/*
www-ATLAS of Group Representations.
L2(19) represented as permutations on 57 points.
*/

G<x,y>:=PermutationGroup<57|\[
1,4,5,2,3,8,9,6,7,14,15,12,16,10,11,13,23,24,25,20,26,27,17,18,19,
21,22,35,36,37,38,39,40,41,28,29,30,31,32,33,34,50,47,52,51,46,43,53,54,42,
45,44,48,49,56,55,57]
,\[
2,3,1,6,5,7,4,10,12,11,8,13,9,17,19,21,18,14,20,15,22,16,28,30,31,
33,24,29,23,27,32,25,34,26,42,44,37,46,48,40,50,43,35,45,36,47,38,49,39,51,
41,55,56,52,54,57,53]
>;
print "Group G is L2(19) < Sym(57)";