/*
www-ATLAS of Group Representations.
L3(3) represented as permutations on 144 points.
*/

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