  Let $K/F$ be a finite Galois extension of fields with $Gal(K/F)=\Gamma$. In
an earlier work of Timothy Kohl, the author enumerated dihedral Hopf-Galois
structures acting on dihedral extensions. Dihedral group is one particular
example of semidirect product of $\mathbb{Z}_n$ and $\mathbb{Z}_2$. In this
article we count the number of Hopf-Galois structures with Galois group
$\Gamma$ of type $G$, where $\Gamma,G$ are groups of the form
$\mathbb{Z}_N\rtimes_\phi\mathbb{Z}_2$ when $N$ is odd with radical of $N$
being a Burnside number. As an application we also find the corresponding
number of skew braces.
