# Finite characteristic subgroup

From Groupprops

This article describes a property that arises as the conjunction of a subgroup property: characteristic subgroup with a group property (itself viewed as a subgroup property): finite group

View a complete list of such conjunctions

## Contents

## Definition

A subgroup of a group is termed a **finite characteristic subgroup** if it is characteristic as a subgroup and finite as a group.

## Examples

VIEW: subgroups satisfying this property | subgroups dissatisfying property characteristic subgroup | subgroups dissatisfying property finite groupVIEW: Related subgroup property satisfactions | Related subgroup property dissatisfactions