C-group

Symbol-free definition
A group is said to be a C-group if every subgroup in it is permutably complemented.

Definition with symbols
A group $$G$$ is said to be a C-group if for any subgroup $$H$$ of $$G$$, there is a subgroup $$K$$ of $$G$$ such that $$H \cap K$$ is trivial and $$HK = G$$.

Stronger properties

 * SC-group

Weaker properties

 * K-group