: autom. group order 3, simple
B[1005]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,9,11,12,13],[1,3,6,7,11,13],[1,3,6,9,10,12],[1,4,6,8,10,11],[1,4,7,9,11,13],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,9,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,8,9,11,12],[3,4,5,8,12,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,5,7,9,10,11],[4,5,6,8,9,11],[4,5,6,9,10,13]];
G[1005]:=Group([(2,10,13)(3,8,11)(4,6,7)(5,12,9)]);
# Design 1006: autom. group order 3, simple
B[1006]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,9,11,12,13],[1,3,6,7,11,13],[1,3,6,9,10,12],[1,4,6,8,10,11],[1,4,7,9,11,13],[1,5,7,8,9,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,9,13],[2,3,8,10,11,13],[2,4,6,8,12,13],[2,4,7,9,10,12],[2,5,6,7,12,13],[2,5,7,8,10,11],[2,6,7,9,10,11],[3,4,5,7,10,13],[3,4,7,8,9,12],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,6,8,9,11],[4,5,6,9,10,13]];
G[1006]:=Group([(2,10,13)(3,8,11)(4,6,7)(5,12,9)]);
# Design 1007: autom. group order 3, simple
B[1007]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,10,11],[1,3,6,10,12,13],[1,4,6,8,9,13],[1,4,7,10,12,13],[1,5,8,9,12,13],[1,5,8,10,11,12],[1,6,7,8,9,11],[2,3,6,8,9,12],[2,3,7,8,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,6,8,10,13],[2,6,9,10,11,12],[3,4,5,9,11,13],[3,4,6,11,12,13],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,5,7,9,10,13],[4,5,6,7,8,10],[4,5,6,7,9,12]];
G[1007]:=Group([(1,3,12)(2,8,5)(4,7,11)(6,13,10)]);
# Design 1008: autom. group order 3, simple, derived
B[1008]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,9,10,11,13],[1,3,6,7,11,12],[1,3,6,9,12,13],[1,4,6,7,9,13],[1,4,8,9,10,11],[1,5,7,8,11,13],[1,5,8,10,12,13],[1,6,7,8,10,12],[2,3,6,8,10,13],[2,3,8,11,12,13],[2,4,7,8,9,12],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,12],[2,6,7,9,10,11],[3,4,5,7,10,13],[3,4,6,8,10,11],[3,4,9,11,12,13],[3,5,7,8,9,11],[3,5,7,9,10,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1008]:=Group([(1,3,9)(2,5,10)(4,7,11)(6,12,13)]);
# Design 1009: autom. group order 3, simple, derived
B[1009]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,7,12,13],[1,3,6,9,11,13],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,7,10,11,12],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,6,9,12,13],[2,4,10,11,12,13],[2,5,6,7,9,10],[2,5,6,8,10,13],[2,6,7,9,11,12],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,8,9,10,12],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,6,7,8,13],[4,5,7,8,9,11]];
G[1009]:=Group([(1,9,13)(3,6,11)(4,7,10)(5,12,8)]);
# Design 1010: autom. group order 3, simple
B[1010]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,10,12],[1,3,6,8,9,13],[1,4,6,10,11,13],[1,4,7,9,12,13],[1,5,8,9,10,11],[1,5,8,10,12,13],[1,6,7,8,11,12],[2,3,8,9,12,13],[2,3,10,11,12,13],[2,4,6,8,10,12],[2,4,7,8,10,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,9,10,11],[3,4,5,7,11,13],[3,4,6,8,9,11],[3,4,9,10,11,12],[3,5,6,7,10,13],[3,5,7,8,11,12],[4,5,6,9,12,13],[4,5,7,8,9,10]];
G[1010]:=Group([(1,4,10)(2,8,5)(3,7,9)(6,13,11)]);
# Design 1011: autom. group order 3, simple, derived
B[1011]:=[[1,2,3,4,5,6],[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],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,7,8,10,11],[2,3,7,9,10,12],[2,3,8,9,11,13],[2,4,6,8,10,11],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,6,8,10,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,9,10,11],[3,5,8,11,12,13],[4,5,6,7,9,11],[4,5,7,9,10,13]];
G[1011]:=Group([(1,4,12)(2,11,5)(3,10,8)(6,13,9)]);
# Design 1012: autom. group order 3, simple, derived
B[1012]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,8,11,13],[1,3,6,9,11,13],[1,3,6,10,12,13],[1,4,6,7,9,11],[1,4,8,9,10,13],[1,5,7,9,12,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[2,3,7,8,9,12],[2,3,7,10,11,13],[2,4,6,9,12,13],[2,4,10,11,12,13],[2,5,6,7,10,13],[2,5,6,8,9,10],[2,6,8,9,11,12],[3,4,5,8,12,13],[3,4,6,8,10,11],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,7,8,13],[4,5,7,9,10,11]];
G[1012]:=Group([(1,9,13)(3,6,11)(4,8,10)(5,12,7)]);
# Design 1013: autom. group order 3, simple
B[1013]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,10,12,13],[1,4,7,8,10,12],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,8,9,10,12],[2,4,6,8,9,13],[2,4,10,11,12,13],[2,5,6,7,8,12],[2,5,6,7,10,13],[2,6,8,9,11,12],[3,4,5,8,11,13],[3,4,6,7,9,10],[3,4,7,9,11,12],[3,5,6,10,11,12],[3,5,7,8,12,13],[4,5,6,7,9,11],[4,5,8,9,10,13]];
G[1013]:=Group([(1,8,13)(3,6,11)(4,9,7)(5,12,10)]);
# Design 1014: autom. group order 3, simple
B[1014]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,10,13],[1,3,7,8,11,12],[1,4,6,10,11,13],[1,4,9,10,12,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,8,9,11,12],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,7,10,12,13],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,5,6,11,12,13],[3,5,7,9,10,11],[4,5,6,7,9,11],[4,5,7,8,10,11]];
G[1014]:=Group([(1,12,13)(3,6,8)(4,10,9)(5,7,11)]);
# Design 1015: autom. group order 3, simple, derived
B[1015]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,11,13],[1,3,6,7,10,11],[1,3,9,11,12,13],[1,4,6,8,12,13],[1,4,7,10,12,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,7,8,10,12],[2,4,6,8,9,11],[2,4,7,9,10,13],[2,5,6,10,12,13],[2,5,8,10,11,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,9,10,12],[3,4,8,10,11,13],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,7,10,11],[4,5,7,9,11,12]];
G[1015]:=Group([(1,8,11)(2,7,5)(3,12,4)(6,10,9)]);
# Design 1016: autom. group order 3, simple
B[1016]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,5,11,12],[1,2,7,9,10,13],[1,3,6,7,11,12],[1,3,9,11,12,13],[1,4,6,9,11,13],[1,4,7,8,10,12],[1,5,6,7,8,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,6,9,10,12],[2,4,7,10,11,13],[2,5,6,7,11,13],[2,5,8,9,11,12],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,7,9,10],[3,5,7,10,11,12],[4,5,6,10,12,13],[4,5,7,8,9,11]];
G[1016]:=Group([(1,12,13)(3,9,11)(4,6,7)(5,8,10)]);
# Design 1017: autom. group order 3, simple, derived
B[1017]:=[[1,2,3,4,5,6],[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],[1,3,8,9,10,13],[1,4,6,10,11,13],[1,4,7,9,10,12],[1,5,6,7,8,13],[1,5,8,9,11,12],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,6,8,12,13],[2,4,8,9,11,13],[2,5,6,7,10,11],[2,5,7,8,10,13],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,7,9,11],[3,4,7,8,10,11],[3,5,6,9,11,13],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,9,12,13]];
G[1017]:=Group([(1,3,11)(2,7,12)(4,8,5)(6,10,9)]);
# Design 1018: autom. group order 3, simple, derived
B[1018]:=[[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],[1,3,8,10,11,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,7,8,11,12],[2,5,8,9,10,11],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,7,9,10,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[1018]:=Group([(2,11,13)(3,12,9)(4,10,7)(5,6,8)]);
# Design 1019: autom. group order 3, simple, derived
B[1019]:=[[1,2,3,4,5,6],[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],[1,3,9,10,12,13],[1,4,5,7,8,13],[1,4,8,9,10,12],[1,5,8,10,11,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,10,13],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,9,11,13],[2,5,7,8,9,12],[2,5,7,9,10,11],[2,6,7,8,10,12],[3,4,5,7,10,12],[3,4,7,10,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1019]:=Group([(1,2,9)(3,5,10)(4,7,12)(6,11,13)]);
# Design 1020: autom. group order 3, simple, derived
B[1020]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,8,9,10,11],[1,5,7,8,12,13],[1,6,7,8,10,12],[1,6,7,9,10,11],[2,3,6,8,10,12],[2,3,7,8,11,13],[2,4,6,7,9,13],[2,4,9,10,12,13],[2,5,7,8,9,11],[2,5,7,9,10,12],[2,6,8,10,11,13],[3,4,5,7,10,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[4,5,6,7,11,12],[4,5,6,8,9,13]];
G[1020]:=Group([(1,8,9)(3,7,5)(4,11,10)(6,13,12)]);
# Design 1021: autom. group order 3, simple, derived
B[1021]:=[[1,2,3,4,5,6],[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],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,6,7,8,10,11],[1,6,7,9,11,12],[2,3,6,7,8,13],[2,3,8,10,11,12],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,12,13],[3,4,5,7,11,12],[3,4,7,9,12,13],[3,4,8,9,10,11],[3,5,6,8,11,13],[3,5,6,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,11]];
G[1021]:=Group([(1,2,11)(3,10,7)(4,12,6)(5,13,9)]);
# Design 1022: autom. group order 3, simple, derived
B[1022]:=[[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],[1,3,8,10,11,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,7,8,11,12],[2,6,7,8,9,11],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[1022]:=Group([(2,11,13)(3,12,9)(4,10,7)(5,6,8)]);
# Design 1023: autom. group order 3, simple, derived
B[1023]:=[[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],[1,3,8,10,11,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,7,12,13],[3,4,7,8,9,11],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,6,9,11,13]];
G[1023]:=Group([(2,11,13)(3,12,9)(4,10,7)(5,6,8)]);
# Design 1024: autom. group order 3, simple
B[1024]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,5,8,12,13],[1,4,9,10,12,13],[1,5,8,10,11,12],[1,6,7,8,10,11],[1,6,7,9,11,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,8,9,10],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,9,11],[3,4,6,8,10,11],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,6,7,10,13]];
G[1024]:=Group([(1,2,9)(3,5,10)(4,8,13)(7,11,12)]);
# Design 1025: autom. group order 3, simple, derived
B[1025]:=[[1,2,3,4,5,6],[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],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,7,9,10,12],[2,4,8,10,11,13],[2,5,6,8,9,10],[2,5,8,9,12,13],[2,6,7,8,9,11],[3,4,5,7,9,11],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,5,6,8,11,13],[3,5,7,10,11,12],[4,5,6,7,10,13],[4,5,6,9,11,12]];
G[1025]:=Group([(1,2,9)(3,5,10)(4,8,13)(7,12,11)]);
# Design 1026: autom. group order 3, simple, derived
B[1026]:=[[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],[1,3,8,10,11,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,8,11,13],[2,5,8,9,10,11],[2,6,7,9,10,12],[3,4,5,10,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[1026]:=Group([(2,11,13)(3,12,9)(4,10,7)(5,6,8)]);
# Design 1027: autom. group order 3, simple, derived
B[1027]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,9,10,11,12],[1,5,7,8,12,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,6,10,12,13],[2,4,7,8,9,11],[2,5,6,8,9,12],[2,5,8,9,10,11],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,9,13],[4,5,7,10,11,12]];
G[1027]:=Group([(1,2,9)(3,5,10)(4,8,12)(6,11,7)]);
# Design 1028: autom. group order 3, simple, derived
B[1028]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,9,10,12],[1,4,7,8,10,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,6,10,11,13],[2,4,7,9,12,13],[2,5,6,7,8,9],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,7,10,12],[3,5,6,7,11,13],[4,5,6,8,12,13],[4,5,7,9,10,11]];
G[1028]:=Group([(2,8,12)(3,10,11)(4,7,6)(5,13,9)]);
# Design 1029: autom. group order 3, simple, derived
B[1029]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,9,10,12],[1,4,7,8,10,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,6,8,9,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,7,8,9,11],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,6,8,12,13],[4,5,6,10,11,13],[4,5,7,8,9,12]];
G[1029]:=Group([(2,8,12)(3,10,11)(4,7,6)(5,13,9)]);
# Design 1030: autom. group order 3, simple
B[1030]:=[[1,2,3,4,5,6],[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],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,9,10,12],[2,3,8,10,11,12],[2,4,6,9,10,13],[2,4,7,8,9,13],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,6,8,10,11,13],[3,4,5,9,11,13],[3,4,6,7,8,11],[3,4,7,10,12,13],[3,5,6,7,10,11],[3,5,6,8,12,13],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[1030]:=Group([(1,3,12)(2,10,4)(5,7,11)(6,9,13)]);
# Design 1031: autom. group order 3, simple
B[1031]:=[[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],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,7,8,9,12],[1,5,7,8,11,13],[1,6,8,9,10,11],[1,6,9,10,12,13],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,6,11,12,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,10,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,6,8,9,13],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[1031]:=Group([(1,3,13)(2,8,5)(4,9,11)(6,12,7)]);
# Design 1032: autom. group order 3, simple, derived
B[1032]:=[[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],[1,3,6,7,11,12],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,7,8,10,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[1,6,8,9,11,13],[2,3,7,8,9,12],[2,3,8,11,12,13],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,6,7,10,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,9,10,11,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[4,5,6,8,9,12],[4,5,7,9,11,12]];
G[1032]:=Group([(1,2,8)(3,7,4)(5,9,13)(6,12,10)]);
# Design 1033: autom. group order 3, simple
B[1033]:=[[1,2,3,4,5,6],[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],[1,3,7,9,11,13],[1,4,5,8,12,13],[1,4,7,8,10,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,11,12],[2,3,7,8,9,12],[2,3,8,10,11,12],[2,4,6,7,9,10],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,7,10,11,13],[2,6,8,9,12,13],[3,4,5,7,11,12],[3,4,6,9,10,13],[3,4,8,9,11,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[4,5,6,8,9,11],[4,5,7,9,10,12]];
G[1033]:=Group([(1,2,11)(3,10,7)(4,12,6)(5,13,9)]);
# Design 1034: autom. group order 3, simple, derived
B[1034]:=[[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],[1,3,8,10,11,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,7,8,10,12],[2,3,9,11,12,13],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,8,11,13],[2,5,6,10,12,13],[2,6,7,8,9,11],[3,4,5,8,11,13],[3,4,6,7,12,13],[3,4,6,9,10,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,6,7,8,10],[4,5,7,9,11,12]];
G[1034]:=Group([(2,11,13)(3,12,9)(4,10,7)(5,6,8)]);
# Design 1035: autom. group order 3, simple, derived
B[1035]:=[[1,2,3,4,5,6],[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],[1,3,10,11,12,13],[1,4,5,8,10,12],[1,4,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,12,13],[2,3,8,9,11,12],[2,4,7,10,11,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,6,7,10,13],[3,4,6,8,9,10],[3,5,6,7,11,12],[3,5,7,9,10,12],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[1035]:=Group([(1,8,11)(3,12,4)(5,13,10)(6,7,9)]);
# Design 1036: autom. group order 3, simple, derived
B[1036]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,9,10,12],[1,4,7,8,10,13],[1,5,8,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,7,9,12,13],[2,4,8,9,11,13],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,6,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,8,12,13],[4,5,7,9,10,11]];
G[1036]:=Group([(2,8,12)(3,10,11)(4,7,6)(5,13,9)]);
# Design 1037: autom. group order 3, simple, derived
B[1037]:=[[1,2,3,4,5,6],[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],[1,3,10,11,12,13],[1,4,5,8,10,12],[1,4,8,9,10,13],[1,5,7,11,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,7,8,12,13],[2,3,8,9,11,12],[2,4,7,10,11,13],[2,4,9,10,11,12],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,6,8,9,10,13],[3,4,5,8,11,13],[3,4,6,7,9,12],[3,4,6,7,10,13],[3,5,6,8,10,11],[3,5,7,9,10,12],[4,5,6,9,12,13],[4,5,7,8,9,11]];
G[1037]:=Group([(1,8,11)(3,12,4)(5,13,10)(6,7,9)]);
# Design 1038: autom. group order 3, simple, derived
B[1038]:=[[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],[1,3,7,9,11,12],[1,3,8,11,12,13],[1,4,5,8,10,13],[1,4,6,11,12,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,7,8,9,12],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,8,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,6,8,9,11],[4,5,6,7,10,12],[4,5,7,9,11,13]];
G[1038]:=Group([(1,10,12)(3,13,5)(4,11,8)(6,7,9)]);
# Design 1039: autom. group order 3, simple
B[1039]:=[[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],[1,3,7,8,10,11],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,8,10,11,12],[1,5,6,10,11,13],[1,6,7,8,9,13],[1,6,7,9,11,12],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,7,10,11,13],[2,4,9,11,12,13],[2,5,7,8,9,12],[2,5,8,9,10,11],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,6,8,9,13],[3,4,7,9,10,12],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,7,9,10],[4,5,6,8,10,12]];
G[1039]:=Group([(1,5,10)(2,9,3)(4,8,12)(6,11,13)]);
# Design 1040: autom. group order 3, simple, derived
B[1040]:=[[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,6,8,12,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,7,11,12],[4,5,6,9,10,12]];
G[1040]:=Group([(2,8,12)(3,6,13)(4,10,11)(5,7,9)]);
# Design 1041: autom. group order 3, simple, derived
B[1041]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,8,13],[1,3,7,9,10,11],[1,3,8,9,12,13],[1,4,5,9,12,13],[1,4,7,10,11,12],[1,5,6,10,11,13],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,10,12,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,7,9,11,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,5,6,7,9,11],[3,5,6,8,10,12],[4,5,6,7,8,9],[4,5,7,8,10,12]];
G[1041]:=Group([(1,7,12)(2,9,8)(3,5,6)(4,11,10)]);
# Design 1042: autom. group order 3, simple, derived
B[1042]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,8,9,10,13],[1,5,6,8,12,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,6,8,9,13],[2,4,10,11,12,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,5,7,8,11],[3,4,6,9,10,11],[3,4,7,9,12,13],[3,5,6,8,11,13],[3,5,6,9,10,12],[4,5,6,7,10,13],[4,5,8,9,11,12]];
G[1042]:=Group([(1,2,11)(3,10,7)(4,12,6)(5,13,9)]);
# Design 1043: autom. group order 3, simple, derived
B[1043]:=[[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,8,9,10,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,9,10,12],[4,5,7,9,10,11]];
G[1043]:=Group([(2,8,12)(3,6,13)(4,10,11)(5,7,9)]);
# Design 1044: autom. group order 3, simple, derived
B[1044]:=[[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,9,10,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,7,9,10,11],[3,4,5,7,10,12],[3,4,6,10,11,13],[3,4,7,8,9,11],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,6,9,10,12],[4,5,8,9,11,13]];
G[1044]:=Group([(2,8,12)(3,6,13)(4,10,11)(5,7,9)]);
# Design 1045: autom. group order 3, simple, derived
B[1045]:=[[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],[1,3,7,9,11,12],[1,3,8,11,12,13],[1,4,5,8,10,13],[1,4,8,10,11,12],[1,5,6,7,11,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,7,8,9,12],[2,4,9,10,11,13],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,10,11,12],[3,4,6,7,8,13],[3,4,6,9,12,13],[3,5,6,8,9,11],[3,5,7,8,9,10],[4,5,6,7,10,12],[4,5,7,9,11,13]];
G[1045]:=Group([(1,10,12)(3,13,5)(4,11,8)(6,7,9)]);
# Design 1046: autom. group order 3, simple, derived
B[1046]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,5,9,10,12],[1,4,8,9,11,13],[1,5,6,8,10,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,7,8,9,13],[2,4,10,11,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,9,10],[3,4,5,7,8,12],[3,4,6,7,10,11],[3,4,6,9,10,13],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,8,12,13],[4,5,7,9,10,11]];
G[1046]:=Group([(1,2,12)(3,10,7)(4,11,6)(5,13,9)]);
# Design 1047: autom. group order 3, simple
B[1047]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,8,9,10,12],[1,3,8,11,12,13],[1,4,5,8,9,13],[1,4,7,10,11,12],[1,5,6,10,12,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,7,9,10,13],[2,4,9,10,11,12],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,8,12,13],[3,4,5,7,12,13],[3,4,6,7,8,10],[3,4,6,9,12,13],[3,5,6,7,10,11],[3,5,7,9,11,12],[4,5,6,8,9,11],[4,5,8,10,11,13]];
G[1047]:=Group([(1,7,13)(2,5,11)(4,12,8)(6,9,10)]);
# Design 1048: autom. group order 3, simple, derived
B[1048]:=[[1,2,3,4,5,6],[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],[1,3,7,9,11,12],[1,4,5,8,10,12],[1,4,9,10,12,13],[1,5,6,7,8,13],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,7,8,9,10],[2,4,7,10,11,13],[2,5,6,7,10,11],[2,5,8,11,12,13],[2,6,7,8,9,12],[3,4,5,7,12,13],[3,4,6,8,9,11],[3,4,6,10,11,13],[3,5,6,7,10,12],[3,5,8,9,10,11],[4,5,6,8,9,13],[4,5,7,9,11,12]];
G[1048]:=Group([(1,2,7)(3,4,8)(5,10,13)(6,9,11)]);
# Design 1049: autom. group order 3, simple
B[1049]:=[[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],[1,3,7,9,10,12],[1,3,8,9,11,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,3,7,10,11,13],[2,4,7,8,10,11],[2,4,7,9,12,13],[2,5,6,10,11,12],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,5,8,10,12],[3,4,6,9,11,13],[3,4,6,10,12,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,7,9,10],[4,5,8,9,11,12]];
G[1049]:=Group([(1,3,13)(2,11,8)(4,7,10)(5,9,6)]);
# Design 1050: autom. group order 3, simple, derived
B[1050]:=[[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,8,9,11,13],[3,4,5,8,12,13],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,7,11,12],[4,5,7,9,10,11]];
G[1050]:=Group([(2,8,12)(3,6,13)(4,10,11)(5,7,9)]);
# Design 1051: autom. group order 3, simple, derived
B[1051]:=[[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,8,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,7,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,9,13],[3,5,8,9,10,11],[4,5,6,7,11,12],[4,5,8,9,11,13]];
G[1051]:=Group([(2,8,12)(3,6,13)(4,10,11)(5,7,9)]);
# Design 1052: autom. group order 3, simple
B[1052]:=[[1,2,3,4,5,6],[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],[1,3,8,11,12,13],[1,4,5,7,9,13],[1,4,7,8,10,12],[1,5,6,8,10,13],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,6,9,10,13],[2,4,8,9,10,11],[2,5,6,7,8,11],[2,5,7,8,9,12],[2,6,7,10,12,13],[3,4,5,10,12,13],[3,4,6,7,8,13],[3,4,6,9,11,12],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,7,10,11,12],[4,5,8,9,11,13]];
G[1052]:=Group([(1,7,12)(2,11,9)(3,5,6)(4,10,8)]);
# Design 1053: autom. group order 3, simple, derived
B[1053]:=[[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],[1,3,9,11,12,13],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,7,8,11],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,7,8,11,13],[2,3,8,9,10,13],[2,4,6,7,12,13],[2,4,8,10,11,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,7,10,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,7,9,10,11],[4,5,8,9,11,13]];
G[1053]:=Group([(2,8,12)(3,6,13)(4,10,11)(5,7,9)]);
# Design 1054: autom. group order 3, simple
B[1054]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,9,10,11],[1,2,5,8,10,12],[1,3,6,8,12,13],[1,3,6,10,11,12],[1,4,5,11,12,13],[1,4,6,9,10,13],[1,5,7,10,11,13],[1,6,7,8,9,13],[1,7,8,9,11,12],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,6,8,11,12],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,10,11],[3,5,8,9,10,12],[4,5,6,7,8,11],[4,5,6,8,9,10]];
G[1054]:=Group([(1,11,12)(3,13,7)(4,8,10)(5,9,6)]);
# Design 1055: autom. group order 3, simple, derived
B[1055]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,11],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,7,8,9,12],[1,6,8,9,10,12],[1,7,8,9,11,13],[2,3,6,9,12,13],[2,3,7,8,10,13],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,8,11,12],[2,5,8,10,12,13],[2,6,7,9,10,11],[3,4,5,8,9,11],[3,4,7,9,10,12],[3,4,8,11,12,13],[3,5,6,7,11,12],[3,5,9,10,11,13],[4,5,6,7,8,10],[4,5,6,7,9,13]];
G[1055]:=Group([(1,3,6)(2,12,10)(4,7,11)(5,13,8)]);
# Design 1056: autom. group order 3, simple, derived
B[1056]:=[[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],[1,3,6,7,11,12],[1,3,6,8,9,13],[1,4,5,9,10,12],[1,4,6,9,11,13],[1,5,7,10,12,13],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,9,10,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,7,8,9,12],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,8,9,11,13],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[1056]:=Group([(1,2,10)(3,9,5)(4,6,12)(8,11,13)]);
# Design 1057: autom. group order 3, simple, derived
B[1057]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,10,13],[1,3,6,7,11,13],[1,3,6,8,10,12],[1,4,5,11,12,13],[1,4,6,10,12,13],[1,5,7,8,9,11],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,6,9,11,13],[2,3,8,11,12,13],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,7,8,12],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,8,9,12],[3,4,7,8,10,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,9,10,12,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[1057]:=Group([(1,3,6)(2,11,10)(4,7,12)(5,13,8)]);
# Design 1058: autom. group order 3, simple
B[1058]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,6,8,9,10],[1,5,8,10,11,13],[1,6,7,9,10,13],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,3,8,9,12,13],[2,4,6,7,9,13],[2,4,10,11,12,13],[2,5,6,8,10,12],[2,5,7,9,10,12],[2,6,7,8,10,11],[3,4,5,7,10,11],[3,4,7,10,12,13],[3,4,8,9,10,11],[3,5,6,9,11,12],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,6,9,11,13]];
G[1058]:=Group([(1,3,13)(2,8,5)(4,9,11)(6,12,10)]);
# Design 1059: autom. group order 3, simple
B[1059]:=[[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],[1,3,6,9,11,12],[1,4,5,9,10,13],[1,4,6,8,9,11],[1,5,8,10,11,13],[1,6,7,10,12,13],[1,7,8,9,10,12],[2,3,6,9,10,13],[2,3,8,10,11,12],[2,4,6,8,10,12],[2,4,7,9,11,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,7,10,12],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[1059]:=Group([(1,2,10)(3,9,5)(4,6,13)(7,11,8)]);
# Design 1060: autom. group order 3, simple, derived
B[1060]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,12],[1,4,5,7,10,13],[1,4,6,10,12,13],[1,5,7,8,9,11],[1,6,8,9,10,11],[1,7,8,9,12,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,6,8,9,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,8,9,12],[3,4,7,9,10,11],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,9,10,12,13],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[1060]:=Group([(1,3,6)(2,11,10)(4,7,12)(5,13,8)]);
# Design 1061: autom. group order 3, simple
B[1061]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,7,9,10,11,12],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,7,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,6,9,10,12],[2,6,7,8,9,13],[3,4,5,7,11,12],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,5,7,8,9,11],[3,5,7,10,12,13],[4,5,6,8,9,11],[4,5,6,10,11,13]];
G[1061]:=Group([(1,7,13)(2,5,11)(4,12,6)(8,10,9)]);
# Design 1062: autom. group order 3, simple
B[1062]:=[[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],[1,3,6,8,12,13],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,6,9,11,12],[1,5,7,9,10,12],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,9,11,13],[3,4,5,9,12,13],[3,4,7,8,10,11],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,10,12],[4,5,7,8,9,13]];
G[1062]:=Group([(1,2,13)(3,7,6)(4,12,8)(5,11,10)]);
# Design 1063: autom. group order 3, simple
B[1063]:=[[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],[1,3,6,8,10,12],[1,3,6,9,12,13],[1,4,5,9,11,12],[1,4,6,8,11,13],[1,5,7,8,10,13],[1,6,7,9,10,12],[1,7,8,9,11,13],[2,3,7,11,12,13],[2,3,8,9,10,11],[2,4,6,8,9,13],[2,4,9,10,12,13],[2,5,6,7,12,13],[2,5,6,8,9,10],[2,6,7,8,11,12],[3,4,5,8,12,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[1063]:=Group([(1,2,12)(3,7,6)(4,11,10)(5,13,9)]);
# Design 1064: autom. group order 3, simple
B[1064]:=[[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],[1,3,6,10,12,13],[1,4,5,7,12,13],[1,4,6,8,9,10],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,6,8,10,11],[2,6,7,8,9,13],[3,4,5,8,10,13],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,7,9,10,11],[4,5,6,9,11,12],[4,5,7,8,10,12]];
G[1064]:=Group([(2,6,13)(3,12,5)(4,10,11)(7,9,8)]);
# Design 1065: autom. group order 3, simple
B[1065]:=[[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],[1,3,6,10,12,13],[1,4,5,7,12,13],[1,4,6,8,9,10],[1,5,8,9,11,13],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,7,8,10,13],[2,3,8,9,12,13],[2,4,6,10,11,13],[2,4,9,10,12,13],[2,5,6,7,8,12],[2,5,6,8,10,11],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,7,11,13],[3,4,8,9,11,12],[3,5,6,7,9,13],[3,5,7,9,10,11],[4,5,6,8,9,13],[4,5,7,8,10,12]];
G[1065]:=Group([(2,6,13)(3,12,5)(4,10,11)(7,9,8)]);
# Design 1066: autom. group order 3, simple
B[1066]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,8,10,11],[1,3,6,11,12,13],[1,4,5,7,12,13],[1,4,6,9,10,12],[1,5,8,10,11,12],[1,6,7,9,11,13],[1,7,8,9,10,13],[2,3,7,10,12,13],[2,3,8,9,11,12],[2,4,6,8,11,13],[2,4,9,10,11,13],[2,5,6,7,9,11],[2,5,6,10,12,13],[2,6,7,8,10,12],[3,4,5,10,11,13],[3,4,6,7,9,10],[3,4,8,9,12,13],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[1066]:=Group([(1,9,11)(2,12,10)(3,8,5)(6,13,7)]);
# Design 1067: autom. group order 3, simple
B[1067]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,8,9,12],[1,5,7,8,11,13],[1,6,8,9,10,11],[1,7,9,10,12,13],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,6,7,11,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,6,7,9,10],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,5,6,8,9,13],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,10,12]];
G[1067]:=Group([(1,3,13)(2,8,5)(4,9,11)(6,12,7)]);
# Design 1068: autom. group order 3, simple, derived
B[1068]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,10],[1,2,5,11,12,13],[1,3,6,7,11,12],[1,3,6,9,11,13],[1,4,5,8,11,13],[1,4,8,10,12,13],[1,5,7,10,12,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,7,8,11,13],[2,3,8,9,12,13],[2,4,6,9,12,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,6,8,10,11],[2,7,9,10,11,13],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,10,13],[3,5,8,9,10,12],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[1068]:=Group([(2,6,13)(3,11,5)(4,9,12)(7,8,10)]);
# Design 1069: autom. group order 3, simple, derived
B[1069]:=[[1,2,3,4,5,6],[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],[1,3,6,11,12,13],[1,4,5,8,11,12],[1,4,7,9,10,13],[1,5,7,8,10,13],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,6,8,9,10],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,6,7,9,11],[3,4,8,9,11,13],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,7,8,13],[4,5,9,10,11,12]];
G[1069]:=Group([(1,7,12)(2,11,4)(3,10,5)(6,13,9)]);
# Design 1070: autom. group order 3, simple
B[1070]:=[[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],[1,3,6,8,10,13],[1,3,9,10,12,13],[1,4,5,6,9,12],[1,4,7,11,12,13],[1,5,8,9,11,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,9,11,12],[2,3,7,8,12,13],[2,4,6,8,11,13],[2,4,8,9,10,12],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,5,8,10,11],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,7,12,13],[4,5,7,8,9,10]];
G[1070]:=Group([(1,5,10)(2,11,13)(4,8,6)(7,12,9)]);
# Design 1071: autom. group order 3, simple
B[1071]:=[[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],[1,3,6,7,10,13],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,9,11,12,13],[1,5,7,10,11,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,7,8,12,13],[2,4,6,9,10,13],[2,4,8,10,11,13],[2,5,6,7,12,13],[2,5,8,9,10,13],[2,6,7,9,11,12],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,9,11,13],[4,5,6,7,8,9],[4,5,7,8,10,12]];
G[1071]:=Group([(1,2,12)(3,6,9)(4,7,13)(5,11,8)]);
# Design 1072: autom. group order 3, simple
B[1072]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,6,10,13],[1,4,10,11,12,13],[1,5,7,9,12,13],[1,6,7,8,9,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,10,13],[2,4,6,9,10,12],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,8,9,10,12],[2,6,7,10,11,13],[3,4,5,9,11,13],[3,4,6,8,12,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[1072]:=Group([(1,2,11)(3,6,10)(4,7,12)(5,13,8)]);
# Design 1073: autom. group order 3, simple
B[1073]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,5,6,12,13],[1,4,8,9,11,13],[1,5,7,10,11,12],[1,6,7,9,10,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,6,7,8,10],[2,4,7,10,12,13],[2,5,6,8,9,11],[2,5,8,10,12,13],[2,6,7,9,11,12],[3,4,5,9,10,12],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,6,7,9,13],[3,5,7,8,11,12],[4,5,6,8,10,11],[4,5,7,8,9,13]];
G[1073]:=Group([(1,4,8)(2,7,3)(5,10,12)(9,13,11)]);
# Design 1074: autom. group order 3, simple, derived
B[1074]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,5,6,8,12],[1,4,9,10,11,13],[1,5,8,9,12,13],[1,6,7,8,10,11],[1,6,7,9,11,12],[2,3,6,8,9,11],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,8,10,12],[2,5,6,10,12,13],[2,5,7,10,11,12],[2,6,7,8,9,13],[3,4,5,7,11,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,9,12],[3,5,8,9,10,11],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[1074]:=Group([(1,7,9)(2,8,5)(3,4,10)(6,12,11)]);
# Design 1075: autom. group order 3, simple
B[1075]:=[[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],[1,3,7,9,12,13],[1,4,5,6,10,13],[1,4,8,9,10,13],[1,5,7,11,12,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,6,9,11,12],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,7,8,11],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,5,8,10,11,12],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[1075]:=Group([(2,10,12)(3,8,13)(4,9,7)(5,6,11)]);
# Design 1076: autom. group order 3, simple
B[1076]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,8,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,5,6,12,13],[1,4,8,10,11,12],[1,5,8,9,10,11],[1,6,7,8,9,11],[1,6,7,9,12,13],[2,3,6,9,11,12],[2,3,8,11,12,13],[2,4,6,9,10,13],[2,4,7,10,11,13],[2,5,6,7,10,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,7,11,12],[3,4,6,7,8,9],[3,4,8,9,10,13],[3,5,6,8,11,13],[3,5,7,9,10,12],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[1076]:=Group([(2,11,13)(3,8,12)(4,10,7)(5,9,6)]);
# Design 1077: autom. group order 3, simple, derived
B[1077]:=[[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],[1,4,5,6,8,10],[1,4,9,10,12,13],[1,5,7,8,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,6,7,10,12],[2,3,7,8,9,13],[2,4,6,8,11,13],[2,4,7,9,10,13],[2,5,6,9,12,13],[2,5,8,9,10,11],[2,6,8,10,11,12],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,8,10,12,13],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[1077]:=Group([(1,4,11)(2,12,13)(5,9,6)(7,10,8)]);
# Design 1078: autom. group order 3, simple
B[1078]:=[[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],[1,3,6,8,10,13],[1,3,7,10,11,12],[1,4,5,6,12,13],[1,4,9,10,12,13],[1,5,7,9,12,13],[1,6,7,8,11,13],[1,6,8,9,10,11],[2,3,8,9,12,13],[2,3,10,11,12,13],[2,4,6,7,10,13],[2,4,6,10,11,12],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,8,11,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,9,10],[3,5,6,7,11,12],[4,5,7,8,10,12],[4,5,8,9,10,11]];
G[1078]:=Group([(1,8,12)(2,5,11)(3,4,10)(6,9,13)]);
# Design 1079: autom. group order 3, simple, derived
B[1079]:=[[1,2,3,4,5,6],[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],[1,4,5,6,12,13],[1,4,8,10,12,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,11,13],[2,3,7,9,12,13],[2,3,10,11,12,13],[2,4,6,7,8,10],[2,4,6,10,11,13],[2,5,6,8,9,13],[2,5,8,10,11,12],[2,6,7,8,9,12],[3,4,5,8,9,11],[3,4,6,9,10,12],[3,4,7,8,11,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[4,5,7,9,10,11],[4,5,7,9,12,13]];
G[1079]:=Group([(1,2,11)(3,10,6)(4,12,9)(5,13,7)]);
# Design 1080: autom. group order 3, simple
B[1080]:=[[1,2,3,4,5,6],[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],[1,3,8,9,11,13],[1,4,5,6,10,12],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[2,3,7,8,10,12],[2,3,10,11,12,13],[2,4,6,7,9,13],[2,4,6,8,10,13],[2,5,6,8,11,12],[2,5,7,9,12,13],[2,6,8,9,10,11],[3,4,5,8,9,11],[3,4,6,7,11,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,6,9,12,13],[4,5,7,8,11,12],[4,5,8,9,10,13]];
G[1080]:=Group([(1,3,12)(2,10,4)(5,7,11)(6,8,13)]);
# Design 1081: autom. group order 3, simple, derived
B[1081]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,11,12],[1,3,7,8,9,13],[1,4,5,6,12,13],[1,4,8,10,12,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,11,13],[2,3,7,11,12,13],[2,3,9,10,12,13],[2,4,6,7,8,10],[2,4,6,7,9,13],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[4,5,7,9,10,11],[4,5,7,9,12,13]];
G[1081]:=Group([(1,9,12)(2,4,11)(3,5,7)(6,10,13)]);
# Design 1082: autom. group order 3, simple, derived
B[1082]:=[[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],[1,3,9,10,11,12],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,5,6,7,11,12],[1,6,7,8,10,13],[1,7,8,9,11,13],[2,3,6,7,10,13],[2,3,6,11,12,13],[2,4,6,9,11,13],[2,4,7,8,10,12],[2,5,7,9,12,13],[2,5,8,10,11,12],[2,6,8,9,10,11],[3,4,5,8,11,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,7,9,10,13],[4,5,6,7,9,12],[4,5,6,8,9,10]];
G[1082]:=Group([(1,6,12)(3,13,5)(4,11,8)(7,9,10)]);
# Design 1083: autom. group order 3, simple
B[1083]:=[[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],[1,3,8,10,11,12],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,6,8,11,12],[1,6,7,8,9,13],[1,7,9,10,11,13],[2,3,6,8,10,13],[2,3,6,11,12,13],[2,4,6,9,11,13],[2,4,7,8,9,12],[2,5,7,10,11,12],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,5,7,11,13],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,8,9,10,13],[4,5,6,7,8,10],[4,5,6,9,10,12]];
G[1083]:=Group([(1,6,12)(3,13,5)(4,11,7)(8,9,10)]);
# Design 1084: autom. group order 3, simple
B[1084]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,9,10,11],[1,2,5,8,10,12],[1,3,6,10,11,12],[1,3,9,10,12,13],[1,4,5,11,12,13],[1,4,6,7,11,13],[1,5,6,8,10,13],[1,6,7,8,9,13],[1,7,8,9,11,12],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,6,8,11,12],[2,4,7,10,12,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,12,13],[3,4,6,8,9,12],[3,4,7,8,10,13],[3,5,6,7,10,11],[3,5,7,8,11,12],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[1084]:=Group([(1,11,12)(3,13,7)(4,8,10)(5,9,6)]);
# Design 1085: autom. group order 3, simple
B[1085]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,7,9,12],[1,5,6,10,11,12],[1,6,8,9,12,13],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,7,9,12,13],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,9,10,11],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,9,10,12],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[1085]:=Group([(1,10,11)(2,13,3)(5,6,12)(7,8,9)]);
# Design 1086: autom. group order 3, simple, derived
B[1086]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,9,11,13],[1,3,6,10,12,13],[1,3,7,8,12,13],[1,4,5,8,10,13],[1,4,6,9,10,12],[1,5,6,7,8,11],[1,6,7,9,11,13],[1,8,9,10,11,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,10,11,12],[2,6,7,8,9,10],[3,4,5,9,11,12],[3,4,6,7,10,11],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,7,9,13],[4,5,7,10,12,13]];
G[1086]:=Group([(1,6,13)(2,8,4)(3,12,10)(7,9,11)]);
# Design 1087: autom. group order 3, simple
B[1087]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,9,10,11],[1,5,6,8,11,13],[1,6,7,9,11,12],[1,7,8,9,10,13],[2,3,6,8,9,12],[2,3,9,11,12,13],[2,4,6,10,12,13],[2,4,7,8,11,13],[2,5,6,7,10,13],[2,5,8,10,11,12],[2,6,7,8,9,10],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,8,9,10,11],[3,5,6,7,8,11],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,8,9,12,13]];
G[1087]:=Group([(1,6,12)(2,10,5)(3,13,8)(7,11,9)]);
# Design 1088: autom. group order 3, simple, derived
B[1088]:=[[1,2,3,4,5,6],[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],[1,3,9,10,11,13],[1,4,5,9,12,13],[1,4,6,8,9,10],[1,5,6,7,10,11],[1,6,7,9,11,12],[1,7,8,10,12,13],[2,3,6,7,10,12],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,10,11,12,13],[2,5,6,9,12,13],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,7,8,9,12],[4,5,6,8,10,12],[4,5,7,8,9,11]];
G[1088]:=Group([(1,4,11)(2,12,7)(3,10,6)(8,13,9)]);
