/*
www-ATLAS of Group Representations.
3.L3(4) represented as permutations on 63 points.
*/

G<x,y>:=PermutationGroup<63|\[
2,1,6,8,9,3,7,4,5,19,16,18,13,14,22,11,27,12,10,30,32,15,37,34,36,
40,17,42,43,20,48,21,49,24,35,25,23,55,56,26,41,28,29,44,54,59,51,31,33,50,
47,52,53,45,38,39,57,58,46,60,61,62,63]
,\[
1,5,3,4,10,11,2,12,15,7,20,21,6,8,23,24,9,25,29,13,14,33,17,38,39,
16,41,18,44,45,19,46,50,48,22,51,54,26,28,57,27,58,56,31,60,61,30,62,32,35,
63,34,36,37,59,43,40,42,55,47,49,52,53]
>;
print "Group G is 3.L3(4) < Sym(63)";