/* www-ATLAS of Group Representations. 2.A14 represented as 32 x 32 matrices over GF(49). */ F:=GF(49); x:=CambridgeMatrix(3,F,32,\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,6,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,6,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0, 13,26,12,43,39,38,29,4,0,29,39,25,3,0,23,34,0,11,22,3,39,0,11,30,18,0,6,0,0,0,35,18, 18,17,46,13,2,20,35,42,35,0,43,23,42,0,0,38,23,41,44,6,47,0,30,44,6,0,0,0,6,47,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0, 1,4,14,13,5,29,12,13,12,42,4,16,47,4,16,41,16,36,44,6,47,16,0,0,0,44,6,47,6,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,6,0,0,0,0,0, 25,18,22,4,27,10,7,16,0,18,27,1,30,27,10,38,0,21,7,15,11,0,0,0,20,7,25,11,0,0,0,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0, 26,19,9,6,42,11,20,42,0,15,28,25,7,0,5,10,0,9,38,24,23,0,0,45,25,0,46,0,0,11,32,10, 44,48,47,40,11,15,43,1,43,41,39,5,27,0,0,19,5,41,37,46,14,0,19,0,0,0,0,0,46,13,44,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,6]); y:=CambridgeMatrix(3,F,32,\[ 31,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0, 17,25,6,5,23,13,33,22,33,20,12,1,32,12,1,0,1,0,0,0,48,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0, 45,33,6,26,15,18,10,32,35,11,9,33,13,47,16,38,7,41,1,12,21,16,10,30,8,20,0,2,19,0,35,46, 1,15,36,38,11,25,31,28,0,23,37,10,16,23,0,40,0,6,34,20,7,0,6,0,22,6,0,0,0,0,43,45, 26,1,28,46,25,39,5,7,5,28,5,48,0,5,48,32,48,0,0,0,0,48,0,0,0,0,0,48,0,0,0,0, 32,4,14,46,31,46,7,48,7,9,0,0,0,44,6,0,0,32,0,0,0,6,0,0,0,0,0,0,0,48,0,0, 4,34,41,16,27,17,0,45,23,45,17,0,0,8,0,0,6,0,32,0,0,6,0,0,0,0,0,0,0,0,48,0, 48,12,23,10,2,21,27,32,27,35,41,13,30,0,0,20,13,6,40,30,6,0,20,0,0,0,0,6,30,6,0,0, 18,0,30,15,23,11,16,7,0,16,35,13,45,44,13,20,0,6,6,30,6,0,0,20,0,9,30,6,0,0,6,0, 37,2,23,16,23,28,2,7,43,45,43,41,17,8,4,44,28,1,41,30,44,4,23,41,24,4,0,23,17,0,7,33, 26,20,9,11,8,40,44,40,0,5,17,15,6,5,0,30,0,46,20,31,39,0,0,5,12,46,0,0,0,6,38,29, 40,23,42,30,32,3,37,47,28,29,31,13,25,29,47,30,10,47,29,40,30,47,46,9,21,23,0,11,37,24,12,38, 46,44,5,25,24,15,8,4,21,20,21,0,16,32,1,13,29,7,39,35,30,11,6,0,48,43,40,25,44,31,14,10, 7,2,8,28,16,2,5,0,4,36,9,21,16,0,19,31,3,1,30,25,30,40,16,28,43,29,11,5,4,0,9,47]); G:=MatrixGroup<32,F|x,y>; print "Group G is 2.A14 < GL(32,GF(49))";