  A possible form of the Lipkin model obeying the su(6)-algebra is presented.
It is a natural generalization from the idea for the su(4)-algebra recently
proposed by the present authors. All the relation appearing in the present form
can be expressed in terms of the spherical tensors in the su(2)-algebras. For
specifying the linearly independent basis completely, twenty parameters are
introduced. It is concluded that, in these parameters, the ten denote the
quantum numbers coming from the eigenvalues of some hermitian operators. The
five in these ten determine the minimum weight state.
