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

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