/*
www-ATLAS of Group Representations.
U5(2):2 represented as permutations on 165 points.
*/

G<x,y>:=PermutationGroup<165|\[
2,1,5,4,3,6,9,10,7,8,13,15,11,17,12,20,14,23,24,16,21,28,18,19,32,
34,36,22,37,38,40,25,43,26,44,27,29,30,39,31,49,42,33,35,52,53,55,57,41,54,
61,45,46,50,47,59,48,67,56,60,51,70,72,74,76,77,58,79,69,62,75,63,81,64,71,
65,66,87,68,83,73,90,80,91,86,85,78,93,94,82,84,97,88,89,101,103,92,106,107,109,
95,112,96,113,115,98,99,118,100,121,123,102,104,114,105,127,129,108,131,132,110,134,111,136,137,
138,116,133,117,142,119,120,128,122,135,124,125,126,140,139,145,130,143,144,141,146,147,151,155,157,
148,153,152,159,149,156,150,163,154,164,162,161,158,160,165]
,\[
3,4,6,2,7,8,10,1,11,12,14,5,16,18,19,21,22,9,25,26,27,29,30,31,33,
35,13,17,28,39,41,42,15,23,45,38,46,47,34,48,43,50,24,51,20,54,56,58,59,60,
62,63,64,65,40,36,66,55,68,32,69,71,73,75,37,70,78,77,80,81,44,82,83,84,85,
86,49,79,88,89,57,76,52,92,53,72,87,67,61,95,96,98,99,100,102,104,105,74,108,110,
111,113,103,114,116,101,117,119,120,122,124,125,90,91,126,128,130,118,93,133,123,94,135,106,127,
139,140,97,141,143,144,145,146,147,136,121,148,149,150,112,151,152,107,153,154,109,137,134,156,115,
158,155,159,160,161,162,163,129,131,132,142,138,165,157,164]
>;
print "Group G is U5(2):2 < Sym(165)";