If teo subgroups are cyclic, the groups is cyclic?

Question

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?

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

Answer 1

Not necessarily. Think about S3, order 6, non-abelian.