/*
www-ATLAS of Group Representations.
L2(7):2 represented as permutations on 168 points.
*/

G<x,y>:=PermutationGroup<168|\[
1,4,5,2,3,10,11,12,13,6,7,8,9,22,23,24,25,26,27,28,29,14,15,16,17,
18,19,20,21,45,46,47,48,49,35,50,51,52,53,40,54,55,56,57,30,31,32,33,34,36,
37,38,39,41,42,43,44,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,118,114,119,120,121,122,117,
123,124,104,103,125,126,127,128,129,111,110,130,131,95,132,133,100,94,96,97,98,99,101,102,105,
106,107,108,109,112,113,115,116,145,148,149,150,142,139,151,152,138,153,154,134,155,147,135,136,137,
140,141,143,144,146,160,161,162,163,156,157,158,159,166,167,164,165,168]
,\[
2,3,1,6,8,7,4,9,5,14,16,18,20,15,10,17,11,19,12,21,13,30,32,34,36,
38,40,42,44,31,22,33,23,35,24,37,25,39,26,41,27,43,28,45,29,58,60,61,63,65,
67,51,68,70,72,47,74,59,46,56,62,48,64,49,66,50,52,69,53,71,54,73,55,75,57,
94,95,97,99,101,80,102,104,76,106,108,109,111,113,89,114,116,86,84,96,77,98,78,100,79,
81,103,82,105,83,107,85,93,110,87,112,88,90,115,91,117,92,134,136,119,137,132,139,141,129,
143,124,144,142,126,146,138,121,135,118,120,133,122,140,123,127,125,130,145,128,147,131,156,155,158,
150,159,148,152,157,153,149,151,154,164,160,165,162,161,163,168,166,167]
>;
print "Group G is L2(7):2 < Sym(168)";