 Subquotient

The term **subquotient** can be context-dependent, as it may not have a universally accepted definition across all fields. However, it is often used in mathematical contexts, particularly in group theory or algebra. In group theory, a subquotient typically refers to a quotient group of a subgroup of a given group.

Quotient of a subgroup H of G by a normal subgroup of the subgroup H.

That normal subgroup does not have have to be a normal subgroup of G.

As an overkill example, the happy family are subquotients of the monster group, but the monster group is simple.