PermutationGroup<31|
\[1,2,3,5,4,8,9,6,7,10,11,12,13,14,15,19,17,21,16,20,
18,22,25,24,23,27,26,28,29,31,30],
\[2,3,4,6,7,1,10,11,12,13,14,15,16,17,18,5,20,22,23,8,
24,9,26,27,21,28,29,30,25,19,31]
/*order=9999360=2^10*3^2*5*7*31*/>
