Inner-in-automorphism-Frattini group

Definition
A group is termed an inner-in-automorphism-Frattini group if its inner automorphism group is a Frattini-embedded normal subgroup of its automorphism group.

Stronger properties

 * Finite-Frattini-realizable group
 * Frattini-embedded normal-realizable group:

Weaker properties

 * ACIC-group: