dev:=function(g,bb) return Union(List(bb,x->Orbit(g,x,OnSets))); end; g:=Group((1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(2,4,10,11,14,6,16,12,17,15,9,8,5,13,3,7)); bb2:=[[1, 2, 3, 4, 5, 6, 7, 10 ], [1, 2, 3, 4, 5, 6, 8, 10 ], [1, 2, 3, 4, 5, 6, 8, 13 ], [1, 2, 3, 4, 5, 6, 9, 12 ], [1, 2, 3, 4, 5, 6, 10, 14 ], [1, 2, 3, 4, 5, 7, 8, 12 ], [1, 2, 3, 4, 5, 7, 9, 14 ], [1, 2, 3, 4, 5, 7, 10, 14 ], [1, 2, 3, 4, 5, 7, 11, 13 ], [1, 2, 3, 4, 5, 7, 14, 15 ], [1, 2, 3, 4, 5, 9, 10, 12 ], [1, 2, 3, 4, 6, 7, 8, 9 ], [1, 2, 3, 4, 6, 7, 9, 16 ], [1, 2, 3, 4, 6, 7, 12, 16 ], [1, 2, 3, 4, 6, 7, 14, 16 ], [1, 2, 3, 4, 6, 8, 14, 16 ], [1, 2, 3, 4, 6, 9, 11, 15 ], [1, 2, 3, 4, 7, 8, 9, 12 ]]; bb3:=[ [ 1, 2, 3, 4, 5, 6, 7, 11 ], [ 1, 2, 3, 4, 5, 6, 7, 12 ], [ 1, 2, 3, 4, 5, 6, 8, 9 ], [ 1, 2, 3, 4, 5, 6, 8, 11 ], [ 1, 2, 3, 4, 5, 6, 8, 12 ], [ 1, 2, 3, 4, 5, 6, 9, 15 ], [ 1, 2, 3, 4, 5, 6, 10, 11 ], [ 1, 2, 3, 4, 5, 6, 10, 14 ], [ 1, 2, 3, 4, 5, 7, 8, 9 ], [ 1, 2, 3, 4, 5, 7, 8, 14 ], [ 1, 2, 3, 4, 5, 7, 10, 12 ], [ 1, 2, 3, 4, 5, 7, 11, 14 ], [ 1, 2, 3, 4, 5, 7, 14, 15 ], [ 1, 2, 3, 4, 5, 8, 9, 11 ], [ 1, 2, 3, 4, 5, 8, 9, 13 ], [ 1, 2, 3, 4, 5, 8, 10, 14 ], [ 1, 2, 3, 4, 5, 8, 11, 13 ], [ 1, 2, 3, 4, 5, 9, 10, 12 ], [ 1, 2, 3, 4, 5, 9, 11, 14 ], [ 1, 2, 3, 4, 6, 7, 8, 16 ], [ 1, 2, 3, 4, 6, 7, 9, 10 ], [ 1, 2, 3, 4, 6, 7, 9, 11 ], [ 1, 2, 3, 4, 6, 7, 12, 16 ], [ 1, 2, 3, 4, 6, 7, 13, 15 ], [ 1, 2, 3, 4, 6, 8, 14, 16 ], [ 1, 2, 3, 4, 6, 9, 11, 15 ], [ 1, 2, 3, 5, 11, 13, 14, 15 ] ]; bb4:=[ [ 1, 2, 3, 4, 5, 6, 7, 8 ], [ 1, 2, 3, 4, 5, 6, 7, 11 ], [ 1, 2, 3, 4, 5, 6, 8, 13 ], [ 1, 2, 3, 4, 5, 6, 8, 14 ], [ 1, 2, 3, 4, 5, 6, 9, 10 ], [ 1, 2, 3, 4, 5, 6, 9, 12 ], [ 1, 2, 3, 4, 5, 6, 9, 15 ], [ 1, 2, 3, 4, 5, 6, 10, 12 ], [ 1, 2, 3, 4, 5, 7, 8, 11 ], [ 1, 2, 3, 4, 5, 7, 8, 12 ], [ 1, 2, 3, 4, 5, 7, 8, 14 ], [ 1, 2, 3, 4, 5, 7, 8, 16 ], [ 1, 2, 3, 4, 5, 7, 9, 10 ], [ 1, 2, 3, 4, 5, 7, 9, 