Characteristic subgroup of finite group

This article describes a property that arises as the conjunction of a subgroup property: characteristic subgroup with a group property imposed on the ambient group: finite group
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

Definition

A subgroup of a group is termed a characteristic subgroup of finite group if the whole group is a finite group and the subgroup is a characteristic subgroup of it.

Relation with other properties

Weaker properties

• Normal subgroup of finite group
• Finite characteristic subgroup
• Finite normal subgroup