/* www-ATLAS of Group Representations. S5 represented as 3 x 3 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,3,[ "400", "410", "401"]); y:=CambridgeMatrix(1,F,3,[ "010", "001", "444"]); G:=MatrixGroup<3,F|x,y>; print "Group G is S5 < GL(3,GF(5))";