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In the mathematical fields of category theory and abstract algebra, a subquotient is a quotient object of a subobject. Subquotients are particularly important in abelian categories, and in group theory, where they are also known as sections, though this conflicts with a different meaning in category theory. So in the algebraic structure of groups, is a subquotient of if there exists a subgroup of and a normal subgroup of so that is isomorphic to
In the literature about sporadic groups wordings like „ is involved in “ can be found with the apparent meaning of „ is a subquotient of “. As in the context of subgroups, in the context of subquotients the term trivial may be used for the two subquotients and which are present in every group
A quotient of a subrepresentation of a representation (of, say, a group) might be called a subquotient representation; e. g., Harish Chandra's subquotient theorem.

There are subquotients of groups which are neither subgroup nor quotient of it. E. g. according to article Sporadic group, Fi22 has a double cover which is a subgroup of Fi23, so it is a subquotient of Fi23 without being a subgroup or quotient of it.

In constructive set theory, where the law of excluded middle does not necessarily hold, one can consider the relation subquotient of as replacing the usual order relation(s) on cardinals. When one has the law of the excluded middle, then a subquotient of is either the empty set or there is an onto function This order relation is traditionally denoted
If additionally the axiom of choice holds, then has a one to one function to and this order relation is the usual on corresponding cardinals.