  The construction approach proposed in the previous paper Ref. 1 allows us
there and in the present paper to construct at generic deformation parameter
$q$ all finite--dimensional representations of the quantum Lie superalgebra
$U_{q}[gl(2/2)]$. The finite--dimensional $U_{q}[gl(2/2)]$-modules $W^{q}$
constructed in Ref. 1 are either irreducible or indecomposible. If a module
$W^{q}$ is indecomposible, i.e. when the condition (4.41) in Ref. 1 does not
hold, there exists an invariant maximal submodule of $W^{q}$, to say
$I_{k}^{q}$, such that the factor-representation in the factor-module
$W^{q}/I_{k}^{q}$ is irreducible and called nontypical. Here, in this paper,
indecomposible representations and nontypical finite--dimensional
representations of the quantum Lie superalgebra $U_{q}[gl(2/2)]$ are considered
and classified as their module structures are analized and the matrix elements
of all nontypical representations are written down explicitly.
