  In this paper we consider the finite groups that act fiber- and
orientation-preservingly on closed, compact, and orientable Seifert manifolds
that fiber over an orientable base space. We establish a method of constructing
such group actions and then show that if an action satisfies a condition on the
obstruction class of the Seifert manifold, it can be derived from the given
construction. The obstruction condition is refined and the general structure of
the finite groups that act via the construction is provided.
