/*
www-ATLAS of Group Representations.
2S5 represented as permutations on 40 points.
*/

G<x,y>:=PermutationGroup<40|\[
1,4,6,2,7,3,5,14,16,18,20,22,24,8,21,9,23,10,19,11,15,12,17,13,33,
35,27,37,38,39,31,34,25,32,26,36,28,29,30,40]
,\[
2,5,1,8,10,11,3,15,4,19,21,6,7,22,26,27,9,29,13,16,30,32,12,28,14,
24,36,17,23,18,20,33,37,25,40,38,39,35,34,31]
>;
print "Group G is 2S5 < Sym(40)";