/* www-ATLAS of Group Representations. U3(3) represented as 7 x 7 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,7,[ "0100000", "1000000", "0001000", "0010000", "0000001", "5566060", "0000100"]); y:=CambridgeMatrix(1,F,7,[ "4000000", "0010000", "0000100", "0000010", "3115060", "5561020", "1500313"]); G:=MatrixGroup<7,F|x,y>; print "Group G is U3(3) < GL(7,GF(7))";