Finite-dimensional Hopf algebras over the Hopf algebra H_d:−1,1 of Kashina

Let H be the 16-dimensional non-trivial semisimple Hopf algebra H_d:−1,1 in the classification work of Kashina [28]. Actually, H≅H₈⊗kC₂, where H₈ is the Kac-Paljutkin algebra [26]. Let V=⨁_i∈IV_i, where V_i is a simple object in YDHH. All finite-dimensional Nichols algebras satisfying B(V)≅⨂_i∈IB(V_i) are determined completely. Under this assumption, we consider and classify all those Hopf algebras of finite-dimensional growth from the semisimple Hopf algebra H_d:−1,1 via the relevant Nichols algebras B(V).