Intersection-transitively automorph-conjugate subgroup

Symbol-free definition
A subgroup of a group is termed intersection-transitively automorph-conjugate if its intersection with any automorph-conjugate subgroup is again automorph-conjugate.

Stronger properties

 * Weaker than::Characteristic subgroup:

Weaker properties

 * Stronger than::Automorph-conjugate subgroup
 * Stronger than::Core-characteristic subgroup
 * Stronger than::Closure-characteristic subgroup