Finite space of nontrivial elementary Abelian p-subgroups

Definition
Let $$G$$ be a finite group and $$p$$ be a prime number. The finite space of nontrivial elementary Abelian $$p$$-subgroups of $$G$$ is a finite $$T_0$$-topological space whose corresponding poset is the nontrivial elementary Abelian $$p$$-subgroups of $$G$$, ordered by inclusion.