Order-conjugate subgroup

Definition
A finite subgroup of a group is termed order-conjugate if it is conjugate, in the whole group, to every subgroup of the group of the same order.

Stronger properties

 * Weaker than::Order-dominating subgroup
 * Weaker than::Order-unique subgroup
 * Weaker than::Sylow subgroup

Weaker properties

 * Stronger than::Order-isomorphic subgroup
 * Stronger than::Order-automorphic subgroup
 * Stronger than::Isomorph-automorphic subgroup
 * Stronger than::Isomorph-conjugate subgroup
 * Stronger than::Automorph-conjugate subgroup