/*
www-ATLAS of Group Representations.
L3(3):2 represented as permutations on 234 points.
*/

G<x,y>:=PermutationGroup<234|\[
1,4,6,2,9,3,12,14,5,17,19,7,21,8,24,26,10,27,11,29,13,31,23,15,25,
16,18,37,20,38,22,41,42,43,44,45,28,30,48,50,32,33,34,35,36,61,62,39,49,40,
63,65,66,68,69,71,72,74,75,76,46,47,51,82,52,53,87,54,55,92,56,57,97,58,59,
60,103,105,106,108,109,64,112,114,115,117,67,120,89,90,123,70,124,126,127,129,73,130,131,133,
134,136,77,111,78,79,118,80,81,132,104,83,148,84,85,152,86,107,135,88,157,158,91,93,163,
94,95,167,96,98,99,110,100,101,119,102,179,177,181,153,183,149,185,186,180,187,188,113,142,189,
191,116,140,160,161,196,121,122,198,154,155,175,125,201,203,173,128,204,206,207,182,193,166,205,162,
209,138,210,137,145,139,171,141,197,143,144,146,147,150,217,151,208,172,212,199,156,184,159,195,222,
164,211,165,168,174,169,170,192,176,178,202,194,224,225,226,227,190,229,219,230,231,200,223,213,214,
215,216,228,218,220,221,232,234,233]
,\[
2,5,1,7,3,10,13,4,15,18,6,20,8,22,25,9,23,11,28,12,30,17,14,32,16,
34,36,19,35,21,39,37,24,29,26,27,33,46,49,31,51,53,55,57,59,50,38,60,40,47,
64,41,67,42,70,43,73,44,48,45,77,79,74,52,83,85,54,88,90,56,93,95,58,98,99,
101,104,61,107,62,63,110,113,65,116,66,118,121,68,122,69,111,125,71,128,72,119,81,132,75,
135,76,137,78,139,141,80,131,144,92,82,146,84,149,150,86,153,97,87,155,89,91,159,161,94,
164,114,96,168,170,172,100,173,175,102,177,180,103,182,105,184,106,108,148,109,183,112,145,166,190,
115,192,194,117,195,120,197,193,199,123,200,124,185,202,126,127,171,205,129,167,130,143,208,133,186,
134,207,136,211,138,213,140,147,142,157,176,206,215,189,151,218,158,152,154,156,214,163,220,160,162,
219,165,203,216,169,187,178,174,221,222,223,179,196,181,204,188,210,201,191,209,198,228,212,229,225,
226,233,217,230,232,231,224,227,234]
>;
print "Group G is L3(3):2 < Sym(234)";