/*
www-ATLAS of Group Representations.
U3(4):4 represented as permutations on 65 points.
*/

G<x,y>:=PermutationGroup<65|\[
2,1,5,7,3,10,4,13,15,6,14,19,8,11,9,23,25,26,12,29,30,32,16,24,17,
18,38,40,20,21,45,22,47,43,49,51,52,27,48,28,55,44,34,42,31,59,33,39,35,58,
36,37,63,65,41,61,60,50,46,57,56,64,53,62,54]
,\[
1,3,6,2,8,4,11,14,5,16,18,7,20,9,21,24,10,12,27,13,31,15,33,17,35,
32,39,19,41,43,22,46,48,23,50,25,26,38,28,53,56,29,57,30,58,37,60,34,51,36,
47,61,64,40,62,42,44,63,45,49,55,52,59,54,65]
>;
print "Group G is U3(4):4 < Sym(65)";