# Normal intermediately AEP-subgroup

From Groupprops

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This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: normal subgroup and intermediately AEP-subgroup

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## Definition

A subgroup of a group is termed a **normal intermediately AEP-subgroup** if it is both a normal subgroup and an intermediately AEP-subgroup: any automorphism of the subgroup can be extended to an automorphism for every intermediate subgroup containing it.