PermutationGroup<100|
\[60,72,81,43,11,87,34,8,63,10,5,46,28,71,42,97,17,57,52,
20,32,22,47,54,83,78,27,13,89,39,31,21,61,7,56,36,67,38,
30,40,41,15,4,76,88,12,23,59,86,74,66,19,99,24,75,35,18,
58,48,1,33,73,9,64,79,51,37,82,69,70,14,2,62,50,55,44,92,
26,65,80,3,68,25,90,98,49,6,45,29,84,91,77,93,100,95,96,
16,85,53,94],
\[86,53,40,29,98,27,83,38,23,47,42,14,10,81,90,20,3,69,
59,28,22,64,89,6,17,58,51,7,92,8,56,11,52,62,93,82,15,2,
100,48,80,46,4,33,84,91,1,25,67,34,73,94,30,65,68,37,63,
96,79,74,9,87,71,39,5,54,41,12,45,49,99,36,24,72,44,18,
26,50,35,70,55,60,16,76,77,13,78,43,95,31,32,88,19,75,61,
85,57,66,97,21]
/*order=44352000=2^9*3^2*5^3*7*11*/>
