Smallest possible odd integer that can be the order of a non-Abelian group.
Attempt: A non abelian group means $Z(G) \subset G$ . Hence, it suffices to find the smallest odd integer $n$ such that $Z(G)$ is a proper sub group of $G$.
Unfortunately, I do not have a strategy in mind beyond this. How should I move ahead?
Thank you for your help.