G:= PermutationGroup<12 | \[ 4, 2, 10, 1, 11, 12, 7, 8, 9, 3, 5, 6 ], \[ 8, 3, 4, 2, 12, 10, 6, 9, 1, 7, 5, 11 ]>; size:= 95040; name:= "M12"; compfactor:= < 18, 2, 0 >; M:= 1; A:= 1;