  Let $H$ be the 16-dimensional nontrivial (namely, noncommutative and
noncocommutative) semisimple Hopf algebra $H_{b:1}$ appeared in Kashina's work
\cite{K00}. We obtain all simple Yetter-Drinfeld modules over $H$ and then
determine all finite-dimensional Nichols algebras satisfying
$\mathcal{B}(V)\cong \bigotimes_{i\in I}\mathcal{B}(V_i)$, where
$V=\bigoplus_{i\in I}V_i$, each $V_i$ is a simple object in $_H^H\mathcal{YD}$.
Finally, we describe all liftings of those $\mathcal{B}(V)$ over $H$.
