/*
www-ATLAS of Group Representations.
13^2:2L2(13).4 represented as permutations on 169 points.
*/

G<x,y>:=PermutationGroup<169|\[
2,3,5,7,9,11,13,15,17,19,20,22,24,26,28,30,32,34,36,38,25,31,42,44,43,
47,48,50,16,53,55,56,37,59,60,62,64,66,68,8,71,73,23,74,76,78,80,45,82,69,
85,87,89,1,91,93,94,95,97,21,99,70,101,103,105,41,107,108,106,110,29,112,113,115,104,
117,118,49,84,109,121,63,123,39,14,126,128,129,122,131,132,67,134,54,137,90,92,140,141,142,
51,144,10,79,18,81,147,72,46,88,65,149,96,61,116,139,146,52,151,150,153,6,111,100,143,
155,152,102,135,157,158,160,161,57,33,154,136,58,119,77,12,138,4,86,164,120,83,114,163,133,
125,162,130,166,167,75,168,35,148,159,127,27,169,165,124,145,98,40,156]
,\[
1,4,6,8,10,12,14,16,18,13,21,23,25,27,29,31,33,35,37,39,40,41,43,45,46,
9,49,51,52,54,55,57,58,30,61,63,65,67,69,70,72,59,60,75,77,79,38,81,83,84,
86,88,90,62,92,68,85,96,98,89,100,50,102,104,93,106,73,109,42,97,111,94,114,19,116,
71,66,119,120,36,122,20,124,91,125,127,101,56,130,107,99,133,135,136,138,139,44,112,34,141,
143,145,146,95,87,48,110,103,148,78,105,82,22,131,53,11,150,115,118,152,47,24,154,144,28,
76,32,140,156,3,159,64,2,155,137,160,147,123,108,162,163,113,126,161,117,17,74,15,165,164,
134,5,132,153,158,128,169,168,121,142,7,149,26,80,167,157,129,166,151]
>;
print "Group G is 13^2:2L2(13).4 < Sym(169)";