Nilpotent characteristic subgroup

Definition
A subgroup of a group is termed a nilpotent characteristic subgroup if it is characteristic as a subgroup and nilpotent as a group.

For a finite group, this is equivalent to being a characteristic subgroup contained inside the Fitting subgroup.

Stronger properties

 * Weaker than::Abelian characteristic subgroup

Weaker properties

 * Stronger than::Nilpotent normal subgroup
 * Stronger than::Solvable characteristic subgroup
 * Stronger than::Solvable normal subgroup