  By decomposing the regular representation of a particular (Heisenberg-like)
Lie supergroup into irreducible subspaces, we show that not all of them can be
obtained by applying geometric quantization to coadjoint orbits with an even
symplectic form. However, all of them can be obtained by introducing coadjoint
orbits through non-homogeneous points and with non-homogeneous symplectic forms
as described in \cite{Tu1}. In this approach it turns out that the choice of a
polarization can change (dramatically) the representation associated to an
orbit. On the other hand, the procedure is not completely mechanical (meaning
that some parts have to be done "by hand"), hence work remains to be done in
order to understand all details of what is happening.
