This talk is based on joint work with K.Coulembier, P.Etingof, D.Tubbenhauer. Let G be any group and let V be a finite dimensional representation of G over some field. We consider tensor powers of V and their decompositions into indecomposable summands. The main question which will be addressed in this talk: what can we say about count (e.g. total number) of these indecomposable summands? It turns out that there are reasonable partial answers to this question asymptotically, i.e. when the tensor power is large.