G:= PermutationGroup<85 | \[ 2, 1, 3, 6, 8, 4, 11, 5, 14, 16, 7, 12, 18, 9, 15, 10, 22, 13, 25, 26, 21, 17, 30, 24, 19, 20, 32, 36, 29, 23, 39, 27, 41, 43, 45, 28, 47, 38, 31, 40, 33, 52, 34, 55, 35, 46, 37, 57, 49, 60, 62, 42, 54, 53, 44, 58, 48, 56, 59, 50, 68, 51, 70, 64, 65, 74, 73, 61, 69, 63, 71, 75, 67, 66, 72, 78, 80, 76, 79, 77, 81, 82, 83, 84, 85 ], \[ 3, 4, 5, 7, 9, 10, 12, 13, 15, 17, 18, 19, 16, 20, 1, 21, 23, 24, 2, 27, 28, 29, 31, 32, 33, 34, 35, 8, 37, 38, 6, 40, 42, 44, 46, 26, 48, 49, 50, 11, 51, 53, 54, 47, 56, 14, 36, 58, 59, 61, 63, 64, 57, 65, 30, 66, 25, 22, 55, 67, 69, 45, 71, 72, 73, 75, 76, 77, 74, 68, 78, 79, 80, 39, 62, 81, 82, 41, 83, 43, 84, 85, 52, 60, 70 ]>; size:= 979200; name:= "S4(4)"; compfactor:= < 2, 2, 4 >; M:= 1; A:= 1;