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