# Design 1089: autom. group order 3, simple, derived
B[1089]:=[[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],[1,3,7,10,11,13],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,6,8,11,12],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,6,8,10,13],[2,3,9,10,11,12],[2,4,6,8,9,12],[2,4,7,9,11,13],[2,5,6,7,9,13],[2,5,8,10,12,13],[2,6,7,10,11,12],[3,4,5,9,11,12],[3,4,6,8,10,11],[3,4,7,8,12,13],[3,5,6,7,12,13],[3,5,8,9,11,13],[4,5,6,7,10,11],[4,5,7,8,9,10]];
G[1089]:=Group([(1,3,11)(2,9,8)(4,12,6)(7,10,13)]);
# Design 1090: autom. group order 3, simple
B[1090]:=[[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],[1,3,6,9,10,13],[1,3,8,9,11,12],[1,4,5,8,9,13],[1,4,6,8,10,11],[1,5,6,7,12,13],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,6,7,9,11],[2,3,10,11,12,13],[2,4,6,7,10,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,8,9,13],[2,6,8,9,12,13],[3,4,5,10,12,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,5,6,8,11,13],[3,5,7,8,10,12],[4,5,6,9,11,12],[4,5,7,9,10,11]];
G[1090]:=Group([(1,3,12)(2,10,7)(4,13,6)(8,11,9)]);
# Design 1091: autom. group order 3, simple, derived
B[1091]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,9,11,13],[1,5,8,10,11,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,8,11,12],[2,3,6,10,11,13],[2,4,6,8,10,13],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,5,7,11,12],[3,4,7,8,9,10],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,8,9,11,13],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[1091]:=Group([(1,7,9)(2,13,3)(4,12,8)(6,10,11)]);
# Design 1092: autom. group order 3, simple, derived
B[1092]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,6,9,11,12],[2,4,6,8,9,13],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[1092]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1093: autom. group order 3, simple
B[1093]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,7,9,13],[1,4,6,8,12,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,10,13],[2,3,6,8,9,11],[2,3,6,10,12,13],[2,4,6,7,10,13],[2,4,7,8,10,11],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,7,9,11,12,13],[3,4,5,10,11,13],[3,4,7,9,10,12],[3,4,8,9,12,13],[3,5,6,7,9,12],[3,5,7,8,11,13],[4,5,6,8,9,11],[4,5,6,10,11,12]];
G[1093]:=Group([(1,9,13)(2,12,11)(4,7,5)(6,10,8)]);
# Design 1094: autom. group order 3, simple
B[1094]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,8,9,13],[2,4,6,10,11,12],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,11],[3,4,9,10,11,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,6,7,9,12],[4,5,7,8,10,13]];
G[1094]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1095: autom. group order 3, simple, derived
B[1095]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,6,8,9,13],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,7,8,10,13],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,7,9,11],[3,5,6,8,11,13],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[1095]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1096: autom. group order 3, simple
B[1096]:=[[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],[1,3,7,8,12,13],[1,4,5,8,10,13],[1,4,6,9,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,9,10,11],[2,4,6,7,10,12],[2,4,6,8,9,13],[2,5,6,8,11,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,5,7,9,13],[3,4,8,10,11,12],[3,4,9,11,12,13],[3,5,6,7,11,13],[3,5,6,8,10,12],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[1096]:=Group([(1,2,10)(3,9,5)(4,7,13)(6,11,12)]);
# Design 1097: autom. group order 3, simple, derived
B[1097]:=[[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],[1,3,6,7,11,12],[1,3,7,9,12,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,11,12],[2,3,7,8,10,13],[2,4,6,7,10,13],[2,4,6,9,12,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,7,9,10,11,12],[3,4,5,8,10,12],[3,4,8,9,11,13],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,5,6,9,10,11],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[1097]:=Group([(1,5,10)(2,3,9)(4,6,11)(8,13,12)]);
# Design 1098: autom. group order 3, simple, derived
B[1098]:=[[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],[1,3,6,7,11,12],[1,3,7,8,9,12],[1,4,5,7,11,13],[1,4,6,9,12,13],[1,5,8,10,12,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,6,7,10,13],[2,4,6,8,9,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[2,7,9,10,11,12],[3,4,5,8,10,12],[3,4,8,10,11,13],[3,4,9,11,12,13],[3,5,6,7,9,13],[3,5,6,9,10,11],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[1098]:=Group([(1,5,10)(2,3,9)(4,6,11)(8,13,12)]);
# Design 1099: autom. group order 3, simple
B[1099]:=[[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],[1,3,6,7,11,12],[1,3,8,9,12,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,8,10,12],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,6,7,8,10],[2,4,6,9,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,8,9,10,11,12],[3,4,5,7,9,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,8,10,13],[3,5,6,9,10,11],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[1099]:=Group([(1,5,9)(2,3,10)(4,6,11)(7,13,12)]);
# Design 1100: autom. group order 3, simple, derived
B[1100]:=[[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],[1,3,6,11,12,13],[1,3,7,9,12,13],[1,4,5,8,11,12],[1,4,6,7,10,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[1,6,8,9,10,13],[2,3,6,7,11,13],[2,3,7,8,10,12],[2,4,6,8,9,13],[2,4,6,10,12,13],[2,5,6,7,8,11],[2,5,8,9,12,13],[2,7,9,10,11,12],[3,4,5,7,9,13],[3,4,8,9,11,12],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,6,9,10,11],[4,5,6,7,9,12],[4,5,7,10,11,13]];
G[1100]:=Group([(1,5,9)(2,3,10)(4,6,11)(7,8,12)]);
# Design 1101: autom. group order 3, simple
B[1101]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,8,11,12],[1,3,7,9,10,12],[1,4,5,9,12,13],[1,4,6,10,12,13],[1,5,8,9,10,11],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,6,7,9,11],[2,4,8,10,12,13],[2,5,6,7,9,13],[2,5,6,10,11,12],[2,7,8,9,10,12],[3,4,5,7,10,13],[3,4,6,9,10,11],[3,4,8,9,11,13],[3,5,6,7,8,12],[3,5,7,11,12,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[1101]:=Group([(1,3,13)(2,11,6)(4,9,7)(5,12,10)]);
# Design 1102: autom. group order 3, simple
B[1102]:=[[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],[1,3,6,7,12,13],[1,3,8,9,11,12],[1,4,5,10,11,13],[1,4,6,9,10,12],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,6,8,9,13],[2,3,8,10,11,13],[2,4,6,9,12,13],[2,4,7,8,10,12],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,7,9,10,11,12],[3,4,5,8,10,12],[3,4,6,7,10,11],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,9,10,12,13],[4,5,6,8,9,11],[4,5,7,8,9,13]];
G[1102]:=Group([(1,3,11)(2,7,13)(5,6,10)(8,9,12)]);
# Design 1103: autom. group order 3, simple
B[1103]:=[[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],[1,3,8,9,11,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,7,9,12,13],[1,6,7,8,10,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,6,9,11,13],[2,7,8,9,10,11],[3,4,5,8,10,13],[3,4,6,7,10,11],[3,4,7,9,11,12],[3,5,6,7,11,13],[3,5,8,9,10,12],[4,5,6,8,9,11],[4,5,7,8,12,13]];
G[1103]:=Group([(1,3,11)(2,7,12)(5,6,10)(8,9,13)]);
# Design 1104: autom. group order 3, simple, derived
B[1104]:=[[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],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,6,9,10,11],[1,5,9,10,12,13],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,9,10,11],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,8,9,12],[2,5,6,8,11,13],[2,7,8,9,10,13],[3,4,5,7,9,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,8,10,11],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[1104]:=Group([(1,2,10)(3,9,5)(4,7,13)(6,11,12)]);
# Design 1105: autom. group order 3, simple
B[1105]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,6,8,9,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,7,9,10,13]];
G[1105]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1106: autom. group order 3, simple, derived
B[1106]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,6,8,9,13],[2,4,8,10,12,13],[2,5,6,7,9,12],[2,5,6,10,11,12],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,6,9,11,12],[3,4,7,9,10,11],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,8,11],[4,5,7,9,10,13]];
G[1106]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1107: autom. group order 3, simple, derived
B[1107]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,9,11,12],[2,3,8,10,11,13],[2,4,6,8,9,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,6,10,12,13],[2,7,8,10,11,12],[3,4,5,10,12,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,7,8,9,13],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[1107]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1108: autom. group order 3, simple
B[1108]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,7,8,10,13],[1,4,5,10,12,13],[1,4,6,8,10,12],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,6,7,9,13],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,7,9,10,12,13],[3,4,5,7,11,12],[3,4,6,7,12,13],[3,4,8,9,10,11],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,6,8,9,13],[4,5,7,9,10,11]];
G[1108]:=Group([(1,2,11)(3,8,6)(4,12,9)(5,13,7)]);
# Design 1109: autom. group order 3, simple
B[1109]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,6,7,9,13],[1,3,8,9,11,13],[1,4,5,8,10,12],[1,4,6,11,12,13],[1,5,7,8,12,13],[1,6,7,8,9,10],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,6,8,10,13],[2,4,7,9,11,13],[2,5,6,7,8,11],[2,5,6,7,9,12],[2,8,9,10,12,13],[3,4,5,7,12,13],[3,4,6,9,10,12],[3,4,7,8,10,11],[3,5,6,10,11,13],[3,5,8,9,11,12],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[1109]:=Group([(1,7,11)(2,13,8)(3,4,9)(6,10,12)]);
# Design 1110: autom. group order 3, simple
B[1110]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,5,8,10,13],[1,3,6,10,11,13],[1,3,7,11,12,13],[1,4,5,9,11,12],[1,4,6,9,10,12],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,7,8,12,13],[2,3,6,8,9,12],[2,3,9,10,12,13],[2,4,6,8,11,13],[2,4,7,9,11,13],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,6,10,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,6,7,9,13],[4,5,7,8,10,12]];
G[1110]:=Group([(1,3,12)(2,9,4)(5,8,10)(7,13,11)]);
# Design 1111: autom. group order 3, simple
B[1111]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,10,11,12],[1,5,8,9,10,12],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,5,6,10,13],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,8,11,12],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[1111]:=Group([(1,4,10)(2,7,9)(3,8,5)(6,11,12)]);
# Design 1112: autom. group order 3, simple, derived
B[1112]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,6,10,11,12],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,9,10,12],[2,6,7,8,9,11],[3,4,5,6,9,13],[3,4,7,8,9,11],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,5,7,8,10,13]];
G[1112]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1113: autom. group order 3, simple, derived
B[1113]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,10,13],[2,6,7,8,9,11],[3,4,5,6,9,13],[3,4,7,8,9,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[1113]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1114: autom. group order 3, simple
B[1114]:=[[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],[1,3,6,8,10,11],[1,3,7,11,12,13],[1,4,5,8,10,12],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,6,9,11,12],[2,4,7,8,10,12],[2,5,6,7,8,13],[2,5,7,10,11,13],[2,6,8,9,10,11],[3,4,5,6,11,13],[3,4,7,8,9,11],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,8,10,11,13]];
G[1114]:=Group([(1,7,10)(2,4,9)(5,8,13)(6,11,12)]);
# Design 1115: autom. group order 3, simple, derived
B[1115]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,6,7,10,13],[2,3,8,9,11,13],[2,4,7,9,10,12],[2,4,8,10,12,13],[2,5,6,8,12,13],[2,5,6,10,11,12],[2,6,7,8,9,11],[3,4,5,6,9,13],[3,4,6,9,11,12],[3,4,8,10,11,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,5,7,9,10,13]];
G[1115]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1116: autom. group order 3, simple
B[1116]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,7,8,9],[1,5,8,10,11,13],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,8,9,12,13],[2,4,7,10,11,13],[2,4,9,10,12,13],[2,5,6,7,9,10],[2,5,6,8,10,12],[2,6,7,8,11,12],[3,4,5,6,11,12],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,7,8,9,13],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,10,12]];
G[1116]:=Group([(1,3,13)(2,8,5)(4,9,11)(6,12,10)]);
# Design 1117: autom. group order 3, simple, derived
B[1117]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,8,10,11],[1,4,6,7,12,13],[1,5,8,9,12,13],[1,6,7,8,9,10],[1,6,9,10,11,13],[2,3,8,9,12,13],[2,3,8,10,11,13],[2,4,6,10,11,12],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,6,10,12,13],[2,6,7,8,9,11],[3,4,5,6,9,13],[3,4,6,8,11,13],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,5,7,10,11,12],[4,5,7,8,10,13],[4,5,8,9,11,12]];
G[1117]:=Group([(2,10,13)(3,6,7)(4,8,12)(5,9,11)]);
# Design 1118: autom. group order 3, simple, derived
B[1118]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,9,11,13],[1,3,8,10,12,13],[1,4,5,7,8,12],[1,4,6,10,12,13],[1,5,8,9,10,13],[1,6,7,8,9,11],[1,6,7,10,11,12],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,6,7,10,13],[2,4,8,10,11,13],[2,5,6,8,11,12],[2,5,6,9,12,13],[2,6,7,8,9,10],[3,4,5,6,10,11],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,8,13],[3,5,7,10,11,12],[4,5,7,9,12,13],[4,5,8,9,10,11]];
G[1118]:=Group([(1,2,11)(3,8,6)(4,12,9)(5,13,7)]);
# Design 1119: autom. group order 3, simple, derived
B[1119]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,7,8,9,11],[1,3,9,10,12,13],[1,4,5,6,8,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,7,12,13],[2,3,6,10,11,13],[2,4,6,9,10,11],[2,4,8,9,11,13],[2,5,7,8,9,10],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,5,8,10,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,6,7,9,13],[4,5,7,10,11,12]];
G[1119]:=Group([(1,2,9)(3,5,10)(4,8,12)(6,7,13)]);
# Design 1120: autom. group order 3, simple, derived
B[1120]:=[[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],[1,3,7,8,10,12],[1,3,8,11,12,13],[1,4,5,6,12,13],[1,4,6,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,7,8,11],[2,4,8,9,10,13],[2,5,7,10,12,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,7,10,13],[3,4,7,9,11,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[1120]:=Group([(2,10,13)(3,6,11)(4,9,8)(5,7,12)]);
# Design 1121: autom. group order 3, simple, derived
B[1121]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,8,9,10],[1,3,8,11,12,13],[1,4,5,6,10,12],[1,4,6,7,12,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[1,6,9,10,11,13],[2,3,6,8,11,12],[2,3,6,9,12,13],[2,4,7,10,11,13],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,6,7,10,11],[3,5,7,9,12,13],[4,5,6,8,9,11],[4,5,7,8,9,12]];
G[1121]:=Group([(1,9,12)(2,4,11)(3,5,8)(7,13,10)]);
# Design 1122: autom. group order 3, simple, derived
B[1122]:=[[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],[1,3,7,8,10,12],[1,3,8,11,12,13],[1,4,5,6,12,13],[1,4,6,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,5,7,10,13],[3,4,6,8,9,11],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,9,10,12,13],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[1122]:=Group([(2,10,13)(3,6,11)(4,9,8)(5,7,12)]);
# Design 1123: autom. group order 3, simple, derived
B[1123]:=[[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],[1,3,7,8,10,12],[1,3,8,11,12,13],[1,4,5,6,12,13],[1,4,6,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,6,7,8,11],[2,4,8,9,10,13],[2,5,6,8,10,12],[2,5,7,10,12,13],[2,6,8,9,11,12],[3,4,5,8,10,11],[3,4,6,7,9,13],[3,4,9,10,11,12],[3,5,6,7,11,12],[3,5,6,8,9,13],[4,5,7,8,9,12],[4,5,7,10,11,13]];
G[1123]:=Group([(2,10,13)(3,6,11)(4,9,8)(5,7,12)]);
# Design 1124: autom. group order 3, simple
B[1124]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,7,9,11,13],[1,3,8,10,12,13],[1,4,5,6,8,12],[1,4,6,10,11,13],[1,5,8,9,10,13],[1,6,7,8,11,12],[1,6,7,9,10,12],[2,3,6,10,12,13],[2,3,8,9,11,12],[2,4,6,8,9,13],[2,4,7,10,12,13],[2,5,6,7,10,11],[2,5,7,8,12,13],[2,6,8,9,10,11],[3,4,5,10,11,12],[3,4,6,7,9,13],[3,4,7,8,10,11],[3,5,6,7,9,12],[3,5,6,8,11,13],[4,5,7,8,9,10],[4,5,9,11,12,13]];
G[1124]:=Group([(1,4,10)(2,7,9)(3,8,5)(6,11,13)]);
# Design 1125: autom. group order 3, simple, derived
B[1125]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,8,13],[1,3,7,10,11,12],[1,3,8,10,11,13],[1,4,5,6,11,13],[1,4,6,10,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,7,9,11,13],[2,4,8,10,11,12],[2,5,6,7,11,12],[2,5,6,8,10,12],[2,6,7,9,10,13],[3,4,5,9,12,13],[3,4,6,7,8,12],[3,4,6,7,9,10],[3,5,6,8,9,11],[3,5,7,11,12,13],[4,5,7,8,10,13],[4,5,8,9,10,11]];
G[1125]:=Group([(1,8,12)(2,10,7)(3,4,11)(6,9,13)]);
# Design 1126: autom. group order 3, simple, derived
B[1126]:=[[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],[1,3,7,8,10,12],[1,3,8,11,12,13],[1,4,5,6,12,13],[1,4,6,9,10,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,7,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,8,9,11,12],[3,4,5,8,10,11],[3,4,6,7,9,13],[3,4,6,8,9,11],[3,5,6,7,11,12],[3,5,9,10,12,13],[4,5,7,8,9,12],[4,5,7,10,11,13]];
G[1126]:=Group([(2,10,13)(3,6,11)(4,9,8)(5,7,12)]);
# Design 1127: autom. group order 3, simple
B[1127]:=[[1,2,3,4,5,6],[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],[1,3,8,11,12,13],[1,4,5,10,11,12],[1,4,6,8,9,13],[1,5,6,7,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,6,9,12,13],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,7,8,12,13],[2,7,9,10,11,13],[3,4,5,8,10,13],[3,4,6,7,9,11],[3,4,10,11,12,13],[3,5,6,9,11,12],[3,5,7,8,9,12],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[1127]:=Group([(1,5,8)(2,7,6)(3,12,10)(4,13,11)]);
# Design 1128: autom. group order 3, simple
B[1128]:=[[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],[1,3,7,10,11,12],[1,3,9,11,12,13],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,6,7,8,13],[1,6,7,9,10,12],[1,6,8,9,10,13],[2,3,6,7,9,13],[2,3,6,11,12,13],[2,4,6,10,11,13],[2,4,8,9,10,12],[2,5,7,10,12,13],[2,5,8,9,11,12],[2,6,7,8,10,11],[3,4,5,6,10,12],[3,4,7,8,12,13],[3,4,8,9,10,13],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,7,9,12],[4,5,7,9,11,13]];
G[1128]:=Group([(1,6,12)(3,13,5)(4,11,8)(7,10,9)]);
# Design 1129: autom. group order 3, simple
B[1129]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,8,11,12,13],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,5,6,7,8,9],[1,6,7,8,12,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,6,8,9,12],[2,4,6,7,10,12],[2,4,8,9,11,13],[2,5,7,10,12,13],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,5,6,12,13],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,9,11,13],[4,5,7,8,9,12]];
G[1129]:=Group([(1,4,10)(2,7,9)(5,8,13)(6,11,12)]);
# Design 1130: autom. group order 3, simple
B[1130]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,7,8,9,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,6,10,12,13],[1,5,6,7,8,12],[1,6,7,9,11,13],[1,6,8,9,10,11],[2,3,6,8,9,12],[2,3,7,11,12,13],[2,4,6,7,9,10],[2,4,6,8,11,13],[2,5,6,7,11,12],[2,5,7,8,10,13],[2,8,9,10,12,13],[3,4,5,9,11,13],[3,4,6,7,10,13],[3,4,8,10,11,12],[3,5,6,8,10,11],[3,5,6,9,12,13],[4,5,7,8,9,11],[4,5,7,9,10,12]];
G[1130]:=Group([(1,9,12)(2,4,11)(3,5,7)(6,8,13)]);
# Design 1131: autom. group order 3, simple
B[1131]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,10,11,13],[1,3,7,11,12,13],[1,3,8,9,10,12],[1,4,5,7,8,11],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,8,10,13],[2,3,7,9,12,13],[2,4,6,7,9,13],[2,4,6,10,11,12],[2,5,6,7,8,12],[2,5,8,11,12,13],[2,7,8,9,10,11],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,6,9,11,12],[4,5,7,9,10,12],[4,5,8,9,10,13]];
G[1131]:=Group([(1,5,12)(2,8,10)(3,13,6)(7,9,11)]);
# Design 1132: autom. group order 3, simple, derived
B[1132]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,12],[1,4,7,9,12,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,8,11,12],[2,3,7,9,10,13],[2,4,6,8,10,13],[2,4,8,9,10,12],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,10,11,13],[3,4,5,7,12,13],[3,4,5,9,10,11],[3,4,10,11,12,13],[3,5,6,8,12,13],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[1132]:=Group([(1,12,13)(3,8,10)(4,9,7)(5,11,6)]);
# Design 1133: autom. group order 3, simple, derived
B[1133]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,8,11,13],[1,3,6,9,10,12],[1,4,7,9,12,13],[1,4,8,9,10,13],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,10,11,12],[2,3,7,8,9,12],[2,3,7,10,11,13],[2,4,6,8,10,13],[2,4,8,9,11,12],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,9,10,13],[3,4,5,7,12,13],[3,4,5,9,10,11],[3,4,10,11,12,13],[3,5,6,8,12,13],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[1133]:=Group([(1,2,12)(3,8,10)(4,11,6)(5,9,7)]);
# Design 1134: autom. group order 3, simple
B[1134]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,9,10,13],[1,4,8,9,12,13],[1,5,7,8,10,12],[1,5,8,9,10,11],[1,6,7,10,11,13],[2,3,6,8,10,13],[2,3,9,10,12,13],[2,4,7,8,9,11],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,7,9,11,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,5,11,12,13],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,6,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[1134]:=Group([(1,7,10)(3,4,9)(5,8,12)(6,11,13)]);
# Design 1135: autom. group order 3, simple
B[1135]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,8,10,13],[1,4,9,10,11,13],[1,5,7,8,10,12],[1,5,8,9,10,11],[1,6,7,9,12,13],[2,3,6,8,10,13],[2,3,9,10,12,13],[2,4,7,8,9,11],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,7,8,11,13],[2,6,8,10,11,12],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,6,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[1135]:=Group([(2,7,10)(3,8,5)(4,12,9)(6,13,11)]);
# Design 1136: autom. group order 3, simple
B[1136]:=[[1,2,3,4,5,6],[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],[1,3,7,8,11,13],[1,4,6,8,10,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,8,9,10,12],[1,6,7,9,11,12],[2,3,6,8,10,12],[2,3,9,10,11,13],[2,4,7,8,9,12],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,8,10,11,13],[3,4,5,8,9,11],[3,4,5,11,12,13],[3,4,7,10,12,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,13]];
G[1136]:=Group([(1,2,7)(3,4,8)(5,9,11)(6,12,13)]);
# Design 1137: autom. group order 3, simple
B[1137]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,7,10,12,13],[1,5,7,8,10,12],[1,5,8,9,11,12],[1,6,7,9,10,11],[2,3,7,10,11,13],[2,3,9,10,11,12],[2,4,7,8,9,13],[2,4,8,9,10,12],[2,5,6,8,9,13],[2,5,6,10,12,13],[2,6,7,8,11,12],[3,4,5,7,9,12],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,5,6,7,8,10],[3,6,7,9,12,13],[4,5,6,7,9,11],[4,5,8,10,11,13]];
G[1137]:=Group([(1,8,10)(3,4,9)(5,7,12)(6,13,11)]);
# Design 1138: autom. group order 3, simple, derived
B[1138]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,9,11,13],[1,3,6,7,11,12],[1,3,8,10,12,13],[1,4,6,8,9,13],[1,4,7,9,10,12],[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],[2,4,7,10,12,13],[2,4,8,9,10,11],[2,5,6,7,8,10],[2,5,6,8,12,13],[2,6,7,9,12,13],[3,4,5,7,8,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,5,6,9,10,12],[3,6,7,8,9,11],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[1138]:=Group([(1,2,13)(3,7,10)(4,12,8)(5,9,11)]);
# Design 1139: autom. group order 3, simple, derived
B[1139]:=[[1,2,3,4,5,6],[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],[1,3,9,10,12,13],[1,4,7,8,10,11],[1,4,8,9,10,12],[1,5,6,9,11,12],[1,5,8,10,11,13],[1,6,7,8,12,13],[2,3,6,8,10,13],[2,3,8,11,12,13],[2,4,7,9,12,13],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,7,10,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,5,7,8,9,11],[3,6,7,10,11,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[1139]:=Group([(2,8,9)(3,4,10)(5,7,12)(6,11,13)]);
# Design 1140: autom. group order 3, simple
B[1140]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,8,9,10,13],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,7,8,9,11],[2,4,7,9,10,12],[2,5,6,8,10,13],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,5,7,10,11],[3,4,5,9,12,13],[3,4,6,8,11,13],[3,5,8,9,11,12],[3,6,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[1140]:=Group([(1,2,7)(3,4,8)(5,9,12)(6,11,13)]);
# Design 1141: autom. group order 3, simple, derived
B[1141]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,8,9,10,13],[1,4,8,10,11,12],[1,5,6,7,12,13],[1,5,7,10,11,12],[1,6,8,9,11,13],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,7,9,12,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,8,9,12],[3,4,5,7,8,11],[3,4,5,9,12,13],[3,4,6,9,11,12],[3,5,8,11,12,13],[3,6,7,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,10]];
G[1141]:=Group([(2,12,13)(3,10,8)(4,7,9)(5,11,6)]);
# Design 1142: autom. group order 3, simple, derived
B[1142]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,7,8,9,11],[2,4,7,9,10,12],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,12,13],[3,4,5,8,9,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,5,7,9,10,11],[3,6,8,9,11,12],[4,5,6,7,10,13],[4,5,6,8,9,13]];
G[1142]:=Group([(1,2,7)(3,4,8)(5,9,12)(6,11,13)]);
# Design 1143: autom. group order 3, simple
B[1143]:=[[1,2,3,4,5,6],[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],[1,4,8,9,11,12],[1,4,9,10,11,13],[1,5,6,8,10,13],[1,5,7,8,12,13],[1,6,7,8,9,10],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,6,7,9,13],[2,4,7,8,10,12],[2,5,6,8,9,12],[2,5,7,9,10,11],[2,6,10,11,12,13],[3,4,5,8,11,13],[3,4,5,9,10,12],[3,4,6,7,10,13],[3,5,6,7,11,12],[3,6,7,8,9,11],[4,5,6,8,10,11],[4,5,7,9,12,13]];
G[1143]:=Group([(1,3,13)(2,8,5)(4,11,7)(6,9,12)]);
# Design 1144: autom. group order 3, simple, derived
B[1144]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,5,7,11,13],[1,3,6,9,11,12],[1,3,8,9,12,13],[1,4,7,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,7,8,11,12],[2,3,7,9,10,13],[2,4,6,8,9,13],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,8,10,11,12],[2,6,7,9,11,13],[3,4,5,7,12,13],[3,4,5,9,10,11],[3,4,6,10,11,13],[3,5,6,8,12,13],[3,6,7,8,10,11],[4,5,6,7,8,9],[4,5,7,9,11,12]];
G[1144]:=Group([(1,12,13)(3,8,9)(4,10,7)(5,11,6)]);
# Design 1145: autom. group order 3, simple, derived
B[1145]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,7,9,10,12],[1,4,8,9,11,13],[1,5,6,8,9,10],[1,5,7,10,12,13],[1,6,7,8,10,11],[2,3,7,8,9,13],[2,3,8,10,11,12],[2,4,6,7,10,13],[2,4,9,10,11,13],[2,5,6,9,11,12],[2,5,7,8,9,12],[2,6,8,10,12,13],[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[1145]:=Group([(1,6,9)(2,7,13)(3,11,4)(5,10,8)]);
# Design 1146: autom. group order 3, simple
B[1146]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,13],[1,4,7,8,9,13],[1,4,8,9,10,12],[1,5,6,7,8,13],[1,5,7,10,11,12],[1,6,8,9,11,12],[2,3,7,8,11,12],[2,3,8,9,11,13],[2,4,6,7,10,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,5,7,9,12],[3,4,5,11,12,13],[3,4,6,8,10,11],[3,5,6,8,9,10],[3,6,7,9,12,13],[4,5,6,7,9,11],[4,5,8,10,11,13]];
G[1146]:=Group([(1,2,8)(3,7,4)(5,12,9)(6,11,13)]);
# Design 1147: autom. group order 3, simple, derived
B[1147]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,7,8,12,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,5,7,9,10],[3,4,5,8,11,12],[3,4,7,10,12,13],[3,5,9,11,12,13],[3,6,7,8,9,11],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[1147]:=Group([(1,12,13)(3,6,10)(4,7,11)(5,9,8)]);
# Design 1148: autom. group order 3, simple
B[1148]:=[[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],[1,3,6,8,12,13],[1,4,6,7,10,13],[1,4,6,9,10,12],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,7,9,10,11,12],[2,3,6,7,10,11],[2,3,9,10,12,13],[2,4,7,8,9,11],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,12,13],[3,4,5,7,9,13],[3,4,5,11,12,13],[3,4,8,10,11,12],[3,5,7,8,10,12],[3,6,7,9,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[1148]:=Group([(1,8,10)(3,4,9)(5,7,13)(6,11,12)]);
# Design 1149: autom. group order 3, simple
B[1149]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,8,11,12],[1,3,6,9,10,11],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,7,10,13],[1,5,8,11,12,13],[1,7,8,9,10,12],[2,3,7,10,11,13],[2,3,8,10,12,13],[2,4,6,8,10,12],[2,4,6,9,11,13],[2,5,6,10,11,12],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,5,7,9,12],[3,4,5,8,11,13],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,6,7,8,9,11],[4,5,6,7,8,10],[4,5,8,9,10,11]];
G[1149]:=Group([(1,8,9)(2,5,13)(3,11,6)(7,10,12)]);
# Design 1150: autom. group order 3, simple
B[1150]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,10,13],[1,3,6,7,8,11],[1,3,6,10,11,12],[1,4,6,10,12,13],[1,4,8,9,11,13],[1,5,6,8,9,13],[1,5,7,11,12,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,3,8,11,12,13],[2,4,6,7,9,12],[2,4,6,10,11,13],[2,5,6,8,9,11],[2,5,8,10,11,12],[2,6,7,8,10,13],[3,4,5,7,11,13],[3,4,5,8,10,12],[3,4,8,9,10,13],[3,5,6,9,12,13],[3,6,7,9,10,11],[4,5,6,7,8,12],[4,5,7,9,10,11]];
G[1150]:=Group([(1,7,10)(2,5,13)(3,11,6)(8,9,12)]);
# Design 1151: autom. group order 3, simple
B[1151]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,6,7,10,12],[1,4,9,10,12,13],[1,5,6,7,8,10],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,6,8,9,11],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,8,9,10,13],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,7,8,11,13],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,6,10,11,13],[4,5,7,8,9,12]];
G[1151]:=Group([(1,3,12)(2,10,4)(5,11,9)(6,8,13)]);
# Design 1152: autom. group order 3, simple
B[1152]:=[[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],[1,3,6,7,9,12],[1,3,6,11,12,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,6,8,10,13],[2,3,8,10,11,12],[2,4,6,9,12,13],[2,4,7,10,12,13],[2,5,6,7,11,13],[2,5,6,9,10,11],[2,7,8,9,11,12],[3,4,5,7,11,13],[3,4,5,8,11,12],[3,4,9,10,11,13],[3,5,7,9,10,12],[3,6,7,8,9,13],[4,5,6,7,8,10],[4,5,6,8,9,12]];
G[1152]:=Group([(2,6,13)(3,12,5)(4,11,8)(7,10,9)]);
# Design 1153: autom. group order 3, simple
B[1153]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,6,9,10,12],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,5,7,9,10,11],[1,6,7,10,12,13],[2,3,6,7,10,11],[2,3,9,10,12,13],[2,4,6,10,11,13],[2,4,8,9,10,13],[2,5,6,7,8,13],[2,5,6,8,9,12],[2,7,8,9,11,12],[3,4,5,7,9,13],[3,4,5,11,12,13],[3,4,7,8,10,12],[3,5,8,10,11,12],[3,6,7,9,11,13],[4,5,6,7,9,12],[4,5,6,8,10,11]];
G[1153]:=Group([(1,2,10)(3,9,5)(4,13,7)(6,12,11)]);
# Design 1154: autom. group order 3, simple
B[1154]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,10,11,13],[1,4,7,8,9,12],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,8,9,10,11],[2,3,6,8,9,13],[2,3,8,11,12,13],[2,4,6,7,8,10],[2,4,9,10,12,13],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,7,9,11,13],[3,4,5,8,11,13],[3,4,5,9,10,11],[3,4,7,10,12,13],[3,5,6,7,9,12],[3,7,8,9,10,11],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[1154]:=Group([(1,3,13)(2,8,5)(4,11,7)(6,12,10)]);
# Design 1155: autom. group order 3, simple
B[1155]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,8,11,12,13],[2,4,6,7,8,10],[2,4,7,9,12,13],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,9,10,11,13],[3,4,5,8,11,13],[3,4,5,9,10,12],[3,4,7,10,12,13],[3,5,6,7,9,11],[3,7,8,9,10,11],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[1155]:=Group([(1,3,13)(2,8,5)(4,11,7)(6,12,10)]);
# Design 1156: autom. group order 3, simple
B[1156]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,8,9,13],[2,3,8,11,12,13],[2,4,6,7,8,10],[2,4,9,10,11,13],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,7,9,12,13],[3,4,5,7,9,12],[3,4,5,8,11,13],[3,4,7,10,12,13],[3,5,6,9,10,11],[3,7,8,9,10,11],[4,5,6,7,9,13],[4,5,6,8,11,12]];
G[1156]:=Group([(1,3,13)(2,8,5)(4,11,7)(6,12,10)]);
# Design 1157: autom. group order 3, simple
B[1157]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,13],[1,3,6,7,10,11],[1,3,6,10,12,13],[1,4,6,8,9,11],[1,4,10,11,12,13],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[2,3,6,8,9,13],[2,3,8,11,12,13],[2,4,7,8,10,12],[2,4,7,9,10,13],[2,5,6,7,11,12],[2,5,6,8,10,12],[2,6,9,10,11,13],[3,4,5,8,11,13],[3,4,5,9,10,12],[3,4,6,7,12,13],[3,5,7,9,11,12],[3,7,8,9,10,11],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[1157]:=Group([(1,3,13)(2,8,5)(4,11,7)(6,12,10)]);
# Design 1158: autom. group order 3, simple
B[1158]:=[[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],[1,3,6,8,9,12],[1,3,6,10,11,12],[1,4,6,7,10,13],[1,4,8,9,10,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,11,12],[2,3,6,7,10,13],[2,3,9,11,12,13],[2,4,7,10,11,12],[2,4,8,9,10,12],[2,5,6,8,10,11],[2,5,6,8,12,13],[2,6,7,8,9,13],[3,4,5,7,8,12],[3,4,5,8,11,13],[3,4,6,9,11,13],[3,5,7,10,12,13],[3,7,8,9,10,11],[4,5,6,7,9,11],[4,5,6,9,10,12]];
G[1158]:=Group([(1,6,12)(3,8,11)(4,5,13)(7,10,9)]);
# Design 1159: autom. group order 3, simple
B[1159]:=[[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],[1,3,6,7,10,12],[1,3,6,11,12,13],[1,4,6,9,11,12],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,7,11,12,13],[2,3,9,10,11,13],[2,4,6,8,11,13],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,6,7,8,10,12],[3,4,5,6,10,13],[3,4,5,8,11,12],[3,4,8,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,13],[4,5,6,7,9,13],[4,5,7,10,11,12]];
G[1159]:=Group([(2,6,13)(3,12,5)(4,11,8)(7,9,10)]);
# Design 1160: autom. group order 3, simple, derived
B[1160]:=[[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],[1,3,6,7,10,12],[1,3,6,11,12,13],[1,4,6,9,11,12],[1,4,7,8,10,13],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,7,11,12,13],[2,3,8,10,11,12],[2,4,6,8,11,13],[2,4,9,10,12,13],[2,5,6,7,10,11],[2,5,6,8,9,12],[2,6,7,9,10,13],[3,4,5,6,10,13],[3,4,5,9,11,13],[3,4,8,9,10,12],[3,5,7,8,9,11],[3,6,7,8,9,13],[4,5,6,7,8,12],[4,5,7,10,11,12]];
G[1160]:=Group([(2,6,13)(3,12,5)(4,11,8)(7,9,10)]);
# Design 1161: autom. group order 3, simple, derived
B[1161]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,11,13],[1,3,6,7,11,12],[1,3,6,9,12,13],[1,4,6,8,9,13],[1,4,7,9,10,13],[1,5,7,10,12,13],[1,5,8,10,11,12],[1,6,8,9,10,11],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,6,10,11,13],[2,4,9,10,11,12],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,9,12],[3,4,5,6,10,12],[3,4,5,8,9,11],[3,4,8,10,12,13],[3,5,7,9,11,13],[3,6,7,8,10,11],[4,5,6,7,11,13],[4,5,7,8,9,12]];
G[1161]:=Group([(1,3,11)(2,9,8)(4,13,10)(6,7,12)]);
# Design 1162: autom. group order 3, simple, derived
B[1162]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,12],[1,4,6,8,11,13],[1,4,9,10,12,13],[1,5,7,8,10,11],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,6,9,10,12],[2,4,7,8,10,13],[2,5,6,7,11,12],[2,5,6,8,12,13],[2,6,8,9,10,11],[3,4,5,6,8,10],[3,4,5,11,12,13],[3,4,8,9,11,12],[3,5,7,8,9,12],[3,6,7,10,11,13],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[1162]:=Group([(1,8,13)(2,9,7)(4,11,6)(5,12,10)]);
# Design 1163: autom. group order 3, simple
B[1163]:=[[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],[1,3,6,7,9,12],[1,3,6,11,12,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,7,10,11,13],[2,3,9,11,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,9,10,11],[2,6,8,9,10,12],[3,4,5,6,10,13],[3,4,5,8,11,12],[3,4,8,9,10,12],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,6,7,9,13],[4,5,7,9,11,12]];
G[1163]:=Group([(2,6,13)(3,12,5)(4,11,8)(7,10,9)]);
# Design 1164: autom. group order 3, simple
B[1164]:=[[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],[1,3,6,7,9,12],[1,3,6,11,12,13],[1,4,6,10,11,12],[1,4,8,9,10,13],[1,5,7,10,12,13],[1,5,8,9,11,13],[1,6,7,8,10,11],[2,3,8,10,11,12],[2,3,9,11,12,13],[2,4,6,8,11,13],[2,4,7,10,12,13],[2,5,6,7,8,12],[2,5,6,9,10,11],[2,6,7,9,10,13],[3,4,5,6,10,13],[3,4,5,7,11,13],[3,4,8,9,10,12],[3,5,7,8,10,11],[3,6,7,8,9,13],[4,5,6,8,9,12],[4,5,7,9,11,12]];
G[1164]:=Group([(2,6,13)(3,12,5)(4,11,8)(7,10,9)]);
# Design 1165: autom. group order 3, simple
B[1165]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,11],[1,4,6,8,10,12],[1,4,9,10,12,13],[1,5,7,9,10,13],[1,5,8,11,12,13],[1,6,7,8,10,11],[2,3,7,10,11,12],[2,3,8,10,12,13],[2,4,6,7,10,13],[2,4,8,9,11,13],[2,5,6,8,9,10],[2,5,6,8,12,13],[2,6,7,9,11,12],[3,4,5,6,11,13],[3,4,5,10,11,12],[3,4,7,8,9,13],[3,5,7,8,9,12],[3,6,9,10,11,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[1165]:=Group([(1,3,12)(2,10,4)(5,11,9)(6,7,13)]);
# Design 1166: autom. group order 3, simple, derived
B[1166]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,6,9,12,13],[1,4,8,9,10,11],[1,5,7,10,12,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[2,3,8,10,12,13],[2,3,9,11,12,13],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,7,11,12],[2,5,6,8,9,10],[2,6,7,8,9,12],[3,4,5,6,10,12],[3,4,5,7,9,13],[3,4,7,10,11,12],[3,5,8,9,11,13],[3,6,7,9,10,11],[4,5,6,8,11,13],[4,5,7,8,9,12]];
G[1166]:=Group([(1,3,13)(2,9,7)(4,11,10)(6,8,12)]);
# Design 1167: autom. group order 3, simple
B[1167]:=[[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],[1,3,6,8,9,12],[1,3,6,11,12,13],[1,4,6,10,11,12],[1,4,7,8,10,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,7,8,11,12],[2,3,10,11,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,8,9,10,13],[3,4,5,6,8,13],[3,4,5,9,11,13],[3,4,7,9,10,12],[3,5,7,8,10,11],[3,6,7,9,10,13],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[1167]:=Group([(2,6,13)(3,12,5)(4,11,7)(8,10,9)]);
# Design 1168: autom. group order 3, simple
B[1168]:=[[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],[1,3,6,8,9,12],[1,3,6,11,12,13],[1,4,6,10,11,12],[1,4,7,8,10,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,7,8,9,11],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,7,8,10,12],[3,4,5,6,8,13],[3,4,5,7,11,12],[3,4,7,9,10,12],[3,5,7,8,10,11],[3,6,7,9,10,13],[4,5,6,9,10,13],[4,5,8,9,11,12]];
G[1168]:=Group([(2,6,13)(3,12,5)(4,11,7)(8,10,9)]);
# Design 1169: autom. group order 3, simple
B[1169]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,5,8,10,13],[1,3,6,8,10,11],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,7,9,12,13],[1,5,7,10,12,13],[1,5,8,9,11,12],[1,6,7,9,10,11],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,6,9,10,13],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,6,9,10,12],[2,6,7,8,11,12],[3,4,5,9,11,12],[3,4,5,10,11,13],[3,4,6,7,10,12],[3,5,6,8,12,13],[3,7,8,9,10,13],[4,5,6,7,8,9],[4,5,7,8,10,11]];
G[1169]:=Group([(1,2,11)(3,7,6)(4,12,10)(5,13,9)]);
# Design 1170: autom. group order 3, simple, derived
B[1170]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,13],[1,4,6,9,12,13],[1,4,10,11,12,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,10],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,12,13],[3,7,9,10,11,13],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[1170]:=Group([(1,7,11)(2,12,4)(3,6,10)(8,9,13)]);
# Design 1171: autom. group order 3, simple, derived
B[1171]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,6,7,10,13],[1,4,10,11,12,13],[1,5,7,8,12,13],[1,5,8,9,10,12],[1,6,7,8,9,10],[2,3,7,8,10,11],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,8,9,12,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,6,7,9,11,12],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,8,9,12],[3,5,6,7,12,13],[3,7,9,10,11,13],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[1171]:=Group([(1,7,11)(2,12,4)(3,6,10)(8,9,13)]);
# Design 1172: autom. group order 3, simple, derived
B[1172]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,5,8,9,12,13],[1,6,7,9,10,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,7,8,12,13],[2,4,9,10,11,13],[2,5,6,7,11,12],[2,5,6,8,10,13],[2,6,7,9,10,12],[3,4,5,6,12,13],[3,4,5,7,9,10],[3,4,7,10,12,13],[3,5,9,11,12,13],[3,6,7,8,9,11],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[1172]:=Group([(1,12,13)(3,6,10)(4,7,11)(5,9,8)]);
# Design 1173: autom. group order 3, simple
B[1173]:=[[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],[1,4,6,7,10,13],[1,4,6,9,10,12],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,8,10,11,12],[2,3,6,7,10,11],[2,3,9,10,12,13],[2,4,7,8,9,11],[2,4,8,9,10,13],[2,5,6,8,9,12],[2,5,6,10,11,13],[2,6,7,8,12,13],[3,4,5,6,8,13],[3,4,5,11,12,13],[3,4,8,10,11,12],[3,5,7,8,10,12],[3,6,7,9,11,13],[4,5,6,7,9,12],[4,5,7,9,10,11]];
