PermutationGroup<80|
\[2,4,6,8,10,9,13,1,16,15,19,21,17,24,25,3,28,30,26,11,
27,33,35,29,5,20,39,7,42,38,44,46,40,43,41,18,48,36,12,
53,55,14,54,51,58,52,60,56,34,61,63,65,22,49,23,67,59,64,
69,66,68,71,31,72,32,74,37,75,73,77,76,45,57,47,50,79,78,
80,62,70],
\[3,5,7,9,11,12,14,15,17,18,20,22,23,1,26,27,29,31,8,2,
32,34,36,37,38,19,40,41,4,43,45,47,33,6,48,49,50,51,52,
54,30,56,28,57,10,59,58,55,13,62,64,66,53,16,67,68,65,21,
63,70,61,24,69,25,73,72,35,76,46,74,71,39,44,78,75,42,77,
60,79,80]
/*order=12130560=2^8*3^6*5*13*/>
