/*
www-ATLAS of Group Representations.
2.A6 represented as permutations on 80 points.
*/

G<x,y>:=PermutationGroup<80|\[
2,4,9,5,1,16,19,22,11,27,12,3,17,21,23,13,6,28,14,35,7,15,8,36,41,
43,18,10,42,44,49,52,51,53,24,20,59,62,61,63,29,25,30,26,69,58,71,56,33,64,
31,34,32,60,77,46,78,48,39,50,37,40,38,54,68,67,65,66,47,76,45,74,80,70,79,
72,57,55,73,75]
,\[
3,7,10,11,14,1,20,2,25,13,18,29,4,24,5,31,33,6,30,15,26,37,39,8,19,
9,45,47,21,12,50,16,54,17,55,57,60,22,64,23,63,62,53,52,70,27,72,28,73,34,
75,77,78,32,79,35,80,36,74,40,76,71,69,38,41,42,43,44,66,48,65,46,61,49,59,
51,67,68,58,56]
>;
print "Group G is 2.A6 < Sym(80)";