  In this paper we construct conformally invariant systems of first order and
second order differential operators associated to a homogeneous line bundle
$\Cal{L}_{s} \to G_0/Q_0$ with $Q_0$ a maximal parabolic subgroup of
quasi-Heisenberg type. This generalizes the results by Barchini, Kable, and
Zierau.To do so we use techniques different from ones used by them.
