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We develop further the techniques presented in [M. Mombelli. On the tensorproduct of bimodule categories over Hopf algebras. Preprint arXiv:1111.1610 ]to study bimodule categories over the representation categories of arbitraryfinite-dimensional Hopf algebras. We compute the Brauer-Picard group ofequivalence classes of exact invertible bimodule categories over therepresentation categories of a certain large family of pointed non-semisimpleHopf algebras, the so called supergroup algebras. To obtain this result wefirst give a classification of equivalence classes of exact indecomposablebimodule categories over such Hopf algebras.

The Brauer-Picard group of the representation category of finite supergroup algebras