Group in which every automorphism is normal-extensible

Symbol-free definition
A group in which every automorphism is normal-extensible is a group with the property that given any automorphism of it, and any embedding of it as a normal subgroup of a bigger group, the automorphism extends to an automorphism of the bigger group.

Stronger properties

 * Weaker than::Complete group
 * Weaker than::Group in which every automorphism is inner
 * Weaker than::Centerless group that is maximal in its automorphism group:
 * Weaker than::Group in which every automorphism is center-fixing and whose inner automorphism group is maximal in its automorphism group: