# If teo subgroups are cyclic, the groups is cyclic? [closed]

i've got a group $$G$$, and its subgroup $$L$$, L is normal in G. If L and G/L are cyclic, is G cyclic?

I know that in the other direction is true but what about this? i have no idea

• Let $G$ be the non-cyclic group of order $4$ and let $L$ be a subgroup of order $2$. – lulu May 22 at 14:26
• i need the demostration – User160 May 22 at 14:27
• Of what? A single counterexample suffices to disprove a proposed theorem. – lulu May 22 at 14:28