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Which of the following statements are true about semidirect products?

Select ALL that apply.

The semidirect product of two abelian groups is an abelian group.

If the semidirect product of two groups is abelian, both groups must be abelian.

Every group is a semidirect product of some of its nontrivial subgroups.

The semidirect product of two cyclic groups needs not be a cyclic group.

If the semidirect product of two groups is cyclic, both groups must be cyclic.