  We develop further the techniques presented in [M. Mombelli. On the tensor
product of bimodule categories over Hopf algebras. Preprint arXiv:1111.1610 ]
to study bimodule categories over the representation categories of arbitrary
finite-dimensional Hopf algebras. We compute the Brauer-Picard group of
equivalence classes of exact invertible bimodule categories over the
representation categories of a certain large family of pointed non-semisimple
Hopf algebras, the so called supergroup algebras. To obtain this result we
first give a classification of equivalence classes of exact indecomposable
bimodule categories over such Hopf algebras.
