Is there a classification of indecomposable non-semisimple finite dimensional Hopf algebras with exactly two 1 dimensional modules? If not, is there one when all simple modules are 1 dimensional and there are only two simple modules? If there is no full answer, I'm also interested in some examples of such Hopf algebras. By the way: is there a formula for the number of simple modules involving the structure of the group of grouplike elements like in the case of a group algebra? Thank you for answers. edit: Im also interested for non-semisimple indecomposable k-algebras whose basic algebra is a hopf algebra(in general or more special with only 2 simple modules).maybe there is some kind of criteria?