PermutationGroup<82|
\[1,3,2,6,7,4,5,11,12,14,8,9,18,10,20,21,23,13,26,15,
16,30,17,32,33,19,36,37,39,22,42,24,25,46,47,27,28,51,29,
43,41,31,40,55,57,34,35,60,61,63,38,66,67,68,44,71,45,72,
65,48,49,73,50,75,59,52,53,54,77,74,56,58,62,70,64,79,69,
80,76,78,82,81],
\[2,4,5,1,8,9,10,3,13,15,16,17,6,19,7,22,24,25,27,28,
29,11,31,12,34,35,14,38,40,41,43,44,45,18,48,49,50,20,52,
21,53,54,23,56,57,58,59,26,62,64,65,63,30,69,70,32,33,73,
72,74,67,36,39,37,68,60,76,51,42,77,78,47,46,66,75,61,55,
79,71,81,82,80]>