G[1173]:=Group([(1,8,10)(3,4,9)(5,7,13)(6,11,12)]);
# Design 1174: autom. group order 3, simple
B[1174]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,9,10,11],[1,2,5,8,10,12],[1,3,6,9,11,13],[1,3,7,11,12,13],[1,4,6,8,11,12],[1,4,7,10,12,13],[1,5,6,8,10,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,9,10,12,13],[2,4,6,7,11,13],[2,4,8,9,12,13],[2,5,6,9,11,12],[2,5,7,10,11,13],[2,6,7,8,10,11],[3,4,5,6,10,13],[3,4,5,10,11,12],[3,4,8,9,10,11],[3,5,7,8,11,12],[3,6,7,8,9,10],[4,5,6,7,9,12],[4,5,7,8,9,13]];
G[1174]:=Group([(1,11,12)(3,7,13)(4,6,8)(5,10,9)]);
# Design 1175: autom. group order 3, simple
B[1175]:=[[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],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,8,10,11,13],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,6,8,9,10,12],[2,3,6,8,11,13],[2,3,8,10,11,12],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,6,10,12],[3,4,5,8,9,13],[3,4,9,10,11,13],[3,5,7,11,12,13],[3,6,7,8,9,10],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[1175]:=Group([(1,11,13)(3,12,7)(4,8,10)(5,9,6)]);
# Design 1176: autom. group order 3, simple, derived
B[1176]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,6,9,10,11],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,6,9,12,13],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,8,10,12],[2,6,7,8,9,11],[3,4,5,6,8,10],[3,4,5,11,12,13],[3,4,7,8,9,11],[3,5,8,9,11,12],[3,6,7,10,11,13],[4,5,6,7,9,12],[4,5,7,9,10,13]];
G[1176]:=Group([(1,7,9)(2,13,8)(4,10,12)(5,6,11)]);
# Design 1177: autom. group order 3, simple, derived
B[1177]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,11,12,13],[1,3,6,7,9,13],[1,3,7,8,10,11],[1,4,6,10,11,13],[1,4,8,9,10,12],[1,5,6,8,10,12],[1,5,7,9,12,13],[1,6,8,9,11,13],[2,3,6,9,11,12],[2,3,8,10,12,13],[2,4,6,9,10,11],[2,4,8,9,12,13],[2,5,6,7,8,9],[2,5,7,10,11,13],[2,6,7,8,10,13],[3,4,5,8,11,13],[3,4,5,9,10,13],[3,4,6,7,12,13],[3,5,6,8,11,12],[3,7,9,10,11,12],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[1177]:=Group([(1,2,13)(3,8,6)(4,10,9)(5,12,11)]);
# Design 1178: autom. group order 3, simple, derived
B[1178]:=[[1,2,3,4,5,6],[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],[1,3,7,8,10,11],[1,4,6,8,10,13],[1,4,7,9,12,13],[1,5,6,9,10,12],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,6,9,10,13],[2,3,8,9,11,12],[2,4,6,7,10,11],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,10,12,13],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,5,11,12,13],[3,4,6,10,11,12],[3,5,6,7,8,12],[3,7,9,10,11,13],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[1178]:=Group([(1,3,10)(2,9,5)(4,13,12)(7,11,8)]);
# Design 1179: autom. group order 3, simple
B[1179]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,12],[1,3,6,7,11,13],[1,3,8,10,12,13],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,6,9,10,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[2,3,6,9,10,12],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,8,9,12,13],[2,5,6,8,12,13],[2,5,7,8,10,11],[2,6,7,9,11,13],[3,4,5,7,9,13],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,5,6,7,8,12],[3,7,9,10,11,12],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[1179]:=Group([(1,3,9)(2,10,5)(4,12,13)(7,11,8)]);
# Design 1180: autom. group order 3, simple
B[1180]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,5,7,11,12],[1,3,6,7,8,13],[1,3,8,10,11,12],[1,4,6,8,10,11],[1,4,7,9,10,13],[1,5,6,10,12,13],[1,5,8,9,12,13],[1,6,7,9,11,13],[2,3,6,11,12,13],[2,3,8,9,10,13],[2,4,6,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,5,7,12,13],[3,4,5,9,11,13],[3,4,6,9,10,12],[3,5,6,7,10,11],[3,7,8,9,11,12],[4,5,6,8,9,11],[4,5,7,8,10,12]];
G[1180]:=Group([(1,2,13)(3,10,7)(4,8,9)(5,11,6)]);
# Design 1181: autom. group order 3, simple, derived
B[1181]:=[[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],[1,3,6,9,11,12],[1,3,8,9,11,13],[1,4,6,8,10,12],[1,4,7,10,11,13],[1,5,6,7,11,12],[1,5,8,9,12,13],[1,6,7,8,10,13],[2,3,7,8,10,12],[2,3,8,11,12,13],[2,4,6,8,9,13],[2,4,6,11,12,13],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,7,9,10,11,12],[3,4,5,7,12,13],[3,4,5,10,11,13],[3,4,6,9,10,12],[3,5,6,7,8,11],[3,6,7,9,10,13],[4,5,7,8,9,12],[4,5,8,9,10,11]];
G[1181]:=Group([(1,11,13)(2,5,6)(3,8,9)(4,10,7)]);
# Design 1182: autom. group order 3, simple
B[1182]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,9,10,11],[1,2,5,8,10,12],[1,3,6,8,12,13],[1,3,9,10,12,13],[1,4,6,7,11,13],[1,4,8,9,12,13],[1,5,6,9,11,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,7,11,12,13],[2,3,8,10,11,13],[2,4,6,8,11,12],[2,4,6,9,10,13],[2,5,6,7,12,13],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,6,10,13],[3,4,5,10,11,12],[3,4,7,9,11,12],[3,5,6,8,9,11],[3,6,7,8,9,10],[4,5,7,8,9,13],[4,5,7,8,10,12]];
G[1182]:=Group([(2,11,12)(3,7,13)(4,6,8)(5,10,9)]);
# Design 1183: autom. group order 3, simple
B[1183]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,5,8,9,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,6,9,10,11],[1,4,8,10,12,13],[1,5,6,8,12,13],[1,5,7,9,11,12],[1,6,7,8,9,11],[2,3,8,10,11,12],[2,3,9,11,12,13],[2,4,6,8,11,13],[2,4,6,9,10,12],[2,5,6,7,10,13],[2,5,7,8,10,11],[2,6,7,9,12,13],[3,4,5,6,7,12],[3,4,5,9,11,13],[3,4,7,8,9,13],[3,5,6,8,11,12],[3,6,7,8,9,10],[4,5,7,10,11,13],[4,5,8,9,10,12]];
G[1183]:=Group([(2,11,13)(3,9,12)(4,6,8)(5,7,10)]);
# Design 1184: autom. group order 3, simple
B[1184]:=[[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],[1,4,6,7,8,12],[1,4,9,10,12,13],[1,5,6,7,10,13],[1,5,8,9,10,11],[1,6,7,8,9,11],[2,3,7,8,10,13],[2,3,8,9,11,12],[2,4,6,8,9,10],[2,4,6,10,11,13],[2,5,6,8,11,13],[2,5,7,9,12,13],[2,6,7,9,10,12],[3,4,5,6,9,12],[3,4,5,7,10,11],[3,4,7,9,11,13],[3,5,6,8,12,13],[3,6,7,10,11,12],[4,5,7,8,9,13],[4,5,8,10,11,12]];
G[1184]:=Group([(1,7,13)(2,3,11)(5,10,6)(8,9,12)]);
# Design 1185: autom. group order 3, simple, derived
B[1185]:=[[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],[1,4,6,9,10,11],[1,4,7,8,10,12],[1,5,6,8,10,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,7,8,10,11],[2,3,9,10,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,12,13],[2,5,8,9,10,11],[2,6,7,8,9,13],[3,4,5,6,7,9],[3,4,5,10,12,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,6,7,10,11,12],[4,5,7,8,10,13],[4,5,8,9,11,12]];
G[1185]:=Group([(1,5,12)(2,11,7)(3,8,10)(4,9,6)]);
# Design 1186: autom. group order 3, simple, derived
B[1186]:=[[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],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,11],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,6,10,11,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[1186]:=Group([(1,5,8)(3,9,7)(4,10,13)(6,11,12)]);
# Design 1187: autom. group order 3, simple, derived
B[1187]:=[[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],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,9,12],[1,6,7,9,10,11],[1,6,8,10,11,13],[2,3,6,8,11,13],[2,3,6,10,12,13],[2,4,6,7,10,12],[2,4,9,11,12,13],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,5,8,9,10,11],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,6,7,9,13],[4,5,6,8,10,12]];
G[1187]:=Group([(1,4,8)(2,3,7)(5,10,13)(6,11,12)]);
# Design 1188: autom. group order 3, simple, derived
B[1188]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,6,10,12,13],[2,4,7,10,11,12],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,7,9,11,13],[2,5,8,10,11,13],[3,4,6,7,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,8,11,12],[3,5,7,8,9,10],[4,5,6,7,8,10],[4,5,6,9,12,13]];
G[1188]:=Group([(2,6,8)(3,11,13)(4,9,7)(5,10,12)]);
# Design 1189: autom. group order 3, simple, derived
B[1189]:=[[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],[1,3,9,10,11,12],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[1,6,8,9,11,13],[2,3,6,8,11,13],[2,3,6,10,12,13],[2,4,7,9,12,13],[2,4,10,11,12,13],[2,5,6,7,9,12],[2,5,7,8,10,11],[2,5,8,9,10,13],[3,4,6,8,10,12],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[1189]:=Group([(1,5,9)(2,10,3)(4,8,11)(6,13,12)]);
# Design 1190: autom. group order 3, simple, derived
B[1190]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,8,10,11],[2,4,6,11,12,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,7,9,11,13],[2,5,8,10,11,13],[3,4,6,7,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,8,9,13],[3,5,6,8,11,12],[4,5,6,7,8,10],[4,5,7,9,10,12]];
G[1190]:=Group([(2,6,8)(3,11,13)(4,9,7)(5,10,12)]);
# Design 1191: autom. group order 3, simple, derived
B[1191]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,8,10,11,12],[2,4,6,7,10,12],[2,4,9,10,12,13],[2,5,6,11,12,13],[2,5,7,8,9,10],[2,5,7,9,11,13],[3,4,6,7,10,13],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,7,9,12],[3,5,6,8,10,13],[4,5,6,8,9,12],[4,5,7,8,10,11]];
G[1191]:=Group([(2,6,8)(3,11,13)(4,9,7)(5,10,12)]);
# Design 1192: autom. group order 3, simple, derived
B[1192]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,6,11,12,13],[2,5,8,9,11,13],[3,4,6,8,11,12],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,8,10],[4,5,7,9,10,12]];
G[1192]:=Group([(2,6,8)(3,11,13)(4,9,7)(5,10,12)]);
# Design 1193: autom. group order 3, simple, derived
B[1193]:=[[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],[1,3,9,10,12,13],[1,4,5,8,12,13],[1,4,5,10,11,13],[1,6,7,8,9,13],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,8,10,11,12],[2,4,7,10,11,13],[2,4,8,9,10,12],[2,5,6,7,9,12],[2,5,6,11,12,13],[2,5,7,9,10,13],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,7,9,11,13],[3,5,6,8,10,13],[3,5,7,8,9,11],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[1193]:=Group([(2,6,8)(3,11,13)(4,9,7)(5,10,12)]);
# Design 1194: autom. group order 3, simple
B[1194]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,10],[1,4,5,9,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,7,9,11,12],[2,3,8,10,12,13],[2,4,6,10,11,13],[2,4,7,8,12,13],[2,5,6,7,10,13],[2,5,6,8,9,11],[2,5,8,9,10,12],[3,4,6,8,9,13],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,6,7,12,13],[4,5,7,10,11,12],[4,5,8,9,11,13]];
G[1194]:=Group([(1,8,13)(2,5,6)(3,11,10)(4,9,7)]);
# Design 1195: autom. group order 3, simple
B[1195]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,13],[1,4,5,7,10,11],[1,4,5,8,12,13],[1,6,7,8,9,11],[1,6,9,10,12,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,6,10,11,13],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,7,9,10,12],[2,5,8,9,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,13],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[1195]:=Group([(1,9,11)(2,4,12)(5,10,13)(6,8,7)]);
# Design 1196: autom. group order 3, simple, derived
B[1196]:=[[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],[1,3,5,7,8,13],[1,3,8,10,11,12],[1,4,5,6,10,11],[1,4,5,9,12,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[1,6,8,9,12,13],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,6,8,10,13],[2,4,7,9,10,11],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,5,7,8,10,12],[3,4,6,7,9,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,5,9,10,11,13],[4,5,7,8,11,13],[4,5,8,9,10,12]];
G[1196]:=Group([(1,3,12)(2,7,13)(5,6,9)(8,10,11)]);
# Design 1197: autom. group order 3, simple
B[1197]:=[[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],[1,3,6,9,10,13],[1,4,5,8,12,13],[1,4,10,11,12,13],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,7,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,7,9,12,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,6,8,10,11,13],[3,4,6,9,11,12],[3,4,7,8,10,13],[3,4,8,9,10,11],[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[1197]:=Group([(1,2,9)(3,5,10)(4,13,6)(8,11,12)]);
# Design 1198: autom. group order 3, simple
B[1198]:=[[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],[1,3,5,10,12,13],[1,3,6,9,11,13],[1,4,5,8,12,13],[1,4,9,10,11,12],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,3,7,9,12,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,7,9,11,12],[2,6,8,10,11,13],[3,4,6,11,12,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,5,6,8,9,11],[3,5,7,8,10,11],[4,5,6,7,9,10],[4,5,6,8,9,12]];
G[1198]:=Group([(1,10,12)(3,8,9)(4,13,7)(5,6,11)]);
# Design 1199: autom. group order 3, simple
B[1199]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,13],[1,4,5,8,12,13],[1,4,7,9,12,13],[1,5,8,10,11,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,8,10,11,13],[2,5,6,9,11,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,12],[3,4,8,9,10,11],[3,4,9,11,12,13],[3,5,6,8,11,13],[3,5,7,8,9,12],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[1199]:=Group([(1,2,10)(3,5,9)(4,13,6)(7,12,8)]);
# Design 1200: autom. group order 3, simple
B[1200]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,13],[1,4,5,8,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,6,7,9,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,8,10,11],[2,4,5,9,10,13],[2,4,7,9,12,13],[2,5,6,10,11,12],[2,5,8,9,11,13],[2,6,7,8,10,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,6,7,10,11]];
G[1200]:=Group([(1,2,9)(3,5,10)(4,13,6)(7,11,12)]);
# Design 1201: autom. group order 3, simple
B[1201]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,13],[1,4,5,8,11,13],[1,4,10,11,12,13],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,9,10,13],[2,4,8,9,12,13],[2,5,6,10,11,12],[2,5,7,9,11,13],[2,6,7,8,10,13],[3,4,6,7,9,11],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,8,11,13],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,5,6,7,9,12]];
G[1201]:=Group([(1,2,9)(3,5,10)(4,13,6)(7,11,8)]);
# Design 1202: autom. group order 3, simple, derived
B[1202]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,13],[1,4,5,11,12,13],[1,4,8,9,11,13],[1,5,7,8,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,5,9,10,13],[2,4,7,10,12,13],[2,5,6,7,9,11],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,7,8,9,13],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,5,6,8,9,12]];
G[1202]:=Group([(1,2,10)(3,5,9)(4,13,6)(7,11,12)]);
# Design 1203: autom. group order 3, simple
B[1203]:=[[1,2,3,4,5,6],[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],[1,5,8,10,11,12],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,9,11,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,7,10,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,8,9,10],[3,5,7,9,12,13],[4,5,6,7,9,11],[4,5,6,8,12,13]];
G[1203]:=Group([(1,4,8)(2,3,7)(5,10,13)(6,11,9)]);
# Design 1204: autom. group order 3, simple
B[1204]:=[[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],[1,3,6,7,10,13],[1,4,5,8,12,13],[1,4,9,10,12,13],[1,5,7,8,9,12],[1,6,7,8,9,11],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,8,9,11,12],[2,4,5,7,11,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,9,10,13],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,7,8,9,13],[3,4,9,10,11,12],[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[1204]:=Group([(1,2,12)(3,8,5)(4,6,13)(7,10,11)]);
# Design 1205: autom. group order 3, simple
B[1205]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,5,7,8,13],[1,4,10,11,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,10,12],[2,4,5,10,12,13],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,6,7,8,12,13],[3,4,6,7,9,10],[3,4,7,9,11,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,6,8,9,12]];
G[1205]:=Group([(1,8,9)(2,3,11)(4,12,7)(6,10,13)]);
# Design 1206: autom. group order 3, simple, derived
B[1206]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,7,8,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,6,10,11,13],[2,3,7,8,9,12],[2,4,5,7,10,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,8,9,10,13],[3,4,6,8,12,13],[3,4,7,9,10,11],[3,4,7,10,12,13],[3,5,6,7,8,11],[3,5,9,11,12,13],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[1206]:=Group([(1,2,12)(3,8,10)(4,11,6)(5,9,7)]);
# Design 1207: autom. group order 3, simple, derived
B[1207]:=[[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],[1,3,6,8,12,13],[1,4,5,8,10,12],[1,4,9,11,12,13],[1,5,8,9,11,13],[1,6,7,8,9,10],[1,6,7,10,11,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,10,12,13],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,6,10,11,12],[4,5,6,7,8,13],[4,5,7,9,10,12]];
G[1207]:=Group([(1,3,11)(2,8,9)(5,10,13)(6,7,12)]);
# Design 1208: autom. group order 3, simple, derived
B[1208]:=[[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],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,5,8,11,12],[1,4,10,11,12,13],[1,5,8,9,10,13],[1,6,7,8,9,12],[1,6,7,9,11,13],[2,3,8,11,12,13],[2,3,9,10,11,12],[2,4,5,7,12,13],[2,4,6,9,12,13],[2,5,6,7,10,13],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,6,8,10,13],[3,4,7,8,9,13],[3,4,7,9,10,11],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,6,8,10,11],[4,5,7,9,10,12]];
G[1208]:=Group([(1,3,8)(2,4,7)(5,13,12)(6,9,10)]);
# Design 1209: autom. group order 3, simple, derived
B[1209]:=[[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],[1,3,6,8,11,12],[1,4,5,7,10,12],[1,4,9,11,12,13],[1,5,7,9,11,13],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,5,6,7,11,12],[2,5,8,9,10,11],[2,6,7,8,9,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,5,6,10,11,12],[4,5,6,7,8,13],[4,5,8,9,10,12]];
G[1209]:=Group([(1,3,11)(2,7,9)(5,10,13)(6,8,12)]);
# Design 1210: autom. group order 3, simple
B[1210]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,7,11],[1,2,9,11,12,13],[1,3,5,9,11,12],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,7,9,10,13],[2,3,7,8,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,9,10,12],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,8,9,11,12],[3,4,6,8,9,12],[3,4,6,10,11,13],[3,4,7,9,11,13],[3,5,6,7,11,12],[3,5,7,8,9,10],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[1210]:=Group([(1,4,10)(2,12,6)(3,5,13)(8,11,9)]);
# Design 1211: autom. group order 3, simple, derived
B[1211]:=[[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],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,7,8,11,13],[1,5,8,9,10,11],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,8,10,11,13],[2,3,9,11,12,13],[2,4,5,10,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,7,11,13],[2,6,7,8,9,12],[3,4,6,7,10,13],[3,4,6,8,9,12],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,9,11,13],[4,5,7,9,10,12]];
G[1211]:=Group([(1,4,10)(2,12,6)(3,5,13)(7,9,8)]);
# Design 1212: autom. group order 3, simple, derived
B[1212]:=[[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],[1,3,6,10,12,13],[1,4,5,11,12,13],[1,4,7,8,9,13],[1,5,7,8,10,11],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,5,10,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,6,7,11,13],[2,6,8,9,11,12],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,5,6,7,9,12],[3,5,8,9,11,13],[4,5,6,8,9,13],[4,5,7,9,10,12]];
G[1212]:=Group([(1,4,10)(2,12,6)(3,5,13)(8,9,11)]);
# Design 1213: autom. group order 3, simple
B[1213]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,9,11,12,13],[1,3,5,7,11,12],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,7,8,9,10],[1,5,7,8,11,13],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,7,10,11],[2,6,7,8,9,12],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,4,7,9,11,13],[3,5,6,8,9,12],[3,5,8,9,10,11],[4,5,6,9,11,13],[4,5,7,9,10,12]];
G[1213]:=Group([(1,4,10)(2,12,6)(3,5,13)(7,9,8)]);
# Design 1214: autom. group order 3, simple, derived
B[1214]:=[[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],[1,3,9,11,12,13],[1,4,5,11,12,13],[1,4,6,8,10,13],[1,5,8,9,10,11],[1,6,7,8,9,12],[1,6,7,10,11,13],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,5,7,11,13],[2,4,9,10,12,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,7,9,10,11],[3,4,7,8,10,11],[3,4,7,9,11,12],[3,4,8,9,10,13],[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[1214]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,11,12)]);
# Design 1215: autom. group order 3, simple
B[1215]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,6,10,11],[1,2,8,10,11,12],[1,3,5,10,12,13],[1,3,8,9,10,12],[1,4,5,9,11,13],[1,4,6,8,12,13],[1,5,7,10,11,13],[1,6,7,8,9,13],[1,6,7,9,11,12],[2,3,6,10,11,13],[2,3,8,9,11,13],[2,4,5,9,12,13],[2,4,7,9,10,12],[2,5,6,8,12,13],[2,5,7,8,11,12],[2,6,7,9,10,13],[3,4,6,9,11,12],[3,4,7,8,11,13],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,7,8,10],[4,5,8,9,10,11]];
G[1215]:=Group([(1,8,11)(2,10,12)(3,5,6)(4,9,7)]);
# Design 1216: autom. group order 3, simple, derived
B[1216]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,9,11,12,13],[1,3,5,7,10,13],[1,3,7,8,11,12],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,5,8,9,10,12],[1,6,7,9,10,11],[1,6,8,10,12,13],[2,3,6,8,9,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,7,8,10,13],[3,4,6,8,10,12],[3,4,7,9,12,13],[3,4,9,10,11,13],[3,5,6,8,9,11],[3,5,6,11,12,13],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[1216]:=Group([(1,8,9)(2,13,4)(3,6,7)(5,10,12)]);
# Design 1217: autom. group order 3, simple, derived
B[1217]:=[[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],[1,3,8,10,11,13],[1,4,5,11,12,13],[1,4,7,8,9,13],[1,5,6,7,10,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,6,8,10,13],[2,4,5,10,12,13],[2,4,8,10,11,12],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,6,7,11,12],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,9,11,13],[3,5,7,8,9,12],[4,5,6,7,8,10],[4,5,6,8,9,13]];
G[1217]:=Group([(1,4,10)(2,12,6)(3,13,7)(8,9,11)]);
# Design 1218: autom. group order 3, simple, derived
B[1218]:=[[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],[1,3,9,10,11,12],[1,4,5,8,11,13],[1,4,10,11,12,13],[1,5,6,8,10,13],[1,6,7,8,9,12],[1,6,7,9,11,13],[2,3,6,9,12,13],[2,3,8,11,12,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,5,7,9,11,13],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,6,7,10,13],[3,4,7,8,9,13],[3,4,8,9,10,11],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,8,9,12],[4,5,7,9,10,12]];
G[1218]:=Group([(1,3,7)(2,4,8)(5,13,12)(6,9,10)]);
# Design 1219: autom. group order 3, simple
B[1219]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,13],[1,3,5,8,11,13],[1,3,7,9,11,12],[1,4,5,7,12,13],[1,4,9,10,11,13],[1,5,6,8,9,12],[1,6,7,8,10,13],[1,6,8,10,11,12],[2,3,6,7,11,13],[2,3,8,9,10,12],[2,4,5,8,10,11],[2,4,6,9,12,13],[2,5,7,8,12,13],[2,5,10,11,12,13],[2,6,7,8,9,11],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,6,9,11,13],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[1219]:=Group([(2,6,10)(3,12,13)(4,8,9)(5,11,7)]);
# Design 1220: autom. group order 3, simple
B[1220]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,6,10,11],[1,2,8,9,10,12],[1,3,5,10,11,12],[1,3,9,11,12,13],[1,4,5,11,12,13],[1,4,7,8,12,13],[1,5,6,8,10,13],[1,6,7,8,9,11],[1,6,7,9,10,13],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,5,9,10,13],[2,4,8,9,11,13],[2,5,6,7,12,13],[2,5,7,8,11,12],[2,6,7,10,11,12],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,10,13],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[1220]:=Group([(1,2,12)(3,7,11)(4,6,13)(8,10,9)]);
# Design 1221: autom. group order 3, simple, derived
B[1221]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,9,10,13],[1,4,9,11,12,13],[1,5,6,7,11,13],[1,6,7,8,10,12],[1,6,8,9,10,13],[2,3,6,8,9,13],[2,3,7,10,12,13],[2,4,5,8,12,13],[2,4,7,9,10,11],[2,5,6,10,11,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,5,7,8,9,12]];
G[1221]:=Group([(1,8,13)(2,5,7)(3,4,12)(6,9,10)]);
# Design 1222: autom. group order 3, simple
B[1222]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,10,13],[1,3,5,8,11,13],[1,3,7,9,11,12],[1,4,5,7,12,13],[1,4,9,10,11,13],[1,5,6,8,9,12],[1,6,7,8,10,13],[1,6,8,10,11,12],[2,3,6,8,9,13],[2,3,7,10,11,12],[2,4,5,8,10,11],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,9,11,12,13],[2,6,7,8,9,11],[3,4,6,7,11,13],[3,4,6,9,10,12],[3,4,8,9,12,13],[3,5,6,10,11,13],[3,5,7,8,10,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[1222]:=Group([(2,6,10)(3,12,13)(4,8,9)(5,11,7)]);
# Design 1223: autom. group order 3, simple, derived
B[1223]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,5,7,12,13],[1,4,8,10,11,13],[1,5,6,8,10,12],[1,6,7,9,10,13],[1,6,8,9,11,12],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,8,9,13],[2,4,7,10,11,12],[2,5,6,9,12,13],[2,5,7,8,10,12],[2,6,7,8,10,13],[3,4,6,7,9,10],[3,4,6,10,12,13],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[1223]:=Group([(1,2,12)(3,10,8)(4,11,6)(5,7,9)]);
# Design 1224: autom. group order 3, simple
B[1224]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,9,11],[1,2,7,8,9,12],[1,3,5,11,12,13],[1,3,7,10,11,12],[1,4,5,8,12,13],[1,4,9,11,12,13],[1,5,6,7,10,13],[1,6,7,8,10,11],[1,6,8,9,10,13],[2,3,6,8,12,13],[2,3,9,10,11,13],[2,4,5,7,10,13],[2,4,8,10,11,13],[2,5,6,7,11,12],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,5,7,8,9,13],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[1224]:=Group([(1,10,12)(3,11,7)(4,13,6)(5,8,9)]);
# Design 1225: autom. group order 3, simple, derived
B[1225]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,5,8,10,13],[1,4,9,10,11,12],[1,5,6,8,9,13],[1,6,7,8,10,12],[1,6,7,9,11,13],[2,3,6,8,9,12],[2,3,7,9,10,13],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,7,11,13],[2,5,9,10,11,12],[2,6,8,10,12,13],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,9,11,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,6,7,9,10],[4,5,7,8,9,12]];
G[1225]:=Group([(1,7,13)(2,5,8)(3,12,10)(6,9,11)]);
# Design 1226: autom. group order 3, simple, derived
B[1226]:=[[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],[1,3,5,8,12,13],[1,3,9,10,11,12],[1,4,5,10,12,13],[1,4,7,8,10,11],[1,5,6,7,9,13],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,6,7,10,13],[2,3,8,9,11,12],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,10,11,12],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,11,12,13],[3,4,8,9,10,13],[3,5,6,7,8,11],[3,5,7,9,11,13],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[1226]:=Group([(1,7,10)(2,5,13)(3,9,6)(4,11,8)]);
# Design 1227: autom. group order 3, simple
B[1227]:=[[1,2,3,4,5,6],[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],[1,3,7,8,10,11],[1,4,5,8,10,13],[1,4,8,9,12,13],[1,5,6,7,11,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,10,11,12],[2,4,6,7,9,13],[2,5,6,8,10,13],[2,5,7,8,9,11],[2,6,8,9,10,12],[3,4,6,7,9,10],[3,4,6,8,11,13],[3,4,9,10,11,12],[3,5,6,7,8,12],[3,5,6,9,11,13],[4,5,7,8,9,12],[4,5,7,10,11,13]];
G[1227]:=Group([(1,4,12)(2,11,6)(3,10,7)(8,9,13)]);
# Design 1228: autom. group order 3, simple
B[1228]:=[[1,2,3,4,5,6],[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],[1,3,8,9,10,12],[1,4,5,7,12,13],[1,4,9,11,12,13],[1,5,6,7,10,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,7,8,12,13],[2,3,10,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,6,10,12,13],[2,5,7,9,11,12],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,7,8,10,11],[4,5,8,9,10,12]];
G[1228]:=Group([(1,10,13)(2,4,8)(3,11,9)(5,7,6)]);
# Design 1229: autom. group order 3, simple
B[1229]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,5,6,8,11],[1,3,7,9,12,13],[1,4,5,7,12,13],[1,4,8,9,10,13],[1,5,8,10,11,12],[1,6,7,8,10,12],[1,6,9,10,11,13],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,11],[2,5,6,7,10,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,6,8,10,13],[3,4,6,11,12,13],[3,4,7,9,10,11],[3,5,7,8,9,13],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,6,8,9,12]];
G[1229]:=Group([(1,11,12)(2,4,9)(3,7,6)(5,10,8)]);
# Design 1230: autom. group order 3, simple
B[1230]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,13],[1,3,5,6,11,13],[1,3,9,11,12,13],[1,4,5,8,10,12],[1,4,8,9,10,11],[1,5,7,10,11,13],[1,6,7,8,12,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,7,8,11,13],[2,6,8,9,10,11],[3,4,6,7,9,11],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,5,6,7,8,10],[3,5,8,9,11,12],[4,5,6,8,11,12],[4,5,7,9,10,13]];
G[1230]:=Group([(1,4,13)(2,9,11)(3,7,5)(6,8,10)]);
# Design 1231: autom. group order 3, simple, derived
B[1231]:=[[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],[1,3,5,6,7,11],[1,3,8,10,12,13],[1,4,5,8,9,13],[1,4,7,9,10,12],[1,5,8,10,11,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,7,9,11,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,6,7,8,12],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,8,9,10,11],[3,4,6,8,10,11],[3,4,6,9,10,12],[3,4,8,9,11,13],[3,5,6,9,12,13],[3,5,7,8,11,12],[4,5,6,7,10,13],[4,5,7,9,11,12]];
G[1231]:=Group([(1,5,7)(2,12,13)(3,11,6)(4,8,10)]);
# Design 1232: autom. group order 3, simple, derived
B[1232]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,12],[1,3,5,6,11,13],[1,3,7,8,11,13],[1,4,5,7,8,10],[1,4,7,9,12,13],[1,5,8,9,12,13],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,7,10,13],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,7,10,11,12],[4,5,6,8,11,13],[4,5,7,9,10,11]];
G[1232]:=Group([(1,3,12)(2,8,9)(5,10,13)(6,11,7)]);
# Design 1233: autom. group order 3, simple
B[1233]:=[[1,2,3,4,5,6],[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],[1,4,5,7,12,13],[1,4,6,8,11,13],[1,5,8,10,12,13],[1,6,7,9,10,12],[1,7,8,9,10,11],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,7,10,11],[2,4,6,8,10,12],[2,5,7,8,10,13],[2,5,9,11,12,13],[2,6,7,8,11,12],[3,4,7,9,12,13],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,7,11,12],[4,5,6,8,9,13],[4,5,6,9,10,11]];
G[1233]:=Group([(1,2,9)(3,11,7)(4,13,10)(5,12,6)]);
# Design 1234: autom. group order 3, simple, derived
B[1234]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,10],[1,4,5,8,11,13],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,9,10,13],[2,5,8,9,11,12],[2,6,7,8,10,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,4,8,10,12,13],[3,5,6,8,11,13],[3,5,7,9,11,12],[4,5,6,7,8,9],[4,5,6,7,10,11]];
G[1234]:=Group([(1,2,10)(3,5,9)(4,13,8)(7,12,11)]);
# Design 1235: autom. group order 3, simple, derived
B[1235]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,10],[1,4,5,7,8,13],[1,4,6,10,11,12],[1,5,7,8,10,12],[1,6,7,9,12,13],[1,8,9,10,11,13],[2,3,6,8,11,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,8,9,12,13],[2,5,6,9,10,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,6,7,9,13],[3,4,7,9,10,12],[3,4,8,10,11,13],[3,5,6,8,12,13],[3,5,7,9,11,12],[4,5,6,7,10,11],[4,5,6,8,9,11]];
G[1235]:=Group([(1,2,10)(3,5,9)(4,13,8)(7,12,11)]);
# Design 1236: autom. group order 3, simple
B[1236]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,13],[1,4,5,7,10,11],[1,4,6,10,12,13],[1,5,8,9,11,13],[1,6,7,8,9,12],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,9,10,12],[2,6,9,10,11,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,9,13],[4,5,6,7,11,13],[4,5,6,8,9,12]];
G[1236]:=Group([(1,9,12)(2,4,11)(5,10,13)(6,8,7)]);
# Design 1237: autom. group order 3, simple
B[1237]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,6,7,10,11],[1,5,7,9,10,12],[1,6,8,9,12,13],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,9,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,13],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[1237]:=Group([(1,9,11)(2,4,12)(5,10,13)(6,8,7)]);
# Design 1238: autom. group order 3, simple, derived
B[1238]:=[[1,2,3,4,5,6],[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],[1,4,5,10,12,13],[1,4,6,8,12,13],[1,5,7,9,11,12],[1,6,7,8,10,11],[1,7,8,9,10,12],[2,3,6,7,10,12],[2,3,8,10,11,12],[2,4,5,7,8,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,6,9,10,11,13],[3,4,6,9,11,12],[3,4,7,9,11,13],[3,4,7,10,12,13],[3,5,6,8,9,12],[3,5,7,8,9,13],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[1238]:=Group([(1,2,9)(3,13,12)(4,10,7)(5,6,11)]);
# Design 1239: autom. group order 3, simple, derived
B[1239]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,6,10,12,13],[1,5,7,9,10,12],[1,6,7,8,9,11],[1,7,8,10,11,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,7,10,11],[2,4,7,8,10,13],[2,5,6,8,10,12],[2,5,8,9,12,13],[2,6,9,10,11,13],[3,4,6,7,9,12],[3,4,8,9,10,12],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,7,8,9,13],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[1239]:=Group([(1,9,11)(2,4,12)(5,10,13)(6,8,7)]);
# Design 1240: autom. group order 3, simple
B[1240]:=[[1,2,3,4,5,6],[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],[1,3,6,7,10,13],[1,4,5,8,9,13],[1,4,6,8,10,12],[1,5,7,8,11,12],[1,6,7,9,10,12],[1,8,9,10,11,13],[2,3,7,8,12,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,6,7,8,9],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,5,6,8,10,11],[3,5,6,9,12,13],[4,5,6,7,9,11],[4,5,7,8,10,13]];
G[1240]:=Group([(1,4,11)(2,9,12)(3,7,5)(6,13,8)]);
# Design 1241: autom. group order 3, simple
B[1241]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,5,7,11,12,13],[1,6,7,8,10,11],[1,8,9,10,12,13],[2,3,7,8,10,12],[2,3,10,11,12,13],[2,4,5,10,11,13],[2,4,6,8,12,13],[2,5,6,7,11,12],[2,5,7,8,9,13],[2,6,8,9,10,11],[3,4,6,8,11,13],[3,4,7,9,10,11],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,6,8,9,12],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[1241]:=Group([(1,4,11)(2,9,12)(3,7,5)(6,10,13)]);
# Design 1242: autom. group order 3, simple
B[1242]:=[[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],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,6,9,11,12],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,7,8,9,12,13],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,7,9,10,11],[2,5,6,8,11,12],[2,5,6,9,10,13],[2,6,7,8,11,13],[3,4,6,7,10,13],[3,4,6,8,10,12],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1242]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1243: autom. group order 3, simple
B[1243]:=[[1,2,3,4,5,6],[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],[1,3,6,7,10,11],[1,4,5,8,11,13],[1,4,6,9,10,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,10,12],[2,4,8,10,12,13],[2,5,6,7,11,12],[2,5,6,9,11,13],[2,6,8,9,10,11],[3,4,6,8,11,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,10,12],[3,5,7,8,9,13],[4,5,6,7,10,13],[4,5,7,8,9,11]];
G[1243]:=Group([(1,2,11)(3,6,13)(4,9,12)(7,8,10)]);
# Design 1244: autom. group order 3, simple, derived
B[1244]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,11],[1,4,5,8,11,13],[1,4,6,7,9,13],[1,5,8,9,10,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,7,8,11,13],[2,3,8,9,12,13],[2,4,5,7,10,12],[2,4,8,10,12,13],[2,5,6,7,11,12],[2,5,6,9,11,13],[2,6,8,9,10,11],[3,4,6,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,11],[3,5,6,7,8,12],[3,5,7,9,10,13],[4,5,6,8,10,13],[4,5,7,8,9,11]];
G[1244]:=Group([(1,2,11)(3,6,13)(4,9,12)(7,8,10)]);
# Design 1245: autom. group order 3, simple
B[1245]:=[[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],[1,3,6,8,10,11],[1,4,5,10,11,12],[1,4,9,11,12,13],[1,5,6,7,9,13],[1,6,7,8,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,6,7,10,12],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,8,9,10,11],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,7,10,11,12],[4,5,6,7,8,12],[4,5,6,9,10,13]];
G[1245]:=Group([(1,8,12)(3,5,13)(4,11,6)(7,9,10)]);
# Design 1246: autom. group order 3, simple
B[1246]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,9,12,13],[1,3,5,7,12,13],[1,3,6,7,8,11],[1,4,5,8,11,12],[1,4,9,11,12,13],[1,5,6,8,10,13],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,7,11,13],[2,4,6,8,10,12],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,6,8,9,13]];
G[1246]:=Group([(1,7,12)(3,5,13)(4,11,6)(8,10,9)]);
# Design 1247: autom. group order 3, simple, derived
B[1247]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,9,12,13],[1,3,5,7,11,12],[1,3,6,10,11,13],[1,4,5,7,8,13],[1,4,8,10,12,13],[1,5,6,8,11,12],[1,6,7,9,11,13],[1,7,8,9,10,12],[2,3,6,7,8,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,7,9,12],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,10,11],[3,4,6,10,12,13],[3,4,7,9,11,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,9,10,13],[4,5,6,7,10,11],[4,5,6,8,9,10]];
G[1247]:=Group([(1,2,8)(3,7,4)(5,6,13)(9,11,12)]);
# Design 1248: autom. group order 3, simple, derived
B[1248]:=[[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],[1,3,6,9,12,13],[1,4,5,7,8,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,6,7,10,11,13],[1,7,8,9,10,12],[2,3,6,7,8,13],[2,3,8,9,11,12],[2,4,5,11,12,13],[2,4,6,7,10,12],[2,5,7,9,10,13],[2,5,8,10,12,13],[2,6,7,8,9,11],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,5,6,8,9,11]];
G[1248]:=Group([(1,2,8)(3,7,4)(5,6,13)(10,11,12)]);
# Design 1249: autom. group order 3, simple, derived
B[1249]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,5,7,8,13],[1,4,8,9,12,13],[1,5,6,8,10,12],[1,6,7,10,12,13],[1,7,8,9,10,11],[2,3,6,7,8,13],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,6,7,10,12],[2,5,7,9,12,13],[2,5,8,11,12,13],[2,6,7,8,9,11],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,8,11,12],[3,5,7,9,10,13],[4,5,6,7,9,11],[4,5,6,8,9,10]];
G[1249]:=Group([(1,2,8)(3,7,4)(5,6,13)(10,11,12)]);
# Design 1250: autom. group order 3, simple, derived
B[1250]:=[[1,2,3,4,5,6],[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],[1,3,6,7,9,11],[1,4,5,8,10,12],[1,4,7,8,11,13],[1,5,6,7,12,13],[1,6,8,9,10,13],[1,7,8,9,10,12],[2,3,6,7,8,12],[2,3,7,10,12,13],[2,4,5,8,9,13],[2,4,6,10,12,13],[2,5,7,8,11,13],[2,5,7,9,10,11],[2,6,8,9,11,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,6,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[1250]:=Group([(1,6,9)(2,5,12)(3,7,11)(8,10,13)]);
# Design 1251: autom. group order 3, simple
B[1251]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,5,7,10,13],[1,4,8,9,10,12],[1,5,6,9,12,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,8,9,13],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,6,7,8,9],[3,4,6,10,12,13],[3,4,9,11,12,13],[3,5,7,8,12,13],[3,5,7,9,10,11],[4,5,6,7,9,11],[4,5,6,8,10,11]];
G[1251]:=Group([(1,12,13)(3,10,8)(4,7,11)(5,6,9)]);
# Design 1252: autom. group order 3, simple
B[1252]:=[[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],[1,3,6,9,12,13],[1,4,5,9,11,13],[1,4,8,9,11,12],[1,5,6,7,10,12],[1,6,7,8,12,13],[1,7,8,9,10,11],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,5,8,12,13],[2,4,6,7,10,11],[2,5,6,9,11,12],[2,5,8,9,10,13],[2,6,7,9,11,13],[3,4,6,8,11,13],[3,4,6,9,10,12],[3,4,7,9,10,13],[3,5,6,8,10,11],[3,5,7,8,11,12],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1252]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1253: autom. group order 3, simple
B[1253]:=[[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],[1,3,6,9,10,11],[1,4,5,9,10,13],[1,4,8,9,11,13],[1,5,6,7,11,12],[1,6,7,8,12,13],[1,7,8,9,10,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,8,10,12],[2,4,6,7,11,13],[2,5,6,9,12,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,6,8,11,12],[3,4,6,9,10,12],[3,4,7,9,12,13],[3,5,6,8,10,13],[3,5,7,8,10,11],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1253]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,13,11)]);
# Design 1254: autom. group order 3, simple
B[1254]:=[[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],[1,3,6,9,10,11],[1,4,5,9,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,6,7,8,11,12],[1,7,8,9,11,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,6,7,11,12],[2,5,6,9,10,11],[2,5,8,9,10,12],[2,6,7,9,12,13],[3,4,6,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,8,11,12],[3,5,7,8,10,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1254]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,13,11)]);
# Design 1255: autom. group order 3, simple
B[1255]:=[[1,2,3,4,5,6],[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],[1,3,6,7,10,13],[1,4,5,9,10,12],[1,4,8,9,12,13],[1,5,6,8,11,13],[1,6,7,8,10,12],[1,7,9,10,11,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,6,8,10,13],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,9,10,11,12],[3,4,6,7,9,11],[3,4,6,11,12,13],[3,4,8,9,10,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[1255]:=Group([(1,4,10)(2,13,7)(3,8,6)(5,9,12)]);
