I was asked the following: Let $D\_{16}$ be the dihedral group of order $16$. What is $D\_{16} / Z(D\_{16})$?

I know that the center of $D\_{16}$ har order $2$. So therefore, the quotient has order $16/2 = 8$. I know that there are $5$ groups of order $8$, but I am not sure which of these $D\_{16} / Z(D\_{16})$ is isomorphic to.

I am pretty sure that it is not $\mathbb{Z}\_{8}$ since that would imply that $D\_{16}$ is abelian (which it is not). So what is it?

EDIT: I see [Find $G/Z(G)$ given the following information about the group?](https://math.stackexchange.com/questions/3030211/find-g-zg-given-the-following-information-about-the-group) but I am not sure that being generated by two elements mean.