Subgroup and quotient

Let $G$be a group, and $N$a normal subgroup. Which of the following statements is/are always true?

我。If $N$is finite and $G/N$is finite, then $G$is finite.
II.If $N$is finite and cyclic and $G/N$is finite and cyclic, then $G$is finite and cyclic.
III.If $N$is abelian and $G/N$is abelian, then $G$is abelian.

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Notation:

• A finite cyclic group is a group that is isomorphic to ${\mathbb Z}_n,$the integers mod $n,$for some $n。$
• An abelian group is a group whose operation is commutative: $x * y = y * x$for all $x,y \in G.$