  In this article we study support $\tau$-tilting modules, semibricks and more
over blocks of group algebras. Let $k$ be an algebraically closed field of
characteristic $p>0$, $\tilde{G}$ a finite group and $G$ a normal subgroup of
$\tilde{G}$. Moreover, let $\tilde{B}$ be a block of $k\tilde{G}$ and $B$ a
block of $kG$ covered by $\tilde{B}$. We show that, under certain conditions
for the factor group $\tilde{G}/G$ and $B$, induced modules and extending
modules of support $\tau$-tilting modules and semibricks over $B$ are also the
ones over $\tilde{B}$, respectively.
