PermutationGroup<24|
\[2,4,6,8,10,9,12,1,14,13,16,15,17,3,19,18,5,21,7,22,
11,24,20,23],
\[3,5,7,9,11,12,1,13,15,14,2,17,18,19,4,20,6,8,10,23,
24,21,16,22]>
