G:= PermutationGroup<120 | \[ 2, 1, 4, 3, 7, 9, 5, 12, 6, 14, 16, 8, 13, 10, 21, 11, 23, 25, 27, 29, 15, 32, 17, 34, 18, 36, 19, 38, 20, 30, 42, 22, 33, 24, 46, 26, 49, 28, 52, 53, 54, 31, 56, 58, 60, 35, 63, 65, 37, 50, 69, 39, 40, 41, 55, 43, 57, 44, 74, 45, 76, 62, 47, 80, 48, 66, 72, 68, 51, 78, 85, 67, 73, 59, 89, 61, 83, 70, 79, 64, 95, 97, 77, 98, 71, 86, 87, 102, 75, 105, 91, 92, 93, 108, 81, 109, 82, 84, 111, 101, 100, 88, 113, 112, 90, 106, 107, 94, 96, 110, 99, 104, 103, 119, 115, 116, 117, 118, 114, 120 ], \[ 3, 1, 5, 6, 8, 10, 11, 2, 13, 15, 17, 18, 19, 20, 22, 7, 24, 26, 28, 30, 31, 4, 33, 16, 35, 29, 37, 39, 40, 41, 43, 25, 44, 45, 47, 48, 50, 51, 9, 12, 55, 36, 57, 59, 61, 62, 64, 66, 67, 68, 46, 23, 60, 70, 14, 71, 72, 73, 52, 75, 77, 78, 79, 32, 81, 82, 65, 83, 56, 84, 86, 21, 87, 88, 90, 91, 92, 38, 93, 94, 96, 42, 27, 99, 100, 101, 95, 103, 104, 106, 85, 34, 107, 89, 105, 49, 108, 110, 112, 102, 69, 76, 114, 115, 58, 53, 116, 113, 98, 117, 109, 54, 118, 120, 80, 63, 111, 119, 97, 74 ]>; size:= 47377612800; name:= "S8(2)"; compfactor:= < 2, 4, 2 >; M:= 1; A:= 1;