Maximal subgroup of finite nilpotent group

Definition
A maximal subgroup in finite nilpotent group is the following equivalent things:


 * A defining ingredient::maximal subgroup of a defining ingredient::finite nilpotent group.
 * A defining ingredient::maximal normal subgroup of a defining ingredient::finite nilpotent group.
 * A defining ingredient::subgroup of prime index of a finite nilpotent group.

Stronger properties

 * Weaker than::Characteristic maximal subgroup of finite nilpotent group
 * Weaker than::Maximal subgroup of group of prime power order

Weaker properties

 * Stronger than::Maximal subgroup of nilpotent group
 * Stronger than::Maximal normal subgroup
 * Stronger than::Normal subgroup of prime index
 * Stronger than::Maximal subgroup
 * Stronger than::Normal subgroup
 * Stronger than::Order-normal subgroup
 * Stronger than::Isomorph-normal subgroup