# Design 1256: autom. group order 3, simple
B[1256]:=[[1,2,3,4,5,6],[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],[1,4,7,8,9,10],[1,5,6,7,10,13],[1,6,7,8,11,12],[1,8,9,10,12,13],[2,3,7,9,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,6,8,10,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,9],[3,5,7,8,11,12],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[1256]:=Group([(1,4,9)(2,11,12)(3,5,13)(7,10,8)]);
# Design 1257: autom. group order 3, simple, derived
B[1257]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,7,8,9,10],[1,5,6,7,8,13],[1,6,7,10,11,12],[1,8,9,10,12,13],[2,3,7,10,11,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,5,6,7,9,12],[2,5,7,8,12,13],[2,6,7,8,9,11],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,5,6,8,9,10],[3,5,8,10,11,12],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[1257]:=Group([(1,4,9)(2,11,12)(3,5,13)(7,10,8)]);
# Design 1258: autom. group order 3, simple
B[1258]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,12],[1,4,5,8,10,13],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,6,7,10,11,12],[1,7,8,9,10,11],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,11,12],[2,4,6,8,10,12],[2,5,6,7,8,11],[2,5,9,10,12,13],[2,6,7,8,9,13],[3,4,6,7,10,13],[3,4,6,9,10,11],[3,4,8,11,12,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[1258]:=Group([(1,3,11)(2,8,10)(4,12,6)(5,13,7)]);
# Design 1259: autom. group order 3, simple, derived
B[1259]:=[[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],[1,3,6,7,9,12],[1,4,5,8,9,11],[1,4,7,8,10,12],[1,5,6,7,8,13],[1,6,7,10,11,13],[1,8,9,10,12,13],[2,3,7,8,11,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,6,7,9,13],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,6,8,9,10,11],[3,4,6,8,10,12],[3,4,6,9,10,13],[3,4,8,9,11,13],[3,5,6,8,11,12],[3,5,7,9,12,13],[4,5,6,7,10,11],[4,5,7,9,11,12]];
G[1259]:=Group([(1,6,11)(2,12,9)(3,8,4)(7,10,13)]);
# Design 1260: autom. group order 3, simple, derived
B[1260]:=[[1,2,3,4,5,6],[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],[2,3,8,11,12,13],[2,4,5,9,12,13],[2,4,6,8,10,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,6,10,11,12],[3,4,7,8,9,13],[3,4,9,10,11,13],[3,5,6,7,8,13],[3,5,7,9,11,12],[4,5,6,7,9,10],[4,5,6,8,11,12]];
G[1260]:=Group([(2,8,13)(3,12,11)(4,10,6)(5,9,7)]);
# Design 1261: autom. group order 3, simple, derived
B[1261]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,9,12,13],[1,3,6,7,11,13],[1,4,5,8,12,13],[1,4,7,10,11,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,8,11,12],[2,3,7,8,12,13],[2,4,5,7,10,13],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,7,9,10,12,13],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,7,9,11,12],[3,5,8,10,11,13],[4,5,6,7,8,9],[4,5,6,11,12,13]];
G[1261]:=Group([(1,7,12)(2,5,6)(3,9,8)(4,11,10)]);
# Design 1262: autom. group order 3, simple
B[1262]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,5,10,11,12],[1,3,6,8,9,13],[1,4,5,7,11,13],[1,4,8,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,12],[1,6,7,10,11,12],[2,3,7,8,11,13],[2,3,7,9,11,12],[2,4,5,6,8,12],[2,4,6,10,12,13],[2,5,7,9,10,13],[2,5,8,11,12,13],[2,6,8,9,10,11],[3,4,6,9,11,13],[3,4,7,8,10,12],[3,4,9,10,12,13],[3,5,6,7,12,13],[3,5,6,8,10,11],[4,5,6,7,9,11],[4,5,7,8,9,10]];
G[1262]:=Group([(1,8,9)(2,4,10)(3,7,5)(6,12,13)]);
# Design 1263: autom. group order 3, simple, derived
B[1263]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,10,11,12],[1,3,6,8,11,13],[1,4,5,8,9,13],[1,4,8,10,11,12],[1,5,7,9,12,13],[1,6,7,8,10,13],[1,6,7,9,10,12],[2,3,7,8,9,12],[2,3,9,10,11,13],[2,4,5,6,12,13],[2,4,7,10,11,13],[2,5,6,8,10,12],[2,5,7,8,10,13],[2,6,8,9,11,12],[3,4,6,7,9,10],[3,4,6,10,12,13],[3,4,8,9,12,13],[3,5,6,7,8,11],[3,5,7,11,12,13],[4,5,6,7,9,11],[4,5,8,9,10,11]];
G[1263]:=Group([(1,12,13)(3,8,10)(4,6,11)(5,9,7)]);
# Design 1264: autom. group order 3, simple, derived
B[1264]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,12],[1,4,5,11,12,13],[1,4,8,10,12,13],[1,5,7,9,10,11],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,10,11,13],[2,3,8,9,11,12],[2,4,5,6,10,12],[2,4,9,10,11,13],[2,5,6,7,8,13],[2,5,7,9,12,13],[2,6,8,10,11,12],[3,4,6,7,10,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,7,11,12],[3,5,8,10,12,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[1264]:=Group([(1,4,9)(2,8,10)(3,7,5)(6,12,11)]);
# Design 1265: autom. group order 3, simple, derived
B[1265]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,7,11,12],[1,3,6,8,10,13],[1,4,5,10,11,13],[1,4,9,10,12,13],[1,5,7,8,11,13],[1,6,7,8,10,12],[1,6,8,9,11,12],[2,3,7,11,12,13],[2,3,8,10,12,13],[2,4,5,6,8,12],[2,4,7,8,10,11],[2,5,6,10,11,13],[2,5,8,9,12,13],[2,6,7,9,10,11],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,8,9,11],[3,5,7,9,10,12],[4,5,6,7,12,13],[4,5,7,8,9,10]];
G[1265]:=Group([(1,8,9)(2,7,5)(3,4,10)(6,11,12)]);
# Design 1266: autom. group order 3, simple, derived
B[1266]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,13],[1,4,5,9,10,13],[1,4,7,8,10,13],[1,5,7,10,11,12],[1,6,7,9,10,12],[1,6,8,9,12,13],[2,3,7,8,10,12],[2,3,9,10,11,13],[2,4,5,6,12,13],[2,4,8,10,12,13],[2,5,6,7,8,9],[2,5,7,11,12,13],[2,6,8,9,10,11],[3,4,6,7,9,12],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,6,7,10,13],[3,5,8,9,12,13],[4,5,6,8,10,11],[4,5,7,8,9,11]];
G[1266]:=Group([(1,4,11)(2,9,12)(3,7,5)(6,13,10)]);
# Design 1267: autom. group order 3, simple
B[1267]:=[[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],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,9,10,12],[1,5,7,8,11,12],[1,6,7,8,11,13],[1,6,7,9,10,11],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,9,11,13],[2,4,7,8,10,13],[2,5,6,8,11,12],[2,5,8,9,10,11],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,6,9,11,12],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,7,9,10,12],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1267]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1268: autom. group order 3, simple
B[1268]:=[[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],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,8,9,11,12],[1,5,7,8,11,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,9,10,11],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,8,9,11,12],[2,6,7,9,11,13],[3,4,6,7,11,12],[3,4,6,9,11,13],[3,4,8,9,10,13],[3,5,6,8,10,11],[3,5,7,9,10,12],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1268]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1269: autom. group order 3, simple
B[1269]:=[[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],[1,3,8,9,10,11],[1,4,5,6,10,12],[1,4,8,9,11,13],[1,5,7,8,10,13],[1,6,7,8,11,12],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,7,8,12,13],[2,5,6,8,11,12],[2,5,8,9,10,12],[2,6,7,9,10,11],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,8,10,13],[3,5,7,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1269]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,13,11)]);
# Design 1270: autom. group order 3, simple
B[1270]:=[[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],[1,3,5,8,11,12],[1,3,8,10,11,13],[1,4,5,6,11,13],[1,4,7,10,12,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,6,7,12,13],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,8,10,11,12],[2,5,6,9,11,12],[2,5,8,9,10,13],[2,6,7,8,10,11],[3,4,6,8,9,12],[3,4,6,9,10,13],[3,4,9,10,11,12],[3,5,6,7,8,10],[3,5,7,11,12,13],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[1270]:=Group([(2,11,12)(3,13,7)(4,8,10)(5,6,9)]);
# Design 1271: autom. group order 3, simple, derived
B[1271]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,5,6,8,10],[1,4,9,10,12,13],[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],[2,4,5,9,11,13],[2,4,8,10,12,13],[2,5,6,8,11,13],[2,5,7,9,10,13],[2,6,8,10,11,12],[3,4,6,7,11,13],[3,4,6,9,12,13],[3,4,8,9,10,11],[3,5,6,8,9,12],[3,5,7,10,11,12],[4,5,6,7,10,12],[4,5,7,8,9,11]];
G[1271]:=Group([(1,5,11)(3,13,12)(4,9,6)(7,10,8)]);
# Design 1272: autom. group order 3, simple
B[1272]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,6,10,11],[1,4,8,10,12,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,9,12],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,9,10,13],[2,5,6,8,11,12],[2,5,7,8,11,13],[2,6,9,10,11,13],[3,4,6,7,11,13],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,5,6,10,12,13],[3,5,7,8,9,10],[4,5,6,8,9,12],[4,5,7,9,10,11]];
G[1272]:=Group([(2,7,9)(3,6,12)(4,8,11)(5,10,13)]);
# Design 1273: autom. group order 3, simple
B[1273]:=[[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],[1,3,8,9,11,13],[1,4,5,6,12,13],[1,4,7,9,12,13],[1,5,7,8,12,13],[1,6,7,8,10,11],[1,6,8,9,10,12],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,5,6,8,9,13],[2,5,7,9,11,12],[2,6,7,9,10,13],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,10,12],[3,5,6,7,8,9],[3,5,6,7,11,12],[4,5,7,8,10,11],[4,5,9,10,11,13]];
G[1273]:=Group([(1,10,13)(2,4,8)(3,5,11)(6,7,12)]);
# Design 1274: autom. group order 3, simple
B[1274]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,10],[1,3,5,7,11,13],[1,3,8,10,11,12],[1,4,5,6,12,13],[1,4,9,10,11,13],[1,5,7,10,12,13],[1,6,7,8,9,11],[1,6,8,9,12,13],[2,3,7,11,12,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,10,11,12],[2,5,6,7,9,12],[2,5,8,9,10,13],[2,6,7,10,11,13],[3,4,6,7,9,13],[3,4,6,8,10,13],[3,4,7,9,10,12],[3,5,6,8,11,12],[3,5,6,9,10,11],[4,5,7,8,9,11],[4,5,7,8,10,12]];
G[1274]:=Group([(1,8,13)(2,5,7)(3,4,11)(6,9,12)]);
# Design 1275: autom. group order 3, simple
B[1275]:=[[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],[1,3,5,11,12,13],[1,3,8,9,10,11],[1,4,5,6,9,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[1,6,8,10,11,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,8,10,12],[2,4,6,9,10,11],[2,5,6,7,8,13],[2,5,7,8,9,11],[2,6,9,10,12,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,7,9,12,13],[3,5,6,7,10,13],[3,5,6,8,11,12],[4,5,7,10,11,12],[4,5,8,9,11,13]];
G[1275]:=Group([(1,10,12)(2,11,8)(3,4,6)(5,7,9)]);
# Design 1276: autom. group order 3, simple
B[1276]:=[[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],[1,3,7,10,11,12],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,6,7,11,13],[1,6,8,9,11,12],[1,7,8,9,10,13],[2,3,6,11,12,13],[2,3,7,10,12,13],[2,4,5,8,11,12],[2,4,6,9,10,13],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,8,10,11],[3,4,6,7,8,13],[3,4,8,9,11,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,5,6,8,9,10],[4,5,6,7,10,12],[4,5,7,9,12,13]];
G[1276]:=Group([(1,8,13)(3,5,12)(4,11,6)(7,10,9)]);
# Design 1277: autom. group order 3, simple
B[1277]:=[[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],[1,3,9,10,11,12],[1,4,5,10,11,13],[1,4,6,8,9,12],[1,5,6,7,11,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,11,12,13],[2,3,7,9,12,13],[2,4,5,8,11,12],[2,4,6,7,10,13],[2,5,7,8,10,12],[2,5,8,9,11,13],[2,6,8,9,10,11],[3,4,6,8,9,13],[3,4,7,10,11,12],[3,4,8,10,11,13],[3,5,6,7,8,10],[3,5,6,7,9,11],[4,5,6,9,10,12],[4,5,7,9,12,13]];
G[1277]:=Group([(1,8,13)(3,5,12)(4,11,6)(7,9,10)]);
# Design 1278: autom. group order 3, simple
B[1278]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,11],[1,3,5,7,8,13],[1,3,9,10,11,13],[1,4,5,11,12,13],[1,4,6,7,12,13],[1,5,6,8,10,12],[1,6,8,9,11,13],[1,7,8,9,10,12],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,7,9,11,12],[2,5,7,10,12,13],[2,6,7,8,9,13],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,10,12],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,6,9,10,13],[4,5,7,8,10,11]];
G[1278]:=Group([(1,10,13)(2,4,8)(3,11,9)(5,7,6)]);
# Design 1279: autom. group order 3, simple
B[1279]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,12],[1,4,6,9,12,13],[1,5,6,8,10,11],[1,6,7,8,9,13],[1,7,9,10,11,12],[2,3,6,8,11,12],[2,3,7,9,10,13],[2,4,5,10,12,13],[2,4,6,7,11,13],[2,5,7,8,9,11],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,12,13],[3,5,6,9,11,12],[4,5,6,7,9,10],[4,5,8,10,11,13]];
G[1279]:=Group([(1,3,12)(2,6,9)(4,5,11)(8,13,10)]);
# Design 1280: autom. group order 3, simple
B[1280]:=[[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],[1,3,8,9,12,13],[1,4,5,8,11,13],[1,4,6,9,11,12],[1,5,6,7,10,12],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,8,12,13],[2,4,7,9,10,11],[2,5,6,9,11,13],[2,5,8,9,10,12],[2,6,7,8,11,13],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,7,11,12],[3,5,8,9,10,11],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1280]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1281: autom. group order 3, simple, derived
B[1281]:=[[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],[1,3,8,11,12,13],[1,4,5,9,12,13],[1,4,6,7,12,13],[1,5,6,7,8,13],[1,6,8,9,10,12],[1,7,8,9,10,11],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,8,10,12],[2,4,8,9,11,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,6,7,9,10,13],[3,4,6,9,10,13],[3,4,6,9,11,12],[3,4,7,8,10,12],[3,5,6,7,8,9],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,7,10,11,13]];
G[1281]:=Group([(1,10,13)(2,4,8)(3,5,11)(7,12,9)]);
# Design 1282: autom. group order 3, simple, derived
B[1282]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,11],[1,3,5,9,11,13],[1,3,8,11,12,13],[1,4,5,10,12,13],[1,4,6,7,10,13],[1,5,6,8,12,13],[1,6,7,8,9,12],[1,7,8,9,10,11],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,8,9,12],[2,4,8,10,11,13],[2,5,6,7,11,12],[2,5,7,8,10,13],[2,6,9,10,12,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,10,12],[3,5,6,7,8,10],[3,5,7,10,11,12],[4,5,6,8,9,11],[4,5,7,9,11,13]];
G[1282]:=Group([(1,9,13)(2,4,8)(3,5,11)(7,12,10)]);
# Design 1283: autom. group order 3, simple
B[1283]:=[[1,2,3,4,5,6],[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],[1,3,8,9,11,12],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,6,7,10,13],[1,6,7,9,10,12],[1,7,8,10,11,13],[2,3,6,8,12,13],[2,3,7,9,10,11],[2,4,5,10,11,13],[2,4,9,10,12,13],[2,5,6,7,8,9],[2,5,7,8,12,13],[2,6,8,10,11,12],[3,4,6,7,10,12],[3,4,6,7,11,13],[3,4,8,9,10,13],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,9,11,12],[4,5,7,8,9,11]];
G[1283]:=Group([(1,4,10)(2,13,7)(3,9,6)(5,8,12)]);
# Design 1284: autom. group order 3, simple, derived
B[1284]:=[[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],[1,3,9,10,11,13],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,6,8,10,12],[1,6,7,8,9,13],[1,7,8,10,11,12],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,7,8,10],[2,4,8,9,11,12],[2,5,6,10,11,13],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,6,9,10,12],[3,4,7,10,12,13],[3,5,6,8,11,12],[3,5,7,8,9,13],[4,5,6,7,11,13],[4,5,7,9,10,11]];
G[1284]:=Group([(1,7,13)(2,5,10)(3,4,11)(6,9,8)]);
# Design 1285: autom. group order 3, simple
B[1285]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,5,7,10,13],[1,4,6,9,10,11],[1,5,6,9,12,13],[1,6,7,8,11,12],[1,7,8,9,10,13],[2,3,6,8,9,13],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,6,7,8,9],[3,4,6,10,12,13],[3,4,9,11,12,13],[3,5,6,7,11,13],[3,5,7,9,10,11],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[1285]:=Group([(1,12,13)(3,10,8)(4,7,11)(5,6,9)]);
# Design 1286: autom. group order 3, simple
B[1286]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,7,9,13],[1,4,6,8,10,13],[1,5,6,7,8,11],[1,6,8,9,10,12],[1,7,8,9,12,13],[2,3,6,7,8,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,7,10,12,13],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,9,10,11],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,6,7,10,12],[3,5,8,9,10,13],[4,5,6,8,11,12],[4,5,7,10,11,13]];
G[1286]:=Group([(1,4,11)(2,9,12)(5,6,13)(7,8,10)]);
# Design 1287: autom. group order 3, simple, derived
B[1287]:=[[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],[1,3,5,9,12,13],[1,3,7,8,10,11],[1,4,5,7,11,12],[1,4,6,8,9,12],[1,5,6,7,8,13],[1,6,8,10,11,13],[1,7,9,10,12,13],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,8,9,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,9,11,12],[3,4,6,7,9,10],[3,4,6,9,11,13],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,5,8,9,10,13]];
G[1287]:=Group([(1,8,9)(2,3,11)(4,12,6)(5,10,7)]);
# Design 1288: autom. group order 3, simple
B[1288]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,5,7,12,13],[1,4,6,8,11,13],[1,5,6,10,12,13],[1,6,7,9,10,11],[1,7,8,9,10,12],[2,3,7,10,11,13],[2,3,8,9,12,13],[2,4,5,7,10,11],[2,4,6,8,10,12],[2,5,6,8,10,13],[2,5,9,11,12,13],[2,6,7,8,11,12],[3,4,6,9,10,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,6,7,8,9],[3,5,6,7,11,12],[4,5,7,8,9,13],[4,5,8,9,10,11]];
G[1288]:=Group([(1,2,9)(3,12,7)(4,13,10)(5,11,6)]);
# Design 1289: autom. group order 3, simple
B[1289]:=[[1,2,3,4,5,6],[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],[1,3,7,8,10,13],[1,4,5,9,10,13],[1,4,6,8,11,13],[1,5,7,8,11,12],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,6,8,9,11],[2,4,5,8,12,13],[2,4,6,10,12,13],[2,5,7,8,9,13],[2,5,7,10,11,12],[2,8,9,10,11,13],[3,4,7,9,10,12],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,6,10,11,13],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[1289]:=Group([(1,4,11)(2,9,12)(3,7,5)(6,13,8)]);
# Design 1290: autom. group order 3, simple
B[1290]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,6,7,9,11],[2,3,6,8,12,13],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,7,8,9,10,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,6,8,9,13],[3,5,8,10,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[1290]:=Group([(1,5,12)(2,6,9)(3,7,11)(8,10,13)]);
# Design 1291: autom. group order 3, simple, derived
B[1291]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,13],[1,4,5,9,12,13],[1,4,6,10,11,13],[1,5,7,8,10,11],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,6,8,9,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,6,8,10,13],[2,5,6,7,11,13],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,11],[3,4,7,10,12,13],[3,4,8,9,11,12],[3,5,6,7,8,12],[3,5,6,10,11,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[1291]:=Group([(1,3,12)(2,10,6)(4,13,8)(5,11,9)]);
# Design 1292: autom. group order 3, simple
B[1292]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,5,10,11,13],[1,4,6,8,10,13],[1,5,7,8,9,10],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,7,8,9,10,11],[3,4,6,7,9,10],[3,4,7,8,11,12],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,5,6,10,11,12],[4,5,6,8,9,11],[4,5,7,9,11,13]];
G[1292]:=Group([(1,4,9)(2,11,12)(3,5,13)(6,7,8)]);
# Design 1293: autom. group order 3, simple
B[1293]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,13],[1,4,5,10,11,12],[1,4,6,7,8,9],[1,5,8,9,11,13],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,8,9,10,13],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,7,8,9,11,12],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,4,8,11,12,13],[3,5,6,7,8,11],[3,5,6,7,9,12],[4,5,6,8,10,11],[4,5,7,9,10,13]];
G[1293]:=Group([(1,7,13)(2,12,3)(4,5,8)(6,10,11)]);
# Design 1294: autom. group order 3, simple
B[1294]:=[[1,2,3,4,5,6],[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],[1,4,5,8,10,13],[1,4,6,9,12,13],[1,5,7,8,10,12],[1,6,7,10,11,12],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,7,8,9,12,13],[3,4,6,7,8,11],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,6,7,9,12],[3,5,6,8,12,13],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[1294]:=Group([(1,4,7)(2,3,8)(5,11,13)(9,10,12)]);
# Design 1295: autom. group order 3, simple
B[1295]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,9,12],[2,3,8,10,12,13],[2,4,5,7,11,13],[2,4,6,8,9,13],[2,5,6,10,11,12],[2,5,7,8,11,12],[2,8,9,10,11,13],[3,4,6,8,11,12],[3,4,7,9,10,11],[3,4,7,10,12,13],[3,5,6,7,11,13],[3,5,6,8,9,13],[4,5,6,9,10,12],[4,5,7,8,9,10]];
G[1295]:=Group([(2,7,9)(3,6,12)(4,8,11)(5,10,13)]);
# Design 1296: autom. group order 3, simple
B[1296]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,5,8,12,13],[1,4,6,10,11,13],[1,5,7,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,8,9,13],[2,3,7,8,12,13],[2,4,5,7,11,13],[2,4,6,9,10,12],[2,5,6,7,11,12],[2,5,8,10,11,12],[2,8,9,10,11,13],[3,4,6,8,11,12],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,6,8,9,13],[4,5,7,8,9,10]];
G[1296]:=Group([(2,7,9)(3,6,12)(4,8,11)(5,10,13)]);
# Design 1297: autom. group order 3, simple
B[1297]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,13],[1,4,6,9,10,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,7,12,13],[2,3,7,8,9,13],[2,4,5,8,11,12],[2,4,6,8,10,12],[2,5,6,8,9,13],[2,5,7,10,11,13],[2,7,9,10,11,12],[3,4,6,7,9,11],[3,4,8,10,11,13],[3,4,9,10,12,13],[3,5,6,8,10,11],[3,5,6,9,11,12],[4,5,6,7,12,13],[4,5,7,8,9,10]];
G[1297]:=Group([(1,6,12)(2,3,11)(4,5,9)(7,8,10)]);
# Design 1298: autom. group order 3, simple
B[1298]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,9,12,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,11,12,13],[1,4,6,7,10,13],[1,5,7,8,9,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,5,8,11,13],[2,4,6,8,10,12],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,7,9,10,11,13],[3,4,6,7,9,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,8,10,13],[3,5,6,9,10,11],[4,5,6,7,9,12],[4,5,8,9,10,12]];
G[1298]:=Group([(1,5,9)(2,3,10)(4,6,11)(7,8,13)]);
# Design 1299: autom. group order 3, simple
B[1299]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,5,9,12,13],[1,3,7,10,12,13],[1,4,5,8,11,13],[1,4,6,7,8,13],[1,5,7,8,10,12],[1,6,7,9,10,11],[1,6,8,9,11,12],[2,3,6,7,8,9],[2,3,8,10,11,13],[2,4,5,7,11,12],[2,4,6,10,12,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,7,8,9,12,13],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,4,8,9,10,11],[3,5,6,7,11,13],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,8,9,10,13]];
G[1299]:=Group([(1,2,8)(3,7,4)(5,9,13)(10,12,11)]);
# Design 1300: autom. group order 3, simple
B[1300]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,5,9,11,13],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,6,7,8,13],[1,5,7,8,10,11],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,7,8,9],[2,3,8,10,12,13],[2,4,5,7,10,11],[2,4,6,10,11,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,7,8,9,11,13],[3,4,6,9,10,13],[3,4,7,10,11,12],[3,4,8,9,11,12],[3,5,6,7,11,13],[3,5,6,8,11,12],[4,5,6,7,9,12],[4,5,8,9,10,13]];
G[1300]:=Group([(1,2,8)(3,7,4)(5,9,13)(10,11,12)]);
# Design 1301: autom. group order 3, simple
B[1301]:=[[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],[1,3,9,10,11,12],[1,4,5,10,12,13],[1,4,6,10,11,13],[1,5,7,8,9,13],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,11,12,13],[2,4,8,9,10,13],[2,5,6,7,9,12],[2,5,6,7,10,11],[2,8,9,10,11,12],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,9,11,13],[3,5,7,8,10,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[1301]:=Group([(1,9,12)(2,8,5)(3,10,11)(6,13,7)]);
# Design 1302: autom. group order 3, simple
B[1302]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,6,8,10,11],[1,5,7,8,9,12],[1,6,7,8,12,13],[1,6,9,10,11,13],[2,3,6,8,10,13],[2,3,8,11,12,13],[2,4,5,7,11,13],[2,4,7,10,12,13],[2,5,6,8,9,12],[2,5,6,10,11,12],[2,7,8,9,10,11],[3,4,6,7,9,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,7,9,10,13],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[1302]:=Group([(1,4,12)(2,9,11)(5,6,13)(7,8,10)]);
# Design 1303: autom. group order 3, simple
B[1303]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,8,10,13],[1,4,6,7,10,11],[1,5,7,8,9,12],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,7,11,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,6,9,10,12],[2,7,8,9,10,11],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,9,10,11,13]];
G[1303]:=Group([(1,4,12)(2,9,11)(5,6,13)(7,10,8)]);
# Design 1304: autom. group order 3, simple, derived
B[1304]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,7,8,10,12],[2,4,5,7,8,13],[2,4,8,9,10,11],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,7,9,10,11,13],[3,4,6,7,9,11],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,6,8,9,11],[3,5,8,10,11,12],[4,5,6,7,10,12],[4,5,8,9,12,13]];
G[1304]:=Group([(1,7,9)(2,3,11)(5,13,10)(6,12,8)]);
# Design 1305: autom. group order 3, simple
B[1305]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,7,8,13],[1,4,6,8,10,11],[1,5,7,8,9,12],[1,6,7,10,12,13],[1,6,8,9,11,13],[2,3,6,7,8,13],[2,3,8,11,12,13],[2,4,5,10,11,13],[2,4,7,10,12,13],[2,5,6,7,9,12],[2,5,6,8,11,12],[2,7,8,9,10,11],[3,4,6,7,9,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,8,9,10,13],[4,5,6,8,10,12],[4,5,7,9,11,13]];
G[1305]:=Group([(1,4,12)(2,9,11)(5,6,13)(7,8,10)]);
# Design 1306: autom. group order 3, simple
B[1306]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,5,8,10,13],[1,4,6,9,10,13],[1,5,8,10,11,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,7,8,10,13],[2,3,9,10,11,13],[2,4,5,6,12,13],[2,4,9,11,12,13],[2,5,6,7,10,11],[2,5,7,8,9,12],[2,6,8,10,12,13],[3,4,6,7,10,12],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,6,7,11,13],[3,5,6,8,9,12],[4,5,7,8,9,13],[4,5,7,9,10,11]];
G[1306]:=Group([(1,10,12)(3,13,4)(5,8,11)(6,7,9)]);
# Design 1307: autom. group order 3, simple
B[1307]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,7,12,13],[1,4,6,8,9,13],[1,5,7,8,9,10],[1,6,7,9,10,12],[1,6,8,10,11,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,8,10,13],[2,4,6,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,7,8,9,12,13],[3,4,6,7,8,12],[3,4,6,9,10,13],[3,4,7,9,10,11],[3,5,6,7,8,11],[3,5,6,9,12,13],[4,5,7,10,11,13],[4,5,8,9,11,12]];
G[1307]:=Group([(1,8,12)(2,5,6)(3,11,10)(4,9,7)]);
# Design 1308: autom. group order 3, simple, derived
B[1308]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,5,10,11,12],[1,4,7,8,12,13],[1,5,6,7,8,10],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,8,10,13],[2,4,6,10,12,13],[2,5,7,8,9,12],[2,5,7,11,12,13],[2,7,8,9,10,11],[3,4,6,7,9,12],[3,4,7,10,11,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,5,9,10,12,13],[4,5,6,7,9,11],[4,5,6,8,9,13]];
G[1308]:=Group([(1,6,11)(2,9,13)(3,4,7)(8,12,10)]);
# Design 1309: autom. group order 3, simple
B[1309]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,9,12,13],[1,4,8,9,10,13],[1,5,6,8,10,12],[1,6,7,8,11,13],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,5,7,10,13],[2,4,8,10,11,12],[2,5,6,7,12,13],[2,5,8,9,11,12],[2,7,8,9,10,13],[3,4,6,7,8,9],[3,4,6,10,12,13],[3,4,9,11,12,13],[3,5,7,8,12,13],[3,5,7,9,10,11],[4,5,6,7,9,11],[4,5,6,8,10,11]];
G[1309]:=Group([(1,2,12)(3,8,10)(4,11,7)(5,9,6)]);
# Design 1310: autom. group order 3, simple
B[1310]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,5,10,11,12],[1,4,8,10,12,13],[1,5,6,7,9,10],[1,6,7,8,10,13],[1,6,8,9,11,12],[2,3,6,10,11,12],[2,3,8,9,10,12],[2,4,5,6,8,13],[2,4,7,9,10,13],[2,5,7,11,12,13],[2,5,8,9,12,13],[2,6,7,8,10,11],[3,4,6,9,11,13],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,5,6,7,8,12],[3,5,7,10,11,13],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[1310]:=Group([(1,3,12)(2,10,4)(5,6,11)(7,9,13)]);
# Design 1311: autom. group order 3, simple, derived
B[1311]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,9,11,13],[1,3,7,8,12,13],[1,4,5,10,11,12],[1,4,8,9,12,13],[1,5,6,7,10,12],[1,6,7,8,9,10],[1,6,8,10,11,13],[2,3,6,10,12,13],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,9,10,12,13],[2,5,7,8,9,10],[2,5,7,8,11,13],[2,6,7,9,11,12],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,6,8,9,12],[4,5,7,10,11,13]];
G[1311]:=Group([(1,4,10)(2,13,6)(3,9,8)(5,12,11)]);
# Design 1312: autom. group order 3, simple
B[1312]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,13],[1,4,5,7,10,13],[1,4,8,9,10,12],[1,5,6,8,10,12],[1,6,7,9,11,12],[1,6,8,10,11,13],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,6,8,11],[2,4,9,10,11,13],[2,5,7,10,12,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,6,7,10,12],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,9,10,11],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[1312]:=Group([(1,3,12)(2,6,9)(5,13,11)(7,10,8)]);
# Design 1313: autom. group order 3, simple, derived
B[1313]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[1,4,5,8,11,13],[1,4,9,10,11,12],[1,5,6,7,10,13],[1,6,7,8,9,13],[1,6,8,10,11,12],[2,3,6,11,12,13],[2,3,7,10,11,13],[2,4,5,9,12,13],[2,4,6,7,8,10],[2,5,6,8,10,12],[2,5,8,9,10,11],[2,7,8,9,12,13],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,4,8,9,10,13],[3,5,6,7,9,11],[3,5,7,8,11,12],[4,5,6,7,9,12],[4,5,7,10,11,13]];
G[1313]:=Group([(1,2,10)(3,5,9)(4,8,12)(6,11,7)]);
# Design 1314: autom. group order 3, simple
B[1314]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,8,10,13],[1,4,7,10,11,13],[1,5,6,8,9,11],[1,6,7,8,12,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,8,11,12,13],[2,4,5,7,8,12],[2,4,6,10,11,13],[2,5,6,10,11,12],[2,5,7,9,12,13],[2,7,8,9,10,11],[3,4,6,7,9,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,7,8,11],[3,5,7,9,10,13],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[1314]:=Group([(1,4,12)(2,9,11)(5,6,13)(7,8,10)]);
# Design 1315: autom. group order 3, simple
B[1315]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,5,10,11,13],[1,4,7,8,10,13],[1,5,6,8,9,10],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,8,10,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,7,8,9,10,11],[3,4,6,7,9,10],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,8,13],[3,5,7,10,11,12],[4,5,6,7,9,11],[4,5,8,9,11,13]];
G[1315]:=Group([(1,4,9)(2,11,12)(3,5,13)(6,8,7)]);
# Design 1316: autom. group order 3, simple
B[1316]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,8,10,13],[1,4,7,8,11,13],[1,5,6,7,9,11],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,13],[2,3,7,11,12,13],[2,4,5,7,10,12],[2,4,6,10,11,13],[2,5,6,8,11,12],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,7,8,9,13],[4,5,6,7,8,12],[4,5,9,10,11,13]];
G[1316]:=Group([(1,4,12)(2,9,11)(5,6,13)(7,10,8)]);
# Design 1317: autom. group order 3, simple
B[1317]:=[[1,2,3,4,5,6],[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],[1,3,10,11,12,13],[1,4,5,8,9,13],[1,4,7,8,12,13],[1,5,6,8,10,12],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,7,8,10,11],[2,4,5,7,10,12],[2,4,6,9,11,13],[2,5,6,7,12,13],[2,5,8,11,12,13],[2,7,8,9,10,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,4,9,10,12,13],[3,5,6,7,9,13],[3,5,8,9,11,12],[4,5,6,8,10,11],[4,5,7,9,10,11]];
G[1317]:=Group([(1,2,8)(3,7,4)(5,10,13)(6,11,12)]);
# Design 1318: autom. group order 3, simple, derived
B[1318]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,6,7,9,11],[2,3,6,8,12,13],[2,4,5,8,10,12],[2,4,7,8,11,13],[2,5,6,7,12,13],[2,5,9,10,11,13],[2,6,8,9,10,13],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,9,11,12,13],[3,5,7,8,9,12],[3,5,8,10,11,12],[4,5,6,7,9,12],[4,5,6,7,10,11]];
G[1318]:=Group([(1,5,12)(2,6,9)(3,7,11)(8,10,13)]);
# Design 1319: autom. group order 3, simple, derived
B[1319]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,9,10,11,13],[1,3,5,6,12,13],[1,3,7,8,12,13],[1,4,5,7,11,13],[1,4,6,8,9,12],[1,5,7,8,10,11],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,7,11,13],[2,3,6,8,10,11],[2,4,5,10,12,13],[2,4,7,8,10,12],[2,5,6,7,8,9],[2,5,8,11,12,13],[2,6,7,9,12,13],[3,4,6,10,11,12],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,7,9,10,12],[3,5,8,9,11,12],[4,5,6,7,9,11],[4,5,6,8,10,13]];
G[1319]:=Group([(1,3,9)(2,5,10)(4,12,13)(6,7,11)]);
# Design 1320: autom. group order 3, simple
B[1320]:=[[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],[1,3,7,8,10,11],[1,4,5,9,10,13],[1,4,6,7,8,9],[1,5,7,10,12,13],[1,6,8,9,12,13],[1,6,8,10,11,13],[2,3,6,9,10,13],[2,3,8,9,12,13],[2,4,5,8,11,13],[2,4,6,8,10,12],[2,5,6,7,11,13],[2,5,7,8,10,12],[2,6,7,9,10,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,4,7,10,12,13],[3,5,6,7,8,13],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,8,9,10,11]];
G[1320]:=Group([(1,2,10)(3,9,5)(4,6,13)(8,11,12)]);
# Design 1321: autom. group order 3, simple, derived
B[1321]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,11,12,13],[1,3,5,6,11,13],[1,3,7,9,12,13],[1,4,5,8,9,13],[1,4,6,7,10,11],[1,5,8,10,11,12],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,7,8,10,13],[2,4,5,8,10,12],[2,4,9,10,11,13],[2,5,6,7,9,12],[2,5,6,8,11,13],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,6,9,10,11],[3,4,8,11,12,13],[3,5,7,8,9,11],[3,5,7,10,11,12],[4,5,6,7,12,13],[4,5,7,9,10,13]];
G[1321]:=Group([(1,4,10)(2,9,8)(3,13,12)(6,7,11)]);
# Design 1322: autom. group order 3, simple
B[1322]:=[[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],[1,3,5,6,7,13],[1,3,9,10,11,13],[1,4,5,8,9,12],[1,4,6,7,9,11],[1,5,8,10,11,13],[1,6,7,10,12,13],[1,6,8,9,10,12],[2,3,6,8,10,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,6,9,11,12],[2,6,7,8,9,13],[3,4,6,8,10,11],[3,4,6,11,12,13],[3,4,7,9,10,12],[3,5,7,8,12,13],[3,5,7,9,11,12],[4,5,6,8,9,13],[4,5,7,8,10,11]];
G[1322]:=Group([(1,9,11)(2,8,5)(3,13,10)(4,6,7)]);
# Design 1323: autom. group order 3, simple, derived
B[1323]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,5,10,11,12],[1,4,6,9,10,13],[1,5,7,8,11,12],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,10,11],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,7,8,10,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,6,7,9,10,12],[3,4,6,7,11,12],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,7,9,10,12],[3,5,8,9,11,13],[4,5,6,10,11,13],[4,5,7,8,9,10]];
G[1323]:=Group([(1,8,9)(2,7,5)(3,4,10)(6,13,12)]);
# Design 1324: autom. group order 3, simple
B[1324]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,5,8,11,12],[1,4,6,8,10,13],[1,5,7,9,12,13],[1,6,7,8,9,12],[1,6,9,10,11,13],[2,3,6,9,10,12],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,8,9,13],[2,5,6,7,11,12],[2,5,6,8,11,13],[2,6,7,8,10,12],[3,4,6,7,9,11],[3,4,6,11,12,13],[3,4,7,10,12,13],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[1324]:=Group([(1,12,13)(3,6,8)(4,10,11)(5,7,9)]);
# Design 1325: autom. group order 3, simple, derived
B[1325]:=[[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],[1,3,5,6,7,11],[1,3,8,10,11,13],[1,4,5,8,12,13],[1,4,6,9,10,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,7,8,9,13],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,6,8,9,11],[2,5,6,8,9,13],[2,5,6,10,11,13],[2,6,7,8,10,12],[3,4,6,8,10,12],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,5,6,7,12,13],[3,5,8,9,11,12],[4,5,7,8,11,13],[4,5,7,9,10,11]];
G[1325]:=Group([(1,7,13)(2,5,10)(3,4,11)(6,9,12)]);
# Design 1326: autom. group order 3, simple
B[1326]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,6,8,12],[1,3,8,10,11,13],[1,4,5,9,12,13],[1,4,7,9,10,13],[1,5,6,10,11,13],[1,6,7,8,10,12],[1,6,7,9,11,12],[2,3,6,7,9,13],[2,3,9,10,11,12],[2,4,5,10,11,12],[2,4,6,8,11,13],[2,5,6,7,10,13],[2,5,7,8,12,13],[2,6,8,9,10,12],[3,4,6,7,10,11],[3,4,6,9,12,13],[3,4,8,10,12,13],[3,5,7,8,9,11],[3,5,7,11,12,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[1326]:=Group([(1,2,12)(3,10,6)(4,11,7)(5,9,8)]);
# Design 1327: autom. group order 3, simple, derived
B[1327]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,5,8,12,13],[1,4,9,10,11,13],[1,5,6,7,10,11],[1,6,7,8,11,12],[1,6,8,9,10,12],[2,3,6,8,9,11],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,6,11,12,13],[2,5,6,8,10,12],[2,5,7,8,11,13],[2,6,7,9,10,13],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,4,7,8,10,11],[3,5,7,9,11,12],[3,5,8,9,12,13],[4,5,6,7,9,13],[4,5,8,9,10,11]];
G[1327]:=Group([(1,4,7)(2,3,8)(5,10,13)(6,11,9)]);
# Design 1328: autom. group order 3, simple, derived
B[1328]:=[[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],[1,3,5,6,8,11],[1,3,9,10,11,13],[1,4,5,7,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,11,12],[2,3,8,10,12,13],[2,4,5,8,9,13],[2,4,6,8,10,11],[2,5,6,10,12,13],[2,5,7,9,10,11],[2,6,7,8,9,13],[3,4,6,7,9,13],[3,4,6,9,10,12],[3,4,7,10,11,13],[3,5,7,8,9,12],[3,5,8,11,12,13],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[1328]:=Group([(1,10,13)(2,4,8)(3,11,9)(5,7,6)]);
# Design 1329: autom. group order 3, simple, derived
B[1329]:=[[1,2,3,4,5,6],[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],[1,3,9,10,11,13],[1,4,5,10,11,12],[1,4,7,8,10,13],[1,5,6,7,9,12],[1,6,7,8,9,11],[1,6,8,10,12,13],[2,3,6,7,10,12],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,9,10,13],[2,5,6,7,11,13],[2,5,7,8,10,11],[2,6,8,9,10,12],[3,4,6,7,10,11],[3,4,6,11,12,13],[3,4,7,8,9,12],[3,5,7,9,12,13],[3,5,8,10,11,12],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[1329]:=Group([(1,7,10)(2,5,12)(3,9,6)(4,13,8)]);
# Design 1330: autom. group order 3, simple, derived
B[1330]:=[[1,2,3,4,5,6],[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],[1,3,6,7,9,12],[1,4,5,6,11,13],[1,4,8,9,12,13],[1,5,7,9,10,11],[1,6,7,8,10,13],[1,6,8,10,11,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,8,10,13],[2,4,6,9,10,11],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,7,9,10,13],[3,4,6,7,8,10],[3,4,7,9,11,13],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,7,8,11,13],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[1330]:=Group([(1,6,9)(2,13,4)(3,7,12)(5,10,8)]);
# Design 1331: autom. group order 3, simple
B[1331]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,11],[1,4,5,6,11,13],[1,4,8,10,12,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,10,11,12],[2,4,6,9,10,13],[2,5,6,7,8,13],[2,5,7,9,11,13],[2,6,8,10,11,12],[3,4,6,7,10,13],[3,4,7,8,9,11],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,5,8,10,11,13],[4,5,6,8,9,12],[4,5,7,8,9,10]];
G[1331]:=Group([(1,4,9)(2,8,10)(3,7,5)(6,11,12)]);
# Design 1332: autom. group order 3, simple, derived
B[1332]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,7,11,12,13],[1,5,7,9,10,11],[1,6,7,8,9,13],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,8,10,11,13],[2,4,5,9,12,13],[2,4,6,8,10,11],[2,5,6,7,10,12],[2,5,7,8,12,13],[2,6,8,9,11,12],[3,4,6,7,9,11],[3,4,7,8,10,12],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,8,9,11,13],[4,5,6,10,11,13],[4,5,7,8,9,10]];
G[1332]:=Group([(1,4,10)(2,8,9)(3,7,5)(6,12,11)]);
# Design 1333: autom. group order 3, simple
B[1333]:=[[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],[1,3,6,7,10,12],[1,4,5,6,9,11],[1,4,7,10,12,13],[1,5,7,8,9,13],[1,6,8,9,10,12],[1,6,8,10,11,13],[2,3,6,9,12,13],[2,3,7,8,10,11],[2,4,5,8,10,12],[2,4,9,10,11,13],[2,5,6,7,10,13],[2,5,6,8,12,13],[2,6,7,8,9,11],[3,4,6,7,9,13],[3,4,6,8,11,12],[3,4,8,9,10,13],[3,5,7,11,12,13],[3,5,9,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[1333]:=Group([(1,2,13)(3,6,8)(4,12,11)(7,9,10)]);
# Design 1334: autom. group order 3, simple
B[1334]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,7,10,13],[1,3,6,8,12,13],[1,4,5,6,11,12],[1,4,7,8,10,12],[1,5,8,10,11,13],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,6,9,10,13],[2,5,6,7,8,12],[2,5,6,10,12,13],[2,6,7,8,10,11],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,10,11,12,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,7,8,9,13],[4,5,7,9,10,12]];
G[1334]:=Group([(1,11,13)(2,7,9)(3,6,4)(5,10,8)]);
# Design 1335: autom. group order 3, simple, derived
B[1335]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,12],[1,4,5,6,11,13],[1,4,10,11,12,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,7,11,12,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,6,9,10,12],[2,5,6,7,9,11],[2,5,6,8,10,13],[2,6,7,10,12,13],[3,4,6,7,9,13],[3,4,6,7,10,11],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,9,10,11,12],[4,5,7,8,9,12],[4,5,7,8,10,11]];
G[1335]:=Group([(1,8,13)(2,5,7)(3,4,12)(6,9,11)]);
# Design 1336: autom. group order 3, simple
B[1336]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,13],[1,4,5,6,11,13],[1,4,7,8,10,13],[1,5,7,9,10,12],[1,6,7,9,12,13],[1,6,8,10,11,12],[2,3,7,11,12,13],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,8,10,12],[2,5,6,7,8,13],[2,5,6,7,9,11],[2,6,8,9,10,11],[3,4,6,7,9,10],[3,4,6,7,11,12],[3,4,9,10,11,13],[3,5,6,10,12,13],[3,5,7,8,10,11],[4,5,7,8,9,12],[4,5,8,9,11,13]];
