Orbits and invariants of cubic matrices of order three

Let V{sub i}, i=1, 2, 3, be a three-dimensional complex vector space. For the natural linear representation of the group SL(V{sub 1})xSL(V{sub 2})xSL(V{sub 3}) in the space V{sub 1}xV{sub 2}xV{sub 3} the orbits are classified and generators of the algebra of invariants are described.