/*
www-ATLAS of Group Representations.
L3(4) represented as permutations on 56 points.
*/

G<x,y>:=PermutationGroup<56|\[
1,4,6,2,9,3,12,11,5,16,8,7,20,14,22,10,25,26,19,13,29,15,23,33,17,
18,37,38,21,30,41,42,24,45,39,46,27,28,35,48,31,32,49,51,34,36,53,40,43,55,
44,52,47,54,50,56]
,\[
2,5,1,7,3,10,13,4,14,17,6,18,8,21,9,23,11,27,12,28,15,30,32,16,34,
20,19,36,39,40,22,24,43,46,25,26,47,48,29,31,37,41,50,33,52,35,42,38,54,44,
45,56,55,49,53,51]
>;
print "Group G is L3(4) < Sym(56)";