Suppose a group $G$ is the semidirect product of normal subgroup $N$ and subgroup $H$, i.e., $G=N\rtimes_\varphi H$. Find all semidirect products (up to isomorphism) of $N=\mathbb Z_{11}, H=\mathbb Z_5.$
Can someone help me solve this question? I have spent a long time in this question, but still not sure how to analyze this question.