Isomorph-normal characteristic subgroup

Definition
A subgroup of a group is termed an isomorph-normal characteristic subgroup if it satisfies the following two conditions:


 * It is characteristic in the whole group.
 * It is isomorph-normal in the whole group: every subgroup of the group that is isomorphic to it is normal in the whole group.

Stronger properties

 * Weaker than::Isomorph-free subgroup
 * Weaker than::Isomorph-characteristic subgroup

Weaker properties

 * Stronger than::Isomorph-normal subgroup
 * Stronger than::Sub-(isomorph-normal characteristic) subgroup
 * Stronger than::WNSCDIN-relatively weakly closed subgroup:
 * Stronger than::Characteristic subgroup
 * Stronger than::Normal subgroup