/*
www-ATLAS of Group Representations.
L3(13) represented as permutations on 183 points.
*/

G<x,y>:=PermutationGroup<183|\[
162,55,179,78,31,145,46,131,9,82,112,141,25,100,129,68,85,47,54,105,156,22,174,108,13,
140,37,86,146,135,5,65,67,126,180,36,27,111,103,43,178,107,40,102,59,7,18,127,80,151,
69,52,142,19,2,175,136,58,45,110,149,123,71,97,32,84,33,16,51,70,63,113,173,92,138,
130,153,4,93,49,172,10,155,66,17,28,143,98,89,125,109,74,79,133,152,171,64,88,99,14,
115,44,39,121,20,106,42,24,91,60,38,11,72,147,101,139,183,122,134,120,104,118,62,148,90,
34,48,176,15,76,8,154,94,119,30,57,137,75,116,26,12,53,87,177,6,29,114,124,61,182,
50,95,77,132,83,21,157,169,159,160,165,1,164,163,161,170,168,167,158,166,96,81,73,23,56,
128,144,41,3,35,181,150,117]
,\[
8,64,28,123,153,96,72,107,182,160,87,47,27,141,172,63,31,79,132,126,52,164,23,97,147,
85,116,111,66,140,99,24,30,81,178,45,145,130,161,77,149,56,89,39,165,46,114,94,183,138,
18,67,129,48,62,104,162,148,76,34,15,120,176,118,134,90,21,57,69,88,98,106,131,136,156,
159,180,35,51,70,60,19,152,53,143,163,108,80,128,29,179,103,169,54,124,115,32,151,17,92,
135,75,100,42,181,7,1,11,14,9,3,5,10,12,6,13,4,2,37,55,177,20,117,166,93,
122,74,43,84,157,142,82,58,146,171,127,105,139,50,33,109,73,26,168,119,65,170,133,173,83,
71,150,112,22,49,102,38,144,59,113,44,68,175,154,36,95,91,158,125,25,101,61,41,121,86,
16,174,78,167,40,137,110,155]
>;
print "Group G is L3(13) < Sym(183)";