// defining a permutation group generated by a few permutations H := PermutationGroup< 24 | (2,3)(5,6)(7,8)(9,10)(11,12)(14,15)(16,17)(18,19)(20,21)(23,24), (1,2,7,18,8,9)(3,22,10,20,19,21)(4,6,23,17,24,14)(5,13,15,11,16,12), (1,4)(2,14)(3,15)(5,10)(6,9)(7,24)(8,23)(11,21)(12,20)(13,22)(16,19)(17,18)>; H; Order(H);