Finite-automorph-join-closed subnormal subgroup

Definition
A subgroup of a group is termed finite-automorph-join-closed subnormal if a join of finitely many of its automorphic subgroups (i.e., subgroups obtained as its images under automorphisms) is a subnormal subgroup.

Stronger properties

 * Weaker than::Join-transitively subnormal subgroup

Weaker properties

 * Stronger than::Finite-conjugate-join-closed subnormal subgroup