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

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