G[1336]:=Group([(1,4,9)(2,11,12)(3,13,7)(6,8,10)]);
# Design 1337: autom. group order 3, simple
B[1337]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,7,9,11,12],[1,3,5,8,11,13],[1,3,6,8,10,12],[1,4,5,6,12,13],[1,4,7,9,12,13],[1,5,10,11,12,13],[1,6,7,8,9,13],[1,6,7,8,10,11],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,6,10,11,13],[2,5,6,7,11,12],[2,5,6,8,9,12],[2,6,8,9,10,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,11,12],[3,5,6,7,9,11],[3,5,7,9,10,13],[4,5,7,8,10,11],[4,5,8,9,10,12]];
G[1337]:=Group([(1,3,8)(2,11,6)(4,13,10)(5,12,7)]);
# Design 1338: autom. group order 3, simple, derived
B[1338]:=[[1,2,3,4,5,6],[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],[1,3,6,8,11,13],[1,4,5,8,12,13],[1,4,6,7,9,11],[1,5,6,7,10,12],[1,6,8,9,10,13],[1,7,8,10,11,12],[2,3,6,7,12,13],[2,3,6,8,10,12],[2,4,5,10,11,13],[2,4,6,8,10,11],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,9,11,12,13],[3,4,7,8,9,13],[3,4,7,10,11,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,8,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[1338]:=Group([(1,3,9)(2,5,10)(4,11,13)(6,8,7)]);
# Design 1339: autom. group order 3, simple
B[1339]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,5,9,11,12],[1,4,6,8,9,10],[1,5,6,7,10,13],[1,6,7,9,12,13],[1,7,8,10,11,12],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,5,10,12,13],[2,4,6,8,11,13],[2,5,6,7,11,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,6,7,9,11],[3,4,7,9,10,13],[3,4,10,11,12,13],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,6,8,10,12],[4,5,7,8,9,13]];
G[1339]:=Group([(1,4,13)(2,10,6)(3,12,7)(8,11,9)]);
# Design 1340: autom. group order 3, simple
B[1340]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,5,10,11,12],[1,4,6,8,9,10],[1,5,6,7,8,13],[1,6,7,10,12,13],[1,7,8,9,11,12],[2,3,6,11,12,13],[2,3,7,8,9,12],[2,4,5,9,12,13],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,7,8,10,13],[2,6,8,9,10,11],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,4,8,10,12,13],[3,5,6,7,9,11],[3,5,8,10,11,12],[4,5,6,8,9,12],[4,5,7,9,11,13]];
G[1340]:=Group([(1,4,13)(2,9,6)(3,5,12)(8,11,10)]);
# Design 1341: autom. group order 3, simple, derived
B[1341]:=[[1,2,3,4,5,6],[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],[1,3,6,7,10,11],[1,4,5,10,11,13],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,6,7,8,9,13],[1,8,9,10,11,12],[2,3,6,9,11,13],[2,3,9,10,12,13],[2,4,5,8,12,13],[2,4,6,8,10,11],[2,5,6,7,11,12],[2,5,7,8,9,10],[2,6,7,10,12,13],[3,4,6,8,9,13],[3,4,7,8,10,12],[3,4,7,9,11,12],[3,5,6,8,11,12],[3,5,8,10,11,13],[4,5,6,7,9,10],[4,5,7,9,11,13]];
G[1341]:=Group([(1,3,7)(2,4,8)(5,12,13)(6,10,11)]);
# Design 1342: autom. group order 3, simple, derived
B[1342]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,12],[1,4,5,10,11,13],[1,4,6,9,12,13],[1,5,6,7,11,13],[1,6,8,9,10,13],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,8,12,13],[2,4,6,10,11,12],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,7,10,12,13],[3,4,6,7,9,11],[3,4,7,10,11,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,5,9,10,11,12],[4,5,6,7,8,9],[4,5,7,8,10,12]];
G[1342]:=Group([(1,8,13)(2,5,7)(3,4,12)(6,10,9)]);
# Design 1343: autom. group order 3, simple, derived
B[1343]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,5,10,11,12],[1,3,6,9,12,13],[1,4,5,8,11,13],[1,4,6,7,10,13],[1,5,6,7,8,9],[1,6,7,8,11,12],[1,8,9,10,12,13],[2,3,6,8,11,13],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,5,6,10,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,6,8,9,10],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,7,11,12],[3,5,7,8,10,13],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[1343]:=Group([(1,4,9)(2,11,12)(3,5,13)(7,10,8)]);
# Design 1344: autom. group order 3, simple
B[1344]:=[[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],[1,3,5,11,12,13],[1,3,6,7,11,12],[1,4,5,8,10,13],[1,4,6,10,11,12],[1,5,6,8,9,12],[1,6,7,9,10,13],[1,7,8,9,11,13],[2,3,6,9,12,13],[2,3,9,10,11,13],[2,4,5,7,12,13],[2,4,8,9,11,12],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,6,7,8,10,12],[3,4,6,8,9,10],[3,4,6,8,11,13],[3,4,7,10,12,13],[3,5,7,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,13],[4,5,9,10,11,12]];
G[1344]:=Group([(1,4,9)(2,11,7)(3,12,13)(5,10,6)]);
# Design 1345: autom. group order 3, simple
B[1345]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,8,9,10,11],[1,3,5,10,12,13],[1,3,6,8,10,13],[1,4,5,8,11,13],[1,4,6,9,12,13],[1,5,7,9,10,12],[1,6,7,8,11,12],[1,6,7,9,11,13],[2,3,6,9,11,13],[2,3,7,11,12,13],[2,4,5,6,11,12],[2,4,7,9,10,13],[2,5,6,8,10,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,8,9,10,11],[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[1345]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,13)]);
# Design 1346: autom. group order 3, simple
B[1346]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,8,9,10,13],[1,3,5,10,11,13],[1,3,6,8,12,13],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,5,7,9,11,12],[1,6,7,8,10,11],[1,6,7,9,11,13],[2,3,6,9,10,12],[2,3,7,11,12,13],[2,4,5,6,11,13],[2,4,7,9,10,13],[2,5,6,8,10,11],[2,5,8,9,11,12],[2,6,7,8,12,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,8,9,11,12],[3,5,6,7,10,12],[3,5,8,9,10,13],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1346]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1347: autom. group order 3, simple
B[1347]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,8,9,10,13],[1,3,5,11,12,13],[1,3,6,8,10,11],[1,4,5,8,12,13],[1,4,6,9,10,12],[1,5,7,9,10,13],[1,6,7,8,11,13],[1,6,7,9,11,12],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,5,6,11,13],[2,4,7,9,11,12],[2,5,6,8,10,12],[2,5,8,9,10,11],[2,6,7,8,12,13],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,4,8,9,12,13],[3,5,6,7,10,12],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1347]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,13,11)]);
# Design 1348: autom. group order 3, simple, derived
B[1348]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,13],[1,3,5,7,11,12],[1,3,6,7,11,13],[1,4,5,8,9,13],[1,4,6,10,11,13],[1,5,8,10,11,12],[1,6,7,9,12,13],[1,6,8,9,10,12],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,5,6,12,13],[2,4,7,10,12,13],[2,5,6,7,9,10],[2,5,8,11,12,13],[2,6,7,8,9,11],[3,4,6,8,9,12],[3,4,7,8,10,12],[3,4,9,10,11,13],[3,5,6,8,10,13],[3,5,7,9,12,13],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[1348]:=Group([(1,4,9)(2,11,12)(3,10,6)(5,13,8)]);
# Design 1349: autom. group order 3, simple, derived
B[1349]:=[[1,2,3,4,5,6],[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],[1,4,5,8,12,13],[1,4,6,7,10,12],[1,5,7,9,10,11],[1,6,7,8,9,12],[1,6,8,9,11,13],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,6,9,13],[2,4,7,8,10,13],[2,5,6,8,10,11],[2,5,7,8,9,12],[2,6,9,10,12,13],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,9,13],[4,5,6,7,11,13],[4,5,8,10,11,12]];
G[1349]:=Group([(1,9,12)(2,4,11)(5,10,13)(6,8,7)]);
# Design 1350: autom. group order 3, simple, derived
B[1350]:=[[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],[1,3,5,7,11,12],[1,3,6,10,11,13],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,8,9,10,12],[1,6,7,8,9,13],[1,6,7,10,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,5,6,7,10],[2,4,6,9,11,12],[2,5,6,8,12,13],[2,5,8,10,11,13],[2,6,7,9,10,12],[3,4,6,8,9,11],[3,4,7,10,12,13],[3,4,8,9,10,12],[3,5,6,7,9,13],[3,5,6,8,11,12],[4,5,7,8,10,11],[4,5,7,9,11,13]];
G[1350]:=Group([(1,7,13)(2,5,10)(3,4,11)(6,8,9)]);
# Design 1351: autom. group order 3, simple, derived
B[1351]:=[[1,2,3,4,5,6],[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],[1,3,6,7,9,13],[1,4,5,10,12,13],[1,4,7,10,11,13],[1,5,6,8,12,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,10,11,12],[2,3,8,10,12,13],[2,4,5,6,9,13],[2,4,6,9,11,12],[2,5,7,8,9,10],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,6,7,8,10],[3,4,8,9,11,13],[3,4,9,10,12,13],[3,5,6,7,11,13],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,7,8,9,12]];
G[1351]:=Group([(1,10,11)(2,12,5)(4,13,7)(6,8,9)]);
# Design 1352: autom. group order 3, simple
B[1352]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,11,12,13],[1,3,5,10,11,12],[1,3,6,7,12,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,6,7,10,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,9,11,13],[2,3,8,9,10,13],[2,4,5,6,8,12],[2,4,6,10,11,12],[2,5,7,8,12,13],[2,5,7,10,11,13],[2,6,7,9,10,12],[3,4,6,8,10,13],[3,4,7,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,11],[3,5,8,9,11,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[1352]:=Group([(1,6,11)(2,12,3)(4,10,5)(7,9,8)]);
# Design 1353: autom. group order 3, simple
B[1353]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,11,12,13],[1,3,5,8,11,12],[1,3,6,7,10,13],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,6,7,11,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,9,10,12,13],[2,4,5,6,10,12],[2,4,6,8,10,11],[2,5,7,8,9,13],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,8,12],[3,5,8,9,10,11],[4,5,6,8,9,13],[4,5,7,10,11,12]];
G[1353]:=Group([(2,6,12)(3,10,8)(4,7,13)(5,9,11)]);
# Design 1354: autom. group order 3, simple, derived
B[1354]:=[[1,2,3,4,5,6],[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],[1,3,6,7,8,10],[1,4,5,8,9,13],[1,4,8,10,11,13],[1,5,6,7,11,12],[1,6,7,8,9,12],[1,6,9,10,12,13],[2,3,6,9,11,13],[2,3,7,10,12,13],[2,4,5,6,10,12],[2,4,6,8,12,13],[2,5,7,8,9,13],[2,5,7,8,11,12],[2,6,8,9,10,11],[3,4,6,7,9,11],[3,4,7,9,12,13],[3,4,8,10,11,12],[3,5,6,8,11,13],[3,5,8,9,10,12],[4,5,6,7,10,13],[4,5,7,9,10,11]];
G[1354]:=Group([(1,4,11)(2,9,12)(3,7,5)(8,10,13)]);
# Design 1355: autom. group order 3, simple
B[1355]:=[[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],[1,3,5,10,12,13],[1,3,6,8,11,12],[1,4,5,8,12,13],[1,4,8,9,10,11],[1,5,6,7,9,11],[1,6,7,8,10,13],[1,6,7,9,12,13],[2,3,6,9,10,12],[2,3,8,9,11,13],[2,4,5,6,10,13],[2,4,7,9,12,13],[2,5,6,8,11,13],[2,5,7,8,11,12],[2,6,7,8,10,12],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,11,12,13],[3,5,7,10,11,13],[3,5,8,9,10,12],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[1355]:=Group([(1,3,11)(2,7,10)(5,13,9)(6,12,8)]);
# Design 1356: autom. group order 3, simple
B[1356]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,11,12,13],[1,3,5,8,11,12],[1,3,6,7,10,13],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,6,7,11,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,7,10,11,12],[2,4,5,6,10,12],[2,4,9,10,11,13],[2,5,6,8,10,13],[2,5,7,8,9,13],[2,6,7,8,9,12],[3,4,6,8,9,12],[3,4,6,9,11,13],[3,4,7,8,10,13],[3,5,7,9,12,13],[3,5,8,9,10,11],[4,5,6,7,8,11],[4,5,7,10,11,12]];
G[1356]:=Group([(2,6,12)(3,10,8)(4,7,13)(5,9,11)]);
# Design 1357: autom. group order 3, simple
B[1357]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,8,11,12,13],[1,3,5,8,11,12],[1,3,6,7,10,13],[1,4,5,9,12,13],[1,4,8,10,12,13],[1,5,6,7,11,13],[1,6,7,9,10,12],[1,6,8,9,10,11],[2,3,6,11,12,13],[2,3,9,10,11,13],[2,4,5,6,10,12],[2,4,7,10,11,12],[2,5,6,7,8,13],[2,5,8,9,10,13],[2,6,7,8,9,12],[3,4,6,8,9,11],[3,4,6,9,12,13],[3,4,7,8,10,13],[3,5,7,8,9,12],[3,5,7,10,11,12],[4,5,6,8,10,11],[4,5,7,9,11,13]];
G[1357]:=Group([(2,6,12)(3,10,8)(4,7,13)(5,9,11)]);
# Design 1358: autom. group order 3, simple
B[1358]:=[[1,2,3,4,5,6],[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],[1,3,6,7,10,12],[1,4,5,7,10,13],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,6,7,9,11,12],[1,6,8,10,12,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,6,8,12],[2,4,9,10,12,13],[2,5,6,10,11,12],[2,5,7,10,11,13],[2,6,7,8,9,10],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,4,8,10,12,13],[3,5,7,8,9,12],[3,5,8,9,10,11],[4,5,6,7,9,13],[4,5,7,8,11,12]];
G[1358]:=Group([(1,3,11)(2,6,9)(5,13,12)(7,10,8)]);
# Design 1359: autom. group order 3, simple, derived
B[1359]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,5,8,9,13],[1,4,7,8,12,13],[1,5,6,8,10,11],[1,6,7,8,9,11],[1,6,7,9,10,12],[2,3,6,8,9,12],[2,3,7,8,10,11],[2,4,5,7,10,12],[2,4,6,9,11,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,7,8,9,10,13],[3,4,6,7,11,12],[3,4,6,8,10,13],[3,4,9,10,11,13],[3,5,7,9,12,13],[3,5,8,9,11,12],[4,5,6,7,9,10],[4,5,8,10,11,12]];
G[1359]:=Group([(1,2,8)(3,7,4)(5,10,13)(6,11,12)]);
# Design 1360: autom. group order 3, simple, derived
B[1360]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,10,11],[1,3,5,9,12,13],[1,3,7,10,11,13],[1,4,5,6,8,13],[1,4,6,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,8,12],[2,3,6,9,11,13],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,7,9,12,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,4,8,10,12,13],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[1360]:=Group([(2,7,10)(3,11,8)(4,13,9)(5,12,6)]);
# Design 1361: autom. group order 3, simple, derived
B[1361]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,11],[1,4,5,6,11,13],[1,4,6,7,10,12],[1,5,7,8,12,13],[1,6,8,9,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,3,6,9,12,13],[2,4,5,8,9,13],[2,4,8,10,11,13],[2,5,6,8,11,12],[2,5,7,8,10,12],[2,6,7,9,10,13],[3,4,6,7,8,13],[3,4,8,9,10,12],[3,4,10,11,12,13],[3,5,6,8,10,11],[3,5,7,9,11,13],[4,5,6,7,9,10],[4,5,7,9,11,12]];
G[1361]:=Group([(1,9,13)(2,5,11)(3,7,10)(6,12,8)]);
# Design 1362: autom. group order 3, simple
B[1362]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,6,8,11],[1,4,6,10,12,13],[1,5,7,9,10,13],[1,6,7,8,9,12],[1,6,8,9,10,11],[2,3,6,7,9,11],[2,3,6,8,10,13],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,7,10,12],[2,5,7,8,11,12],[2,6,8,9,12,13],[3,4,6,7,9,13],[3,4,7,8,10,12],[3,4,9,10,11,12],[3,5,6,10,11,12],[3,5,8,9,11,13],[4,5,6,7,11,13],[4,5,7,8,9,10]];
G[1362]:=Group([(1,4,10)(2,8,9)(3,7,5)(6,12,13)]);
# Design 1363: autom. group order 3, simple, derived
B[1363]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,8,11,13],[1,3,9,10,12,13],[1,4,5,6,10,12],[1,4,6,7,9,13],[1,5,7,8,10,11],[1,6,7,8,10,12],[1,6,8,9,11,13],[2,3,6,7,11,12],[2,3,6,10,11,13],[2,4,5,8,12,13],[2,4,7,8,10,13],[2,5,6,8,9,13],[2,5,7,9,10,11],[2,6,8,9,10,12],[3,4,6,8,10,11],[3,4,7,9,10,13],[3,4,8,9,11,12],[3,5,6,7,12,13],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,5,10,11,12,13]];
G[1363]:=Group([(1,5,10)(2,7,6)(3,11,12)(4,9,8)]);
# Design 1364: autom. group order 3, simple
B[1364]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,5,10,11,13],[1,3,8,11,12,13],[1,4,5,6,12,13],[1,4,6,7,9,13],[1,5,7,8,9,13],[1,6,7,8,10,12],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,6,8,11,13],[2,4,5,8,10,12],[2,4,8,9,11,13],[2,5,6,7,9,11],[2,5,7,8,12,13],[2,6,9,10,12,13],[3,4,6,7,11,12],[3,4,7,8,9,10],[3,4,9,10,12,13],[3,5,6,8,9,12],[3,5,7,9,11,12],[4,5,6,8,10,11],[4,5,7,10,11,13]];
G[1364]:=Group([(1,10,13)(2,4,8)(3,5,11)(7,12,9)]);
# Design 1365: autom. group order 3, simple, derived
B[1365]:=[[1,2,3,4,5,6],[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],[1,3,10,11,12,13],[1,4,5,6,8,13],[1,4,6,7,12,13],[1,5,7,9,10,13],[1,6,7,8,9,11],[1,6,8,9,10,12],[2,3,6,7,9,12],[2,3,6,8,10,13],[2,4,5,9,11,13],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,7,8,11,12],[2,6,8,9,11,13],[3,4,6,9,10,11],[3,4,7,8,10,11],[3,4,7,9,12,13],[3,5,6,7,11,13],[3,5,8,9,12,13],[4,5,6,10,11,12],[4,5,7,8,9,10]];
G[1365]:=Group([(1,4,10)(2,8,9)(3,7,5)(6,11,13)]);
# Design 1366: autom. group order 3, simple
B[1366]:=[[1,2,3,4,5,6],[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],[1,3,9,10,12,13],[1,4,5,6,11,13],[1,4,6,7,9,10],[1,5,7,8,10,13],[1,6,7,8,11,12],[1,6,8,9,12,13],[2,3,6,7,11,13],[2,3,8,9,11,13],[2,4,5,8,12,13],[2,4,7,8,10,12],[2,5,6,7,9,12],[2,5,6,10,12,13],[2,6,8,9,10,11],[3,4,6,8,10,13],[3,4,6,10,11,12],[3,4,7,9,12,13],[3,5,6,7,8,9],[3,5,7,10,11,12],[4,5,7,9,11,13],[4,5,8,9,10,11]];
G[1366]:=Group([(1,4,9)(2,11,12)(3,5,13)(6,7,10)]);
# Design 1367: autom. group order 3, simple
B[1367]:=[[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],[1,3,5,7,12,13],[1,3,8,10,12,13],[1,4,5,6,12,13],[1,4,9,10,11,13],[1,5,6,8,9,11],[1,6,7,8,11,12],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,6,10,11,12],[2,4,5,11,12,13],[2,4,6,8,10,13],[2,5,7,8,11,13],[2,5,7,9,10,12],[2,6,7,9,12,13],[3,4,6,9,11,12],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,8,9,11,13],[4,5,6,7,8,10],[4,5,8,9,10,12]];
G[1367]:=Group([(1,11,13)(2,3,6)(4,10,9)(5,12,8)]);
# Design 1368: autom. group order 3, simple
B[1368]:=[[1,2,3,4,5,6],[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],[1,3,7,8,11,13],[1,4,5,6,8,10],[1,4,8,9,12,13],[1,5,6,7,12,13],[1,6,7,9,10,11],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,3,7,8,10,13],[2,4,5,10,11,13],[2,4,6,7,12,13],[2,5,6,7,9,13],[2,5,8,9,11,13],[2,6,8,10,11,12],[3,4,6,7,9,11],[3,4,6,10,11,13],[3,4,9,10,12,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,7,8,9,11],[4,5,7,8,10,12]];
G[1368]:=Group([(1,5,11)(3,13,12)(4,9,10)(6,8,7)]);
# Design 1369: autom. group order 3, simple
B[1369]:=[[1,2,3,4,5,6],[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],[1,3,8,9,11,13],[1,4,5,6,8,13],[1,4,7,8,10,12],[1,5,6,7,11,12],[1,6,7,10,11,13],[1,6,8,9,10,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,6,7,8,9],[2,5,7,8,11,12],[2,6,8,9,11,13],[3,4,6,7,9,11],[3,4,6,8,10,11],[3,4,7,9,12,13],[3,5,6,9,10,12],[3,5,7,8,10,13],[4,5,7,9,10,11],[4,5,8,9,12,13]];
G[1369]:=Group([(1,4,11)(2,9,12)(3,7,5)(8,10,13)]);
# Design 1370: autom. group order 3, simple
B[1370]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,13],[1,3,5,9,11,13],[1,3,8,10,11,12],[1,4,5,10,12,13],[1,4,6,7,9,13],[1,5,6,8,12,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,7,12,13],[2,3,6,9,11,12],[2,4,5,6,8,10],[2,4,10,11,12,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,8,9,10,13],[3,4,6,8,11,13],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,7,8,12,13],[4,5,6,9,11,12],[4,5,7,8,9,11]];
G[1370]:=Group([(1,5,7)(2,12,10)(3,8,6)(4,13,11)]);
# Design 1371: autom. group order 3, simple, derived
B[1371]:=[[1,2,3,4,5,6],[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],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,6,10,11,13],[2,4,5,7,8,13],[2,4,8,9,10,12],[2,5,6,7,9,11],[2,5,6,8,12,13],[2,7,9,10,12,13],[3,4,6,7,9,12],[3,4,6,9,10,13],[3,4,7,11,12,13],[3,5,7,8,9,10],[3,5,8,10,11,12],[4,5,6,7,10,11],[4,5,8,9,11,13]];
G[1371]:=Group([(1,7,9)(2,3,12)(5,13,10)(6,11,8)]);
# Design 1372: autom. group order 3, simple
B[1372]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,5,7,11,12],[1,3,8,10,12,13],[1,4,5,10,12,13],[1,4,6,9,10,13],[1,5,6,7,8,13],[1,6,7,8,10,11],[1,6,8,9,11,12],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,6,8,11],[2,4,7,8,10,12],[2,5,6,10,11,13],[2,5,8,9,12,13],[2,6,7,9,10,12],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,5,7,9,10,11],[4,5,7,8,9,10],[4,5,7,11,12,13]];
G[1372]:=Group([(1,8,9)(2,7,5)(3,4,10)(6,12,11)]);
# Design 1373: autom. group order 3, simple
B[1373]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,12],[1,4,5,8,11,13],[1,4,6,8,10,13],[1,5,6,7,8,12],[1,6,7,9,12,13],[1,6,8,9,10,11],[2,3,6,7,8,13],[2,3,8,11,12,13],[2,4,5,6,10,12],[2,4,7,10,11,13],[2,5,6,9,11,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,6,7,9,11],[3,4,6,9,12,13],[3,4,8,9,10,12],[3,5,6,7,10,11],[3,5,8,9,10,13],[4,5,7,8,9,11],[4,5,7,10,12,13]];
G[1373]:=Group([(1,4,12)(2,9,11)(5,6,13)(7,8,10)]);
# Design 1374: autom. group order 3, simple
B[1374]:=[[1,2,3,4,5,6],[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],[1,4,5,7,8,13],[1,4,6,9,10,12],[1,5,6,7,9,11],[1,6,7,8,11,12],[1,6,8,9,10,13],[2,3,6,10,11,13],[2,3,7,8,9,12],[2,4,5,6,12,13],[2,4,8,10,11,12],[2,5,6,7,8,10],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,4,7,9,11,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,7,10,12,13],[4,5,8,9,10,11]];
G[1374]:=Group([(1,9,13)(2,7,5)(3,12,4)(6,8,10)]);
# Design 1375: autom. group order 3, simple, derived
B[1375]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,8,11,13],[1,3,7,8,9,12],[1,4,5,7,10,13],[1,4,6,9,11,13],[1,5,6,8,10,12],[1,6,7,10,12,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,5,10,11,12],[2,4,6,7,8,13],[2,5,6,7,9,12],[2,5,6,8,9,13],[2,7,8,9,10,11],[3,4,6,7,9,10],[3,4,6,8,11,12],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,7,9,11,13],[4,5,7,8,10,11],[4,5,8,9,12,13]];
G[1375]:=Group([(1,10,11)(2,13,5)(4,12,7)(6,8,9)]);
# Design 1376: autom. group order 3, simple, derived
B[1376]:=[[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],[1,3,5,10,11,12],[1,3,6,8,12,13],[1,4,7,10,11,12],[1,4,8,9,12,13],[1,5,6,7,10,13],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,7,8,12],[2,3,9,10,12,13],[2,4,5,8,10,13],[2,4,5,11,12,13],[2,5,7,8,9,11],[2,6,7,9,10,12],[2,6,8,10,11,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,7,11,13],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,5,6,8,10,12]];
G[1376]:=Group([(1,7,9)(2,4,10)(5,8,13)(6,11,12)]);
# Design 1377: autom. group order 3, simple
B[1377]:=[[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],[1,3,7,9,10,12],[1,4,6,7,9,11],[1,4,6,8,10,13],[1,5,6,8,12,13],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,6,8,10,12],[2,3,7,8,11,13],[2,4,5,7,10,12],[2,4,5,8,9,13],[2,5,9,10,11,13],[2,6,7,8,10,11],[2,6,7,9,12,13],[3,4,6,9,10,13],[3,4,8,9,11,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,6,8,9,11],[4,5,6,7,10,11],[4,5,7,8,9,12]];
G[1377]:=Group([(1,2,9)(3,5,10)(4,13,7)(6,11,12)]);
# Design 1378: autom. group order 3, simple
B[1378]:=[[1,2,3,4,5,6],[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],[1,3,9,10,11,12],[1,4,6,7,9,13],[1,4,6,8,10,12],[1,5,7,8,10,13],[1,5,8,9,11,13],[1,6,7,8,11,12],[2,3,6,8,9,13],[2,3,8,11,12,13],[2,4,5,7,10,11],[2,4,5,8,12,13],[2,5,6,7,11,12],[2,6,7,8,9,10],[2,7,9,10,12,13],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,6,9,11,13],[4,5,8,9,10,12]];
G[1378]:=Group([(1,2,13)(3,8,5)(4,12,7)(6,11,10)]);
# Design 1379: autom. group order 3, simple
B[1379]:=[[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],[1,3,9,10,11,12],[1,4,6,7,10,12],[1,4,8,9,12,13],[1,5,6,10,11,13],[1,5,7,8,10,13],[1,6,7,9,11,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,5,10,12,13],[2,5,6,7,11,12],[2,6,7,8,9,10],[2,8,9,10,11,12],[3,4,6,8,10,11],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,9,12],[3,5,7,8,9,13],[4,5,6,8,9,10],[4,5,7,8,11,12]];
G[1379]:=Group([(1,10,12)(2,8,5)(3,9,11)(4,6,7)]);
# Design 1380: autom. group order 3, simple
B[1380]:=[[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],[1,3,5,8,11,13],[1,3,9,10,11,13],[1,4,6,8,10,13],[1,4,7,10,12,13],[1,5,6,9,12,13],[1,5,7,8,10,12],[1,6,7,9,11,12],[2,3,6,8,12,13],[2,3,7,10,12,13],[2,4,5,9,12,13],[2,4,5,10,11,12],[2,5,6,7,11,13],[2,6,7,8,9,10],[2,8,9,10,11,13],[3,4,6,7,9,13],[3,4,6,10,11,12],[3,4,8,9,11,12],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,6,8,9,10],[4,5,7,8,11,13]];
G[1380]:=Group([(1,10,11)(2,8,5)(3,9,13)(4,6,7)]);
# Design 1381: autom. group order 3, simple, derived
B[1381]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,6,8,10,11],[1,4,7,9,12,13],[1,5,6,9,10,12],[1,5,7,10,11,12],[1,6,7,8,9,13],[2,3,6,9,10,13],[2,3,7,9,11,12],[2,4,5,7,10,13],[2,4,5,8,12,13],[2,5,6,8,11,12],[2,6,7,8,10,12],[2,8,9,10,11,13],[3,4,6,7,10,11],[3,4,6,8,9,12],[3,4,10,11,12,13],[3,5,6,7,12,13],[3,5,7,8,9,11],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[1381]:=Group([(1,2,10)(3,9,5)(4,13,12)(7,8,11)]);
# Design 1382: autom. group order 3, simple
B[1382]:=[[1,2,3,4,5,6],[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],[1,3,7,10,11,13],[1,4,6,8,10,12],[1,4,8,9,10,13],[1,5,6,7,9,12],[1,5,7,8,12,13],[1,6,7,8,9,11],[2,3,6,9,12,13],[2,3,7,8,9,11],[2,4,5,7,10,12],[2,4,5,8,11,13],[2,5,6,7,8,13],[2,6,7,10,11,12],[2,8,9,10,12,13],[3,4,6,7,10,13],[3,4,6,8,11,12],[3,4,7,9,12,13],[3,5,6,8,9,10],[3,5,8,10,11,12],[4,5,6,9,11,13],[4,5,7,9,10,11]];
G[1382]:=Group([(1,11,12)(2,4,9)(3,5,13)(7,10,8)]);
# Design 1383: autom. group order 3, simple, derived
B[1383]:=[[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],[1,3,5,11,12,13],[1,3,7,9,12,13],[1,4,6,7,10,12],[1,4,8,9,10,13],[1,5,6,8,9,12],[1,5,7,8,10,11],[1,6,9,10,11,13],[2,3,7,10,11,13],[2,3,8,9,10,12],[2,4,5,6,10,13],[2,4,5,9,11,12],[2,5,7,8,9,13],[2,6,7,9,11,12],[2,6,8,10,12,13],[3,4,6,7,9,13],[3,4,6,8,9,11],[3,4,8,10,11,12],[3,5,6,7,10,12],[3,5,6,8,11,13],[4,5,7,8,12,13],[4,5,7,9,10,11]];
G[1383]:=Group([(1,8,12)(2,3,11)(5,6,9)(7,10,13)]);
# Design 1384: autom. group order 3, simple
B[1384]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,6,8,9,13],[1,4,7,8,10,12],[1,5,6,8,11,12],[1,5,7,9,12,13],[1,6,9,10,11,13],[2,3,6,9,10,12],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,5,10,12,13],[2,5,6,7,11,12],[2,6,7,8,9,12],[2,6,7,8,10,13],[3,4,6,7,10,11],[3,4,6,11,12,13],[3,4,7,9,12,13],[3,5,7,8,9,11],[3,5,8,10,12,13],[4,5,6,8,9,10],[4,5,7,9,10,11]];
G[1384]:=Group([(1,2,12)(3,6,8)(4,9,11)(5,7,10)]);
# Design 1385: autom. group order 3, simple
B[1385]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,9,11],[1,2,9,10,12,13],[1,3,5,7,11,12],[1,3,6,8,10,12],[1,4,6,10,11,13],[1,4,8,10,11,12],[1,5,6,7,12,13],[1,5,6,8,9,13],[1,7,8,9,11,13],[2,3,6,9,11,13],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,5,11,12,13],[2,5,6,8,11,12],[2,6,7,8,10,11],[2,6,7,9,10,12],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,4,8,9,12,13],[3,5,7,10,11,13],[3,5,8,9,10,11],[4,5,6,7,8,9],[4,5,7,9,10,12]];
G[1385]:=Group([(1,5,9)(2,3,10)(4,11,12)(6,8,13)]);
# Design 1386: autom. group order 3, simple, derived
B[1386]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,8,11,13],[1,3,6,9,12,13],[1,4,6,7,10,12],[1,4,7,8,10,13],[1,5,6,7,9,11],[1,5,6,8,10,12],[1,8,9,10,11,13],[2,3,6,10,11,13],[2,3,7,10,11,12],[2,4,5,8,12,13],[2,4,5,9,10,13],[2,5,6,7,8,11],[2,6,7,8,9,13],[2,6,8,9,10,12],[3,4,6,7,9,13],[3,4,6,8,10,11],[3,4,8,9,11,12],[3,5,7,8,9,12],[3,5,7,10,12,13],[4,5,6,11,12,13],[4,5,7,9,10,11]];
G[1386]:=Group([(1,5,6)(2,7,10)(3,11,12)(4,9,8)]);
# Design 1387: autom. group order 3, simple
B[1387]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,7,9],[1,2,4,10,11,12],[1,2,8,9,10,11],[1,3,5,10,12,13],[1,3,6,8,10,13],[1,4,6,9,12,13],[1,4,8,9,11,13],[1,5,6,7,11,13],[1,5,7,9,10,12],[1,6,7,8,11,12],[2,3,6,9,11,13],[2,3,7,11,12,13],[2,4,5,6,11,12],[2,4,5,8,10,13],[2,5,8,9,12,13],[2,6,7,8,10,12],[2,6,7,9,10,13],[3,4,6,9,10,12],[3,4,7,8,12,13],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,8,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1387]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,11,13)]);
# Design 1388: autom. group order 3, simple, derived
B[1388]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,5,10,11,12],[1,3,6,8,11,13],[1,4,6,7,10,12],[1,4,8,9,12,13],[1,5,6,7,10,13],[1,5,7,8,9,13],[1,6,8,9,10,11],[2,3,6,7,8,12],[2,3,9,10,12,13],[2,4,5,6,11,13],[2,4,5,8,10,13],[2,5,7,8,9,11],[2,6,7,9,10,11],[2,6,8,10,12,13],[3,4,6,9,11,13],[3,4,7,8,10,11],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,5,7,11,12,13],[4,5,6,7,9,12],[4,5,8,10,11,12]];
G[1388]:=Group([(1,7,9)(2,4,10)(5,8,13)(6,11,12)]);
# Design 1389: autom. group order 3, simple, derived
B[1389]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,13],[1,4,6,10,11,13],[1,4,7,8,12,13],[1,5,6,7,9,11],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,6,8,11,12],[2,3,7,11,12,13],[2,4,5,6,8,13],[2,4,5,7,10,12],[2,5,8,9,11,13],[2,6,7,10,11,13],[2,6,8,9,10,12],[3,4,6,7,9,11],[3,4,8,9,10,11],[3,4,9,10,12,13],[3,5,6,7,10,12],[3,5,7,8,9,13],[4,5,6,9,12,13],[4,5,7,8,10,11]];
G[1389]:=Group([(1,9,12)(2,4,11)(5,10,13)(6,8,7)]);
# Design 1390: autom. group order 3, simple, derived
B[1390]:=[[1,2,3,4,5,6],[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],[1,3,6,7,10,13],[1,4,6,8,12,13],[1,4,7,8,9,10],[1,5,6,7,10,12],[1,5,8,10,11,12],[1,6,8,9,11,13],[2,3,7,8,11,12],[2,3,8,10,12,13],[2,4,5,6,8,13],[2,4,5,10,11,13],[2,5,6,7,9,12],[2,6,7,10,11,13],[2,6,8,9,10,12],[3,4,6,7,11,12],[3,4,6,9,10,11],[3,4,9,10,12,13],[3,5,6,8,9,11],[3,5,7,8,9,13],[4,5,7,8,10,11],[4,5,7,9,12,13]];
G[1390]:=Group([(2,5,11)(3,12,9)(4,10,13)(6,8,7)]);
# Design 1391: autom. group order 3, simple
B[1391]:=[[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],[1,3,8,9,10,12],[1,4,6,8,10,11],[1,4,6,9,12,13],[1,5,6,7,10,11],[1,5,6,7,12,13],[1,7,8,9,10,13],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,7,10,13],[2,4,5,8,9,12],[2,5,9,10,11,13],[2,6,7,8,9,11],[2,6,8,10,12,13],[3,4,6,9,10,13],[3,4,7,9,11,13],[3,4,7,10,11,12],[3,5,6,9,11,12],[3,5,7,8,12,13],[4,5,6,7,8,9],[4,5,8,10,11,12]];
G[1391]:=Group([(1,2,10)(3,5,9)(4,13,8)(6,11,12)]);
# Design 1392: autom. group order 3, simple
B[1392]:=[[1,2,3,4,5,6],[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],[1,3,7,8,10,12],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,9,10,13],[1,5,7,8,11,13],[1,6,8,9,10,12],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,6,8,13],[2,4,5,7,10,12],[2,5,8,10,11,12],[2,6,7,8,9,11],[2,6,7,10,12,13],[3,4,6,9,11,12],[3,4,7,9,10,13],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,6,7,11,12],[4,5,7,9,12,13],[4,5,8,9,10,11]];
G[1392]:=Group([(1,10,11)(2,12,3)(4,7,6)(8,13,9)]);
# Design 1393: autom. group order 3, simple, derived
B[1393]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,13],[1,4,6,7,12,13],[1,4,8,10,11,12],[1,5,6,8,9,13],[1,5,6,10,11,13],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,6,11,12,13],[2,4,5,8,10,13],[2,4,5,9,12,13],[2,5,6,7,8,12],[2,6,7,9,10,12],[2,7,8,9,11,13],[3,4,6,7,9,10],[3,4,6,9,11,13],[3,4,8,10,12,13],[3,5,7,10,12,13],[3,5,8,9,11,12],[4,5,6,7,8,11],[4,5,7,9,10,11]];
G[1393]:=Group([(1,6,12)(2,11,5)(4,13,7)(8,9,10)]);
# Design 1394: autom. group order 3, simple, derived
B[1394]:=[[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],[1,3,6,8,12,13],[1,4,8,9,10,12],[1,4,10,11,12,13],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,6,7,9,11,13],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,11,13],[2,4,6,8,12,13],[2,5,6,8,11,12],[2,5,8,9,10,13],[2,6,7,9,10,12],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,8,10,11],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,6,7,10,13],[4,5,7,8,9,12]];
G[1394]:=Group([(1,3,11)(2,8,9)(4,7,6)(5,10,13)]);
# Design 1395: autom. group order 3, simple
B[1395]:=[[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],[1,3,6,10,12,13],[1,4,7,9,10,13],[1,4,8,10,11,12],[1,5,6,7,9,12],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,7,10,11,12],[2,3,8,9,10,13],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,9,11,12,13],[3,4,5,7,12,13],[3,4,6,8,9,12],[3,4,6,8,11,13],[3,5,7,8,9,11],[3,6,7,9,10,11],[4,5,6,7,10,11],[4,5,8,9,10,12]];
G[1395]:=Group([(1,7,12)(2,11,8)(3,10,4)(5,6,9)]);
# Design 1396: autom. group order 3, simple, derived
B[1396]:=[[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],[1,3,5,7,11,13],[1,3,8,9,10,13],[1,4,6,10,11,12],[1,4,7,9,12,13],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,9,10,12],[2,3,6,8,12,13],[2,3,7,10,11,12],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,6,9,11,13],[2,5,7,9,10,12],[2,6,7,8,9,13],[3,4,5,8,9,12],[3,4,6,7,10,13],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,6,7,9,10,11],[4,5,6,7,8,10],[4,5,7,8,9,11]];
G[1396]:=Group([(1,2,10)(3,5,9)(4,12,8)(6,7,13)]);
# Design 1397: autom. group order 3, simple
B[1397]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,7,10,12,13],[1,5,6,8,10,12],[1,5,7,8,9,13],[1,6,8,9,11,12],[2,3,6,8,10,13],[2,3,7,9,10,12],[2,4,5,8,9,11],[2,4,8,9,12,13],[2,5,6,7,12,13],[2,5,10,11,12,13],[2,6,7,8,10,11],[3,4,5,8,12,13],[3,4,6,7,11,13],[3,4,9,10,11,12],[3,5,6,9,11,13],[3,6,7,8,9,12],[4,5,6,7,9,10],[4,5,7,8,10,11]];
G[1397]:=Group([(1,3,12)(2,9,6)(4,10,8)(5,7,11)]);
# Design 1398: autom. group order 3, simple, derived
B[1398]:=[[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],[1,3,5,7,8,12],[1,3,10,11,12,13],[1,4,6,8,10,13],[1,4,7,9,11,12],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,7,8,11,13],[2,3,6,10,11,12],[2,3,7,9,11,13],[2,4,5,8,12,13],[2,4,8,10,11,12],[2,5,6,7,10,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,11,13],[3,4,6,9,12,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,6,7,8,9,10],[4,5,6,7,10,11],[4,5,7,9,10,12]];
G[1398]:=Group([(1,7,12)(2,5,11)(3,4,10)(8,9,13)]);
# Design 1399: autom. group order 3, simple
B[1399]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,6,8,9,12],[1,4,8,10,11,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,6,7,9,10,11],[2,3,6,8,11,13],[2,3,9,10,11,12],[2,4,5,7,12,13],[2,4,7,8,9,10],[2,5,6,8,10,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,9,12,13],[3,5,6,7,8,9],[3,6,7,8,11,12],[4,5,6,9,11,13],[4,5,7,8,10,11]];
G[1399]:=Group([(1,4,8)(2,10,12)(3,11,9)(6,7,13)]);
# Design 1400: autom. group order 3, simple
B[1400]:=[[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],[1,3,5,8,12,13],[1,3,7,8,10,11],[1,4,6,11,12,13],[1,4,8,9,10,12],[1,5,6,7,10,13],[1,5,9,10,11,13],[1,6,7,8,9,12],[2,3,6,10,12,13],[2,3,7,9,12,13],[2,4,5,8,11,13],[2,4,7,9,10,13],[2,5,6,8,9,12],[2,5,8,10,11,12],[2,6,7,8,10,11],[3,4,5,7,11,12],[3,4,6,8,10,13],[3,4,9,10,11,12],[3,5,6,7,9,11],[3,6,8,9,11,13],[4,5,6,7,10,12],[4,5,7,8,9,13]];
G[1400]:=Group([(1,8,13)(3,5,12)(4,11,7)(6,10,9)]);
# Design 1401: autom. group order 3, simple, derived
B[1401]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,6,9,12,13],[1,4,9,10,11,13],[1,5,6,8,10,11],[1,5,7,9,10,12],[1,6,7,8,10,13],[2,3,6,10,12,13],[2,3,7,10,11,13],[2,4,5,8,10,12],[2,4,7,8,9,11],[2,5,6,7,9,13],[2,5,8,9,12,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,12],[3,6,8,9,11,12],[4,5,6,7,8,13],[4,5,7,10,11,12]];
G[1401]:=Group([(1,8,12)(2,11,5)(3,9,7)(4,6,10)]);
# Design 1402: autom. group order 3, simple, derived
B[1402]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,12],[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],[2,3,7,8,10,13],[2,4,5,7,12,13],[2,4,8,9,10,12],[2,5,6,8,10,13],[2,5,7,8,11,12],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,6,7,8,11,12],[4,5,6,7,9,13],[4,5,7,9,10,11]];
G[1402]:=Group([(1,7,11)(2,4,9)(3,5,13)(8,10,12)]);
# Design 1403: autom. group order 3, simple, derived
B[1403]:=[[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],[1,3,5,7,12,13],[1,3,8,9,12,13],[1,4,6,7,10,12],[1,4,8,10,11,12],[1,5,6,8,11,13],[1,5,7,8,9,10],[1,6,7,9,11,13],[2,3,6,8,12,13],[2,3,7,8,10,11],[2,4,5,8,11,13],[2,4,7,9,12,13],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,9,11,12],[3,4,6,9,10,13],[3,4,7,10,11,13],[3,5,6,10,11,12],[3,6,7,8,9,11],[4,5,6,7,8,12],[4,5,8,9,10,13]];
G[1403]:=Group([(1,3,11)(2,7,6)(4,8,9)(5,10,13)]);
# Design 1404: autom. group order 3, simple, derived
B[1404]:=[[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],[1,3,6,8,11,12],[1,4,6,7,10,13],[1,4,6,9,10,12],[1,5,7,10,11,13],[1,5,8,9,11,13],[1,7,8,9,10,12],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,5,8,9,10],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,10,11,12],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,7,8,10,13],[3,4,7,9,11,12],[3,5,6,7,9,13],[3,6,8,9,10,11],[4,5,6,7,8,11],[4,5,6,9,12,13]];
G[1404]:=Group([(1,7,11)(2,9,6)(4,12,8)(5,13,10)]);
# Design 1405: autom. group order 3, simple, derived
B[1405]:=[[1,2,3,4,5,6],[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],[1,4,6,7,8,12],[1,4,6,9,10,11],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,5,7,9,10],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,7,8,11],[3,6,7,9,11,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1405]:=Group([(1,8,13)(3,10,6)(4,11,7)(5,12,9)]);
# Design 1406: autom. group order 3, simple
B[1406]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,12],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,7,9,10,11,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,5,7,8,9,12],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,11,12,13],[3,4,7,9,10,11],[3,4,8,9,10,13],[3,5,6,9,11,12],[3,6,7,8,11,13],[4,5,6,7,8,9],[4,5,6,7,10,12]];
G[1406]:=Group([(1,8,13)(3,10,6)(4,12,9)(5,11,7)]);
# Design 1407: autom. group order 3, simple
B[1407]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,13],[1,4,6,8,9,12],[1,4,9,10,12,13],[1,5,6,7,10,12],[1,5,7,8,11,13],[1,7,8,9,10,11],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,9,11,13],[2,4,6,8,10,11],[2,5,7,8,9,12],[2,5,8,10,12,13],[2,6,7,9,10,13],[3,4,5,7,9,10],[3,4,7,10,11,13],[3,4,8,9,12,13],[3,5,6,8,9,11],[3,6,7,9,11,12],[4,5,6,7,8,13],[4,5,6,10,11,12]];
G[1407]:=Group([(1,8,13)(3,10,6)(4,12,9)(5,11,7)]);
# Design 1408: autom. group order 3, simple, derived
B[1408]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,13],[1,4,6,8,10,12],[1,4,7,8,9,13],[1,5,6,8,11,13],[1,5,7,10,12,13],[1,8,9,10,11,12],[2,3,6,8,12,13],[2,3,7,8,10,11],[2,4,5,9,10,13],[2,4,6,10,11,12],[2,5,7,8,9,12],[2,5,8,10,11,13],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,7,10,12,13],[3,4,8,9,11,13],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,6,7,8,10],[4,5,6,7,9,11]];
G[1408]:=Group([(1,5,9)(2,10,3)(4,13,6)(7,8,11)]);
# Design 1409: autom. group order 3, simple
B[1409]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,6,9,12,13],[1,3,5,7,12,13],[1,3,6,7,8,11],[1,4,6,7,10,12],[1,4,9,11,12,13],[1,5,6,8,11,13],[1,5,8,10,11,12],[1,7,8,9,10,13],[2,3,6,11,12,13],[2,3,8,10,12,13],[2,4,5,7,11,12],[2,4,6,8,10,13],[2,5,7,8,9,12],[2,5,7,10,11,13],[2,6,7,8,9,11],[3,4,5,8,9,13],[3,4,7,9,11,13],[3,4,8,10,11,12],[3,5,6,9,10,11],[3,6,7,9,10,12],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[1409]:=Group([(1,7,13)(3,5,12)(4,11,6)(8,10,9)]);
# Design 1410: autom. group order 3, simple
B[1410]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,7,9,10],[1,4,8,10,11,12],[1,5,6,7,12,13],[1,5,8,9,11,12],[1,7,8,9,10,13],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,5,9,12,13],[2,4,8,9,10,13],[2,5,6,8,10,11],[2,5,7,10,11,13],[2,6,7,8,12,13],[3,4,5,7,8,13],[3,4,6,10,11,13],[3,4,9,11,12,13],[3,5,7,9,10,12],[3,6,7,8,9,11],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[1410]:=Group([(1,2,11)(3,10,8)(4,7,12)(6,13,9)]);
# Design 1411: autom. group order 3, simple
B[1411]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,13],[1,4,6,8,12,13],[1,4,7,9,10,13],[1,5,6,8,10,11],[1,5,7,10,11,12],[1,8,9,10,12,13],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,7,8,10,11],[2,5,6,8,10,13],[2,5,7,9,11,13],[2,6,7,8,9,12],[3,4,5,11,12,13],[3,4,6,7,10,13],[3,4,8,9,10,11],[3,5,7,8,9,13],[3,6,7,10,11,12],[4,5,6,7,9,12],[4,5,6,8,9,11]];
G[1411]:=Group([(1,11,12)(2,4,9)(3,8,6)(5,10,7)]);
# Design 1412: autom. group order 3, simple, derived
B[1412]:=[[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],[1,3,6,11,12,13],[1,4,6,7,9,13],[1,4,8,10,12,13],[1,5,6,7,10,12],[1,5,8,9,12,13],[1,7,8,9,10,11],[2,3,6,8,9,12],[2,3,7,10,12,13],[2,4,5,8,11,12],[2,4,9,11,12,13],[2,5,6,8,10,13],[2,5,7,10,11,13],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,7,9,11,12],[3,6,8,9,10,11],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[1412]:=Group([(1,2,13)(3,10,8)(4,7,12)(6,11,9)]);
# Design 1413: autom. group order 3, simple, derived
B[1413]:=[[1,2,3,4,5,6],[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],[1,4,9,10,11,13],[1,5,6,7,8,11],[1,5,8,9,12,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,5,7,9,10],[3,4,6,8,9,11],[3,4,7,8,12,13],[3,5,7,10,11,13],[3,6,7,9,11,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1413]:=Group([(1,8,13)(3,10,6)(4,11,7)(5,12,9)]);
# Design 1414: autom. group order 3, simple, derived
B[1414]:=[[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],[1,3,6,10,11,12],[1,4,6,7,10,12],[1,4,8,9,11,13],[1,5,6,8,9,12],[1,5,7,10,11,13],[1,7,8,9,10,13],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,7,8,10],[2,4,9,10,11,12],[2,5,6,9,10,13],[2,5,7,8,11,12],[2,6,8,10,12,13],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,5,7,9,11,12],[3,6,7,8,10,11],[4,5,6,7,12,13],[4,5,6,8,9,11]];
