Group of composition length two

Definition
A group of composition length two is a group whose composition length is at most two. In other words, it satisfies one of these three cases:


 * It is a trivial group.
 * It is a simple group.
 * It has a simple normal subgroup such that the quotient is also simple; in other words, it has a simple maximal normal subgroup.

Stronger properties

 * Weaker than::Simple group

Weaker properties

 * Stronger than::Group of finite composition length
 * Stronger than::Group of finite chief length
 * Stronger than::Group whose chief series are composition series