Properties like the excitation energy with respect to the ground state, mom
ents of inertia, B(E2) transition probabilities, and stability against quad
rupole fluctuations at low spin of the predicted superdeformed band of S-32
are studied with the Gogny force D1S using the angular momentum projected
generator coordinate method for the axially symmetric quadrupole moment. Th
e self-consistent cranking method is also used to describe the superdeforme
d rotational band. In addition, properties of some collective normal deform
ed states are discussed.