13 ], [ 1, 2, 3, 4, 5, 7, 10, 12 ], [ 1, 2, 3, 4, 5, 7, 10, 14 ], [ 1, 2, 3, 4, 5, 7, 10, 16 ], [ 1, 2, 3, 4, 5, 7, 11, 14 ], [ 1, 2, 3, 4, 5, 7, 11, 15 ], [ 1, 2, 3, 4, 5, 7, 14, 15 ], [ 1, 2, 3, 4, 5, 8, 9, 10 ], [ 1, 2, 3, 4, 5, 8, 9, 11 ], [ 1, 2, 3, 4, 5, 8, 9, 12 ], [ 1, 2, 3, 4, 5, 8, 10, 13 ], [ 1, 2, 3, 4, 5, 9, 10, 12 ], [ 1, 2, 3, 4, 6, 7, 9, 10 ], [ 1, 2, 3, 4, 6, 7, 9, 11 ], [ 1, 2, 3, 4, 6, 7, 9, 16 ], [ 1, 2, 3, 4, 6, 7, 13, 16 ], [ 1, 2, 3, 4, 6, 7, 14, 16 ], [ 1, 2, 3, 4, 6, 7, 15, 16 ], [ 1, 2, 3, 4, 6, 8, 9, 16 ], [ 1, 2, 3, 4, 6, 9, 11, 15 ], [ 1, 2, 3, 4, 6, 9, 13, 15 ] ]; bb5:=[ [ 1, 2, 3, 4, 5, 6, 7, 9 ], [ 1, 2, 3, 4, 5, 6, 7, 12 ], [ 1, 2, 3, 4, 5, 6, 8, 10 ], [ 1, 2, 3, 4, 5, 6, 8, 11 ], [ 1, 2, 3, 4, 5, 6, 8, 12 ], [ 1, 2, 3, 4, 5, 6, 9, 12 ], [ 1, 2, 3, 4, 5, 6, 9, 13 ], [ 1, 2, 3, 4, 5, 6, 9, 14 ], [ 1, 2, 3, 4, 5, 6, 10, 11 ], [ 1, 2, 3, 4, 5, 6, 10, 12 ], [ 1, 2, 3, 4, 5, 6, 10, 13 ], [ 1, 2, 3, 4, 5, 7, 8, 9 ], [ 1, 2, 3, 4, 5, 7, 8, 10 ], [ 1, 2, 3, 4, 5, 7, 8, 14 ], [ 1, 2, 3, 4, 5, 7, 9, 10 ], [ 1, 2, 3, 4, 5, 7, 9, 15 ], [ 1, 2, 3, 4, 5, 7, 10, 12 ], [ 1, 2, 3, 4, 5, 7, 10, 14 ], [ 1, 2, 3, 4, 5, 7, 10, 16 ], [ 1, 2, 3, 4, 5, 7, 11, 13 ], [ 1, 2, 3, 4, 5, 7, 11, 14 ], [ 1, 2, 3, 4, 5, 7, 12, 14 ], [ 1, 2, 3, 4, 5, 7, 12, 15 ], [ 1, 2, 3, 4, 5, 7, 14, 15 ], [ 1, 2, 3, 4, 5, 8, 9, 10 ], [ 1, 2, 3, 4, 5, 8, 9, 11 ], [ 1, 2, 3, 4, 5, 8, 9, 13 ], [ 1, 2, 3, 4, 5, 8, 9, 15 ], [ 1, 2, 3, 4, 6, 7, 8, 11 ], [ 1, 2, 3, 4, 6, 7, 8, 14 ], [ 1, 2, 3, 4, 6, 7, 8, 16 ], [ 1, 2, 3, 4, 6, 7, 9, 10 ], [ 1, 2, 3, 4, 6, 7, 11, 13 ], [ 1, 2, 3, 4, 6, 7, 13, 16 ], [ 1, 2, 3, 4, 6, 7, 14, 15 ], [ 1, 2, 3, 4, 6, 7, 14, 16 ], [ 1, 2, 3, 4, 6, 7, 15, 16 ], [ 1, 2, 3, 4, 6, 8, 9, 11 ], [ 1, 2, 3, 4, 6, 9, 11, 15 ], [ 1, 2, 3, 4, 6, 9, 13, 14 ], [ 1, 2, 3, 4, 7, 8, 9, 12 ], [ 1, 2, 3, 5, 11, 13, 14, 15 ] ]; d2:=dev(g,bb2); d3:=dev(g,bb3); d4:=dev(g,bb4); d5:=dev(g,bb5);