Hall retract

Definition
A Hall retract of a finite group is a Hall subgroup that is also a retract: in other words, it possesses a normal complement. Note that the normal complement must also be a Hall subgroup, and in fact, a normal Hall subgroup.

Stronger properties

 * Weaker than::Hall direct factor
 * Weaker than::Sylow retract

Weaker properties

 * Stronger than::Order-conjugate subgroup
 * Stronger than::Order-isomorphic subgroup
 * Stronger than::Order-automorphic subgroup
 * Stronger than::Isomorph-automorphic subgroup
 * Stronger than::Isomorph-conjugate subgroup
 * Stronger than::Automorph-conjugate subgroup
 * Stronger than::Procharacteristic subgroup
 * Stronger than::Pronormal subgroup
 * Stronger than::Intermediately isomorph-conjugate subgroup
 * Stronger than::Intermediately automorph-conjugate subgroup
 * Stronger than::Intermediately normal-to-characteristic subgroup
 * Stronger than::Intermediately subnormal-to-normal subgroup