Subnormal factor

Definition with symbols
Let $$G$$ be a group. A subnormal factor of $$G$$ is defined as a group of the form $$H/N$$ where $$H$$ is a subnormal subgroup of $$G$$ and $$N$$ is a normal subgroup of $$H$$.

A subnormal factor is a particular case of a subquotient. For subquotient, we do not require $$H$$ to be subnormal.