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

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