/*
www-ATLAS of Group Representations.
L2(7):2 represented as permutations on 112 points.
*/

G<x,y>:=PermutationGroup<112|\[
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,
18,19,20,21,22,41,42,43,44,45,46,47,48,49,50,31,32,33,34,35,36,37,38,39,40,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,89,90,91,92,93,94,95,96,97,98,79,80,81,82,83,84,85,86,87,88,103,104,
105,106,99,100,101,102,109,110,107,108,112,111]
,\[
1,3,4,2,7,9,8,5,10,6,15,17,19,21,16,11,18,12,20,13,22,14,30,32,34,
35,37,25,39,31,23,33,24,28,36,26,38,27,40,29,51,53,54,56,58,60,46,61,63,42,
52,41,50,55,43,57,44,59,45,47,62,48,64,49,79,75,81,83,84,69,85,76,65,87,80,
86,71,68,73,66,82,67,78,70,77,72,88,74,92,100,90,99,93,97,102,96,101,95,89,91,
94,98,107,106,103,108,105,104,111,109,110,112]
>;
print "Group G is L2(7):2 < Sym(112)";