G[1414]:=Group([(1,9,11)(2,7,6)(4,13,8)(5,12,10)]);
# Design 1415: autom. group order 3, simple
B[1415]:=[[1,2,3,4,5,6],[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],[1,4,6,7,8,12],[1,4,9,10,12,13],[1,5,6,8,9,11],[1,5,7,10,11,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,5,7,9,10],[3,4,6,7,10,11],[3,4,8,9,11,13],[3,5,7,8,12,13],[3,6,7,9,11,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1415]:=Group([(1,8,13)(3,10,6)(4,11,7)(5,12,9)]);
# Design 1416: autom. group order 3, simple
B[1416]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,11],[1,4,7,10,12,13],[1,5,6,7,8,12],[1,5,9,10,11,13],[1,7,8,9,10,12],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,7,8,9,11],[2,6,7,9,10,13],[3,4,5,7,9,10],[3,4,6,7,10,11],[3,4,8,9,12,13],[3,5,7,8,11,13],[3,6,7,9,11,12],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1416]:=Group([(1,8,13)(3,10,6)(4,11,7)(5,12,9)]);
# Design 1417: autom. group order 3, simple
B[1417]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,10],[1,4,7,9,12,13],[1,5,6,8,11,12],[1,5,7,10,12,13],[1,7,8,9,10,11],[2,3,6,7,10,12],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,7,8,10,13],[2,5,6,7,9,13],[2,5,8,9,11,13],[2,6,7,8,11,12],[3,4,5,7,8,11],[3,4,6,9,11,13],[3,4,10,11,12,13],[3,5,8,9,10,12],[3,6,7,9,10,11],[4,5,6,7,9,12],[4,5,6,8,10,13]];
G[1417]:=Group([(1,2,13)(3,9,7)(4,8,12)(6,11,10)]);
# Design 1418: autom. group order 3, simple
B[1418]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,6,9,10,12],[1,4,8,9,10,11],[1,5,6,7,8,12],[1,5,10,11,12,13],[1,7,8,9,12,13],[2,3,8,9,11,12],[2,3,8,10,12,13],[2,4,5,9,12,13],[2,4,6,7,10,13],[2,5,6,8,10,12],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,5,8,11,13],[3,4,6,9,11,12],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,6,7,8,9,10],[4,5,6,8,9,13],[4,5,7,8,10,11]];
G[1418]:=Group([(1,4,13)(2,5,11)(3,8,6)(7,9,10)]);
# Design 1419: autom. group order 3, simple, derived
B[1419]:=[[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],[1,3,5,8,11,12],[1,3,6,10,11,13],[1,4,6,7,10,12],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,9,11,13],[1,7,8,9,12,13],[2,3,7,10,11,13],[2,3,8,9,10,12],[2,4,5,11,12,13],[2,4,6,8,11,13],[2,5,6,7,8,12],[2,5,7,8,10,13],[2,6,9,10,11,12],[3,4,5,9,12,13],[3,4,6,8,9,13],[3,4,7,10,12,13],[3,5,6,7,11,12],[3,6,7,8,9,11],[4,5,6,7,9,10],[4,5,8,9,10,11]];
G[1419]:=Group([(1,2,9)(3,12,7)(4,10,13)(5,6,11)]);
# Design 1420: autom. group order 3, simple
B[1420]:=[[1,2,3,4,5,6],[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],[1,3,6,10,12,13],[1,4,6,8,10,11],[1,4,8,9,12,13],[1,5,6,7,9,11],[1,5,7,8,10,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,3,8,9,10,11],[2,4,5,8,9,13],[2,4,6,10,12,13],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,7,8,11,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,7,10,11,13],[3,5,6,7,8,13],[3,6,8,9,11,12],[4,5,6,7,9,12],[4,5,9,10,11,13]];
G[1420]:=Group([(1,10,11)(2,12,3)(4,6,8)(7,13,9)]);
# Design 1421: autom. group order 3, simple, derived
B[1421]:=[[1,2,3,4,5,6],[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],[1,5,6,9,11,13],[1,5,7,8,9,10],[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],[2,5,6,8,10,12],[2,5,7,10,11,12],[2,6,7,8,9,11],[3,4,5,8,11,12],[3,4,6,9,10,13],[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[1421]:=Group([(1,10,11)(2,12,3)(4,6,8)(7,13,9)]);
# Design 1422: autom. group order 3, simple, derived
B[1422]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,5,10,11,13],[1,3,6,7,9,12],[1,4,6,8,9,13],[1,4,8,10,12,13],[1,5,6,8,10,12],[1,5,7,8,11,13],[1,7,9,10,11,12],[2,3,8,9,12,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,6,7,10,13],[2,6,8,9,10,11],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,6,10,12,13],[3,5,7,9,12,13],[3,6,7,8,11,13],[4,5,6,9,11,12],[4,5,7,8,9,10]];
G[1422]:=Group([(1,4,12)(2,11,7)(3,5,9)(8,13,10)]);
# Design 1423: autom. group order 3, simple
B[1423]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,10],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,6,10,11,13],[1,4,8,9,12,13],[1,5,7,8,9,13],[1,5,8,10,11,12],[1,6,7,9,11,12],[2,3,6,9,12,13],[2,3,8,9,11,13],[2,4,5,10,12,13],[2,4,7,9,10,11],[2,5,6,7,11,12],[2,5,6,8,11,13],[2,7,8,10,12,13],[3,4,5,8,11,12],[3,4,6,7,8,12],[3,4,7,10,11,13],[3,5,7,9,10,12],[3,6,8,9,10,11],[4,5,6,7,9,13],[4,5,6,8,9,10]];
G[1423]:=Group([(1,4,7)(2,3,8)(5,12,10)(9,11,13)]);
# Design 1424: autom. group order 3, simple
B[1424]:=[[1,2,3,4,5,6],[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],[1,4,6,7,10,12],[1,4,8,10,11,12],[1,5,7,8,9,10],[1,5,7,8,12,13],[1,6,9,10,11,13],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,8,11,13],[2,5,6,8,10,11],[2,5,8,9,12,13],[2,6,7,9,11,12],[3,4,5,7,9,11],[3,4,6,8,9,13],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,7,8,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[1424]:=Group([(1,3,12)(2,10,4)(5,13,11)(6,7,8)]);
# Design 1425: autom. group order 3, simple
B[1425]:=[[1,2,3,4,5,6],[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],[1,4,6,7,10,12],[1,4,8,10,11,12],[1,5,7,8,12,13],[1,5,8,9,10,13],[1,6,7,9,10,11],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,10,11,13],[2,4,7,8,11,13],[2,5,6,8,10,11],[2,5,7,9,11,12],[2,6,8,9,12,13],[3,4,5,7,8,9],[3,4,6,9,11,13],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,7,8,9,10,11],[4,5,6,7,10,13],[4,5,6,8,9,12]];
G[1425]:=Group([(1,3,12)(2,10,4)(5,13,11)(6,7,8)]);
# Design 1426: autom. group order 3, simple, derived
B[1426]:=[[1,2,3,4,5,6],[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],[1,3,6,8,9,12],[1,4,6,8,11,13],[1,4,7,9,10,11],[1,5,7,11,12,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,6,12,13],[2,4,8,10,11,12],[2,5,6,8,9,11],[2,5,7,8,10,12],[2,6,7,9,11,13],[3,4,5,7,11,12],[3,4,6,10,12,13],[3,4,7,8,9,13],[3,5,6,7,8,11],[3,6,9,10,11,12],[4,5,6,7,9,10],[4,5,8,9,10,13]];
G[1426]:=Group([(1,8,13)(3,10,7)(4,11,6)(5,12,9)]);
# Design 1427: autom. group order 3, simple
B[1427]:=[[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],[1,3,6,9,12,13],[1,4,6,8,12,13],[1,4,7,9,11,12],[1,5,7,8,10,12],[1,5,8,9,11,13],[1,6,7,9,10,11],[2,3,7,11,12,13],[2,3,8,9,10,12],[2,4,5,9,12,13],[2,4,6,9,10,11],[2,5,6,7,11,13],[2,5,6,8,11,12],[2,7,8,9,10,13],[3,4,5,8,10,11],[3,4,6,7,10,13],[3,4,8,9,11,13],[3,5,6,9,10,12],[3,6,7,8,11,12],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1427]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1428: autom. group order 3, simple, derived
B[1428]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,8,12,13],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,8,9,10,12],[1,6,7,8,10,11],[2,3,7,8,12,13],[2,3,8,10,11,13],[2,4,5,11,12,13],[2,4,6,7,8,9],[2,5,6,7,9,11],[2,5,6,8,10,12],[2,7,9,10,12,13],[3,4,5,7,10,12],[3,4,6,9,10,13],[3,4,8,9,10,11],[3,5,6,8,11,12],[3,6,7,9,11,12],[4,5,6,7,10,13],[4,5,8,9,11,13]];
G[1428]:=Group([(1,7,12)(2,6,5)(3,9,8)(4,11,10)]);
# Design 1429: autom. group order 3, simple, derived
B[1429]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,12],[1,4,6,8,9,13],[1,4,8,9,10,11],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,7,8,10,12],[2,3,7,8,11,13],[2,3,8,9,12,13],[2,4,5,8,10,12],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,6,7,9,10,11],[3,4,5,6,7,9],[3,4,6,10,12,13],[3,4,7,10,11,13],[3,5,8,9,10,11],[3,6,7,8,9,12],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[1429]:=Group([(1,4,13)(2,10,5)(3,12,7)(6,9,8)]);
# Design 1430: autom. group order 3, simple
B[1430]:=[[1,2,3,4,5,6],[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],[1,3,6,11,12,13],[1,4,6,9,10,13],[1,4,7,8,10,12],[1,5,7,9,12,13],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,11,13],[2,4,8,10,12,13],[2,5,6,7,8,9],[2,5,6,8,12,13],[2,6,9,10,11,12],[3,4,5,6,10,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,7,9,10,12],[3,6,7,8,10,11],[4,5,6,7,11,12],[4,5,8,9,10,11]];
G[1430]:=Group([(1,2,13)(3,12,9)(4,8,6)(5,10,7)]);
# Design 1431: autom. group order 3, simple
B[1431]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,6,7,8,10],[1,4,7,10,11,12],[1,5,7,8,9,13],[1,5,8,9,11,12],[1,6,8,10,12,13],[2,3,7,8,12,13],[2,3,8,10,11,13],[2,4,5,10,12,13],[2,4,7,9,12,13],[2,5,6,7,9,10],[2,5,6,8,11,12],[2,6,7,8,9,11],[3,4,5,6,8,12],[3,4,6,9,11,13],[3,4,8,9,10,11],[3,5,7,10,11,12],[3,6,7,9,10,12],[4,5,6,7,11,13],[4,5,8,9,10,13]];
G[1431]:=Group([(1,7,12)(2,6,5)(3,9,8)(4,10,11)]);
# Design 1432: autom. group order 3, simple
B[1432]:=[[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],[1,3,9,11,12,13],[1,4,6,7,12,13],[1,4,6,8,10,11],[1,5,6,8,9,13],[1,5,7,8,10,12],[1,7,8,9,11,12],[2,3,6,8,12,13],[2,3,8,9,10,11],[2,4,5,9,10,12],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,7,8,11,13],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,7,9,11],[3,4,7,8,10,13],[3,5,6,8,10,12],[3,6,7,9,10,12],[4,5,6,8,9,11],[4,5,7,9,10,13]];
G[1432]:=Group([(1,7,13)(2,11,3)(4,6,12)(8,10,9)]);
# Design 1433: autom. group order 3, simple, derived
B[1433]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,6,9,10,11],[1,4,6,10,12,13],[1,5,6,7,8,12],[1,5,7,10,12,13],[1,7,8,9,11,13],[2,3,6,7,11,13],[2,3,8,10,12,13],[2,4,5,8,10,11],[2,4,8,9,12,13],[2,5,6,7,10,13],[2,5,7,9,11,12],[2,6,9,10,11,12],[3,4,5,11,12,13],[3,4,6,7,9,12],[3,4,7,9,10,13],[3,5,6,8,9,12],[3,6,7,8,10,11],[4,5,6,8,11,13],[4,5,7,8,9,10]];
G[1433]:=Group([(1,5,13)(2,4,8)(3,11,9)(7,10,12)]);
# Design 1434: autom. group order 3, simple
B[1434]:=[[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],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,6,10,12,13],[1,5,6,7,9,12],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,5,8,11,12],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,8,9,11,13],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,8,9,12],[3,5,6,9,11,12],[3,6,7,8,10,11],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[1434]:=Group([(1,2,13)(3,7,12)(4,9,8)(5,6,10)]);
# Design 1435: autom. group order 3, simple
B[1435]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,6,7,10,12],[1,4,6,8,11,13],[1,5,6,10,11,12],[1,5,7,8,9,10],[1,8,9,10,12,13],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,5,10,11,13],[2,4,7,8,10,13],[2,5,6,8,12,13],[2,5,7,8,11,12],[2,6,8,9,10,11],[3,4,5,8,9,12],[3,4,6,8,10,12],[3,4,9,10,11,13],[3,5,6,7,10,13],[3,6,7,8,9,11],[4,5,6,7,9,11],[4,5,7,9,12,13]];
G[1435]:=Group([(1,9,11)(2,4,12)(3,5,7)(6,13,10)]);
# Design 1436: autom. group order 3, simple
B[1436]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,7,8,10],[1,5,10,11,12,13],[1,7,8,9,10,13],[2,3,6,8,9,13],[2,3,7,10,11,12],[2,4,5,7,12,13],[2,4,8,10,11,13],[2,5,6,8,10,12],[2,5,8,9,11,13],[2,6,7,9,10,12],[3,4,5,9,10,13],[3,4,6,10,12,13],[3,4,7,8,10,11],[3,5,6,7,11,13],[3,6,8,9,11,12],[4,5,6,7,9,11],[4,5,7,8,9,12]];
G[1436]:=Group([(1,12,13)(3,10,8)(4,7,11)(5,6,9)]);
# Design 1437: autom. group order 3, simple, derived
B[1437]:=[[1,2,3,4,5,6],[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],[1,4,6,7,10,11],[1,4,6,8,12,13],[1,5,6,7,8,9],[1,5,7,9,12,13],[1,8,9,10,11,13],[2,3,6,7,12,13],[2,3,8,9,11,12],[2,4,5,8,10,13],[2,4,7,9,10,13],[2,5,6,9,11,13],[2,5,7,8,10,12],[2,6,7,8,11,13],[3,4,5,11,12,13],[3,4,6,9,10,13],[3,4,7,8,9,11],[3,5,6,8,10,11],[3,6,7,9,10,12],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[1437]:=Group([(1,2,13)(3,6,8)(4,7,12)(5,11,10)]);
# Design 1438: autom. group order 3, simple, derived
B[1438]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,13],[1,4,6,8,10,13],[1,4,6,9,10,12],[1,5,6,8,12,13],[1,5,7,9,10,11],[1,7,10,11,12,13],[2,3,8,10,11,13],[2,3,9,10,12,13],[2,4,5,7,12,13],[2,4,7,8,10,12],[2,5,6,7,9,13],[2,5,6,8,10,11],[2,6,8,9,11,12],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,6,9,11,13],[3,5,6,7,10,12],[3,6,7,8,9,12],[4,5,7,8,9,11],[4,5,8,9,10,13]];
G[1438]:=Group([(1,4,8)(2,7,3)(5,12,9)(6,10,13)]);
# Design 1439: autom. group order 3, simple, derived
B[1439]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,8,11,13],[1,3,7,8,12,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,6,7,9,11],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,6,8,12,13],[2,7,8,9,10,12],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,6,8,9,11,12],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1439]:=Group([(2,11,13)(3,10,12)(4,8,9)(5,6,7)]);
# Design 1440: autom. group order 3, simple, derived
B[1440]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,13],[1,3,5,8,11,13],[1,3,7,8,12,13],[1,4,6,9,12,13],[1,4,6,10,11,12],[1,5,7,9,12,13],[1,5,8,9,10,11],[1,6,7,8,10,11],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,5,7,10,13],[2,4,8,9,11,13],[2,5,6,7,11,13],[2,5,6,8,11,12],[2,7,8,9,10,12],[3,4,5,9,11,12],[3,4,6,8,10,13],[3,4,7,9,10,11],[3,5,6,7,10,12],[3,6,7,9,11,13],[4,5,6,7,8,9],[4,5,8,10,12,13]];
G[1440]:=Group([(2,11,13)(3,10,12)(4,8,9)(5,6,7)]);
# Design 1441: autom. group order 3, simple
B[1441]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,11,13],[1,3,5,11,12,13],[1,3,8,9,10,12],[1,4,6,8,9,13],[1,4,6,9,10,11],[1,5,7,8,10,13],[1,5,7,9,12,13],[1,6,7,10,11,12],[2,3,6,7,9,13],[2,3,8,11,12,13],[2,4,5,8,10,12],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,9,11,12],[2,7,8,9,10,11],[3,4,5,7,9,11],[3,4,6,10,12,13],[3,4,7,10,11,13],[3,5,6,8,10,11],[3,6,7,8,9,12],[4,5,6,7,8,12],[4,5,8,9,11,13]];
G[1441]:=Group([(1,4,13)(2,10,5)(3,12,7)(6,9,8)]);
# Design 1442: autom. group order 3, simple
B[1442]:=[[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],[1,4,6,7,9,13],[1,4,6,8,10,13],[1,5,7,8,9,12],[1,5,8,10,11,13],[1,6,7,10,11,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,8,9,11],[2,4,7,8,10,12],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,7,8,9,11,13],[3,4,5,7,10,13],[3,4,6,8,11,12],[3,4,9,10,11,12],[3,5,6,8,11,13],[3,6,7,8,9,10],[4,5,6,7,9,11],[4,5,9,10,12,13]];
G[1442]:=Group([(1,2,12)(3,6,7)(4,13,11)(8,9,10)]);
# Design 1443: autom. group order 3, simple
B[1443]:=[[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],[1,3,5,7,11,13],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,6,10,12,13],[1,5,7,9,11,12],[1,5,8,10,12,13],[1,6,7,8,9,10],[2,3,6,8,11,12],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,7,9,12,13],[2,5,6,7,8,13],[2,5,8,9,11,13],[2,6,7,9,10,13],[3,4,5,6,9,13],[3,4,7,8,9,12],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,6,8,9,10,11],[4,5,6,9,11,12],[4,5,7,8,10,11]];
G[1443]:=Group([(1,2,13)(3,7,12)(4,9,8)(5,6,10)]);
# Design 1444: autom. group order 3, simple
B[1444]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,9,10,12,13],[1,4,6,9,11,13],[1,4,8,9,10,13],[1,5,6,7,8,13],[1,5,6,8,10,12],[1,7,8,10,11,12],[2,3,6,8,10,11],[2,3,6,8,12,13],[2,4,5,10,12,13],[2,4,8,10,11,13],[2,5,7,8,9,13],[2,5,7,9,10,11],[2,6,7,9,12,13],[3,4,5,11,12,13],[3,4,6,7,9,10],[3,4,7,8,9,12],[3,5,8,9,11,12],[3,6,7,10,11,13],[4,5,6,7,10,12],[4,5,6,8,9,11]];
G[1444]:=Group([(1,2,9)(3,5,10)(4,7,13)(6,11,12)]);
# Design 1445: autom. group order 3, simple, derived
B[1445]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,7,10,12],[1,5,6,8,9,13],[1,7,9,10,11,13],[2,3,6,9,10,12],[2,3,7,8,12,13],[2,4,5,8,10,13],[2,4,6,11,12,13],[2,5,7,8,9,11],[2,5,7,10,12,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,7,9,10,13],[3,5,6,7,8,11],[3,6,8,9,12,13],[4,5,6,7,9,12],[4,5,8,10,11,12]];
G[1445]:=Group([(1,5,6)(2,12,8)(3,7,13)(4,10,9)]);
# Design 1446: autom. group order 3, simple, derived
B[1446]:=[[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],[1,3,8,9,10,12],[1,4,6,8,10,11],[1,4,7,9,12,13],[1,5,6,7,10,12],[1,5,6,8,11,13],[1,7,8,9,10,13],[2,3,6,7,8,13],[2,3,7,10,11,12],[2,4,5,7,10,13],[2,4,8,9,11,12],[2,5,6,8,9,12],[2,5,9,10,11,13],[2,6,8,10,12,13],[3,4,5,8,9,13],[3,4,6,9,10,11],[3,4,6,10,12,13],[3,5,7,8,11,12],[3,6,7,9,11,13],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[1446]:=Group([(1,2,10)(3,5,9)(4,13,8)(6,11,12)]);
# Design 1447: autom. group order 3, simple
B[1447]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,13],[1,4,8,10,11,13],[1,5,6,7,10,11],[1,5,8,9,12,13],[1,6,7,8,9,12],[2,3,6,8,11,12],[2,3,6,9,10,13],[2,4,5,7,10,12],[2,4,6,11,12,13],[2,5,7,9,12,13],[2,5,8,10,11,13],[2,7,8,9,10,11],[3,4,5,7,8,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,8,9,11],[3,6,7,10,12,13],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[1447]:=Group([(1,3,7)(2,4,8)(5,13,6)(10,11,12)]);
# Design 1448: autom. group order 3, simple, derived
B[1448]:=[[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],[1,3,8,10,11,12],[1,4,6,7,10,13],[1,4,7,9,12,13],[1,5,6,7,8,10],[1,5,9,10,11,13],[1,6,8,9,11,12],[2,3,6,9,12,13],[2,3,6,10,11,13],[2,4,5,8,9,11],[2,4,6,8,10,12],[2,5,7,8,11,13],[2,5,7,10,12,13],[2,7,8,9,10,12],[3,4,5,7,11,12],[3,4,7,9,10,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,6,7,8,11,13],[4,5,6,8,9,13],[4,5,6,10,11,12]];
G[1448]:=Group([(2,8,13)(3,12,4)(5,11,7)(6,10,9)]);
# Design 1449: autom. group order 3, simple, derived
B[1449]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,6,8,9,10],[1,4,8,10,12,13],[1,5,6,9,11,12],[1,5,7,10,11,13],[1,6,7,8,10,11],[2,3,6,7,10,12],[2,3,6,8,11,13],[2,4,5,10,11,13],[2,4,9,10,12,13],[2,5,6,8,12,13],[2,5,7,8,9,10],[2,7,8,9,11,12],[3,4,5,8,9,11],[3,4,6,10,11,12],[3,4,7,9,11,13],[3,5,8,10,11,12],[3,6,7,9,10,13],[4,5,6,7,8,13],[4,5,6,7,9,12]];
G[1449]:=Group([(1,10,13)(2,3,6)(4,12,8)(5,7,11)]);
# Design 1450: autom. group order 3, simple
B[1450]:=[[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],[1,4,6,8,10,12],[1,4,7,9,11,13],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,7,8,10,13],[2,3,6,8,9,13],[2,3,6,10,11,13],[2,4,5,8,12,13],[2,4,7,9,10,12],[2,5,6,7,10,12],[2,5,7,8,11,13],[2,8,9,10,11,12],[3,4,5,7,10,11],[3,4,6,9,11,12],[3,4,8,9,10,13],[3,5,7,9,12,13],[3,6,7,8,11,12],[4,5,6,7,8,9],[4,5,6,10,11,13]];
G[1450]:=Group([(1,10,11)(2,12,3)(4,7,6)(5,9,8)]);
# Design 1451: autom. group order 3, simple
B[1451]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,6,8,10,13],[1,4,7,8,9,12],[1,5,6,9,12,13],[1,5,8,9,10,11],[1,6,7,10,11,12],[2,3,6,8,9,12],[2,3,6,10,11,12],[2,4,5,10,12,13],[2,4,7,9,10,13],[2,5,6,7,8,13],[2,5,7,8,11,12],[2,8,9,10,11,13],[3,4,5,7,10,11],[3,4,6,9,11,13],[3,4,8,11,12,13],[3,5,7,9,12,13],[3,6,7,8,9,10],[4,5,6,7,9,11],[4,5,6,8,10,12]];
G[1451]:=Group([(1,10,11)(2,13,3)(5,9,8)(6,7,12)]);
# Design 1452: autom. group order 3, simple
B[1452]:=[[1,2,3,4,5,6],[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],[1,4,6,7,12,13],[1,4,7,9,10,11],[1,5,6,8,9,13],[1,5,7,8,9,12],[1,6,8,10,11,12],[2,3,6,7,9,12],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,8,9,10,13],[2,5,6,7,10,13],[2,5,7,10,11,12],[2,7,8,9,11,13],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,9,11,12,13],[3,6,7,8,9,10],[4,5,6,7,8,11],[4,5,6,9,10,12]];
G[1452]:=Group([(1,8,11)(2,13,3)(4,9,5)(6,10,12)]);
# Design 1453: autom. group order 3, simple
B[1453]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,6,8,10,13],[1,4,7,9,10,12],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,6,7,8,12,13],[2,3,6,7,10,13],[2,3,6,8,11,12],[2,4,5,8,12,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,7,9,12,13],[2,8,9,10,11,13],[3,4,5,10,12,13],[3,4,6,9,11,13],[3,4,7,8,9,11],[3,5,8,10,11,12],[3,6,7,9,10,12],[4,5,6,7,11,12],[4,5,6,8,9,10]];
G[1453]:=Group([(1,2,13)(3,10,8)(4,7,6)(5,11,12)]);
# Design 1454: autom. group order 3, simple, derived
B[1454]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,7,11,12],[1,3,8,9,11,13],[1,4,6,10,12,13],[1,4,8,10,11,13],[1,5,6,7,8,13],[1,5,8,9,10,12],[1,6,7,10,11,12],[2,3,6,8,11,12],[2,3,6,10,12,13],[2,4,5,8,12,13],[2,4,7,8,10,11],[2,5,7,11,12,13],[2,5,9,10,11,13],[2,6,7,8,9,10],[3,4,5,7,10,13],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,6,8,10,11],[3,7,8,9,12,13],[4,5,6,7,9,11],[4,5,6,8,9,12]];
G[1454]:=Group([(1,4,11)(2,9,12)(3,6,7)(8,13,10)]);
# Design 1455: autom. group order 3, simple
B[1455]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,12],[1,3,5,7,11,13],[1,3,9,10,11,13],[1,4,6,9,12,13],[1,4,8,9,10,13],[1,5,6,8,10,12],[1,5,7,8,12,13],[1,6,7,8,10,11],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,5,6,10,13],[2,4,8,10,11,13],[2,5,7,8,9,13],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,9],[3,4,7,9,10,12],[3,5,6,8,9,11],[3,6,7,10,12,13],[4,5,6,7,10,11],[4,5,8,9,11,12]];
G[1455]:=Group([(1,2,9)(3,5,10)(4,7,13)(6,12,11)]);
# Design 1456: autom. group order 3, simple, derived
B[1456]:=[[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],[1,3,7,8,9,13],[1,4,6,8,10,12],[1,4,7,9,10,12],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,9,11,13],[2,3,6,8,11,12],[2,3,9,10,12,13],[2,4,5,6,9,13],[2,4,7,8,10,11],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,7,11,13],[3,4,6,10,11,13],[3,4,8,9,12,13],[3,5,6,7,8,12],[3,6,7,9,10,11],[4,5,6,8,9,10],[4,5,7,9,11,12]];
G[1456]:=Group([(1,2,13)(3,10,8)(4,12,11)(5,7,9)]);
# Design 1457: autom. group order 3, simple, derived
B[1457]:=[[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],[1,3,7,10,12,13],[1,4,6,9,10,11],[1,4,8,9,10,13],[1,5,6,8,12,13],[1,5,7,9,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,9,10,12],[2,4,5,6,10,13],[2,4,7,9,12,13],[2,5,7,8,9,13],[2,5,8,10,11,12],[2,6,7,9,10,11],[3,4,5,7,8,11],[3,4,6,7,9,12],[3,4,8,10,11,13],[3,5,6,7,10,13],[3,6,8,9,11,13],[4,5,6,8,9,12],[4,5,7,10,11,12]];
G[1457]:=Group([(1,3,8)(2,4,7)(5,11,6)(9,13,12)]);
# Design 1458: autom. group order 3, simple
B[1458]:=[[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],[1,3,8,9,12,13],[1,4,6,8,11,13],[1,4,7,9,12,13],[1,5,6,7,11,12],[1,5,8,9,10,11],[1,6,7,8,10,12],[2,3,6,8,10,12],[2,3,7,11,12,13],[2,4,5,8,11,13],[2,4,6,9,11,12],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,5,8,10,12],[3,4,6,9,10,13],[3,4,7,9,10,11],[3,5,6,9,11,12],[3,6,7,8,11,13],[4,5,6,7,8,9],[4,5,7,10,12,13]];
G[1458]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,12,13)]);
# Design 1459: autom. group order 3, simple
B[1459]:=[[1,2,3,4,5,6],[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],[1,3,8,9,10,13],[1,4,6,9,12,13],[1,4,9,10,11,13],[1,5,6,10,11,12],[1,5,7,8,11,13],[1,6,7,8,10,12],[2,3,6,11,12,13],[2,3,8,10,11,12],[2,4,5,10,12,13],[2,4,6,8,10,13],[2,5,6,7,9,13],[2,5,7,9,10,11],[2,7,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,9,11],[3,4,7,9,10,12],[3,5,6,8,9,12],[3,6,7,10,11,13],[4,5,6,7,8,10],[4,5,8,9,11,12]];
G[1459]:=Group([(1,2,9)(3,5,10)(4,7,13)(6,11,8)]);
# Design 1460: autom. group order 3, simple, derived
B[1460]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,13],[1,3,5,7,11,13],[1,3,7,10,11,12],[1,4,6,8,10,11],[1,4,8,9,10,13],[1,5,6,8,9,12],[1,5,7,9,12,13],[1,6,10,11,12,13],[2,3,6,9,10,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,7,12,13],[2,5,6,7,10,11],[2,5,8,9,11,13],[2,7,8,9,10,11],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,4,7,9,10,13],[3,5,6,8,10,13],[3,6,7,8,9,12],[4,5,6,7,9,11],[4,5,7,8,10,12]];
G[1460]:=Group([(1,2,11)(3,8,10)(4,9,12)(5,13,6)]);
# Design 1461: autom. group order 3, simple
B[1461]:=[[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],[1,3,9,10,11,12],[1,4,6,7,10,13],[1,4,8,9,10,11],[1,5,6,8,9,13],[1,5,8,10,12,13],[1,6,7,8,11,12],[2,3,6,8,10,13],[2,3,8,9,11,13],[2,4,5,7,9,12],[2,4,6,8,10,12],[2,5,6,10,11,12],[2,5,7,8,11,13],[2,7,9,10,12,13],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,6,7,8,9,12],[4,5,6,9,11,13],[4,5,7,8,9,10]];
G[1461]:=Group([(1,2,13)(3,8,5)(4,11,12)(6,9,10)]);
# Design 1462: autom. group order 3, simple
B[1462]:=[[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],[1,3,5,8,11,12],[1,3,9,11,12,13],[1,4,6,8,9,12],[1,4,7,10,12,13],[1,5,6,7,8,13],[1,5,7,10,11,13],[1,6,8,9,10,13],[2,3,6,7,9,13],[2,3,8,10,12,13],[2,4,5,11,12,13],[2,4,6,8,11,13],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,5,7,9,13],[3,4,6,10,11,13],[3,4,7,8,10,12],[3,5,6,8,10,11],[3,6,7,9,11,12],[4,5,6,9,10,12],[4,5,7,8,9,11]];
G[1462]:=Group([(1,2,13)(3,12,7)(4,8,10)(6,9,11)]);
# Design 1463: autom. group order 3, simple
B[1463]:=[[1,2,3,4,5,6],[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],[1,3,8,9,10,13],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,10,11,12],[1,5,7,8,11,12],[1,6,7,8,9,12],[2,3,6,10,11,12],[2,3,7,11,12,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,5,6,7,9,13],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,5,7,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,6,8,10,12,13],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[1463]:=Group([(1,3,12)(2,7,9)(5,13,6)(8,10,11)]);
# Design 1464: autom. group order 3, simple
B[1464]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,6,9,12,13],[1,4,7,10,11,13],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,6,7,8,9,12],[2,3,6,9,10,13],[2,3,7,11,12,13],[2,4,5,8,10,12],[2,4,6,8,11,13],[2,5,6,7,11,12],[2,5,8,9,12,13],[2,7,8,9,10,11],[3,4,5,7,12,13],[3,4,6,8,9,11],[3,4,7,9,10,12],[3,5,6,7,9,11],[3,6,8,10,12,13],[4,5,6,7,8,10],[4,5,9,10,11,13]];
G[1464]:=Group([(1,3,12)(2,7,9)(5,13,6)(8,10,11)]);
# Design 1465: autom. group order 3, simple
B[1465]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,6,7,8,13],[1,4,8,10,11,13],[1,5,6,7,11,12],[1,5,7,8,9,10],[1,6,8,9,10,12],[2,3,6,7,8,12],[2,3,8,10,11,13],[2,4,5,7,9,13],[2,4,6,10,12,13],[2,5,6,8,10,11],[2,5,7,10,12,13],[2,7,8,9,11,12],[3,4,5,8,11,12],[3,4,6,9,10,12],[3,4,7,9,10,11],[3,5,6,8,9,13],[3,6,7,9,11,13],[4,5,6,7,10,11],[4,5,8,9,12,13]];
G[1465]:=Group([(1,2,8)(3,7,4)(5,12,13)(9,11,10)]);
# Design 1466: autom. group order 3, simple, derived
B[1466]:=[[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],[1,3,8,10,11,12],[1,4,6,7,10,13],[1,4,7,9,12,13],[1,5,6,7,8,10],[1,5,9,10,11,13],[1,6,8,9,11,12],[2,3,6,9,12,13],[2,3,7,10,11,13],[2,4,5,10,11,12],[2,4,6,8,10,12],[2,5,7,8,9,12],[2,5,7,8,11,13],[2,6,8,9,10,13],[3,4,5,6,9,11],[3,4,7,8,9,11],[3,4,8,9,10,13],[3,5,6,7,12,13],[3,6,7,10,11,12],[4,5,6,8,11,13],[4,5,7,9,10,12]];
G[1466]:=Group([(2,8,13)(3,12,4)(5,11,7)(6,10,9)]);
# Design 1467: autom. group order 3, simple, derived
B[1467]:=[[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],[1,3,8,10,11,12],[1,4,6,7,10,13],[1,4,7,9,12,13],[1,5,6,7,8,10],[1,5,9,10,11,13],[1,6,8,9,11,12],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,5,8,9,11],[2,4,6,8,10,12],[2,5,7,8,11,13],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,5,6,11,13],[3,4,7,9,10,11],[3,4,8,9,10,13],[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[1467]:=Group([(2,8,13)(3,12,4)(5,11,7)(6,10,9)]);
# Design 1468: autom. group order 3, simple
B[1468]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,6,9,11,13],[1,4,8,9,10,12],[1,5,6,8,10,13],[1,5,7,9,10,13],[1,6,8,10,11,12],[2,3,6,10,12,13],[2,3,8,9,10,11],[2,4,5,10,12,13],[2,4,7,10,11,13],[2,5,6,7,8,9],[2,5,6,8,11,12],[2,7,8,9,12,13],[3,4,5,8,11,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,5,9,11,12,13],[3,6,7,9,10,11],[4,5,6,7,9,12],[4,5,7,8,10,11]];
G[1468]:=Group([(1,3,10)(2,9,5)(4,11,13)(6,8,7)]);
# Design 1469: autom. group order 3, simple
B[1469]:=[[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],[1,4,6,8,10,11],[1,4,7,10,12,13],[1,5,6,8,9,13],[1,5,7,9,10,11],[1,6,7,8,9,12],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,5,7,8,11],[2,4,8,9,10,13],[2,5,6,7,12,13],[2,5,6,8,10,13],[2,7,9,10,11,13],[3,4,5,9,12,13],[3,4,6,7,9,10],[3,4,6,9,11,13],[3,5,8,10,11,12],[3,6,7,8,11,13],[4,5,6,7,10,12],[4,5,8,9,11,12]];
G[1469]:=Group([(1,10,11)(2,13,3)(4,8,6)(5,9,7)]);
# Design 1470: autom. group order 3, simple
B[1470]:=[[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],[1,3,8,9,10,11],[1,4,6,9,11,12],[1,4,7,8,12,13],[1,5,6,8,10,13],[1,5,7,8,10,11],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,5,9,10,13],[2,4,8,9,11,13],[2,5,6,8,11,12],[2,5,7,9,11,12],[2,6,7,8,10,12],[3,4,5,6,10,12],[3,4,6,7,11,13],[3,4,8,9,10,12],[3,5,8,9,12,13],[3,6,7,9,10,11],[4,5,6,7,8,9],[4,5,7,10,11,13]];
G[1470]:=Group([(1,2,3)(4,7,5)(6,8,9)(10,13,11)]);
# Design 1471: autom. group order 3, simple, derived
B[1471]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,5,7,8,11],[1,3,9,10,12,13],[1,4,6,8,10,13],[1,4,8,9,11,13],[1,5,6,7,11,12],[1,5,7,10,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,7,10,11,13],[2,5,6,9,10,11],[2,5,7,8,10,13],[2,6,7,8,9,12],[3,4,5,6,12,13],[3,4,6,7,10,11],[3,4,7,9,10,12],[3,5,8,9,11,13],[3,6,7,9,11,13],[4,5,6,8,9,10],[4,5,7,8,9,12]];
G[1471]:=Group([(1,8,11)(3,12,4)(5,6,13)(7,10,9)]);
# Design 1472: autom. group order 3, simple, derived
B[1472]:=[[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],[1,3,7,9,11,13],[1,4,6,10,12,13],[1,4,8,9,12,13],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,8,10,11,13],[2,3,6,8,10,12],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,8,9,11,12],[2,5,6,9,11,13],[2,5,7,8,10,13],[2,6,7,8,9,13],[3,4,5,6,11,13],[3,4,6,7,8,11],[3,4,7,9,10,13],[3,5,8,9,11,12],[3,6,7,9,10,12],[4,5,6,8,9,10],[4,5,7,10,11,12]];
G[1472]:=Group([(1,2,13)(3,7,12)(4,5,8)(6,10,9)]);
# Design 1473: autom. group order 3, simple, derived
B[1473]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,6,8,9,12],[1,4,10,11,12,13],[1,5,6,8,10,13],[1,5,7,9,10,12],[1,6,7,8,10,11],[2,3,6,8,10,12],[2,3,7,10,11,13],[2,4,5,10,12,13],[2,4,8,9,10,13],[2,5,6,9,11,12],[2,5,7,8,9,11],[2,6,7,8,12,13],[3,4,5,8,11,12],[3,4,6,7,9,10],[3,4,6,9,11,13],[3,5,6,7,12,13],[3,8,9,10,11,12],[4,5,6,7,10,11],[4,5,7,8,9,13]];
G[1473]:=Group([(1,8,9)(2,3,11)(4,12,6)(7,10,13)]);
# Design 1474: autom. group order 3, simple, derived
B[1474]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,6,9,11,13],[1,4,8,10,12,13],[1,5,6,7,11,12],[1,5,8,9,10,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,9,11,12,13],[2,4,5,8,10,11],[2,4,7,8,11,13],[2,5,6,8,9,12],[2,5,7,10,12,13],[2,6,7,9,10,11],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,6,9,10,13],[3,5,6,8,11,13],[3,7,8,9,10,11],[4,5,6,7,8,9],[4,5,7,9,12,13]];
G[1474]:=Group([(1,4,7)(2,8,3)(5,11,9)(6,13,12)]);
# Design 1475: autom. group order 3, simple
B[1475]:=[[1,2,3,4,5,6],[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],[1,4,6,7,11,13],[1,4,8,9,10,12],[1,5,6,8,12,13],[1,5,7,10,11,12],[1,6,8,9,10,13],[2,3,6,7,8,12],[2,3,10,11,12,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,6,8,10,12],[3,4,6,10,11,13],[3,5,6,9,11,12],[3,7,8,9,10,11],[4,5,6,7,9,10],[4,5,7,8,11,12]];
G[1475]:=Group([(1,2,13)(3,10,8)(4,12,6)(7,11,9)]);
# Design 1476: autom. group order 3, simple, derived
B[1476]:=[[1,2,3,4,5,6],[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],[1,4,6,8,9,10],[1,4,9,10,11,13],[1,5,6,10,11,12],[1,5,7,8,9,13],[1,6,7,8,11,12],[2,3,6,10,12,13],[2,3,8,9,11,13],[2,4,5,11,12,13],[2,4,7,8,10,12],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,7,10,11],[3,4,6,7,9,12],[3,4,6,8,11,13],[3,5,6,7,9,11],[3,8,9,10,11,12],[4,5,6,8,10,13],[4,5,7,9,12,13]];
G[1476]:=Group([(1,3,11)(2,8,6)(4,13,7)(5,9,12)]);
# Design 1477: autom. group order 3, simple
B[1477]:=[[1,2,3,4,5,6],[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],[1,4,6,9,10,12],[1,4,7,8,9,13],[1,5,6,7,8,10],[1,5,8,11,12,13],[1,6,7,9,11,13],[2,3,6,8,11,13],[2,3,7,9,10,13],[2,4,5,7,12,13],[2,4,8,10,11,12],[2,5,6,9,12,13],[2,5,7,8,9,11],[2,6,7,8,10,12],[3,4,5,10,11,13],[3,4,6,7,12,13],[3,4,6,8,9,11],[3,5,6,8,9,12],[3,7,9,10,11,12],[4,5,6,7,10,11],[4,5,8,9,10,13]];
G[1477]:=Group([(1,4,13)(2,5,11)(3,10,6)(7,8,9)]);
# Design 1478: autom. group order 3, simple
B[1478]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,6,8,9,13],[1,4,7,9,10,11],[1,5,6,7,8,10],[1,5,8,10,11,12],[1,6,7,10,12,13],[2,3,6,9,10,13],[2,3,8,10,11,12],[2,4,5,7,12,13],[2,4,7,8,10,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,10,11,13],[3,4,6,7,11,12],[3,4,6,8,10,12],[3,5,6,7,9,12],[3,7,8,9,11,13],[4,5,6,8,9,11],[4,5,9,10,12,13]];
G[1478]:=Group([(1,6,11)(2,12,13)(4,7,5)(8,9,10)]);
# Design 1479: autom. group order 3, simple, derived
B[1479]:=[[1,2,3,4,5,6],[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],[1,3,9,11,12,13],[1,4,6,10,12,13],[1,4,7,8,11,13],[1,5,6,7,9,13],[1,5,7,8,10,12],[1,6,8,9,10,11],[2,3,7,9,10,13],[2,3,8,10,11,13],[2,4,5,6,11,13],[2,4,7,8,9,12],[2,5,6,8,9,12],[2,5,7,11,12,13],[2,6,8,10,12,13],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,5,6,7,8,11],[3,6,7,9,11,12],[4,5,7,9,10,13],[4,5,8,9,10,11]];
G[1479]:=Group([(1,5,11)(2,10,12)(3,4,9)(6,8,13)]);
# Design 1480: autom. group order 3, simple, derived
B[1480]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,6,7,9,12],[1,4,8,9,10,11],[1,5,6,8,10,12],[1,5,7,8,9,13],[1,6,8,10,11,13],[2,3,8,9,12,13],[2,3,8,10,11,12],[2,4,5,6,10,13],[2,4,7,8,10,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,8,9,11],[3,6,7,9,10,12],[4,5,7,10,11,12],[4,5,8,9,12,13]];
G[1480]:=Group([(1,4,13)(2,5,11)(3,12,6)(7,9,10)]);
# Design 1481: autom. group order 3, simple, derived
B[1481]:=[[1,2,3,4,5,6],[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],[1,3,7,10,12,13],[1,4,6,9,10,12],[1,4,7,8,10,11],[1,5,6,7,8,12],[1,5,8,9,10,13],[1,6,8,9,11,13],[2,3,8,9,12,13],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,7,9,10,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,7,9,11],[3,4,6,8,10,13],[3,5,6,9,10,11],[3,6,7,8,9,12],[4,5,7,9,12,13],[4,5,8,10,11,12]];
G[1481]:=Group([(1,4,13)(2,5,11)(3,12,6)(7,9,8)]);
# Design 1482: autom. group order 3, simple, derived
B[1482]:=[[1,2,3,4,5,6],[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],[1,4,7,9,10,11],[1,5,6,8,9,12],[1,5,7,8,10,13],[1,6,8,9,11,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,6,8,13],[2,4,8,9,10,13],[2,5,6,7,10,12],[2,5,7,8,9,11],[2,6,7,10,11,13],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,6,9,10,13],[3,5,6,9,10,11],[3,6,7,8,9,12],[4,5,7,9,12,13],[4,5,8,10,11,12]];
G[1482]:=Group([(1,4,13)(2,5,11)(3,12,6)(7,9,8)]);
# Design 1483: autom. group order 3, simple, derived
B[1483]:=[[1,2,3,4,5,6],[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],[1,4,6,7,8,12],[1,4,7,9,10,13],[1,5,6,9,10,12],[1,5,7,8,9,11],[1,6,8,10,11,13],[2,3,7,9,12,13],[2,3,8,10,11,12],[2,4,5,6,10,13],[2,4,8,9,10,11],[2,5,6,7,8,12],[2,5,7,8,10,13],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,7,10,11],[3,4,6,8,9,13],[3,5,6,8,9,11],[3,6,7,9,10,12],[4,5,7,10,11,12],[4,5,8,9,12,13]];
G[1483]:=Group([(1,4,13)(2,5,11)(3,12,6)(7,9,10)]);
# Design 1484: autom. group order 3, simple, derived
B[1484]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,6,8,10,12],[1,4,7,9,10,13],[1,5,6,7,9,12],[1,5,7,8,10,11],[1,6,8,10,11,13],[2,3,7,10,12,13],[2,3,8,10,11,12],[2,4,5,6,10,13],[2,4,7,8,9,11],[2,5,6,7,8,12],[2,5,8,9,10,13],[2,6,7,9,11,13],[3,4,5,11,12,13],[3,4,6,7,8,13],[3,4,6,9,10,11],[3,5,6,8,9,11],[3,6,7,9,10,12],[4,5,7,10,11,12],[4,5,8,9,12,13]];
G[1484]:=Group([(1,4,13)(2,5,11)(3,12,6)(7,9,10)]);
# Design 1485: autom. group order 3, simple, derived
B[1485]:=[[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],[1,3,8,10,11,13],[1,4,6,7,10,13],[1,4,7,9,10,12],[1,5,6,8,12,13],[1,5,8,9,10,13],[1,6,8,9,11,12],[2,3,7,8,12,13],[2,3,9,10,11,13],[2,4,5,8,10,12],[2,4,6,8,9,13],[2,5,6,10,11,12],[2,5,7,9,12,13],[2,6,7,8,10,11],[3,4,5,6,11,13],[3,4,6,9,10,12],[3,4,8,9,11,12],[3,5,6,7,8,9],[3,6,7,10,12,13],[4,5,7,8,10,11],[4,5,7,9,11,13]];
G[1485]:=Group([(1,11,12)(2,4,13)(3,5,7)(6,9,8)]);
# Design 1486: autom. group order 3, simple, derived
B[1486]:=[[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],[2,4,5,8,9,13],[2,4,6,10,11,13],[2,5,7,8,12,13],[2,5,7,10,11,12],[2,7,8,9,10,11],[3,4,5,8,11,12],[3,4,6,7,10,12],[3,4,7,9,11,12],[3,5,9,10,12,13],[3,6,8,9,11,13],[4,5,6,7,9,13],[4,5,6,8,10,11]];
G[1486]:=Group([(1,4,11)(2,12,13)(5,7,8)(6,9,10)]);
# Design 1487: autom. group order 3, simple, derived
B[1487]:=[[1,2,3,4,5,6],[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],[1,3,9,10,11,13],[1,4,7,8,10,13],[1,4,10,11,12,13],[1,5,6,7,12,13],[1,5,6,8,10,12],[1,6,7,8,9,11],[2,3,6,8,10,13],[2,3,7,8,11,12],[2,4,5,6,11,13],[2,4,8,9,12,13],[2,5,7,9,10,12],[2,5,8,10,11,13],[2,6,7,10,11,12],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,6,9,10,12],[3,5,7,9,11,13],[3,6,8,9,12,13],[4,5,6,8,9,11],[4,5,7,8,9,10]];
G[1487]:=Group([(1,5,7)(2,10,4)(3,9,8)(6,12,13)]);
# Design 1488: autom. group order 3, simple
B[1488]:=[[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],[1,3,5,8,11,12],[1,3,7,11,12,13],[1,4,8,10,11,13],[1,4,9,10,12,13],[1,5,6,7,9,12],[1,5,6,8,10,13],[1,6,7,8,9,13],[2,3,6,7,10,13],[2,3,8,9,12,13],[2,4,5,11,12,13],[2,4,6,8,10,12],[2,5,6,9,11,13],[2,5,7,8,12,13],[2,7,8,9,10,11],[3,4,5,7,10,13],[3,4,6,8,9,12],[3,4,6,9,11,13],[3,5,8,9,10,11],[3,6,7,10,11,12],[4,5,6,7,8,11],[4,5,7,9,10,12]];
G[1488]:=Group([(1,2,13)(3,12,10)(4,5,8)(6,7,11)]);
# Design 1489: autom. group order 3, simple, derived
B[1489]:=[[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],[1,4,7,8,9,13],[1,4,7,10,12,13],[1,5,6,7,11,13],[1,5,6,8,10,12],[1,6,8,9,10,11],[2,3,6,7,10,13],[2,3,8,10,11,13],[2,4,5,8,11,12],[2,4,6,9,12,13],[2,5,7,8,9,12],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,6,8,13],[3,4,6,9,11,12],[3,4,7,10,11,12],[3,5,9,10,12,13],[3,6,7,8,9,11],[4,5,6,7,9,10],[4,5,8,10,11,13]];
G[1489]:=Group([(1,8,11)(2,12,3)(4,5,7)(6,9,10)]);
# Design 1490: autom. group order 3, simple
B[1490]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,13],[1,4,7,9,10,12],[1,4,8,10,11,13],[1,5,6,7,10,12],[1,5,6,8,10,13],[1,6,8,9,11,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,8,9,13],[2,4,6,10,11,13],[2,5,7,8,11,12],[2,5,9,10,12,13],[2,6,7,8,9,10],[3,4,5,7,10,11],[3,4,6,8,10,12],[3,4,6,9,12,13],[3,5,6,8,9,11],[3,7,9,10,11,13],[4,5,6,7,9,11],[4,5,7,8,12,13]];
G[1490]:=Group([(1,3,12)(2,6,9)(5,13,11)(7,8,10)]);
# Design 1491: autom. group order 3, simple
B[1491]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,7,10,11,12],[1,4,8,9,10,13],[1,5,6,7,9,11],[1,5,6,8,10,12],[1,6,7,8,11,13],[2,3,6,7,10,13],[2,3,8,10,11,12],[2,4,5,7,8,11],[2,4,6,8,12,13],[2,5,7,8,9,13],[2,5,9,11,12,13],[2,6,7,9,10,12],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,6,9,11,13],[3,5,6,8,11,12],[3,7,8,9,10,11],[4,5,6,8,9,10],[4,5,7,10,12,13]];
G[1491]:=Group([(1,3,11)(2,8,6)(4,12,13)(5,10,7)]);
# Design 1492: autom. group order 3, simple, derived
B[1492]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,12],[1,4,6,8,9,13],[1,4,6,9,10,11],[1,5,6,7,12,13],[1,5,7,9,10,13],[1,6,7,8,10,12],[2,3,6,7,11,13],[2,3,6,9,12,13],[2,4,5,6,10,12],[2,4,8,10,12,13],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,7,9,10,11],[3,4,5,7,8,9],[3,4,7,10,11,13],[3,4,9,10,12,13],[3,5,6,8,10,11],[3,6,7,8,9,12],[4,5,6,8,11,13],[4,5,7,9,11,12]];
G[1492]:=Group([(1,4,13)(2,10,5)(3,12,7)(6,8,9)]);
# Design 1493: autom. group order 3, simple
B[1493]:=[[1,2,3,4,5,6],[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],[1,3,7,9,10,13],[1,4,6,7,10,13],[1,4,6,8,9,12],[1,5,6,10,11,12],[1,5,8,9,12,13],[1,6,7,8,11,13],[2,3,6,7,8,12],[2,3,6,9,11,13],[2,4,5,6,11,13],[2,4,8,10,12,13],[2,5,7,8,10,11],[2,5,7,9,12,13],[2,6,8,9,10,13],[3,4,5,7,12,13],[3,4,8,9,10,11],[3,4,10,11,12,13],[3,5,6,8,10,12],[3,6,7,9,11,12],[4,5,6,7,9,10],[4,5,7,8,9,11]];
G[1493]:=Group([(1,12,13)(2,3,6)(4,7,11)(5,8,9)]);
# Design 1494: autom. group order 3, simple, derived
B[1494]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,12],[1,3,5,9,11,13],[1,3,7,8,10,13],[1,4,6,8,9,13],[1,4,6,9,10,12],[1,5,6,7,11,12],[1,5,7,10,12,13],[1,6,8,10,11,13],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,5,10,12,13],[2,4,6,10,11,13],[2,5,6,7,9,13],[2,5,8,9,10,11],[2,7,8,9,12,13],[3,4,5,8,12,13],[3,4,7,9,10,11],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,6,7,9,10,12],[4,5,6,7,8,9],[4,5,7,8,10,11]];
G[1494]:=Group([(1,12,13)(2,3,6)(4,8,11)(5,10,7)]);
