/*
www-ATLAS of Group Representations.
2S5i represented as permutations on 80 points.
*/

G<x,y>:=PermutationGroup<80|\[
2,6,9,1,8,4,17,16,15,23,3,19,5,24,11,13,12,29,7,30,33,36,14,10,35,
37,41,44,20,18,43,45,25,50,21,26,22,51,57,58,31,60,27,32,28,61,67,68,69,38,
34,70,63,66,65,64,40,39,73,46,42,74,55,54,53,56,48,47,52,49,76,75,62,59,71,
72,80,79,77,78]
,\[
3,7,10,12,1,15,18,2,21,16,25,20,4,5,14,6,27,13,31,8,34,9,39,40,38,
11,42,17,47,48,46,19,24,26,23,53,55,22,49,52,30,32,29,63,65,28,59,62,33,71,
72,35,67,36,68,37,64,66,41,75,76,43,58,44,57,45,56,54,50,51,78,77,60,61,80,
79,69,70,73,74]
>;
print "Group G is 2S5i < Sym(80)";