Group in which every class-preserving automorphism is inner

Definition
A group in which every class-preserving automorphism is inner is a group with the property that any defining ingredient::class-preserving automorphism of the group (i.e., any automorphism that sends every element to within its conjugacy class) is an defining ingredient::inner automorphism.

Note that, in a general group, a class-preserving automorphism need not be inner, although every inner automorphism is class-preserving.

Stronger properties

 * Weaker than::Abelian group
 * Weaker than::Complete group
 * Weaker than::Group in which every automorphism is inner
 * Weaker than::Group in which every IA-automorphism is inner