Solvable characteristic subgroup

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

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

Stronger properties

 * Weaker than::Abelian characteristic subgroup
 * Weaker than::Nilpotent characteristic subgroup

Weaker properties

 * Stronger than::Solvable normal subgroup