  Following the method already developed for studying the actions of GL_q(2,C)
on the Clifford algebra C(1,3) and its quantum invariants (Commun. in Algebra
27, 1843-1878(1999)), we study the action on C(1,3) of the quantum group GL_2
constructed by Dipper and Donkin. We are able of proving that there exists only
two non-equivalent cases of actions with nontrivial "perturbation". The space
of invariants are trivial in both cases. We also prove that each irreducible
finite dimensional algebra representation of the quantum group GL_2, q^m\neq 1,
is one dimensional. By studying the cases with zero "perturbation" we find that
the cases with nonzero "perturbation" are the only ones with maximal possible
dimension for the operator algebra \Re.
