/*
www-ATLAS of Group Representations.
U4(2):2 represented as permutations on 45 points.
*/

G<x,y>:=PermutationGroup<45|\[
1,2,4,3,7,9,5,8,6,10,16,12,18,20,22,11,26,13,24,14,31,15,30,19,25,
17,27,37,29,23,21,32,33,34,41,39,28,38,36,43,35,42,40,44,45]
,\[
2,3,1,5,8,4,11,13,12,6,17,7,19,9,10,24,27,28,23,29,14,18,15,33,16,
35,32,22,38,20,39,21,30,25,42,26,36,34,37,31,43,44,45,40,41]
>;
print "Group G is U4(2):2 < Sym(45)";