/* www-ATLAS of Group Representations. SL2(7) represented as permutations on 112 points. */ G:=PermutationGroup<112|\[ 8,9,10,11,12,13,14,22,23,24,25,26,27,28,1,2,3,4,5,6,7,15,16,17,18, 19,20,21,57,58,59,60,61,62,63,71,72,73,74,75,76,77,64,65,66,67,68,69,70,78, 79,80,81,82,83,84,43,44,45,46,47,48,49,29,30,31,32,33,34,35,50,51,52,53,54, 55,56,36,37,38,39,40,41,42,107,110,111,108,112,106,109,90,85,88,91,86,87,89,93,96, 97,94,98,92,95,104,99,102,105,100,101,103] ,\[ 1,4,6,5,2,7,3,29,30,31,32,33,34,35,43,44,45,46,47,48,49,22,25,27,26, 23,28,24,36,37,38,39,40,41,42,8,9,10,11,12,13,14,50,51,52,53,54,55,56,15, 16,17,18,19,20,21,85,86,87,88,89,90,91,99,100,101,102,103,104,105,73,71,72,76,75, 77,74,80,78,79,83,82,84,81,92,93,94,95,96,97,98,57,58,59,60,61,62,63,106,107, 108,109,110,111,112,64,65,66,67,68,69,70] >; print "Group G is SL2(7) < Sym(112)";