Centralizer-large subgroup

Statement
Suppose $$P$$ is a group of prime power order. A subgroup $$A$$ of $$P$$ is termed a centralizer-large subgroup if $$|A||C_P(A)| \ge |B||C_P(B)|$$ for all subgroups $$P$$ of $$B$$.

Stronger properties

 * Weaker than::Centrally large subgroup

Weaker properties

 * Stronger than::c-closed subgroup