/*
www-ATLAS of Group Representations.
2.S6 represented as permutations on 80 points.
*/

G<x,y>:=PermutationGroup<80|\[
1,5,3,8,2,13,11,4,16,17,7,21,6,24,22,9,10,30,28,31,12,15,34,14,38,
27,26,19,42,18,20,45,33,23,52,50,54,25,58,59,60,29,64,65,32,46,68,69,67,36,
62,35,71,37,72,73,66,39,40,41,77,51,76,43,44,57,49,47,48,80,53,55,56,74,75,
63,61,78,79,70]
,\[
2,6,7,1,10,9,14,3,4,18,19,5,23,15,8,20,27,22,26,11,32,12,35,36,13,
16,40,30,17,44,45,47,21,49,39,53,24,56,25,43,28,62,29,61,66,31,48,33,68,69,
34,70,55,51,37,50,38,71,75,73,41,65,42,79,78,67,46,54,57,64,80,52,59,58,76,
60,74,63,72,77]
>;
print "Group G is 2.S6 < Sym(80)";