  N=3 super-Schwarzian and N=(3,0) super-Liouville theories are formulated by
the coadjoint orbit method. We study the coadjoint orbit dependence of the
respective theories, represented by a superfield b. We show that it is
renormalized into the N=3 super-Schwarzian derivative when the b field takes an
appropriate configuration at the initial point of the orbit. Then the
renormalized actions of the respective theories are invariant under OSp(2$|$3)
transformations. If the configuration gets further specified, the initial point
of the orbit turns out to be stable under one other kind of OSp(2$|$3)
transformations as well.
