Finite-potentially verbal subgroup

Definition with symbols
A subgroup $$H$$ of a finite group $$K$$ is termed a finite-potentially verbal subgroup if there exists a finite group $$G$$ containing $$K$$ such that $$H$$ is a defining ingredient::verbal subgroup of $$K$$.

Stronger properties

 * Weaker than::Central subgroup of finite group:
 * Weaker than::Cyclic normal subgroup of finite group (cyclic normal subgroup of finite group):
 * Weaker than::Finite-pi-potentially verbal subgroup