Characteristic series

Definition
A subgroup series of a group is termed a characteristic series if all members of the series are characteristic subgroups of the whole group.

Stronger properties

 * Weaker than::Strictly characteristic series
 * Weaker than::Fully characteristic series
 * Weaker than::Strongly characteristic series
 * Weaker than::Quotient-strongly characteristic series

Weaker properties

 * Normal series
 * Subnormal series