B:=[];
G:=[];
# Design 1: autom. group order 156, simple, derived
B[1]:=[[1,2,3,4,5,6],[1,2,3,7,8,9],[1,2,4,7,10,11],[1,2,5,8,10,12],[1,2,9,11,12,13],[1,3,4,7,12,13],[1,3,5,10,11,13],[1,3,6,9,10,12],[1,4,5,8,9,11],[1,4,6,8,10,13],[1,5,6,7,9,13],[1,6,7,8,11,12],[2,3,4,9,10,13],[2,3,5,7,11,12],[2,3,6,8,11,13],[2,4,5,7,8,13],[2,4,6,8,9,12],[2,5,6,9,10,11],[2,6,7,10,12,13],[3,4,6,7,9,11],[3,4,8,10,11,12],[3,5,6,7,8,10],[3,5,8,9,12,13],[4,5,6,11,12,13],[4,5,7,9,10,12],[7,8,9,10,11,13]];
G[1]:=Group([(2,3)(4,7)(5,9)(6,8)(10,12)(11,13),(2,4,3,7)(5,13,9,11)(6,12,8,10),(2,5,6,7,11,10,3,9,8,4,13,12),(1,2)(3,9)(4,12)(5,11)(6,13)(7,8)]);