Group of Frattini class two

For a group of prime power order
A group of prime power order is termed a group of Frattini class two if it is a defining ingredient::Frattini-in-center group and the Frattini subgroup is elementary abelian, i.e., it is a defining ingredient::group of Frattini length two.

Stronger properties

 * Weaker than::Special group
 * Weaker than::Extraspecial group

Weaker properties

 * Stronger than::Frattini-in-center group
 * Stronger than::Group of nilpotency class two
 * Stronger than::Group of Frattini length two