  Let $H$ be the dual of $16$-dimensional nontrivial semisimple Hopf algebra
$H_{b:1}$ in the classification work of Kashina \cite{K00}. We completely
determine all finite-dimensional Nichols algebras satisfying
$\mathcal{B}(N)\cong \bigotimes_{i\in I}\mathcal{B}(N_i)$, where
$N=\bigoplus_{i\in I}N_i$, each $N_i$ is a simple object in $_H^H\mathcal{YD}$.
Under this assumption, we classify all those Hopf algebras of
finite-dimensional growth from the semisimple Hopf algebra $H$ via the relevant
Nichols algebras $\mathcal B(N)$.
