B:=[];
G:=[];
# Design 1: autom. group order 39, simple, derived
B[1]:=[[1,2,3,4,5,6],[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],[1,4,6,10,12,13],[1,5,7,8,11,13],[1,6,7,8,9,12],[1,6,8,10,11,12],[2,3,7,11,12,13],[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],[2,6,7,9,10,13],[3,4,6,7,10,13],[3,4,6,8,9,11],[3,4,9,11,12,13],[3,5,6,8,10,13],[3,5,7,10,11,12],[3,5,8,9,10,12],[4,5,6,7,9,11]];
G[1]:=Group([(2,7,12)(3,8,6)(4,9,11)(5,13,10),(1,2,3)(4,5,6)(7,9,11)(8,10,12)]);
# Design 2: autom. group order 39, simple, derived
B[2]:=[[1,2,3,4,5,6],[1,2,3,4,7,8],[1,2,3,9,10,11],[1,2,5,7,8,12],[1,2,5,9,10,13],[1,3,5,6,11,12],[1,3,7,9,11,13],[1,4,6,8,9,13],[1,4,6,10,11,12],[1,4,8,9,10,12],[1,5,7,10,12,13],[1,6,7,8,11,13],[2,3,6,8,12,13],[2,3,8,10,11,13],[2,4,5,6,9,13],[2,4,6,7,10,11],[2,4,7,9,11,12],[2,5,8,9,11,12],[2,6,7,10,12,13],[3,4,5,7,8,10],[3,4,5,11,12,13],[3,4,7,9,12,13],[3,5,6,7,9,10],[3,6,8,9,10,12],[4,5,8,10,11,13],[5,6,7,8,9,11]];
G[2]:=Group([(2,4,9)(3,8,10)(5,6,13)(7,12,11),(1,2,5)(3,9,12)(4,13,7)(6,10,8)]);