/*
www-ATLAS of Group Representations.
HS represented as permutations on 100 points.
*/

G<x,y>:=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]
>;
print "Group G is HS < Sym(100)";