  A classical theorem states that the group of automorphisms of a manifold $M$
preserving a $G$-structure of finite type is a Lie group. We generalize this
statement to the category of $cs$ manifolds and give some examples, some of
which being generalizations of classical notions, others being particular to
the super case. Notably, we have to introduce a new notion of supermanifolds
which we call mixed supermanifolds.
