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

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