Normal subgroup of complemented normal subgroup

Definition with symbols
A subgroup $$H$$ of a group $$G$$ is termed a normal subgroup of complemented normal subgroup if there exists a subgroup $$K$$ of $$G$$ containing $$H$$ such that $$H$$ is a normal subgroup of $$K$$ and $$K$$ is a complemented normal subgroup of $$G$$.

Stronger properties

 * Stronger than::Base of a wreath product
 * Stronger than::Base of a wreath product with diagonal action
 * Weaker than::Direct factor of complemented normal subgroup
 * Weaker than::Complemented normal subgroup of complemented normal subgroup

Weaker properties

 * Stronger than::2-subnormal subgroup