/*
www-ATLAS of Group Representations.
L3(2) represented as permutations on 168 points.
*/

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