  Ginzburg-Landau effective potential is studied for the order parameter that
transforms in the $(3,3)$ representation under the color SU(3) group. All the
SU(3) terms to the fourth-order of the order parameter are classified and the
effective potential is constructed in its most general form. The conditions
which stabilize the condensed phases are also obtained. As simple applications,
the classification of the condensed phase is discussed in some special cases
and the Higgs phenomenon associated with symmetry breaking is studied by
introducing a coupling to the gauge boson.
