Central subgroup of finite group

Definition
A subgroup of a group is termed a central subgroup of finite group if the whole group is a finite group and the subgroup is a central subgroup.

Weaker properties

 * Stronger than::Finite-potentially verbal subgroup
 * Stronger than::Potentially verbal subgroup
 * Stronger than::Potentially fully characteristic subgroup
 * Stronger than::Finite-potentially characteristic subgroup
 * Stronger than::Potentially characteristic subgroup
 * Stronger than::Finite central subgroup
 * Stronger than::Finite normal subgroup
 * Stronger than::Normal subgroup of finite group
 * Stronger than::Central factor of finite group