Composition factor-permutable group

Definition
A group is termed composition factor-permutable if it is of finite composition length and, for every possible ordering of its composition factors, there exists a defining ingredient::composition series achieving that ordering of the composition factors.

Stronger properties

 * Weaker than::Simple group
 * Weaker than::Finite nilpotent group

Opposite properties

 * Composition series-unique group
 * Composition factor-unique group