/*
www-ATLAS of Group Representations.
U3(4):2 represented as permutations on 65 points.
*/

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