PermutationGroup<80|
\[2,1,5,7,3,10,4,12,9,6,16,8,18,14,21,11,24,13,26,27,
15,28,30,17,33,19,20,22,29,23,34,38,25,31,41,36,43,32,46,
48,35,50,37,52,45,39,56,40,59,42,61,44,62,63,64,47,67,58,
49,69,51,53,54,55,71,66,57,72,60,75,65,68,77,74,70,78,73,
76,80,79],
\[3,4,6,8,9,11,12,13,14,15,17,16,19,20,22,23,1,25,2,21,
5,29,31,32,34,35,18,27,36,37,7,39,40,28,42,10,44,45,47,
49,26,51,30,53,54,55,57,58,60,61,41,62,43,50,65,66,24,67,
68,63,38,48,33,70,56,46,52,73,74,71,76,75,69,59,77,78,79,
64,80,72]
/*order=51840=2^7*3^4*5*/>
