Mathieu group M12 (order 95040) as a formal permutation group
MathieuGroupM12[]
MathieuGroupM12[]//GroupOrder
→ 95040MathieuGroupM12[]//GroupGenerators
→ {Cycles[{{1, 4}, {3, 10}, {5, 11}, {6, 12}}], Cycles[{{1, 8, 9}, {2, 3, 4}, {5, 12, 11}, {6, 10, 7}}]}