Characteristic maximal subgroup of group of prime power order

Definition
A subgroup of a group of prime power order is termed a characteristic maximal subgroup of group of prime power order if it is a characteristic subgroup as well as a maximal subgroup (in particular, a maximal subgroup of group of prime power order).

Stronger properties

 * Weaker than::Isomorph-free maximal subgroup of group of prime power order

Weaker properties

 * Stronger than::Coprime automorphism-invariant maximal subgroup of group of prime power order
 * Stronger than::Isomorph-normal characteristic subgroup
 * Stronger than::Isomorph-normal coprime automorphism-invariant subgroup
 * Stronger than::Fusion system-relatively weakly closed subgroup
 * Stronger than::Sylow-relatively weakly closed subgroup