Left-transitively WNSCDIN-subgroup

Definition
A subgroup $$H$$ of a group $$K$$ is termed left-transitively WNSCDIN in $$K$$ if, whenever $$K$$ is a defining ingredient::WNSCDIN-subgroup of a group $$G$$, $$H$$ is also WNSCDIN in $$G$$.

Stronger properties

 * Weaker than::Characteristic central factor: