Direct product of finite groups

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition

A group is termed a direct product of finite groups if it is isomorphic to the external direct product of a collection of (possibly infinitely many) finite groups.

Relation with other properties

Stronger properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
Finite group				|FULL LIST, MORE INFO
Direct power of a finite group				|FULL LIST, MORE INFO
Direct product of finite groups with only finitely many isomorphism classes of direct factors	A direct product of finite groups where there are only finitely many isomorphism classes among the finite groups occurring as the factors in the direct product.			|FULL LIST, MORE INFO
Periodic direct product of finite groups	A direct product of finite groups that is also a periodic group			|FULL LIST, MORE INFO

Weaker properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
Residually finite group	A subdirect product of finite groups			|FULL LIST, MORE INFO