/*
www-ATLAS of Group Representations.
L2(7):2 represented as permutations on 56 points.
*/

G<x,y>:=PermutationGroup<56|\[
1,4,5,2,3,10,11,12,13,6,7,8,9,22,23,24,25,26,27,28,21,14,15,16,17,
18,19,20,38,39,31,40,41,42,35,36,43,29,30,32,33,34,37,50,45,51,52,53,54,44,
46,47,48,49,56,55]
,\[
2,3,1,6,8,7,4,9,5,14,16,18,20,15,10,17,11,19,12,21,13,28,23,30,32,
34,36,29,22,31,24,33,25,35,26,37,27,44,38,45,47,41,48,39,46,40,42,49,43,54,
50,55,52,51,53,56]
>;
print "Group G is L2(7):2 < Sym(56)";