# Design 1495: autom. group order 3, simple
B[1495]:=[[1,2,3,4,5,6],[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],[1,4,6,8,12,13],[1,4,6,9,10,11],[1,5,6,7,8,9],[1,5,8,10,11,12],[1,6,7,9,12,13],[2,3,6,8,11,13],[2,3,6,9,12,13],[2,4,5,10,12,13],[2,4,6,7,10,11],[2,5,6,7,11,12],[2,5,8,9,11,13],[2,7,8,9,10,12],[3,4,5,8,9,12],[3,4,7,8,11,12],[3,4,7,9,10,13],[3,5,6,7,10,12],[3,6,8,9,10,11],[4,5,6,8,10,13],[4,5,7,9,11,13]];
G[1495]:=Group([(1,4,7)(2,3,8)(5,12,10)(6,11,13)]);
# Design 1496: autom. group order 3, simple, derived
B[1496]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,10,11],[1,2,7,11,12,13],[1,3,5,8,12,13],[1,3,7,9,11,12],[1,4,6,7,10,13],[1,4,6,8,11,12],[1,5,6,7,8,10],[1,5,8,9,11,13],[1,6,9,10,12,13],[2,3,6,7,11,13],[2,3,6,8,9,13],[2,4,5,9,12,13],[2,4,8,10,11,13],[2,5,6,10,11,12],[2,5,7,8,10,12],[2,6,7,8,9,12],[3,4,5,6,11,12],[3,4,7,9,10,12],[3,4,8,10,12,13],[3,5,7,10,11,13],[3,6,8,9,10,11],[4,5,6,7,9,13],[4,5,7,8,9,11]];
G[1496]:=Group([(1,9,11)(2,5,7)(3,4,13)(8,12,10)]);
# Design 1497: autom. group order 3, simple, derived
B[1497]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,11],[1,4,6,8,10,11],[1,4,6,9,12,13],[1,5,6,7,11,12],[1,5,8,10,12,13],[1,6,8,9,10,13],[2,3,6,8,11,13],[2,3,6,9,12,13],[2,4,5,8,10,12],[2,4,7,8,12,13],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,7,10,13],[3,4,9,10,11,12],[3,5,6,8,11,12],[3,7,8,9,10,12],[4,5,6,7,8,9],[4,5,7,9,11,13]];
G[1497]:=Group([(1,4,7)(2,8,3)(5,12,9)(6,13,11)]);
# Design 1498: autom. group order 3, simple, derived
B[1498]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,11],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,6,7,12,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[2,3,6,8,10,13],[2,3,6,9,12,13],[2,4,5,7,10,12],[2,4,7,8,12,13],[2,5,6,8,9,11],[2,5,7,9,11,13],[2,6,8,10,11,12],[3,4,5,10,11,13],[3,4,6,7,10,11],[3,4,9,11,12,13],[3,5,6,7,11,12],[3,7,8,9,10,12],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[1498]:=Group([(1,4,8)(2,7,3)(5,12,9)(6,13,11)]);
# Design 1499: autom. group order 3, simple, derived
B[1499]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,11],[1,4,6,8,11,13],[1,4,6,9,10,12],[1,5,6,7,10,13],[1,5,8,10,11,12],[1,6,7,9,12,13],[2,3,6,8,10,13],[2,3,6,9,12,13],[2,4,5,7,10,12],[2,4,7,8,12,13],[2,5,6,8,11,12],[2,5,7,9,11,13],[2,6,8,9,10,11],[3,4,5,9,11,13],[3,4,6,7,10,11],[3,4,10,11,12,13],[3,5,6,7,11,12],[3,7,8,9,10,12],[4,5,6,7,8,9],[4,5,8,9,10,13]];
G[1499]:=Group([(1,4,8)(2,7,3)(5,12,9)(6,13,11)]);
# Design 1500: autom. group order 3, simple, derived
B[1500]:=[[1,2,3,4,5,6],[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],[1,3,8,9,10,13],[1,4,6,7,10,11],[1,4,6,10,12,13],[1,5,6,8,9,12],[1,5,7,8,10,12],[1,6,7,8,11,13],[2,3,6,7,12,13],[2,3,6,8,10,11],[2,4,5,10,11,13],[2,4,7,8,9,12],[2,5,6,8,11,12],[2,5,7,10,12,13],[2,6,8,9,10,13],[3,4,5,7,8,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,9,11],[3,7,9,10,11,12],[4,5,6,7,9,10],[4,5,8,9,11,13]];
G[1500]:=Group([(1,3,11)(2,10,7)(4,8,6)(5,12,13)]);
# Design 1501: autom. group order 3, simple, derived
B[1501]:=[[1,2,3,4,5,6],[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],[1,4,6,7,10,11],[1,4,6,8,9,12],[1,5,6,9,11,13],[1,5,7,8,11,12],[1,6,8,10,12,13],[2,3,6,8,10,11],[2,3,9,11,12,13],[2,4,5,8,12,13],[2,4,6,7,9,13],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,7,8,9,10,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,8,11,13],[3,5,6,7,8,9],[3,6,7,9,11,12],[4,5,7,9,10,13],[4,5,8,9,10,11]];
G[1501]:=Group([(1,10,12)(2,5,11)(3,4,9)(6,8,13)]);
# Design 1502: autom. group order 3, simple, derived
B[1502]:=[[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],[1,3,7,8,12,13],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,6,7,10,12],[1,5,7,9,10,13],[1,6,8,9,10,11],[2,3,6,10,11,13],[2,3,8,9,10,12],[2,4,5,10,11,12],[2,4,6,7,8,9],[2,5,6,7,12,13],[2,5,6,8,9,13],[2,7,8,10,11,13],[3,4,5,7,9,11],[3,4,6,7,10,13],[3,4,9,10,12,13],[3,5,6,8,11,12],[3,6,7,9,11,12],[4,5,7,8,10,11],[4,5,8,9,12,13]];
G[1502]:=Group([(1,3,10)(2,9,5)(4,12,7)(6,8,13)]);
# Design 1503: autom. group order 3, simple, derived
B[1503]:=[[1,2,3,4,5,6],[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],[1,4,6,7,9,10],[1,4,6,8,10,11],[1,5,6,10,12,13],[1,5,8,9,11,12],[1,6,7,8,9,13],[2,3,6,8,9,13],[2,3,7,8,10,12],[2,4,5,8,11,13],[2,4,9,10,12,13],[2,5,6,7,9,12],[2,5,6,8,10,11],[2,6,7,10,11,13],[3,4,5,6,12,13],[3,4,6,7,11,12],[3,4,9,10,11,13],[3,5,7,9,10,11],[3,6,8,9,11,12],[4,5,7,8,9,13],[4,5,7,8,10,12]];
G[1503]:=Group([(1,4,13)(2,5,7)(3,8,11)(6,9,12)]);
# Design 1504: autom. group order 3, simple, derived
B[1504]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,11,12],[1,3,5,8,11,13],[1,3,7,10,12,13],[1,4,6,9,10,11],[1,4,6,9,12,13],[1,5,6,7,8,9],[1,5,8,10,12,13],[1,6,7,10,11,13],[2,3,6,7,10,12],[2,3,9,11,12,13],[2,4,5,10,11,13],[2,4,8,9,10,13],[2,5,6,7,11,13],[2,5,6,8,10,12],[2,6,7,8,9,13],[3,4,5,7,9,13],[3,4,6,8,10,11],[3,4,6,8,12,13],[3,5,6,9,11,12],[3,7,8,9,10,11],[4,5,7,8,11,12],[4,5,7,9,10,12]];
G[1504]:=Group([(1,7,11)(2,4,12)(3,5,9)(6,10,13)]);
# Design 1505: autom. group order 3, simple
B[1505]:=[[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],[1,3,7,8,12,13],[1,4,6,8,9,10],[1,4,6,9,11,13],[1,5,6,7,10,12],[1,5,9,10,12,13],[1,6,7,8,10,11],[2,3,6,10,12,13],[2,3,8,9,10,11],[2,4,5,7,10,11],[2,4,8,10,12,13],[2,5,6,7,11,13],[2,5,6,8,9,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,6,7,10,13],[3,4,6,9,11,12],[3,5,6,8,11,12],[3,7,9,10,11,13],[4,5,7,8,9,13],[4,5,8,10,11,12]];
G[1505]:=Group([(1,3,10)(2,9,5)(4,11,12)(6,8,13)]);
# Design 1506: autom. group order 3, simple
B[1506]:=[[1,2,3,4,5,6],[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],[1,3,8,9,10,12],[1,4,6,8,10,12],[1,4,6,9,11,13],[1,5,6,7,11,12],[1,5,7,10,12,13],[1,6,7,8,9,13],[2,3,6,7,8,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,7,9,12,13],[2,5,6,7,9,10],[2,5,6,8,11,12],[2,6,8,9,10,11],[3,4,5,7,9,11],[3,4,6,7,10,12],[3,4,6,10,11,13],[3,5,6,9,12,13],[3,7,8,9,11,12],[4,5,7,8,10,11],[4,5,8,9,10,13]];
G[1506]:=Group([(1,8,11)(2,4,10)(3,5,13)(6,9,12)]);
# Design 1507: autom. group order 3, simple, derived
B[1507]:=[[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],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[1,6,8,9,11,13],[2,3,6,8,11,13],[2,3,8,9,12,13],[2,4,7,8,10,13],[2,4,9,10,11,12],[2,5,6,7,11,12],[2,5,6,8,10,12],[2,5,7,10,11,13],[3,4,5,8,11,12],[3,4,6,7,12,13],[3,4,7,9,10,11],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,7,9,13],[4,6,8,9,10,12]];
G[1507]:=Group([(1,4,11)(2,9,6)(3,10,8)(5,12,13)]);
# Design 1508: autom. group order 3, simple, derived
B[1508]:=[[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],[1,3,6,7,12,13],[1,3,9,10,12,13],[1,4,5,8,10,13],[1,4,5,11,12,13],[1,5,7,8,11,12],[1,6,7,8,9,13],[1,6,8,9,10,11],[2,3,6,8,11,13],[2,3,8,10,11,12],[2,4,7,8,10,13],[2,4,9,11,12,13],[2,5,6,7,9,12],[2,5,6,8,12,13],[2,5,7,9,10,13],[3,4,5,8,9,12],[3,4,6,7,10,12],[3,4,7,9,11,13],[3,5,6,10,11,13],[3,5,7,8,9,11],[4,5,6,7,10,11],[4,6,8,9,10,12]];
G[1508]:=Group([(1,4,9)(2,11,6)(3,13,8)(5,12,10)]);
# Design 1509: autom. group order 3, simple
B[1509]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,7,10,11,12],[1,3,8,10,11,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,5,6,7,12,13],[1,6,7,8,9,10],[1,6,8,9,12,13],[2,3,6,8,11,13],[2,3,6,10,12,13],[2,4,7,9,10,13],[2,4,8,9,11,12],[2,5,6,8,9,10],[2,5,7,8,12,13],[2,5,7,10,11,12],[3,4,5,7,8,13],[3,4,6,7,9,12],[3,4,9,10,12,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,10,11,13],[4,6,7,8,10,11]];
G[1509]:=Group([(1,5,8)(2,7,6)(3,13,9)(4,12,10)]);
# Design 1510: autom. group order 3, simple
B[1510]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,11,12],[1,3,6,9,10,13],[1,4,5,7,10,13],[1,4,5,11,12,13],[1,5,7,8,9,12],[1,6,7,8,10,12],[1,8,9,10,11,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,8,10,11],[2,4,8,9,12,13],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,5,7,10,11,12],[3,4,5,8,10,11],[3,4,6,7,9,12],[3,4,7,10,12,13],[3,5,6,11,12,13],[3,5,7,8,9,11],[4,5,6,8,9,13],[4,6,7,9,10,11]];
G[1510]:=Group([(1,2,10)(3,5,9)(4,12,13)(7,11,8)]);
# Design 1511: autom. group order 3, simple, derived
B[1511]:=[[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],[1,3,6,10,11,13],[1,3,7,9,11,13],[1,4,5,7,12,13],[1,4,5,8,9,10],[1,5,6,7,8,11],[1,6,8,9,10,12],[1,7,8,10,12,13],[2,3,6,7,8,12],[2,3,7,9,10,13],[2,4,6,8,9,13],[2,4,8,10,11,13],[2,5,6,10,12,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[3,4,5,10,11,12],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,5,6,8,11,13],[3,5,8,9,12,13],[4,5,6,7,9,13],[4,6,7,9,10,11]];
G[1511]:=Group([(1,4,11)(2,12,13)(5,10,6)(7,8,9)]);
# Design 1512: autom. group order 3, simple, derived
B[1512]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,6,8,11,13],[1,3,9,10,12,13],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,5,6,7,10,12],[1,6,7,8,10,13],[1,7,8,9,11,12],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,12,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[3,4,5,7,11,13],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,5,7,9,10,11],[3,5,8,11,12,13],[4,5,6,8,9,12],[4,6,7,9,10,11]];
G[1512]:=Group([(1,10,11)(2,13,3)(4,8,5)(6,9,12)]);
# Design 1513: autom. group order 3, simple
B[1513]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,8,10,13],[1,3,7,11,12,13],[1,4,5,7,12,13],[1,4,5,8,10,12],[1,5,9,10,11,13],[1,6,7,8,9,10],[1,6,8,9,11,12],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,7,8,10,11],[2,5,8,9,12,13],[3,4,5,6,9,11],[3,4,7,9,10,13],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,12],[4,5,6,7,8,11],[4,6,7,9,10,12]];
G[1513]:=Group([(2,8,13)(3,6,7)(4,10,11)(5,9,12)]);
# Design 1514: autom. group order 3, simple
B[1514]:=[[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],[1,3,6,7,8,11],[1,3,7,9,10,12],[1,4,5,8,9,12],[1,4,5,10,11,13],[1,5,7,8,11,13],[1,6,7,9,10,13],[1,6,8,10,12,13],[2,3,6,9,11,13],[2,3,8,10,12,13],[2,4,6,7,8,10],[2,4,7,10,11,12],[2,5,6,7,12,13],[2,5,7,8,9,13],[2,5,8,9,10,11],[3,4,5,6,10,13],[3,4,7,9,11,13],[3,4,8,9,12,13],[3,5,6,8,11,12],[3,5,7,10,11,12],[4,5,6,7,9,12],[4,6,8,9,10,11]];
G[1514]:=Group([(1,2,7)(3,4,8)(5,10,11)(9,12,13)]);
# Design 1515: autom. group order 3, simple
B[1515]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,6,7,10,13],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,5,7,8,9,12],[1,6,7,10,11,12],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,3,7,10,11,12],[2,4,7,8,10,13],[2,4,9,10,11,13],[2,5,6,7,8,11],[2,5,6,7,9,13],[2,5,8,10,12,13],[3,4,5,6,11,13],[3,4,6,8,10,12],[3,4,7,9,12,13],[3,5,7,9,10,11],[3,5,8,11,12,13],[4,5,6,9,10,12],[4,6,7,8,9,11]];
G[1515]:=Group([(1,10,11)(2,13,3)(4,8,5)(6,7,12)]);
# Design 1516: autom. group order 3, simple
B[1516]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,11],[1,3,7,9,12,13],[1,3,8,10,12,13],[1,4,5,6,12,13],[1,4,5,8,10,11],[1,5,7,9,11,13],[1,6,7,8,11,13],[1,6,8,9,10,12],[2,3,6,7,10,13],[2,3,8,9,11,12],[2,4,6,9,12,13],[2,4,8,9,11,13],[2,5,6,7,8,12],[2,5,7,8,10,13],[2,5,10,11,12,13],[3,4,5,8,9,13],[3,4,6,10,11,13],[3,4,7,10,11,12],[3,5,6,7,9,11],[3,5,6,8,11,12],[4,5,7,9,10,12],[4,6,7,8,9,10]];
G[1516]:=Group([(1,4,10)(2,7,9)(3,12,6)(5,11,8)]);
# Design 1517: autom. group order 3, simple
B[1517]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,11],[1,3,7,11,12,13],[1,3,8,9,11,13],[1,4,5,6,11,13],[1,4,5,8,9,12],[1,5,7,10,12,13],[1,6,7,8,10,13],[1,6,8,9,10,12],[2,3,6,7,9,13],[2,3,8,10,11,12],[2,4,6,10,12,13],[2,4,8,10,11,13],[2,5,6,7,8,12],[2,5,7,8,9,13],[2,5,9,11,12,13],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,12],[3,5,6,7,10,11],[3,5,6,8,11,12],[4,5,7,9,10,11],[4,6,7,8,9,11]];
G[1517]:=Group([(2,7,10)(3,12,6)(4,13,9)(5,11,8)]);
# Design 1518: autom. group order 3, simple
B[1518]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,8,12],[1,3,6,9,12,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,5,6,8,11,13],[1,6,7,9,10,11],[1,8,9,10,12,13],[2,3,6,10,11,13],[2,3,8,9,11,12],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,7,10,12],[2,5,6,8,11,12],[2,5,7,8,9,13],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,9,10,12],[4,6,7,8,9,11]];
G[1518]:=Group([(1,9,10)(2,6,8)(3,7,13)(5,11,12)]);
# Design 1519: autom. group order 3, simple, derived
B[1519]:=[[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],[1,3,6,7,11,12],[1,3,6,9,10,12],[1,4,5,8,10,11],[1,4,5,9,12,13],[1,5,6,8,12,13],[1,6,7,10,11,13],[1,7,8,9,10,13],[2,3,6,8,10,13],[2,3,9,11,12,13],[2,4,6,10,11,13],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,6,7,9,13],[2,5,8,10,11,12],[3,4,5,7,10,13],[3,4,6,8,9,11],[3,4,7,8,12,13],[3,5,7,10,11,12],[3,5,8,9,11,13],[4,5,6,7,9,11],[4,6,8,9,10,12]];
G[1519]:=Group([(1,3,7)(2,4,8)(5,13,9)(6,12,11)]);
# Design 1520: autom. group order 3, simple
B[1520]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,13],[1,3,6,9,12,13],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,5,6,7,8,12],[1,6,7,9,10,11],[1,8,9,10,12,13],[2,3,6,10,11,12],[2,3,7,8,9,12],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,7,10,13],[2,5,6,8,11,12],[2,5,8,9,11,13],[3,4,5,9,11,13],[3,4,6,8,10,13],[3,4,7,10,11,12],[3,5,7,8,9,10],[3,5,7,11,12,13],[4,5,6,9,10,12],[4,6,7,8,9,11]];
G[1520]:=Group([(1,9,10)(2,6,8)(3,7,13)(5,11,12)]);
# Design 1521: autom. group order 3, simple, derived
B[1521]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,11,13],[1,3,6,9,10,12],[1,4,5,7,8,10],[1,4,5,11,12,13],[1,5,6,7,12,13],[1,6,8,10,11,12],[1,7,8,9,10,13],[2,3,6,7,11,13],[2,3,8,10,11,12],[2,4,6,8,10,13],[2,4,8,9,12,13],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,5,7,10,11,12],[3,4,5,10,11,13],[3,4,6,7,9,12],[3,4,7,10,12,13],[3,5,7,8,9,11],[3,5,8,9,12,13],[4,5,6,8,9,11],[4,6,7,9,10,11]];
G[1521]:=Group([(1,9,12)(2,4,11)(3,6,10)(5,7,8)]);
# Design 1522: autom. group order 3, simple, derived
B[1522]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,9,10],[1,3,6,11,12,13],[1,4,5,7,8,12],[1,4,5,10,11,13],[1,5,7,10,12,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,7,11,12],[2,3,7,10,12,13],[2,4,6,8,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,5,8,9,11,13],[3,4,5,6,11,13],[3,4,7,9,10,13],[3,4,8,9,12,13],[3,5,7,8,9,11],[3,5,8,10,11,12],[4,5,6,7,9,12],[4,6,7,9,10,11]];
G[1522]:=Group([(1,3,6)(2,11,8)(4,12,10)(5,13,9)]);
# Design 1523: autom. group order 3, simple
B[1523]:=[[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],[1,3,6,9,10,13],[1,3,8,10,12,13],[1,4,5,6,11,13],[1,4,5,8,12,13],[1,5,7,9,11,12],[1,6,7,8,9,11],[1,6,7,8,10,12],[2,3,6,8,11,12],[2,3,6,9,12,13],[2,4,7,9,12,13],[2,4,8,9,10,11],[2,5,6,7,10,12],[2,5,6,8,11,13],[2,5,7,8,10,13],[3,4,5,8,9,10],[3,4,6,7,10,11],[3,4,7,11,12,13],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,9,10,12],[4,6,7,8,9,13]];
G[1523]:=Group([(1,7,10)(2,3,11)(5,13,9)(6,12,8)]);
# Design 1524: autom. group order 3, simple, derived
B[1524]:=[[1,2,3,4,5,6],[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],[1,4,5,6,12,13],[1,4,5,8,11,13],[1,5,8,9,10,12],[1,6,7,9,10,13],[1,6,8,10,11,12],[2,3,6,8,9,12],[2,3,10,11,12,13],[2,4,6,8,10,13],[2,4,7,8,10,12],[2,5,6,7,9,11],[2,5,6,7,12,13],[2,5,8,9,11,13],[3,4,5,7,10,11],[3,4,6,9,10,13],[3,4,9,11,12,13],[3,5,6,8,10,11],[3,5,7,8,12,13],[4,5,7,9,10,12],[4,6,7,8,9,11]];
G[1524]:=Group([(1,4,7)(2,8,3)(5,10,13)(6,12,9)]);
# Design 1525: autom. group order 3, simple
B[1525]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,8,11,13],[1,3,8,10,11,12],[1,4,5,6,11,13],[1,4,5,7,10,12],[1,5,8,9,12,13],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,10,12,13],[2,4,8,9,10,13],[2,5,6,7,11,12],[2,5,6,8,9,11],[2,5,7,8,12,13],[3,4,5,7,8,13],[3,4,6,9,12,13],[3,4,7,9,11,12],[3,5,6,7,9,10],[3,5,10,11,12,13],[4,5,8,9,10,11],[4,6,7,8,10,11]];
G[1525]:=Group([(1,5,7)(2,13,6)(3,8,9)(4,12,10)]);
# Design 1526: autom. group order 3, simple
B[1526]:=[[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],[1,3,6,8,10,11],[1,3,8,9,12,13],[1,4,5,6,12,13],[1,4,5,8,10,11],[1,5,7,9,10,12],[1,6,7,8,9,13],[1,6,7,10,11,13],[2,3,6,9,10,13],[2,3,10,11,12,13],[2,4,6,7,9,11],[2,4,7,8,10,13],[2,5,6,8,9,11],[2,5,6,8,12,13],[2,5,7,8,10,12],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,8,9,11,12],[3,5,6,7,11,12],[3,5,7,8,11,13],[4,5,9,10,11,13],[4,6,8,9,10,12]];
G[1526]:=Group([(1,5,12)(3,8,11)(4,6,13)(7,9,10)]);
# Design 1527: autom. group order 3, simple, derived
B[1527]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,11,12,13],[1,3,6,8,10,11],[1,3,7,9,10,13],[1,4,5,8,11,13],[1,4,5,10,12,13],[1,5,6,7,8,9],[1,6,7,10,11,12],[1,6,8,9,12,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,6,8,9,11],[2,4,6,9,10,12],[2,5,6,7,9,13],[2,5,7,8,10,12],[2,5,8,10,11,13],[3,4,5,6,12,13],[3,4,7,9,11,13],[3,4,8,9,10,12],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,7,9,10,11],[4,6,7,8,10,13]];
G[1527]:=Group([(1,3,12)(2,5,11)(4,6,7)(8,13,10)]);
# Design 1528: autom. group order 3, simple, derived
B[1528]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,9,11,12,13],[1,3,6,8,11,13],[1,3,7,8,9,13],[1,4,5,8,10,12],[1,4,5,10,11,13],[1,5,6,7,9,13],[1,6,7,10,11,12],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,6,8,9,12],[2,4,6,9,11,13],[2,5,6,7,9,10],[2,5,7,8,12,13],[2,5,8,10,11,13],[3,4,5,6,12,13],[3,4,7,9,10,11],[3,4,9,10,12,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,7,8,9,11],[4,6,7,8,10,13]];
G[1528]:=Group([(1,3,12)(2,5,11)(4,6,7)(8,13,10)]);
# Design 1529: autom. group order 3, simple, derived
B[1529]:=[[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],[1,3,6,10,11,12],[1,3,7,9,12,13],[1,4,5,8,10,12],[1,4,5,9,11,13],[1,5,6,7,10,13],[1,6,7,8,10,11],[1,6,8,9,12,13],[2,3,6,8,11,12],[2,3,9,10,11,13],[2,4,6,7,9,10],[2,4,6,10,12,13],[2,5,6,7,9,12],[2,5,7,8,12,13],[2,5,8,10,11,13],[3,4,5,7,11,12],[3,4,6,8,9,13],[3,4,7,8,10,13],[3,5,6,7,11,13],[3,5,8,9,10,12],[4,5,6,8,9,11],[4,7,9,10,11,12]];
G[1529]:=Group([(1,3,8)(2,4,7)(5,13,11)(6,10,9)]);
# Design 1530: autom. group order 3, simple, derived
B[1530]:=[[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],[1,3,6,11,12,13],[1,3,8,10,11,12],[1,4,5,7,12,13],[1,4,5,8,11,13],[1,5,6,8,9,13],[1,6,7,8,10,11],[1,6,7,9,10,12],[2,3,6,7,8,13],[2,3,8,10,12,13],[2,4,6,8,9,12],[2,4,6,10,11,13],[2,5,6,7,11,12],[2,5,7,10,11,13],[2,5,8,9,11,12],[3,4,5,7,10,12],[3,4,6,7,9,11],[3,4,9,11,12,13],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,6,8,10,12],[4,7,8,9,10,13]];
G[1530]:=Group([(1,5,12)(2,11,3)(4,7,13)(8,10,9)]);
# Design 1531: autom. group order 3, simple, derived
B[1531]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,13],[1,3,6,7,10,11],[1,3,8,11,12,13],[1,4,5,10,11,13],[1,4,7,9,11,12],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,6,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,10,11],[2,4,5,8,9,12],[2,4,7,10,12,13],[2,5,6,9,11,13],[2,5,7,10,11,12],[2,6,7,8,11,13],[3,4,5,8,11,13],[3,4,6,9,12,13],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,7,9,11,12],[4,5,6,7,8,10],[4,6,8,9,10,11]];
G[1531]:=Group([(1,7,10)(2,12,8)(3,11,6)(4,5,9)]);
# Design 1532: autom. group order 3, simple, derived
B[1532]:=[[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],[1,3,6,7,11,12],[1,3,8,11,12,13],[1,4,5,10,11,12],[1,4,8,9,10,13],[1,5,6,7,8,13],[1,5,7,8,9,12],[1,6,9,10,11,13],[2,3,6,8,10,13],[2,3,7,9,11,13],[2,4,5,11,12,13],[2,4,7,9,12,13],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,8,10,11,12],[3,4,5,8,11,13],[3,4,6,7,10,12],[3,4,8,9,10,12],[3,5,6,9,12,13],[3,5,7,9,10,11],[4,5,6,7,10,13],[4,6,7,8,9,11]];
G[1532]:=Group([(1,8,13)(3,10,7)(4,6,12)(5,11,9)]);
# Design 1533: autom. group order 3, simple
B[1533]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,8,9,11],[1,3,6,7,9,13],[1,3,9,10,11,12],[1,4,5,7,10,12],[1,4,8,10,11,13],[1,5,6,8,12,13],[1,5,7,11,12,13],[1,6,8,9,10,13],[2,3,7,10,12,13],[2,3,8,11,12,13],[2,4,5,9,11,13],[2,4,9,10,12,13],[2,5,6,7,10,13],[2,5,6,8,10,11],[2,6,7,8,9,12],[3,4,5,8,9,13],[3,4,6,7,11,13],[3,4,6,8,10,12],[3,5,6,9,11,12],[3,5,7,8,10,11],[4,5,7,8,9,12],[4,6,7,9,10,11]];
G[1533]:=Group([(1,2,13)(3,10,6)(4,12,8)(5,7,9)]);
# Design 1534: autom. group order 3, simple
B[1534]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,6,11,12],[1,2,7,9,11,13],[1,3,6,10,12,13],[1,3,8,9,12,13],[1,4,5,8,11,12],[1,4,7,9,10,12],[1,5,6,9,11,13],[1,5,7,8,10,11],[1,6,7,8,10,13],[2,3,8,9,10,11],[2,3,8,11,12,13],[2,4,5,9,10,13],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,6,8,10,12],[2,6,7,9,11,12],[3,4,5,7,11,13],[3,4,6,7,8,9],[3,4,6,10,11,13],[3,5,6,7,9,12],[3,5,7,10,11,12],[4,5,8,9,12,13],[4,6,8,9,10,11]];
G[1534]:=Group([(1,5,12)(2,7,13)(4,11,8)(6,10,9)]);
# Design 1535: autom. group order 3, simple, derived
B[1535]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,12],[1,4,5,9,12,13],[1,4,8,10,11,12],[1,5,6,8,10,13],[1,5,7,10,11,13],[1,7,8,9,12,13],[2,3,7,8,10,13],[2,3,9,11,12,13],[2,4,5,8,9,13],[2,4,6,10,11,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,7,10,12],[3,4,6,8,12,13],[3,4,9,10,11,13],[3,5,6,8,11,12],[3,5,7,8,9,11],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[1535]:=Group([(1,9,11)(2,6,8)(3,7,12)(4,10,5)]);
# Design 1536: autom. group order 3, simple, derived
B[1536]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,6,7,10,13],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,8,9,10,13],[1,5,6,8,11,12],[1,5,7,11,12,13],[1,7,8,9,10,12],[2,3,8,9,11,13],[2,3,10,11,12,13],[2,4,5,8,12,13],[2,4,6,7,10,12],[2,5,6,8,10,13],[2,5,7,9,10,12],[2,6,7,9,11,13],[3,4,5,7,9,11],[3,4,6,10,11,12],[3,4,7,8,12,13],[3,5,6,8,9,12],[3,5,7,8,10,11],[4,5,6,7,9,13],[4,6,8,9,10,11]];
G[1536]:=Group([(1,2,11)(3,13,5)(4,9,12)(6,8,7)]);
# Design 1537: autom. group order 3, simple, derived
B[1537]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,6,8,10,11],[1,3,6,9,12,13],[1,4,5,10,11,13],[1,4,7,8,9,13],[1,5,6,7,11,12],[1,5,8,11,12,13],[1,7,8,9,10,12],[2,3,7,9,11,13],[2,3,10,11,12,13],[2,4,5,7,12,13],[2,4,6,8,10,12],[2,5,6,8,9,12],[2,5,7,8,10,11],[2,6,8,9,11,13],[3,4,5,8,9,11],[3,4,6,7,11,12],[3,4,8,10,12,13],[3,5,6,7,8,13],[3,5,7,9,10,12],[4,5,6,9,10,13],[4,6,7,9,10,11]];
G[1537]:=Group([(1,2,11)(3,13,5)(4,9,12)(6,7,8)]);
# Design 1538: autom. group order 3, simple
B[1538]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,10,11],[1,3,6,11,12,13],[1,3,8,9,12,13],[1,4,5,6,8,12],[1,4,8,10,11,13],[1,5,7,8,10,13],[1,5,7,9,11,13],[1,6,7,9,10,12],[2,3,6,8,9,13],[2,3,7,10,12,13],[2,4,5,10,12,13],[2,4,8,9,11,13],[2,5,6,11,12,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,9,10,11],[3,4,6,7,10,13],[3,4,7,9,11,12],[3,5,6,7,8,11],[3,5,8,10,11,12],[4,5,6,7,9,13],[4,6,8,9,10,12]];
G[1538]:=Group([(1,3,10)(2,5,9)(4,11,6)(7,8,12)]);
# Design 1539: autom. group order 3, simple, derived
B[1539]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,5,6,10,12],[1,4,7,11,12,13],[1,5,7,9,11,13],[1,5,8,10,12,13],[1,6,8,9,10,11],[2,3,6,9,12,13],[2,3,7,10,11,12],[2,4,5,9,11,13],[2,4,8,10,12,13],[2,5,6,8,11,12],[2,5,7,8,10,11],[2,6,7,9,10,13],[3,4,5,7,10,13],[3,4,6,8,11,13],[3,4,8,9,10,11],[3,5,6,7,11,12],[3,5,8,9,12,13],[4,5,6,7,8,9],[4,6,7,9,10,12]];
G[1539]:=Group([(1,6,12)(2,9,8)(3,7,13)(4,10,5)]);
# Design 1540: autom. group order 3, simple, derived
B[1540]:=[[1,2,3,4,5,6],[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],[1,3,7,8,12,13],[1,4,5,6,11,13],[1,4,8,10,11,12],[1,5,7,8,9,13],[1,5,8,9,10,11],[1,6,7,9,10,12],[2,3,6,8,9,11],[2,3,10,11,12,13],[2,4,5,7,10,12],[2,4,7,9,10,13],[2,5,6,7,8,12],[2,5,8,11,12,13],[2,6,8,9,10,13],[3,4,5,8,10,13],[3,4,6,8,9,12],[3,4,7,9,11,13],[3,5,6,7,10,11],[3,5,7,9,11,12],[4,5,6,9,12,13],[4,6,7,8,10,11]];
G[1540]:=Group([(2,7,9)(3,8,5)(4,13,10)(6,12,11)]);
# Design 1541: autom. group order 3, simple, derived
B[1541]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,6,9,11,13],[1,3,7,9,10,12],[1,4,5,6,12,13],[1,4,8,9,10,13],[1,5,7,10,11,12],[1,5,8,11,12,13],[1,6,7,8,10,13],[2,3,6,10,11,13],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,7,9,12,13],[2,5,6,7,10,12],[2,5,7,8,9,13],[2,6,8,9,11,12],[3,4,5,7,8,11],[3,4,6,7,12,13],[3,4,8,10,11,12],[3,5,6,8,9,12],[3,5,7,9,11,13],[4,5,6,8,9,10],[4,6,7,9,10,11]];
G[1541]:=Group([(1,3,8)(2,4,7)(5,11,6)(9,12,13)]);
# Design 1542: autom. group order 3, simple
B[1542]:=[[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],[1,3,6,9,11,12],[1,3,7,9,10,12],[1,4,5,6,9,13],[1,4,8,10,12,13],[1,5,7,9,11,13],[1,5,8,10,11,12],[1,6,7,8,10,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,9,12],[2,6,8,9,10,11],[3,4,5,7,8,11],[3,4,6,7,10,12],[3,4,8,9,11,13],[3,5,6,8,12,13],[3,5,7,10,11,13],[4,5,6,8,9,10],[4,6,7,9,11,12]];
G[1542]:=Group([(1,3,8)(2,4,7)(5,11,6)(9,13,10)]);
# Design 1543: autom. group order 3, simple
B[1543]:=[[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],[1,3,6,9,11,12],[1,3,7,10,12,13],[1,4,5,6,10,13],[1,4,8,9,10,12],[1,5,7,9,10,11],[1,5,8,11,12,13],[1,6,7,8,9,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,9,11,12],[2,4,7,9,10,13],[2,5,6,7,12,13],[2,5,7,8,10,12],[2,6,8,9,10,11],[3,4,5,7,8,11],[3,4,6,7,9,12],[3,4,8,10,11,13],[3,5,6,8,10,12],[3,5,7,9,11,13],[4,5,6,8,9,13],[4,6,7,10,11,12]];
G[1543]:=Group([(1,3,8)(2,4,7)(5,11,6)(9,10,13)]);
# Design 1544: autom. group order 3, simple, derived
B[1544]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,8,11],[1,3,6,10,11,12],[1,3,7,9,10,13],[1,4,5,6,12,13],[1,4,8,9,10,12],[1,5,7,11,12,13],[1,5,8,9,11,13],[1,6,7,8,10,13],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,7,10,12,13],[2,5,6,8,9,13],[2,5,7,8,10,12],[2,6,7,9,11,12],[3,4,5,7,8,11],[3,4,6,8,12,13],[3,4,7,9,11,13],[3,5,6,7,9,12],[3,5,8,10,11,12],[4,5,6,7,9,10],[4,6,8,9,10,11]];
G[1544]:=Group([(1,3,7)(2,4,8)(5,11,6)(9,13,10)]);
# Design 1545: autom. group order 3, simple, derived
B[1545]:=[[1,2,3,4,5,6],[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],[2,4,6,8,10,12],[2,5,6,7,10,13],[2,5,8,9,12,13],[2,6,8,9,11,13],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,8,9],[3,5,6,10,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[1545]:=Group([(1,5,12)(2,13,3)(4,7,6)(8,10,9)]);
# Design 1546: autom. group order 3, simple, derived
B[1546]:=[[1,2,3,4,5,6],[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],[2,4,6,9,10,12],[2,5,6,7,11,13],[2,5,8,9,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,10,12,13],[3,4,7,9,10,11],[3,5,6,7,9,11],[3,5,6,8,9,12],[4,5,7,10,11,12],[4,6,8,9,11,13]];
G[1546]:=Group([(1,5,12)(2,13,3)(4,7,6)(8,11,10)]);
# Design 1547: autom. group order 3, simple, derived
B[1547]:=[[1,2,3,4,5,6],[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],[1,3,7,9,12,13],[1,4,5,10,11,13],[1,4,6,8,11,12],[1,5,6,7,9,11],[1,5,8,10,12,13],[1,7,8,9,10,12],[2,3,6,10,12,13],[2,3,8,9,10,11],[2,4,5,7,10,12],[2,4,6,9,12,13],[2,5,7,9,11,13],[2,5,8,11,12,13],[2,6,7,8,10,11],[3,4,5,7,8,13],[3,4,7,10,11,12],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,9,12],[4,5,6,8,9,10],[4,6,7,9,10,13]];
G[1547]:=Group([(1,4,7)(2,3,8)(5,13,6)(9,11,10)]);
# Design 1548: autom. group order 3, simple
B[1548]:=[[1,2,3,4,5,6],[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],[1,3,7,11,12,13],[1,4,5,9,12,13],[1,4,6,8,10,12],[1,5,6,7,9,11],[1,5,8,10,12,13],[1,7,8,9,10,11],[2,3,6,9,12,13],[2,3,8,10,11,12],[2,4,5,7,10,11],[2,4,6,10,11,13],[2,5,7,10,12,13],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,7,8,13],[3,4,7,9,10,12],[3,4,8,9,11,13],[3,5,6,7,11,12],[3,5,6,8,9,10],[4,5,6,8,11,12],[4,6,7,9,10,13]];
G[1548]:=Group([(1,4,7)(2,3,8)(5,13,6)(10,11,12)]);
# Design 1549: autom. group order 3, simple, derived
B[1549]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,11,12,13],[1,3,6,7,9,13],[1,3,8,10,11,13],[1,4,5,10,12,13],[1,4,6,7,8,11],[1,5,6,8,9,10],[1,5,7,8,12,13],[1,7,9,10,11,12],[2,3,6,8,10,12],[2,3,7,10,12,13],[2,4,5,7,9,13],[2,4,6,10,11,13],[2,5,7,8,10,11],[2,5,8,9,11,13],[2,6,7,8,9,12],[3,4,5,8,11,12],[3,4,7,9,10,11],[3,4,8,9,12,13],[3,5,6,7,11,13],[3,5,6,9,11,12],[4,5,6,7,10,12],[4,6,8,9,10,13]];
G[1549]:=Group([(1,3,11)(2,5,12)(4,6,9)(8,13,10)]);
# Design 1550: autom. group order 3, simple
B[1550]:=[[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],[1,3,6,8,11,12],[1,3,7,10,12,13],[1,4,5,8,10,12],[1,4,6,8,9,13],[1,5,6,7,10,13],[1,5,7,9,11,12],[1,8,9,10,11,13],[2,3,6,10,11,13],[2,3,7,8,9,12],[2,4,5,9,10,11],[2,4,7,10,12,13],[2,5,6,7,8,13],[2,5,8,9,12,13],[2,6,8,10,11,12],[3,4,5,8,11,13],[3,4,6,9,10,12],[3,4,7,9,11,13],[3,5,6,9,12,13],[3,5,7,8,10,11],[4,5,6,7,11,12],[4,6,7,8,9,10]];
G[1550]:=Group([(1,4,10)(2,9,13)(3,6,7)(5,8,12)]);
# Design 1551: autom. group order 3, simple, derived
B[1551]:=[[1,2,3,4,5,6],[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],[1,4,5,7,11,12],[1,4,6,9,10,13],[1,5,6,7,8,12],[1,5,8,10,11,13],[1,8,9,10,11,12],[2,3,7,9,10,12],[2,3,8,11,12,13],[2,4,5,10,12,13],[2,4,6,8,10,11],[2,5,6,8,9,13],[2,5,7,9,11,13],[2,6,7,8,10,12],[3,4,5,8,12,13],[3,4,6,8,9,11],[3,4,7,10,11,13],[3,5,6,7,10,11],[3,5,6,9,11,12],[4,5,7,8,9,10],[4,6,7,9,12,13]];
G[1551]:=Group([(1,3,11)(2,6,12)(4,5,9)(7,10,8)]);
# Design 1552: autom. group order 3, simple
B[1552]:=[[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],[1,3,6,8,11,13],[1,3,7,8,9,13],[1,4,5,7,11,12],[1,4,6,10,12,13],[1,5,6,7,9,13],[1,5,8,10,12,13],[1,8,9,10,11,12],[2,3,7,10,12,13],[2,3,9,11,12,13],[2,4,5,8,10,13],[2,4,6,9,12,13],[2,5,6,8,11,13],[2,5,7,8,9,12],[2,6,7,8,10,11],[3,4,5,8,11,12],[3,4,6,8,9,12],[3,4,7,10,11,13],[3,5,6,7,10,12],[3,5,6,9,10,11],[4,5,7,9,11,13],[4,6,7,8,9,10]];
G[1552]:=Group([(1,3,10)(2,5,9)(4,6,11)(7,12,8)]);
# Design 1553: autom. group order 3, simple
B[1553]:=[[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],[1,3,7,10,12,13],[1,4,5,7,8,13],[1,4,6,8,9,12],[1,5,6,8,10,11],[1,5,7,9,10,12],[1,8,9,10,11,13],[2,3,7,8,10,11],[2,3,8,9,11,12],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,5,6,8,10,12],[2,5,7,9,12,13],[2,6,7,8,9,13],[3,4,5,9,11,12],[3,4,6,7,9,10],[3,4,8,10,12,13],[3,5,6,7,11,13],[3,5,6,8,12,13],[4,5,7,8,9,11],[4,6,7,10,11,12]];
G[1553]:=Group([(1,9,12)(2,13,3)(4,6,8)(5,7,10)]);
# Design 1554: autom. group order 3, simple
B[1554]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,9,11,12],[1,3,8,10,12,13],[1,4,5,7,10,12],[1,4,6,8,9,13],[1,5,6,7,10,13],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,5,6,8,9,13],[2,5,7,8,9,12],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,11],[3,4,7,9,10,13],[3,5,6,7,8,12],[3,5,6,9,10,11],[4,5,7,9,11,13],[4,6,8,9,10,12]];
G[1554]:=Group([(1,10,11)(2,12,5)(3,6,13)(7,8,9)]);
# Design 1555: autom. group order 3, simple
B[1555]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,6,7,11,12],[1,3,8,10,12,13],[1,4,5,8,10,12],[1,4,6,7,8,13],[1,5,6,9,10,13],[1,5,7,11,12,13],[1,7,8,9,10,11],[2,3,7,9,12,13],[2,3,8,10,11,13],[2,4,5,7,10,11],[2,4,6,10,12,13],[2,5,6,7,8,13],[2,5,7,8,9,12],[2,6,8,10,11,12],[3,4,5,11,12,13],[3,4,6,8,9,11],[3,4,7,9,10,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,8,9,11,13],[4,6,7,9,10,12]];
G[1555]:=Group([(1,10,11)(2,12,5)(3,6,13)(7,9,8)]);
# Design 1556: autom. group order 3, simple, derived
B[1556]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,6,10,11,13],[1,3,7,10,12,13],[1,4,5,7,10,12],[1,4,6,7,8,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,7,8,11,12],[2,3,8,9,12,13],[2,4,5,8,10,11],[2,4,6,10,12,13],[2,5,6,7,8,13],[2,5,7,9,10,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,7,9,11],[3,4,8,9,10,13],[3,5,6,7,9,12],[3,5,6,8,10,11],[4,5,7,9,11,13],[4,6,8,9,10,12]];
G[1556]:=Group([(1,10,11)(2,12,5)(3,6,13)(7,8,9)]);
# Design 1557: autom. group order 3, simple
B[1557]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,7,11,12],[1,3,8,9,10,11],[1,4,5,11,12,13],[1,4,6,10,11,13],[1,5,7,8,10,13],[1,5,8,9,12,13],[1,6,7,8,10,12],[2,3,6,8,12,13],[2,3,10,11,12,13],[2,4,5,8,10,12],[2,4,7,9,10,13],[2,5,6,7,10,11],[2,5,6,8,11,13],[2,7,8,9,11,12],[3,4,5,7,8,11],[3,4,6,8,9,13],[3,4,7,10,12,13],[3,5,6,9,10,12],[3,5,7,9,11,13],[4,5,6,7,9,12],[4,6,8,9,10,11]];
G[1557]:=Group([(1,3,13)(2,12,5)(4,10,8)(6,11,9)]);
# Design 1558: autom. group order 3, simple, derived
B[1558]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,6,10,11,13],[1,3,8,9,11,12],[1,4,5,8,10,13],[1,4,6,7,10,12],[1,5,7,8,11,12],[1,5,9,10,12,13],[1,6,7,8,9,13],[2,3,6,8,12,13],[2,3,7,9,10,11],[2,4,5,8,11,13],[2,4,10,11,12,13],[2,5,6,7,10,12],[2,5,6,8,9,12],[2,7,8,9,10,13],[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[1558]:=Group([(1,2,10)(3,9,5)(4,7,13)(6,11,12)]);
# Design 1559: autom. group order 3, simple
B[1559]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,6,7,8,13],[1,3,7,10,11,12],[1,4,5,8,10,12],[1,4,6,10,12,13],[1,5,7,10,11,13],[1,5,8,9,12,13],[1,6,7,8,9,11],[2,3,6,10,12,13],[2,3,8,11,12,13],[2,4,5,7,8,13],[2,4,7,10,11,13],[2,5,6,7,9,10],[2,5,6,8,11,12],[2,7,8,9,10,12],[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],[4,5,6,7,11,12],[4,6,8,9,10,13]];
G[1559]:=Group([(1,2,7)(3,4,8)(5,13,6)(9,10,11)]);
# Design 1560: autom. group order 3, simple, derived
B[1560]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,6,7,12,13],[1,3,8,10,11,12],[1,4,5,7,11,13],[1,4,6,8,10,12],[1,5,7,9,10,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,7,8,11,12],[2,3,7,9,10,13],[2,4,5,8,10,13],[2,4,8,9,12,13],[2,5,6,7,8,11],[2,5,6,7,10,12],[2,6,10,11,12,13],[3,4,5,6,12,13],[3,4,6,9,10,11],[3,4,7,10,11,13],[3,5,6,8,9,11],[3,5,8,9,12,13],[4,5,7,9,11,12],[4,6,7,8,9,10]];
G[1560]:=Group([(2,10,13)(3,8,6)(4,12,7)(5,11,9)]);
# Design 1561: autom. group order 3, simple
B[1561]:=[[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],[1,3,6,10,11,12],[1,3,8,10,12,13],[1,4,5,8,11,13],[1,4,7,9,10,13],[1,5,6,7,12,13],[1,5,6,8,9,10],[1,7,8,9,11,12],[2,3,6,8,11,13],[2,3,7,9,12,13],[2,4,5,10,11,12],[2,4,8,9,10,12],[2,5,6,7,8,12],[2,5,7,8,10,13],[2,6,9,10,11,13],[3,4,5,7,9,11],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,9,12,13],[4,6,7,8,10,11]];
G[1561]:=Group([(1,4,10)(2,12,3)(5,11,6)(7,9,13)]);
# Design 1562: autom. group order 3, simple
B[1562]:=[[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],[1,3,8,9,12,13],[1,4,5,8,10,11],[1,4,7,9,10,12],[1,5,6,7,8,9],[1,5,6,10,12,13],[1,7,8,10,11,13],[2,3,6,8,10,11],[2,3,7,10,12,13],[2,4,5,9,11,13],[2,4,8,9,10,13],[2,5,6,8,12,13],[2,5,7,8,9,12],[2,6,7,9,10,11],[3,4,5,7,11,12],[3,4,6,7,9,13],[3,4,6,8,10,12],[3,5,7,8,11,13],[3,5,9,10,11,12],[4,5,6,7,10,13],[4,6,8,9,11,12]];
G[1562]:=Group([(1,4,9)(2,13,3)(5,11,6)(7,10,12)]);
# Design 1563: autom. group order 3, simple, derived
B[1563]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,9,11,13],[1,3,6,10,11,12],[1,3,9,10,12,13],[1,4,5,8,9,13],[1,4,8,10,11,13],[1,5,6,7,8,10],[1,5,6,7,12,13],[1,7,8,9,11,12],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,5,10,11,12],[2,4,6,9,12,13],[2,5,6,8,9,11],[2,5,7,10,12,13],[2,6,7,8,10,13],[3,4,5,8,12,13],[3,4,6,7,9,10],[3,4,6,7,11,13],[3,5,6,8,11,12],[3,5,7,9,11,13],[4,5,7,9,10,11],[4,6,8,9,10,12]];
G[1563]:=Group([(1,9,13)(2,4,10)(3,6,8)(5,12,11)]);
# Design 1564: autom. group order 3, simple, derived
B[1564]:=[[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],[1,3,6,10,11,12],[1,3,7,8,9,13],[1,4,5,8,10,12],[1,4,7,9,10,12],[1,5,6,7,12,13],[1,5,8,10,11,13],[1,6,8,9,11,13],[2,3,7,8,11,12],[2,3,9,10,12,13],[2,4,5,6,9,13],[2,4,6,8,10,11],[2,5,7,8,10,13],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,7,11,13],[3,4,6,8,12,13],[3,4,9,10,11,13],[3,5,6,7,10,11],[3,5,6,8,9,12],[4,5,7,9,11,12],[4,6,7,8,9,10]];
G[1564]:=Group([(1,2,13)(3,10,8)(4,12,11)(5,7,9)]);
# Design 1565: autom. group order 3, simple, derived
B[1565]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,9,13],[1,3,6,8,11,13],[1,3,8,10,11,12],[1,4,5,11,12,13],[1,4,7,10,12,13],[1,5,6,9,10,12],[1,5,7,8,10,13],[1,6,7,8,9,11],[2,3,7,11,12,13],[2,3,9,10,11,13],[2,4,5,8,10,11],[2,4,6,8,10,13],[2,5,6,7,11,12],[2,5,6,8,12,13],[2,7,8,9,10,12],[3,4,5,7,9,13],[3,4,6,7,10,12],[3,4,6,8,9,12],[3,5,6,7,10,11],[3,5,8,9,12,13],[4,5,7,8,9,11],[4,6,9,10,11,13]];
G[1565]:=Group([(2,8,12)(3,11,4)(5,6,13)(7,10,9)]);
# Design 1566: autom. group order 3, simple
B[1566]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,6,8,9,11],[1,3,6,11,12,13],[1,3,9,10,12,13],[1,4,5,9,11,13],[1,4,8,10,12,13],[1,5,6,7,8,12],[1,5,7,8,10,13],[1,6,7,9,10,11],[2,3,7,8,9,13],[2,3,8,10,11,12],[2,4,5,9,10,12],[2,4,6,10,11,13],[2,5,6,7,10,13],[2,5,8,11,12,13],[2,6,7,9,12,13],[3,4,5,7,11,13],[3,4,6,7,10,12],[3,4,6,8,9,13],[3,5,6,8,10,11],[3,5,7,9,11,12],[4,5,6,8,9,12],[4,7,8,9,10,11]];
G[1566]:=Group([(1,2,13)(3,7,10)(4,6,12)(5,9,8)]);
# Design 1567: autom. group order 3, simple
B[1567]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,10,11,13],[1,3,6,11,12,13],[1,3,7,9,12,13],[1,4,5,7,10,12],[1,4,8,10,12,13],[1,5,6,7,8,13],[1,5,8,9,10,11],[1,6,7,8,9,11],[2,3,7,8,9,13],[2,3,7,10,11,12],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,5,6,9,12,13],[2,5,7,8,11,12],[2,6,8,9,10,12],[3,4,5,9,11,13],[3,4,6,8,9,10],[3,4,6,8,11,12],[3,5,6,7,10,11],[3,5,8,10,12,13],[4,5,6,7,9,12],[4,7,9,10,11,13]];
G[1567]:=Group([(1,11,12)(2,4,9)(3,13,6)(7,10,8)]);
# Design 1568: autom. group order 3, simple, derived
B[1568]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,7,8,10,13],[1,3,9,11,12,13],[1,4,5,7,10,12],[1,4,6,8,12,13],[1,5,6,8,9,11],[1,5,8,10,11,13],[1,6,7,9,10,12],[2,3,7,10,11,12],[2,3,8,9,12,13],[2,4,5,10,11,13],[2,4,6,9,10,13],[2,5,6,7,8,12],[2,5,7,8,9,13],[2,6,8,10,11,12],[3,4,5,8,11,12],[3,4,6,7,11,13],[3,4,6,8,9,10],[3,5,6,7,9,11],[3,5,6,10,12,13],[4,5,7,9,12,13],[4,7,8,9,10,11]];
G[1568]:=Group([(1,10,11)(2,9,7)(3,4,6)(5,8,13)]);
# Design 1569: autom. group order 3, simple, derived
B[1569]:=[[1,2,3,4,5,6],[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],[1,3,6,8,12,13],[1,4,5,6,12,13],[1,4,9,10,11,13],[1,5,7,8,10,13],[1,5,7,10,11,12],[1,6,8,9,10,12],[2,3,6,8,10,11],[2,3,9,10,12,13],[2,4,5,8,10,12],[2,4,6,7,10,13],[2,5,6,7,11,12],[2,5,8,9,11,13],[2,6,7,9,12,13],[3,4,5,7,9,13],[3,4,7,10,11,12],[3,4,8,11,12,13],[3,5,6,10,11,13],[3,5,7,8,9,12],[4,5,6,8,9,11],[4,6,7,8,9,10]];
G[1569]:=Group([(1,6,7)(2,8,12)(3,9,11)(4,10,5)]);
# Design 1570: autom. group order 3, simple
B[1570]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,8,11],[1,3,6,10,12,13],[1,4,5,6,8,13],[1,4,8,9,10,12],[1,5,7,9,11,13],[1,5,8,10,11,12],[1,6,7,9,10,13],[2,3,6,10,11,12],[2,3,8,9,11,13],[2,4,5,10,11,13],[2,4,7,8,10,13],[2,5,6,7,9,10],[2,5,6,8,12,13],[2,6,7,8,9,12],[3,4,5,7,9,12],[3,4,6,9,11,13],[3,4,7,10,12,13],[3,5,7,8,10,11],[3,5,8,9,12,13],[4,5,6,7,11,12],[4,6,8,9,10,11]];
G[1570]:=Group([(1,8,9)(2,5,6)(3,13,7)(4,12,10)]);
# Design 1571: autom. group order 3, simple
B[1571]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,10,13],[1,3,6,8,9,11],[1,4,5,6,12,13],[1,4,7,9,11,13],[1,5,7,8,12,13],[1,5,8,9,10,13],[1,6,8,10,11,12],[2,3,7,8,12,13],[2,3,9,10,12,13],[2,4,5,8,11,13],[2,4,6,8,10,12],[2,5,6,7,8,9],[2,5,6,10,11,13],[2,6,7,9,11,13],[3,4,5,7,10,11],[3,4,6,9,12,13],[3,4,8,10,11,13],[3,5,6,7,11,12],[3,5,8,9,11,12],[4,5,7,9,10,12],[4,6,7,8,9,10]];
G[1571]:=Group([(1,3,13)(2,12,5)(4,9,8)(6,10,7)]);
# Design 1572: autom. group order 3, simple, derived
B[1572]:=[[1,2,3,4,5,6],[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],[1,3,6,9,12,13],[1,4,5,7,10,12],[1,4,6,8,12,13],[1,5,6,8,11,12],[1,5,9,10,11,13],[1,7,8,9,11,13],[2,3,6,8,9,11],[2,3,7,11,12,13],[2,4,5,8,9,13],[2,4,6,10,11,13],[2,5,6,7,12,13],[2,5,8,10,11,12],[2,6,7,9,10,12],[3,4,5,7,11,13],[3,4,8,10,11,12],[3,4,9,10,12,13],[3,5,6,8,10,13],[3,5,7,8,9,12],[4,5,6,7,9,11],[4,6,7,8,9,10]];
G[1572]:=Group([(1,7,12)(2,6,8)(3,9,11)(4,10,5)]);
# Design 1573: autom. group order 3, simple
B[1573]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,5,7,10,11],[1,4,6,10,12,13],[1,5,6,7,8,12],[1,5,8,9,12,13],[1,7,8,9,10,13],[2,3,6,8,12,13],[2,3,7,9,10,13],[2,4,5,8,11,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,9,11,13],[2,6,7,10,11,12],[3,4,5,10,12,13],[3,4,6,7,9,12],[3,4,7,8,11,13],[3,5,7,9,11,12],[3,5,8,10,11,12],[4,5,6,7,9,13],[4,6,8,9,10,11]];
G[1573]:=Group([(1,5,11)(2,3,12)(4,10,7)(6,8,13)]);
