Finite-extensible automorphism

Symbol-free definition
An automorphism of a finite group is termed finite-extensible if it extends to an automorphism for every embedding of the finite group inside a finite group.

Stronger properties

 * Extensible automorphism (of a finite group)
 * Inner automorphism (of a finite group)

Weaker properties

 * Stronger than::Class-preserving automorphism (of a finite group)
 * Stronger than::Subgroup-conjugating automorphism (of a finite group)