# Finite complete group

This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)
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## Definition

A finite complete group is a finite group that is also a complete group: it satisfies the following two conditions:

In other words, a finite complete group is a finite group $G$ such that the natural map $G \to \operatorname{Aut}(G)$ is an isomorphism.