# Design 1574: autom. group order 3, simple, derived
B[1574]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,9,11,12],[1,3,6,10,12,13],[1,4,5,7,10,11],[1,4,6,8,9,13],[1,5,6,7,10,13],[1,5,8,11,12,13],[1,7,8,9,10,12],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,5,8,10,12],[2,4,6,10,11,13],[2,5,6,7,9,12],[2,5,6,8,9,13],[2,6,7,10,11,12],[3,4,5,11,12,13],[3,4,6,7,8,12],[3,4,7,9,10,13],[3,5,6,7,8,11],[3,5,8,9,10,11],[4,5,7,9,12,13],[4,6,8,9,10,11]];
G[1574]:=Group([(1,10,12)(2,11,5)(3,6,13)(7,8,9)]);
# Design 1575: autom. group order 3, simple
B[1575]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,5,10,11,13],[1,4,6,8,10,12],[1,5,7,8,9,11],[1,5,8,10,12,13],[1,6,7,9,10,13],[2,3,6,10,11,13],[2,3,8,11,12,13],[2,4,5,6,7,13],[2,4,9,10,12,13],[2,5,6,8,9,12],[2,5,7,10,11,12],[2,6,7,8,9,10],[3,4,5,8,9,13],[3,4,7,8,10,12],[3,4,7,9,10,11],[3,5,6,8,10,11],[3,5,7,9,12,13],[4,5,6,7,11,12],[4,6,8,9,11,13]];
G[1575]:=Group([(1,3,7)(2,4,8)(5,10,11)(6,12,13)]);
# Design 1576: autom. group order 3, simple, derived
B[1576]:=[[1,2,3,4,5,6],[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],[2,4,5,8,10,13],[2,4,6,7,9,12],[2,5,6,7,8,12],[2,5,6,9,11,13],[2,6,8,10,11,12],[3,4,5,10,11,12],[3,4,6,8,9,11],[3,4,6,10,12,13],[3,5,7,9,11,12],[3,5,8,9,12,13],[4,5,7,8,10,11],[4,6,7,9,10,13]];
G[1576]:=Group([(1,5,11)(2,3,12)(4,9,10)(6,7,13)]);
# Design 1577: autom. group order 3, simple, derived
B[1577]:=[[1,2,3,4,5,6],[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],[1,3,6,9,10,13],[1,4,5,8,10,13],[1,4,7,9,11,13],[1,5,6,7,12,13],[1,5,8,9,12,13],[1,6,8,10,11,12],[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],[3,4,5,10,11,12],[3,4,7,9,12,13],[3,4,8,10,11,13],[3,5,6,7,9,11],[3,5,8,9,11,12],[4,5,6,7,10,12],[4,6,7,8,9,10]];
G[1577]:=Group([(1,3,11)(2,5,12)(4,9,10)(6,8,7)]);
# Design 1578: autom. group order 3, simple, derived
B[1578]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,8,11],[1,3,6,10,12,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,6,8,11,12],[1,5,7,8,10,12],[1,6,7,9,10,13],[2,3,6,8,9,13],[2,3,7,10,11,12],[2,4,5,6,10,11],[2,4,7,8,12,13],[2,5,6,7,12,13],[2,5,8,10,11,13],[2,6,8,9,10,12],[3,4,5,7,10,13],[3,4,6,11,12,13],[3,4,8,9,10,12],[3,5,7,9,11,12],[3,5,8,9,11,13],[4,5,6,7,8,9],[4,6,7,9,10,11]];
G[1578]:=Group([(1,8,9)(2,11,6)(3,13,7)(4,5,10)]);
# Design 1579: autom. group order 3, simple
B[1579]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,11,12,13],[1,3,6,7,10,13],[1,3,6,8,9,11],[1,4,5,8,11,13],[1,4,8,10,12,13],[1,5,6,9,12,13],[1,5,7,8,9,10],[1,6,7,10,11,12],[2,3,6,10,11,13],[2,3,8,9,12,13],[2,4,5,7,10,11],[2,4,6,9,10,12],[2,5,6,7,8,12],[2,5,6,8,11,13],[2,7,8,9,10,13],[3,4,5,10,12,13],[3,4,6,7,8,12],[3,4,7,9,11,13],[3,5,7,9,11,12],[3,5,8,10,11,12],[4,5,6,7,9,13],[4,6,8,9,10,11]];
G[1579]:=Group([(1,3,12)(2,5,11)(4,10,7)(6,8,13)]);
# Design 1580: autom. group order 3, simple, derived
B[1580]:=[[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],[1,3,6,7,8,11],[1,3,6,10,12,13],[1,4,5,8,12,13],[1,4,7,10,11,12],[1,5,6,10,11,13],[1,5,7,8,9,13],[1,6,8,9,11,12],[2,3,6,7,12,13],[2,3,8,10,11,12],[2,4,5,11,12,13],[2,4,6,8,11,13],[2,5,6,7,9,11],[2,5,7,8,10,12],[2,6,8,9,10,13],[3,4,5,6,9,12],[3,4,7,9,11,13],[3,4,8,9,10,13],[3,5,7,10,11,13],[3,5,8,9,11,12],[4,5,6,7,8,10],[4,6,7,9,10,12]];
G[1580]:=Group([(1,8,10)(2,11,7)(3,12,4)(5,9,6)]);
# Design 1581: autom. group order 3, simple, derived
B[1581]:=[[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],[1,3,6,8,11,12],[1,3,8,9,12,13],[1,4,5,6,7,13],[1,4,6,9,11,12],[1,5,7,8,10,12],[1,5,8,10,11,13],[1,6,7,10,11,13],[2,3,6,10,12,13],[2,3,7,10,11,12],[2,4,5,8,12,13],[2,4,8,10,11,13],[2,5,6,7,11,12],[2,5,6,8,9,11],[2,6,7,8,9,13],[3,4,5,11,12,13],[3,4,6,7,8,10],[3,4,7,9,11,13],[3,5,6,9,10,13],[3,5,7,8,9,11],[4,5,7,9,10,12],[4,6,8,9,10,12]];
G[1581]:=Group([(1,4,10)(2,9,11)(3,12,13)(5,6,8)]);
# Design 1582: autom. group order 3, simple, derived
B[1582]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,7,11,12],[1,2,8,9,10,11],[1,3,6,8,12,13],[1,3,7,9,12,13],[1,4,5,6,10,13],[1,4,10,11,12,13],[1,5,6,7,8,11],[1,5,7,9,11,13],[1,6,8,9,10,12],[2,3,6,9,11,13],[2,3,8,10,11,13],[2,4,5,8,9,12],[2,4,6,9,12,13],[2,5,6,7,10,13],[2,5,7,8,12,13],[2,6,7,10,11,12],[3,4,5,10,11,12],[3,4,6,7,9,11],[3,4,7,8,10,13],[3,5,6,8,11,12],[3,5,7,9,10,12],[4,5,8,9,11,13],[4,6,7,8,9,10]];
G[1582]:=Group([(1,3,10)(2,5,9)(4,12,8)(6,7,11)]);
# Design 1583: autom. group order 3, simple, derived
B[1583]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,7,11,13],[1,3,7,9,10,13],[1,4,5,6,8,10],[1,4,8,9,12,13],[1,5,6,9,11,13],[1,5,7,8,12,13],[1,6,8,10,11,12],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,5,7,12,13],[2,4,6,9,11,13],[2,5,6,7,8,11],[2,5,8,9,10,13],[2,6,7,9,10,12],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,4,7,8,9,11],[3,5,6,7,9,12],[3,5,8,9,11,12],[4,5,7,10,11,13],[4,6,7,8,9,10]];
G[1583]:=Group([(1,3,12)(2,5,11)(4,9,10)(6,8,7)]);
# Design 1584: autom. group order 3, simple, derived
B[1584]:=[[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],[1,3,6,7,11,13],[1,3,8,9,10,13],[1,4,5,6,10,12],[1,4,7,8,10,12],[1,5,6,9,12,13],[1,5,7,8,11,13],[1,6,8,9,10,11],[2,3,6,7,9,12],[2,3,8,10,12,13],[2,4,5,10,11,13],[2,4,6,8,9,13],[2,5,6,7,8,13],[2,5,7,9,10,11],[2,6,8,10,11,12],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,4,9,11,12,13],[3,5,6,8,11,12],[3,5,7,10,12,13],[4,5,7,8,9,12],[4,6,7,9,10,13]];
G[1584]:=Group([(1,2,10)(3,5,9)(4,11,8)(6,7,13)]);
# Design 1585: autom. group order 3, simple
B[1585]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,6,7,11,13],[1,3,10,11,12,13],[1,4,5,6,12,13],[1,4,7,8,10,13],[1,5,6,8,9,11],[1,5,8,10,11,12],[1,6,7,8,9,12],[2,3,6,7,11,12],[2,3,8,9,11,13],[2,4,5,8,11,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,10,11,12],[2,6,8,9,12,13],[3,4,5,7,9,12],[3,4,6,8,10,11],[3,4,8,9,10,12],[3,5,6,9,10,13],[3,5,7,8,12,13],[4,5,7,9,11,13],[4,6,7,9,10,11]];
G[1585]:=Group([(1,4,11)(2,9,12)(3,7,10)(6,13,8)]);
# Design 1586: autom. group order 3, simple
B[1586]:=[[1,2,3,4,5,6],[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],[1,4,7,9,10,12],[1,5,6,10,11,12],[1,5,8,9,10,13],[1,6,7,9,11,13],[2,3,6,10,11,13],[2,3,7,9,10,11],[2,4,5,7,12,13],[2,4,6,8,10,13],[2,5,6,7,10,12],[2,5,8,9,12,13],[2,6,8,9,11,12],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,4,8,10,11,12],[3,5,6,7,8,9],[3,5,7,8,11,12],[4,5,7,10,11,13],[4,6,7,8,9,10]];
G[1586]:=Group([(1,5,13)(2,12,3)(4,7,6)(8,10,9)]);
# Design 1587: autom. group order 3, simple, derived
B[1587]:=[[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],[1,3,9,10,11,13],[1,4,5,6,10,13],[1,4,7,8,10,13],[1,5,6,8,11,12],[1,5,8,9,12,13],[1,6,7,10,11,12],[2,3,6,8,11,13],[2,3,8,10,12,13],[2,4,5,7,9,12],[2,4,6,9,10,11],[2,5,6,7,11,13],[2,5,7,10,12,13],[2,6,8,9,10,12],[3,4,5,8,11,12],[3,4,6,9,12,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,5,7,9,11,13],[4,5,8,9,10,11],[4,6,7,8,9,13]];
G[1587]:=Group([(1,2,12)(3,10,6)(4,13,11)(5,8,7)]);
# Design 1588: autom. group order 3, simple, derived
B[1588]:=[[1,2,3,4,5,6],[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],[1,3,10,11,12,13],[1,4,5,6,8,11],[1,4,7,8,10,12],[1,5,6,9,10,12],[1,5,8,9,11,13],[1,6,7,8,9,13],[2,3,6,8,11,13],[2,3,8,9,11,12],[2,4,5,7,12,13],[2,4,6,9,10,13],[2,5,6,7,11,12],[2,5,8,10,12,13],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,4,7,9,10,11],[3,5,6,7,10,11],[3,5,7,8,9,12],[4,5,7,9,11,13],[4,6,8,10,11,12]];
G[1588]:=Group([(1,5,13)(2,12,3)(4,7,6)(8,11,9)]);
# Design 1589: autom. group order 3, simple, derived
B[1589]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,12],[1,3,6,9,10,13],[1,3,7,8,11,13],[1,4,5,6,11,13],[1,4,7,9,12,13],[1,5,6,8,12,13],[1,5,7,8,9,10],[1,6,8,10,11,12],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,5,8,10,13],[2,4,6,8,9,12],[2,5,6,7,8,11],[2,5,7,10,12,13],[2,6,9,10,11,13],[3,4,5,10,11,12],[3,4,6,7,10,11],[3,4,8,10,12,13],[3,5,6,7,9,12],[3,5,8,9,11,12],[4,5,7,9,11,13],[4,6,7,8,9,10]];
G[1589]:=Group([(1,3,12)(2,5,11)(4,9,10)(6,8,7)]);
# Design 1590: autom. group order 3, simple, derived
B[1590]:=[[1,2,3,4,5,6],[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],[1,3,9,10,12,13],[1,4,5,6,12,13],[1,4,8,9,11,13],[1,5,6,7,8,12],[1,5,7,8,10,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,8,9,13],[2,4,5,10,11,13],[2,4,7,8,10,12],[2,5,6,7,9,11],[2,5,6,8,9,13],[2,6,8,10,11,12],[3,4,5,8,10,11],[3,4,6,7,11,13],[3,4,6,8,9,12],[3,5,7,9,11,12],[3,5,8,11,12,13],[4,5,7,9,10,12],[4,6,7,9,10,13]];
G[1590]:=Group([(1,5,11)(2,7,10)(3,9,6)(4,12,8)]);
# Design 1591: autom. group order 3, simple, derived
B[1591]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,6,7,9,13],[1,3,8,11,12,13],[1,4,5,6,8,11],[1,4,9,10,12,13],[1,5,6,10,12,13],[1,5,7,8,9,12],[1,6,7,8,10,11],[2,3,6,11,12,13],[2,3,8,9,10,11],[2,4,5,7,10,13],[2,4,7,8,12,13],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,6,8,9,10,12],[3,4,5,10,11,12],[3,4,6,7,9,12],[3,4,6,8,10,13],[3,5,7,8,10,12],[3,5,7,9,11,13],[4,5,8,9,11,13],[4,6,7,9,10,11]];
G[1591]:=Group([(1,5,11)(2,9,7)(3,13,10)(4,8,6)]);
# Design 1592: autom. group order 3, simple
B[1592]:=[[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],[1,3,6,10,11,12],[1,3,7,10,12,13],[1,4,5,6,7,13],[1,4,8,9,10,13],[1,5,6,8,9,12],[1,5,8,11,12,13],[1,6,7,9,10,11],[2,3,6,7,11,13],[2,3,8,9,12,13],[2,4,5,10,11,12],[2,4,7,9,10,12],[2,5,6,7,8,12],[2,5,6,9,10,13],[2,6,8,10,11,13],[3,4,5,9,11,13],[3,4,6,8,9,11],[3,4,6,8,10,12],[3,5,7,8,10,13],[3,5,7,9,11,12],[4,5,7,8,10,11],[4,6,7,9,12,13]];
G[1592]:=Group([(1,4,10)(2,12,3)(5,11,6)(8,9,13)]);
# Design 1593: autom. group order 3, simple, derived
B[1593]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,10,12],[1,3,10,11,12,13],[1,4,5,8,12,13],[1,4,6,8,10,11],[1,5,6,7,12,13],[1,5,6,8,9,11],[1,7,8,9,10,13],[2,3,6,7,11,13],[2,3,8,9,10,12],[2,4,5,10,11,13],[2,4,6,10,12,13],[2,5,6,7,8,10],[2,5,7,8,11,12],[2,6,8,9,12,13],[3,4,5,7,9,13],[3,4,6,8,9,13],[3,4,7,8,11,12],[3,5,6,9,11,12],[3,5,8,10,11,13],[4,5,7,9,10,12],[4,6,7,9,10,11]];
G[1593]:=Group([(1,7,11)(2,9,13)(3,4,10)(6,12,8)]);
# Design 1594: autom. group order 3, simple, derived
B[1594]:=[[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],[1,3,6,9,11,13],[1,3,8,10,11,13],[1,4,5,7,9,10],[1,4,6,10,12,13],[1,5,6,7,8,11],[1,5,6,8,10,12],[1,7,8,9,12,13],[2,3,6,7,8,12],[2,3,8,9,10,13],[2,4,5,8,11,13],[2,4,6,7,10,13],[2,5,6,9,12,13],[2,5,8,10,11,12],[2,6,7,9,10,11],[3,4,5,9,11,12],[3,4,6,8,9,12],[3,4,7,10,11,12],[3,5,6,7,11,13],[3,5,7,10,12,13],[4,5,7,8,9,13],[4,6,8,9,10,11]];
G[1594]:=Group([(1,4,11)(2,12,13)(5,9,6)(7,10,8)]);
# Design 1595: autom. group order 3, simple, derived
B[1595]:=[[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],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,5,7,9,12],[1,4,6,8,10,13],[1,5,6,8,10,11],[1,5,7,8,11,13],[1,6,9,11,12,13],[2,3,6,10,11,12],[2,3,7,8,11,13],[2,4,5,10,12,13],[2,4,6,8,9,13],[2,5,6,7,8,12],[2,5,8,9,11,12],[2,6,7,9,10,13],[3,4,5,9,11,13],[3,4,6,7,9,11],[3,4,8,10,11,12],[3,5,6,7,12,13],[3,5,8,9,10,13],[4,5,6,7,10,11],[4,7,8,9,10,12]];
G[1595]:=Group([(1,5,10)(2,3,9)(4,13,7)(6,8,11)]);
# Design 1596: autom. group order 3, simple, derived
B[1596]:=[[1,2,3,4,5,6],[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],[1,4,6,7,10,12],[1,5,6,8,10,12],[1,5,8,9,10,13],[1,6,7,8,9,11],[2,3,6,8,11,12],[2,3,7,9,10,12],[2,4,5,8,10,11],[2,4,6,8,9,13],[2,5,6,7,9,13],[2,5,7,8,12,13],[2,6,10,11,12,13],[3,4,5,7,11,13],[3,4,6,8,10,13],[3,4,9,10,12,13],[3,5,6,7,10,11],[3,5,8,9,11,12],[4,5,6,7,9,12],[4,7,8,9,10,11]];
G[1596]:=Group([(1,3,10)(2,9,5)(4,12,8)(6,7,13)]);
# Design 1597: autom. group order 3, simple
B[1597]:=[[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],[1,3,8,10,12,13],[1,4,5,7,11,13],[1,4,6,8,10,13],[1,5,6,9,12,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[2,3,7,10,12,13],[2,3,8,9,11,13],[2,4,5,7,9,12],[2,4,6,8,9,13],[2,5,6,7,10,13],[2,5,6,8,10,11],[2,6,7,8,11,12],[3,4,5,8,11,12],[3,4,6,7,10,12],[3,4,6,9,10,11],[3,5,6,11,12,13],[3,5,7,8,9,13],[4,5,8,9,10,12],[4,7,9,10,11,13]];
G[1597]:=Group([(1,12,13)(2,5,8)(3,4,9)(6,10,11)]);
# Design 1598: autom. group order 3, simple
B[1598]:=[[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],[1,3,6,7,9,12],[1,3,6,10,11,12],[1,4,5,9,12,13],[1,4,7,8,10,13],[1,5,7,10,11,13],[1,5,8,9,11,12],[1,6,8,9,10,13],[2,3,7,9,11,13],[2,3,8,10,12,13],[2,4,6,9,10,13],[2,4,8,9,11,12],[2,5,6,7,12,13],[2,5,6,8,10,12],[2,5,7,9,10,11],[3,4,5,6,11,13],[3,4,5,8,10,11],[3,4,7,9,10,12],[3,5,7,8,12,13],[3,6,8,9,11,13],[4,5,6,7,8,9],[4,6,7,10,11,12]];
G[1598]:=Group([(1,3,13)(2,11,10)(4,6,8)(5,9,7)]);
# Design 1599: autom. group order 3, simple, derived
B[1599]:=[[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],[1,3,6,8,10,13],[1,3,6,9,11,13],[1,4,5,9,12,13],[1,4,8,10,11,13],[1,5,7,8,12,13],[1,5,7,10,11,12],[1,6,7,9,10,12],[2,3,7,9,12,13],[2,3,10,11,12,13],[2,4,6,10,12,13],[2,4,8,9,10,12],[2,5,6,7,8,10],[2,5,6,7,11,13],[2,5,8,9,11,13],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,6,8,9,12],[3,7,8,9,10,11],[4,5,6,9,10,11],[4,6,7,8,9,13]];
G[1599]:=Group([(1,2,12)(3,13,5)(4,10,7)(6,11,8)]);
# Design 1600: autom. group order 3, simple
B[1600]:=[[1,2,3,4,5,6],[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],[1,3,6,8,10,11],[1,4,5,9,12,13],[1,4,7,8,10,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,8,9,11,12],[2,3,7,9,10,12],[2,3,8,9,11,13],[2,4,6,8,12,13],[2,4,7,10,11,12],[2,5,6,7,8,9],[2,5,6,10,12,13],[2,5,7,8,11,13],[3,4,5,8,11,12],[3,4,5,10,11,13],[3,4,6,7,9,13],[3,5,6,7,11,12],[3,8,9,10,12,13],[4,5,6,8,9,10],[4,6,7,9,10,11]];
G[1600]:=Group([(1,3,6)(2,7,11)(4,12,10)(5,13,8)]);
# Design 1601: autom. group order 3, simple, derived
B[1601]:=[[1,2,3,4,5,6],[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],[1,3,8,10,11,13],[1,4,5,6,12,13],[1,4,8,9,10,11],[1,5,7,8,9,12],[1,5,7,8,10,13],[1,6,9,10,12,13],[2,3,6,9,10,13],[2,3,8,11,12,13],[2,4,6,7,8,10],[2,4,8,9,12,13],[2,5,6,8,10,12],[2,5,7,9,11,13],[2,5,7,10,11,12],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,7,10,12,13],[3,5,6,8,9,11],[3,6,7,8,9,12],[4,5,6,8,11,13],[4,6,7,9,10,11]];
G[1601]:=Group([(1,5,11)(2,10,4)(3,12,9)(6,7,8)]);
# Design 1602: autom. group order 3, simple
B[1602]:=[[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],[1,3,6,8,9,11],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,11,13],[1,5,7,8,10,11],[1,5,7,9,12,13],[1,6,8,9,10,12],[2,3,6,9,12,13],[2,3,7,9,10,11],[2,4,8,9,10,13],[2,4,8,10,11,12],[2,5,6,7,8,12],[2,5,6,10,11,13],[2,5,7,8,9,13],[3,4,5,7,10,12],[3,4,5,9,11,12],[3,4,6,7,8,13],[3,5,8,11,12,13],[3,6,7,10,11,13],[4,5,6,8,9,11],[4,6,7,9,10,12]];
G[1602]:=Group([(1,5,11)(2,3,12)(6,9,13)(7,10,8)]);
# Design 1603: autom. group order 3, simple
B[1603]:=[[1,2,3,4,5,6],[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],[1,3,8,9,12,13],[1,4,5,7,9,13],[1,4,6,10,11,12],[1,5,6,8,10,13],[1,5,8,11,12,13],[1,7,8,9,10,11],[2,3,6,8,9,11],[2,3,10,11,12,13],[2,4,7,10,12,13],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,6,9,12,13],[2,5,7,8,10,11],[3,4,5,7,11,13],[3,4,5,8,10,12],[3,4,6,8,11,13],[3,5,7,9,11,12],[3,6,7,9,10,13],[4,5,6,9,10,11],[4,6,7,8,9,12]];
G[1603]:=Group([(1,2,13)(3,10,8)(4,12,5)(6,7,11)]);
# Design 1604: autom. group order 3, simple, derived
B[1604]:=[[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],[1,3,6,10,11,13],[1,3,8,9,11,13],[1,4,5,9,12,13],[1,4,6,8,10,13],[1,5,6,7,10,12],[1,5,7,11,12,13],[1,7,8,9,10,12],[2,3,7,9,12,13],[2,3,8,10,12,13],[2,4,6,9,10,12],[2,4,10,11,12,13],[2,5,6,7,8,13],[2,5,6,9,11,13],[2,5,7,8,10,11],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,7,11,12],[3,5,6,8,9,12],[3,6,7,9,10,11],[4,5,8,9,10,11],[4,6,7,8,9,13]];
G[1604]:=Group([(1,2,12)(3,13,5)(4,10,7)(6,8,11)]);
# Design 1605: autom. group order 3, simple, derived
B[1605]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,6,7,10,13],[1,3,8,11,12,13],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,7,8,11,13],[1,5,7,9,10,12],[1,6,7,8,9,12],[2,3,6,7,11,12],[2,3,8,9,10,13],[2,4,7,8,10,13],[2,4,7,9,12,13],[2,5,6,7,10,11],[2,5,6,8,12,13],[2,5,8,10,11,12],[3,4,5,6,12,13],[3,4,5,8,9,11],[3,4,7,10,11,12],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,7,8,9],[4,6,9,10,11,13]];
G[1605]:=Group([(1,3,10)(2,9,5)(4,8,12)(6,13,7)]);
# Design 1606: autom. group order 3, simple
B[1606]:=[[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],[1,3,6,7,10,12],[1,3,8,9,11,12],[1,4,5,9,10,13],[1,4,6,8,9,13],[1,5,7,8,10,11],[1,5,7,11,12,13],[1,6,8,10,12,13],[2,3,8,9,11,13],[2,3,8,10,12,13],[2,4,6,10,11,12],[2,4,7,9,10,12],[2,5,6,7,8,13],[2,5,6,8,10,11],[2,5,7,9,12,13],[3,4,5,7,8,12],[3,4,5,10,11,13],[3,4,6,7,11,13],[3,5,6,9,11,12],[3,6,7,9,10,13],[4,5,6,8,9,12],[4,7,8,9,10,11]];
G[1606]:=Group([(1,6,9)(2,7,11)(4,13,8)(5,10,12)]);
# Design 1607: autom. group order 3, simple, derived
B[1607]:=[[1,2,3,4,5,6],[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],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,11,12],[2,5,6,8,9,13],[2,5,7,9,10,13],[3,4,5,7,11,12],[3,4,5,9,11,13],[3,4,6,7,9,13],[3,5,6,8,10,11],[3,6,7,9,10,12],[4,5,6,8,10,12],[4,7,8,9,10,11]];
G[1607]:=Group([(1,5,10)(2,9,3)(4,13,12)(6,7,8)]);
# Design 1608: autom. group order 3, simple, derived
B[1608]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,10,13],[1,3,6,8,10,11],[1,3,7,11,12,13],[1,4,5,8,12,13],[1,4,9,10,11,13],[1,5,6,7,9,12],[1,5,6,8,11,13],[1,7,8,9,10,12],[2,3,6,7,11,12],[2,3,8,9,10,13],[2,4,6,8,9,12],[2,4,7,8,11,13],[2,5,6,9,11,13],[2,5,7,10,12,13],[2,5,8,10,11,12],[3,4,5,7,9,13],[3,4,5,10,11,12],[3,4,6,10,12,13],[3,5,7,8,9,11],[3,6,8,9,12,13],[4,5,6,7,8,10],[4,6,7,9,10,11]];
G[1608]:=Group([(1,5,11)(2,10,4)(3,12,9)(6,8,13)]);
# Design 1609: autom. group order 3, simple, derived
B[1609]:=[[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],[1,3,7,10,11,12],[1,4,5,8,9,12],[1,4,9,10,11,13],[1,5,6,7,12,13],[1,5,6,8,10,11],[1,7,8,9,10,13],[2,3,6,10,11,13],[2,3,7,9,12,13],[2,4,6,8,9,13],[2,4,8,10,11,12],[2,5,6,9,10,12],[2,5,7,8,10,13],[2,5,7,8,11,12],[3,4,5,7,9,11],[3,4,5,10,12,13],[3,4,6,7,8,10],[3,5,8,9,11,13],[3,6,8,9,11,12],[4,5,6,7,11,13],[4,6,7,9,10,12]];
G[1609]:=Group([(1,9,12)(2,3,11)(4,5,8)(6,13,10)]);
# Design 1610: autom. group order 3, simple, derived
B[1610]:=[[1,2,3,4,5,6],[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],[1,3,9,10,12,13],[1,4,5,8,11,13],[1,4,7,10,11,12],[1,5,6,8,10,12],[1,5,7,8,9,13],[1,6,7,8,9,11],[2,3,7,8,9,12],[2,3,8,10,11,13],[2,4,6,7,12,13],[2,4,6,8,9,10],[2,5,6,8,12,13],[2,5,7,9,11,13],[2,5,7,10,11,12],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,5,6,9,11,12],[3,6,7,8,10,11],[4,5,6,7,9,10],[4,8,9,10,12,13]];
G[1610]:=Group([(1,9,13)(2,4,6)(3,10,12)(5,8,7)]);
# Design 1611: autom. group order 3, simple
B[1611]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,7,11,13],[1,3,7,10,11,12],[1,3,8,9,12,13],[1,4,5,6,9,13],[1,4,6,7,10,12],[1,5,7,8,12,13],[1,5,8,10,11,13],[1,6,8,9,10,11],[2,3,6,10,12,13],[2,3,7,8,9,11],[2,4,8,9,10,13],[2,4,10,11,12,13],[2,5,6,7,8,10],[2,5,6,8,11,12],[2,5,7,9,12,13],[3,4,5,7,11,13],[3,4,5,8,10,12],[3,4,6,8,11,13],[3,5,6,9,11,12],[3,6,7,9,10,13],[4,5,7,9,10,11],[4,6,7,8,9,12]];
G[1611]:=Group([(1,2,13)(3,10,8)(4,12,5)(6,11,7)]);
# Design 1612: autom. group order 3, simple, derived
B[1612]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,11,13],[1,3,7,8,11,13],[1,3,7,9,10,12],[1,4,5,6,10,13],[1,4,7,10,11,12],[1,5,6,7,8,12],[1,5,8,10,11,13],[1,6,8,9,12,13],[2,3,6,7,11,13],[2,3,6,8,10,12],[2,4,7,8,10,13],[2,4,8,9,12,13],[2,5,6,7,11,12],[2,5,7,9,10,13],[2,5,8,10,11,12],[3,4,5,8,9,11],[3,4,5,11,12,13],[3,4,6,10,12,13],[3,5,7,9,12,13],[3,6,8,9,10,11],[4,5,6,7,8,9],[4,6,7,9,10,11]];
G[1612]:=Group([(1,10,11)(2,3,6)(4,12,7)(5,8,13)]);
# Design 1613: autom. group order 3, simple, derived
B[1613]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,6,9,10,13],[1,3,7,10,11,12],[1,3,8,9,11,13],[1,4,5,7,12,13],[1,4,6,8,10,11],[1,5,6,7,11,13],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,7,12,13],[2,3,10,11,12,13],[2,4,6,8,11,13],[2,4,7,8,10,12],[2,5,6,7,10,11],[2,5,7,8,9,13],[2,5,8,9,11,12],[3,4,5,7,9,11],[3,4,5,8,10,13],[3,4,6,9,12,13],[3,5,6,8,11,12],[3,6,7,8,9,10],[4,5,6,9,10,12],[4,7,9,10,11,13]];
G[1613]:=Group([(1,3,13)(2,12,5)(4,6,7)(8,9,11)]);
# Design 1614: autom. group order 3, simple
B[1614]:=[[1,2,3,4,5,6],[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],[1,4,5,8,9,13],[1,4,6,10,12,13],[1,5,7,8,10,12],[1,5,7,9,11,13],[1,6,8,9,10,11],[2,3,6,9,11,13],[2,3,7,8,9,12],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,7,8,13],[2,5,6,9,10,12],[2,5,8,10,11,13],[3,4,5,7,10,11],[3,4,5,11,12,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,7,9,10,12,13],[4,5,6,7,9,12],[4,6,7,8,9,11]];
G[1614]:=Group([(1,5,12)(2,3,11)(6,13,9)(7,10,8)]);
# Design 1615: autom. group order 3, simple, derived
B[1615]:=[[1,2,3,4,5,6],[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],[1,3,6,10,11,13],[1,4,5,7,10,12],[1,4,6,8,10,13],[1,5,7,8,11,13],[1,5,9,10,12,13],[1,6,7,8,9,12],[2,3,6,7,12,13],[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],[3,4,5,7,11,12],[3,4,5,8,9,13],[3,4,10,11,12,13],[3,5,6,7,9,13],[3,7,8,9,10,12],[4,5,6,8,9,11],[4,6,7,9,10,11]];
G[1615]:=Group([(1,3,10)(2,9,5)(4,8,12)(6,11,13)]);
# Design 1616: autom. group order 3, simple, derived
B[1616]:=[[1,2,3,4,5,6],[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],[1,3,6,9,11,12],[1,4,5,10,12,13],[1,4,8,10,11,13],[1,5,6,7,12,13],[1,5,6,8,10,11],[1,7,8,9,10,12],[2,3,6,8,10,13],[2,3,10,11,12,13],[2,4,6,7,10,11],[2,4,6,9,12,13],[2,5,6,7,8,12],[2,5,7,9,10,11],[2,5,8,11,12,13],[3,4,5,7,10,12],[3,4,5,8,9,13],[3,4,7,8,11,12],[3,5,7,9,11,13],[3,6,8,9,10,12],[4,5,6,8,9,11],[4,6,7,9,10,13]];
G[1616]:=Group([(1,3,7)(2,4,8)(5,12,9)(6,11,13)]);
# Design 1617: autom. group order 3, simple, derived
B[1617]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,5,6,8,13],[1,4,6,9,10,11],[1,5,7,8,10,11],[1,5,9,10,12,13],[1,6,8,10,12,13],[2,3,6,9,12,13],[2,3,8,10,11,13],[2,4,6,7,10,13],[2,4,8,10,11,12],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,7,8,9,13],[3,4,5,7,10,12],[3,4,5,11,12,13],[3,4,8,9,10,13],[3,5,6,8,11,12],[3,6,7,9,10,11],[4,5,7,9,11,13],[4,6,7,8,9,12]];
G[1617]:=Group([(1,5,11)(2,3,12)(6,13,9)(7,10,8)]);
# Design 1618: autom. group order 3, simple
B[1618]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,11,12,13],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,7,9,10,12],[1,5,6,8,11,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,8,9,12],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,10,11,12,13],[2,5,6,7,11,12],[2,5,6,9,10,13],[2,5,7,8,10,12],[3,4,5,7,11,13],[3,4,5,8,9,11],[3,4,6,7,10,12],[3,5,7,9,12,13],[3,6,7,9,10,11],[4,5,8,9,12,13],[4,6,8,9,10,11]];
G[1618]:=Group([(1,4,11)(2,9,12)(3,8,6)(7,10,13)]);
# Design 1619: autom. group order 3, simple, derived
B[1619]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,8,11,13],[1,3,8,9,10,12],[1,4,5,6,10,13],[1,4,8,10,11,13],[1,5,6,7,11,12],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,7,8,13],[2,3,10,11,12,13],[2,4,6,8,9,12],[2,4,7,10,12,13],[2,5,6,8,11,12],[2,5,6,9,10,13],[2,5,7,8,10,11],[3,4,5,7,9,11],[3,4,5,11,12,13],[3,4,6,7,10,12],[3,5,8,9,12,13],[3,6,7,9,10,11],[4,5,7,8,9,13],[4,6,8,9,10,11]];
G[1619]:=Group([(1,3,12)(2,13,7)(4,11,6)(8,10,9)]);
# Design 1620: autom. group order 3, simple
B[1620]:=[[1,2,3,4,5,6],[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],[1,3,8,10,12,13],[1,4,5,6,10,13],[1,4,10,11,12,13],[1,5,6,7,11,12],[1,5,7,8,10,11],[1,6,7,8,9,13],[2,3,6,11,12,13],[2,3,8,10,11,13],[2,4,6,7,8,13],[2,4,7,9,10,12],[2,5,6,8,11,12],[2,5,6,9,10,13],[2,5,7,8,10,12],[3,4,5,7,12,13],[3,4,5,8,9,11],[3,4,6,7,10,11],[3,5,7,9,11,13],[3,6,7,9,10,12],[4,5,8,9,12,13],[4,6,8,9,10,11]];
G[1620]:=Group([(1,9,12)(2,4,11)(3,8,6)(7,10,13)]);
# Design 1621: autom. group order 3, simple
B[1621]:=[[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],[1,3,6,7,11,13],[1,3,8,10,12,13],[1,4,5,8,9,13],[1,4,6,9,10,11],[1,5,6,7,12,13],[1,5,6,8,10,11],[1,7,8,9,10,12],[2,3,6,10,11,12],[2,3,7,9,10,13],[2,4,6,8,9,12],[2,4,8,10,11,13],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,5,7,8,11,13],[3,4,5,7,9,11],[3,4,5,10,12,13],[3,4,6,7,8,12],[3,5,8,9,11,12],[3,6,8,9,11,13],[4,5,7,10,11,12],[4,6,7,9,10,13]];
G[1621]:=Group([(1,9,13)(2,3,11)(4,5,8)(6,12,10)]);
# Design 1622: autom. group order 3, simple, derived
B[1622]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,11,13],[1,3,6,7,11,12],[1,3,9,10,12,13],[1,4,5,7,10,13],[1,4,6,8,10,11],[1,5,6,11,12,13],[1,5,7,8,9,12],[1,6,8,9,10,13],[2,3,6,8,9,12],[2,3,6,10,11,13],[2,4,6,7,9,13],[2,4,8,10,12,13],[2,5,6,7,12,13],[2,5,7,9,10,11],[2,5,8,10,11,12],[3,4,5,8,12,13],[3,4,5,9,11,13],[3,4,7,10,11,12],[3,5,6,7,8,10],[3,7,8,9,11,13],[4,5,6,8,9,11],[4,6,7,9,10,12]];
G[1622]:=Group([(1,2,10)(3,5,9)(4,11,13)(6,7,12)]);
# Design 1623: autom. group order 3, simple, derived
B[1623]:=[[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],[1,3,6,7,9,12],[1,3,7,8,11,13],[1,4,5,10,11,12],[1,4,6,8,10,13],[1,5,6,8,9,11],[1,5,8,9,12,13],[1,6,7,10,12,13],[2,3,6,8,11,12],[2,3,6,10,11,13],[2,4,7,8,9,12],[2,4,8,9,10,13],[2,5,6,7,9,13],[2,5,6,8,10,12],[2,5,7,11,12,13],[3,4,5,7,10,12],[3,4,5,9,11,13],[3,4,6,9,12,13],[3,5,7,8,10,13],[3,8,9,10,11,12],[4,5,6,7,8,11],[4,6,7,9,10,11]];
G[1623]:=Group([(1,4,7)(2,8,3)(5,9,13)(6,12,11)]);
# Design 1624: autom. group order 3, simple
B[1624]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,11],[1,3,6,10,11,12],[1,3,7,8,11,13],[1,4,5,7,12,13],[1,4,6,8,10,12],[1,5,6,7,10,13],[1,5,8,9,12,13],[1,6,8,9,11,13],[2,3,6,7,12,13],[2,3,8,10,12,13],[2,4,6,9,12,13],[2,4,8,10,11,13],[2,5,6,7,8,9],[2,5,6,10,11,13],[2,5,7,8,11,12],[3,4,5,6,8,11],[3,4,5,9,11,13],[3,4,7,9,10,13],[3,5,8,9,10,12],[3,6,7,9,11,12],[4,5,7,10,11,12],[4,6,7,8,9,10]];
G[1624]:=Group([(1,2,13)(3,12,5)(4,6,7)(8,9,10)]);
# Design 1625: autom. group order 3, simple
B[1625]:=[[1,2,3,4,5,6],[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],[1,3,7,8,9,12],[1,4,5,10,12,13],[1,4,6,8,10,11],[1,5,6,7,8,13],[1,5,8,9,11,13],[1,6,7,9,10,12],[2,3,6,8,10,12],[2,3,7,9,11,13],[2,4,6,7,12,13],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,5,8,10,11,12],[3,4,5,6,9,11],[3,4,5,7,10,13],[3,4,8,11,12,13],[3,5,7,10,11,12],[3,6,8,9,10,13],[4,5,7,8,9,12],[4,6,7,9,10,11]];
G[1625]:=Group([(1,4,9)(2,11,12)(3,6,7)(5,10,8)]);
# Design 1626: autom. group order 3, simple, derived
B[1626]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,10,13],[1,3,6,7,11,13],[1,3,10,11,12,13],[1,4,5,8,10,11],[1,4,6,8,9,13],[1,5,6,7,11,12],[1,5,8,10,12,13],[1,6,7,8,9,12],[2,3,6,8,11,12],[2,3,8,9,11,13],[2,4,6,10,12,13],[2,4,7,10,11,12],[2,5,6,7,8,10],[2,5,6,9,12,13],[2,5,7,8,11,13],[3,4,5,7,9,12],[3,4,5,8,12,13],[3,4,6,7,10,13],[3,5,6,9,10,11],[3,7,8,9,10,12],[4,5,7,9,11,13],[4,6,8,9,10,11]];
G[1626]:=Group([(1,8,12)(3,11,4)(5,13,10)(6,9,7)]);
# Design 1627: autom. group order 3, simple
B[1627]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,9,11,13],[1,3,6,7,10,11],[1,3,8,10,12,13],[1,4,5,10,11,13],[1,4,6,7,12,13],[1,5,6,8,9,10],[1,5,8,11,12,13],[1,6,7,8,9,12],[2,3,6,8,11,13],[2,3,7,10,12,13],[2,4,6,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,11],[2,5,6,9,12,13],[2,5,7,8,10,12],[3,4,5,7,9,12],[3,4,5,8,11,12],[3,4,6,8,9,13],[3,5,7,9,11,13],[3,6,9,10,11,12],[4,5,6,7,10,13],[4,7,8,9,10,11]];
G[1627]:=Group([(1,8,11)(2,9,6)(3,4,10)(5,13,12)]);
# Design 1628: autom. group order 3, simple, derived
B[1628]:=[[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],[1,3,8,10,11,12],[1,4,5,8,9,13],[1,4,6,8,10,13],[1,5,6,7,11,12],[1,5,7,9,10,12],[1,6,9,10,11,13],[2,3,6,8,10,12],[2,3,9,10,11,13],[2,4,6,9,11,12],[2,4,7,10,12,13],[2,5,6,7,10,13],[2,5,6,8,9,12],[2,5,7,8,11,13],[3,4,5,7,10,11],[3,4,5,9,12,13],[3,4,6,7,9,11],[3,5,8,11,12,13],[3,6,7,8,9,13],[4,5,6,8,10,11],[4,7,8,9,10,12]];
G[1628]:=Group([(1,6,8)(2,7,12)(4,13,10)(5,9,11)]);
# Design 1629: autom. group order 3, simple, derived
B[1629]:=[[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],[1,3,6,8,9,12],[1,3,7,10,12,13],[1,4,5,8,10,11],[1,4,6,7,9,12],[1,5,6,8,10,13],[1,5,9,11,12,13],[1,6,7,8,11,13],[2,3,6,10,12,13],[2,3,7,8,11,13],[2,4,6,10,11,12],[2,4,8,9,10,13],[2,5,6,7,8,12],[2,5,6,7,9,11],[2,5,8,9,12,13],[3,4,5,7,9,13],[3,4,5,8,11,12],[3,4,6,9,11,13],[3,5,7,10,11,12],[3,6,8,9,10,11],[4,5,6,7,10,13],[4,7,8,9,10,12]];
G[1629]:=Group([(1,6,10)(2,9,12)(4,11,7)(5,8,13)]);
# Design 1630: autom. group order 3, simple, derived
B[1630]:=[[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],[1,3,6,10,12,13],[1,3,8,9,11,12],[1,4,5,7,11,13],[1,4,6,8,10,12],[1,5,6,7,11,12],[1,5,8,10,11,13],[1,6,7,8,9,13],[2,3,6,7,11,13],[2,3,10,11,12,13],[2,4,6,8,11,12],[2,4,7,8,10,13],[2,5,6,7,10,12],[2,5,6,8,9,11],[2,5,8,9,12,13],[3,4,5,7,9,12],[3,4,5,8,12,13],[3,4,6,9,11,13],[3,5,7,8,10,11],[3,6,7,8,9,10],[4,5,6,9,10,13],[4,7,9,10,11,12]];
G[1630]:=Group([(1,3,11)(2,13,5)(4,6,7)(8,9,12)]);
# Design 1631: autom. group order 3, simple, derived
B[1631]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,8,10,11],[1,3,6,7,11,13],[1,3,9,10,11,13],[1,4,5,8,12,13],[1,4,7,9,12,13],[1,5,6,8,9,13],[1,5,6,10,11,12],[1,6,7,8,10,12],[2,3,6,9,12,13],[2,3,8,10,12,13],[2,4,6,7,11,13],[2,4,6,8,9,10],[2,5,6,8,11,13],[2,5,7,9,11,12],[2,5,7,10,12,13],[3,4,5,7,10,13],[3,4,5,8,11,12],[3,4,6,10,11,12],[3,5,7,8,9,11],[3,6,7,8,9,12],[4,5,6,7,9,10],[4,8,9,10,11,13]];
G[1631]:=Group([(1,10,13)(2,4,6)(3,9,11)(5,8,7)]);
# Design 1632: autom. group order 3, simple, derived
B[1632]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,4,9,11,12],[1,2,7,10,11,13],[1,3,8,9,10,13],[1,3,8,11,12,13],[1,4,5,6,8,13],[1,4,6,10,11,12],[1,5,6,7,9,11],[1,5,7,8,10,12],[1,6,7,9,12,13],[2,3,6,7,10,12],[2,3,6,9,11,13],[2,4,6,7,8,13],[2,4,8,9,10,12],[2,5,6,10,12,13],[2,5,7,8,9,11],[2,5,8,11,12,13],[3,4,5,7,11,12],[3,4,5,10,11,13],[3,4,7,9,12,13],[3,5,6,8,9,12],[3,6,7,8,10,11],[4,5,7,9,10,13],[4,6,8,9,10,11]];
G[1632]:=Group([(1,7,10)(2,13,11)(3,9,6)(5,12,8)]);
# Design 1633: autom. group order 3, simple
B[1633]:=[[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],[1,3,5,6,10,12],[1,3,5,11,12,13],[1,4,5,7,11,13],[1,4,8,9,11,12],[1,6,7,8,9,12],[1,6,7,9,10,13],[1,6,8,10,11,13],[2,3,6,7,11,13],[2,3,9,10,12,13],[2,4,6,7,10,12],[2,4,8,10,11,13],[2,5,6,8,9,13],[2,5,6,8,11,12],[2,5,7,9,11,12],[3,4,5,8,9,10],[3,4,6,7,9,11],[3,4,6,8,12,13],[3,5,7,8,9,13],[3,7,8,10,11,12],[4,5,6,9,10,11],[4,5,7,10,12,13]];
G[1633]:=Group([(1,5,9)(3,8,12)(4,6,13)(7,11,10)]);
# Design 1634: autom. group order 3, simple
B[1634]:=[[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],[1,3,5,6,8,10],[1,3,5,11,12,13],[1,4,6,7,9,10],[1,4,6,8,11,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,3,6,9,12,13],[2,4,5,7,11,12],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,8,10,11,12],[3,4,5,8,9,12],[3,4,7,10,11,13],[3,4,8,10,11,12],[3,5,7,8,9,13],[3,6,7,9,10,12],[4,5,6,7,9,11],[4,5,6,10,12,13]];
G[1634]:=Group([(2,7,9)(3,8,11)(4,12,10)(5,6,13)]);
# Design 1635: autom. group order 3, simple, derived
B[1635]:=[[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],[1,3,5,6,8,10],[1,3,5,11,12,13],[1,4,6,7,9,10],[1,4,6,8,11,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,7,11,13],[2,3,6,9,12,13],[2,4,5,8,9,12],[2,4,8,10,11,13],[2,5,6,8,9,11],[2,5,7,8,10,13],[2,6,7,10,11,12],[3,4,5,7,11,12],[3,4,7,9,10,13],[3,4,8,10,11,12],[3,5,7,8,9,13],[3,6,8,9,10,12],[4,5,6,7,9,11],[4,5,6,10,12,13]];
G[1635]:=Group([(2,7,9)(3,8,11)(4,12,10)(5,6,13)]);
# Design 1636: autom. group order 3, simple
B[1636]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,10,12,13],[1,3,5,6,7,12],[1,3,5,8,9,11],[1,4,6,7,8,10],[1,4,6,9,11,12],[1,5,7,9,10,13],[1,6,8,10,11,13],[1,7,8,11,12,13],[2,3,6,7,11,13],[2,3,8,9,10,12],[2,4,5,8,11,13],[2,4,7,10,11,12],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,6,7,8,9,10],[3,4,5,8,10,13],[3,4,6,10,12,13],[3,4,7,9,11,13],[3,5,7,10,11,12],[3,6,8,9,12,13],[4,5,6,9,10,11],[4,5,7,8,9,12]];
G[1636]:=Group([(1,3,13)(2,6,10)(4,12,5)(7,8,9)]);
# Design 1637: autom. group order 3, simple, derived
B[1637]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,9,12],[1,3,5,6,8,10],[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],[2,4,5,6,7,10],[2,4,6,8,11,13],[2,5,8,9,10,13],[2,5,8,10,11,12],[2,6,7,10,12,13],[3,4,5,8,12,13],[3,4,7,9,10,12],[3,4,7,10,11,13],[3,5,6,7,9,13],[3,6,8,9,10,12],[4,5,6,9,11,12],[4,5,7,8,9,11]];
G[1637]:=Group([(1,4,5)(2,6,3)(7,10,8)(9,11,13)]);
# Design 1638: autom. group order 3, simple, derived
B[1638]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,10,12,13],[1,3,5,6,7,9],[1,3,5,8,11,12],[1,4,6,10,11,12],[1,4,7,8,10,11],[1,5,7,9,10,13],[1,6,7,8,12,13],[1,6,8,9,11,13],[2,3,6,10,11,13],[2,3,7,8,12,13],[2,4,5,6,8,9],[2,4,6,7,11,13],[2,5,7,8,10,11],[2,5,7,9,11,12],[2,6,8,9,10,12],[3,4,5,11,12,13],[3,4,7,9,10,13],[3,4,8,9,10,12],[3,5,6,8,10,13],[3,6,7,9,11,12],[4,5,6,7,10,12],[4,5,8,9,11,13]];
G[1638]:=Group([(1,4,5)(2,6,3)(7,8,9)(10,11,13)]);
# Design 1639: autom. group order 3, simple, derived
B[1639]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,9,12],[1,3,5,7,10,13],[1,3,5,8,11,12],[1,4,6,8,10,11],[1,4,6,9,11,13],[1,5,6,8,12,13],[1,6,7,8,9,10],[1,7,10,11,12,13],[2,3,6,8,11,12],[2,3,8,9,10,13],[2,4,5,6,7,10],[2,4,8,10,12,13],[2,5,6,9,11,13],[2,5,7,8,11,13],[2,6,7,10,11,12],[3,4,5,10,11,13],[3,4,6,7,12,13],[3,4,7,9,11,12],[3,5,6,9,10,12],[3,6,7,8,9,13],[4,5,7,8,9,11],[4,5,8,9,10,12]];
G[1639]:=Group([(1,3,5)(2,10,12)(4,13,8)(6,7,11)]);
# Design 1640: autom. group order 3, simple, derived
B[1640]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,10,12],[1,2,5,7,11,13],[1,3,5,7,9,12],[1,3,5,8,10,13],[1,4,6,8,10,13],[1,4,6,9,11,13],[1,5,6,8,11,12],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,6,8,12,13],[2,3,8,10,11,12],[2,4,5,6,11,12],[2,4,7,8,9,13],[2,5,6,7,9,10],[2,5,8,9,11,13],[2,6,7,10,12,13],[3,4,5,7,12,13],[3,4,6,7,10,11],[3,4,9,11,12,13],[3,5,6,9,10,13],[3,6,7,8,9,11],[4,5,7,8,10,11],[4,5,8,9,10,12]];
G[1640]:=Group([(1,8,9)(2,10,13)(3,5,11)(6,7,12)]);
# Design 1641: autom. group order 3, simple, derived
B[1641]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,10,11],[1,3,5,8,9,12],[1,3,5,10,12,13],[1,4,6,7,9,11],[1,4,8,10,11,13],[1,5,6,8,11,13],[1,6,7,8,9,12],[1,6,7,10,12,13],[2,3,6,7,11,13],[2,3,8,11,12,13],[2,4,5,6,10,12],[2,4,7,8,10,12],[2,5,6,9,11,12],[2,5,7,8,9,13],[2,6,8,9,10,13],[3,4,5,7,9,13],[3,4,6,8,11,12],[3,4,6,9,10,13],[3,5,6,7,8,10],[3,7,9,10,11,12],[4,5,7,11,12,13],[4,5,8,9,10,11]];
G[1641]:=Group([(1,2,13)(3,8,10)(4,9,12)(5,7,6)]);
# Design 1642: autom. group order 3, simple, derived
B[1642]:=[[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],[1,3,5,6,8,10],[1,3,5,11,12,13],[1,4,6,7,9,10],[1,4,6,8,11,13],[1,5,9,10,11,13],[1,6,7,8,12,13],[1,7,8,9,11,12],[2,3,6,9,12,13],[2,3,7,8,9,11],[2,4,6,10,11,12],[2,4,8,10,11,13],[2,5,6,7,9,13],[2,5,6,8,11,12],[2,5,7,8,10,13],[3,4,5,7,11,12],[3,4,5,8,9,13],[3,4,7,10,12,13],[3,6,7,10,11,13],[3,6,8,9,10,12],[4,5,6,7,9,11],[4,5,8,9,10,12]];
G[1642]:=Group([(2,7,9)(3,8,11)(4,12,10)(5,6,13)]);
# Design 1643: autom. group order 3, simple, derived
B[1643]:=[[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],[1,3,5,7,12,13],[1,3,6,8,10,13],[1,4,5,7,9,11],[1,4,6,8,10,11],[1,5,8,9,11,13],[1,6,7,8,9,12],[1,7,10,11,12,13],[2,3,5,8,11,12],[2,3,6,7,11,13],[2,4,5,9,10,13],[2,4,7,8,11,12],[2,5,7,8,10,13],[2,6,7,9,10,12],[2,6,8,9,11,13],[3,4,6,7,9,13],[3,4,8,9,10,12],[3,4,10,11,12,13],[3,5,6,9,11,12],[3,5,7,8,9,10],[4,5,6,7,10,11],[4,5,6,8,12,13]];
G[1643]:=Group([(1,3,9)(2,10,11)(4,8,5)(6,12,13)]);
# Design 1644: autom. group order 3, simple, derived
B[1644]:=[[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],[1,3,5,7,11,13],[1,3,6,10,12,13],[1,4,5,8,10,11],[1,4,8,11,12,13],[1,5,6,7,10,12],[1,6,7,8,9,11],[1,7,8,9,12,13],[2,3,5,8,12,13],[2,3,7,9,11,12],[2,4,5,7,11,12],[2,4,6,8,9,13],[2,5,7,8,10,13],[2,6,7,10,11,13],[2,6,8,10,11,12],[3,4,6,7,8,10],[3,4,6,11,12,13],[3,4,7,9,10,13],[3,5,6,8,9,11],[3,5,8,9,10,12],[4,5,6,7,9,12],[4,5,9,10,11,13]];
G[1644]:=Group([(1,11,13)(3,7,5)(4,12,8)(6,9,10)]);
# Design 1645: autom. group order 3, simple
B[1645]:=[[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],[1,3,5,6,9,12],[1,3,7,11,12,13],[1,4,5,8,10,13],[1,4,6,7,8,11],[1,5,6,8,9,13],[1,6,7,10,11,13],[1,8,9,10,11,12],[2,3,5,10,11,13],[2,3,6,8,10,13],[2,4,5,7,9,11],[2,4,8,11,12,13],[2,5,6,8,11,12],[2,6,7,8,9,10],[2,6,7,9,12,13],[3,4,6,7,10,12],[3,4,6,9,11,13],[3,4,8,9,10,12],[3,5,7,8,9,11],[3,5,7,8,12,13],[4,5,6,10,11,12],[4,5,7,9,10,13]];
G[1645]:=Group([(1,5,7)(2,10,12)(3,4,13)(6,9,11)]);
# Design 1646: autom. group order 3, simple, derived
B[1646]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,10,12,13],[1,3,5,9,11,12],[1,3,6,7,10,13],[1,4,5,6,8,13],[1,4,7,8,11,12],[1,5,7,8,9,10],[1,6,7,9,11,13],[1,6,8,10,11,12],[2,3,5,6,7,12],[2,3,8,11,12,13],[2,4,6,7,10,11],[2,4,8,9,10,13],[2,5,6,8,9,11],[2,5,7,10,11,13],[2,6,7,8,9,12],[3,4,5,8,10,11],[3,4,6,9,11,13],[3,4,7,9,10,12],[3,5,7,8,9,13],[3,6,8,10,12,13],[4,5,6,9,10,12],[4,5,7,11,12,13]];
G[1646]:=Group([(1,7,12)(2,13,6)(3,5,10)(4,11,8)]);
# Design 1647: autom. group order 3, simple
B[1647]:=[[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],[1,3,5,8,10,12],[1,3,6,8,9,13],[1,4,5,6,11,13],[1,4,8,9,11,12],[1,5,7,11,12,13],[1,6,7,8,10,13],[1,6,7,9,10,11],[2,3,5,9,10,13],[2,3,6,7,11,13],[2,4,6,7,9,12],[2,4,8,10,11,13],[2,5,6,8,12,13],[2,5,7,8,9,11],[2,6,8,10,11,12],[3,4,5,7,8,11],[3,4,6,7,10,12],[3,4,10,11,12,13],[3,5,6,9,11,12],[3,7,8,9,12,13],[4,5,6,8,9,10],[4,5,7,9,10,13]];
G[1647]:=Group([(1,4,10)(2,13,7)(3,11,6)(5,12,9)]);
# Design 1648: autom. group order 3, simple
B[1648]:=[[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],[1,3,5,8,12,13],[1,3,6,10,11,13],[1,4,5,6,11,12],[1,4,8,9,11,13],[1,5,7,8,10,11],[1,6,7,8,9,12],[1,6,7,9,10,13],[2,3,5,8,9,10],[2,3,6,7,11,13],[2,4,6,7,8,11],[2,4,9,10,11,12],[2,5,6,8,9,13],[2,5,7,11,12,13],[2,6,8,10,12,13],[3,4,5,7,9,13],[3,4,6,8,10,12],[3,4,7,10,12,13],[3,5,6,9,11,12],[3,7,8,9,11,12],[4,5,6,7,9,10],[4,5,8,10,11,13]];
G[1648]:=Group([(1,3,13)(2,7,9)(5,12,8)(6,10,11)]);
# Design 1649: autom. group order 3, simple, derived
B[1649]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,4,9,12,13],[1,2,5,7,10,11],[1,3,5,8,10,12],[1,3,6,8,9,11],[1,4,6,7,11,12],[1,4,6,9,10,13],[1,5,6,11,12,13],[1,5,7,8,9,13],[1,7,8,10,12,13],[2,3,5,11,12,13],[2,3,6,7,12,13],[2,4,6,8,10,12],[2,4,8,10,11,13],[2,5,6,7,9,10],[2,5,6,8,9,13],[2,7,8,9,11,12],[3,4,5,7,10,13],[3,4,5,8,9,12],[3,4,7,9,11,13],[3,6,7,9,10,12],[3,6,8,10,11,13],[4,5,6,7,8,11],[4,5,9,10,11,12]];
G[1649]:=Group([(1,3,13)(2,7,9)(5,10,6)(8,11,12)]);
# Design 1650: autom. group order 3, simple, derived
B[1650]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,6,7,9,11],[1,2,7,10,11,12],[1,3,6,8,10,12],[1,3,9,11,12,13],[1,4,5,7,12,13],[1,4,5,8,9,11],[1,4,6,8,12,13],[1,5,6,10,11,13],[1,7,8,9,10,13],[2,3,6,7,12,13],[2,3,8,10,11,13],[2,4,5,7,10,13],[2,4,6,9,11,13],[2,4,8,9,10,12],[2,5,6,8,11,12],[2,5,8,9,12,13],[3,4,5,10,11,12],[3,4,6,9,10,13],[3,4,7,9,11,12],[3,5,6,7,8,9],[3,5,7,8,11,13],[4,6,7,8,10,11],[5,6,7,9,10,12]];
G[1650]:=Group([(1,8,11)(2,12,3)(4,5,9)(6,13,7)]);
# Design 1651: autom. group order 3, simple, derived
B[1651]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,5,9,10],[1,2,6,9,11,12],[1,2,7,10,11,13],[1,3,6,10,11,12],[1,3,7,8,9,12],[1,4,5,7,12,13],[1,4,5,8,10,11],[1,4,6,8,12,13],[1,5,7,9,11,13],[1,6,8,9,10,13],[2,3,6,7,12,13],[2,3,8,9,11,13],[2,4,5,6,9,13],[2,4,6,7,10,11],[2,4,8,9,10,12],[2,5,7,8,10,12],[2,5,8,11,12,13],[3,4,5,9,11,12],[3,4,7,9,10,13],[3,4,10,11,12,13],[3,5,6,7,8,11],[3,5,6,8,10,13],[4,6,7,8,9,11],[5,6,7,9,10,12]];
G[1651]:=Group([(1,8,11)(2,12,3)(4,5,10)(6,7,13)]);