Right-transitively conjugate-permutable subgroup

Symbol-free definition
A subgroup of a group is termed right-transitively conjugate-permutable if every defining ingredient::conjugate-permutable subgroup of the subgroup is conjugate-permutable in the whole group.

Stronger properties

 * Weaker than::Direct factor
 * Weaker than::Central factor
 * Weaker than::SCAB-subgroup
 * Weaker than::Base of a wreath product

Weaker properties

 * Stronger than::Conjugate-permutable subgroup