/* www-ATLAS of Group Representations. L2(8) represented as 9 x 9 matrices over GF(27). */ F:=GF(27); x:=CambridgeMatrix(3,F,9,\[ 0,1,0,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0, 0,0,1,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0, 0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,0,0,1, 14,25,5,7,19,11,18,1,9, 0,0,0,0,0,0,1,0,0]); y:=CambridgeMatrix(3,F,9,\[ 0,1,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0, 1,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,1,0, 0,0,0,1,0,0,0,0,0, 23,10,0,11,4,9,18,7,15, 15,19,15,0,0,2,13,5,5]); G:=MatrixGroup<9,F|x,y>; print "Group G is L2(8) < GL(9,GF(27))";