Consider the permutation group $S_6$ and let $H\subseteq S_6$ be a subgroup of $9$ elements
It is abelian but not cyclic
It is cyclic
It is not abelian
If H is abelian then it is cyclic.
Wel I know a general result that group of order $p^2$ is abelian where $p$ is a prime number, hence $H$ is abelian.but I dont know whether $H$ is cyclic or not, is it?thank you for the help.