B:=[];
G:=[];
# Design 1: autom. group order 12, simple
B[1]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,6,7,10,12,13],[2,5,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,6,7,8,9,10,12]];
G[1]:=Group([(2,12)(3,14)(5,10)(6,8)(7,9),(1,2)(4,5)(6,8)(7,9)(13,14),(1,4)(2,5)(6,7)(8,9)(10,12)]);
# Design 2: autom. group order 12, simple
B[2]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,9,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14]];
G[2]:=Group([(4,5,6)(8,11,9)(10,12,13),(1,3)(4,10)(5,13)(6,12)(7,14)(8,9),(1,7)(3,14)(5,6)(8,11)(10,12)]);
# Design 3: autom. group order 12, simple
B[3]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,6,7,9,11,13,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]];
G[3]:=Group([(4,5,6)(8,11,9)(10,12,13),(1,3)(4,10)(5,12)(6,13)(7,14),(1,7)(3,14)(5,6)(8,9)(12,13)]);
# Design 4: autom. group order 12, simple
B[4]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,9,13,14],[1,3,5,7,10,12,14],[1,3,5,8,10,13,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,11,12,14],[2,3,6,8,11,13,14],[2,4,5,8,10,11,12],[2,4,6,10,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,9,10,11,14]];
G[4]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13),(2,3)(4,5)(7,8)(9,10)(12,13),(1,2)(5,6)(7,8)(10,11)(12,13)]);
# Design 5: autom. group order 12, simple, residual
B[5]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,12,13,14],[1,3,5,6,7,13,14],[1,3,6,8,9,12,14],[1,4,5,8,9,10,11],[1,4,6,7,9,11,12],[1,5,7,11,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,9,10,11,13],[4,5,6,9,10,13,14]];
G[5]:=Group([(3,4)(6,9)(7,8)(10,13)(11,14),(2,6)(4,7)(8,14)(9,13)(10,12)]);