branch vs subfigure

branch and subfigure both are nouns.

Word	Noun	Adjective	Verb	Adverb
branch	Yes	No	Yes	No
subfigure	Yes	No	No	No

As nouns, subfigure is a hypernym of branch; that is, subfigure is a word with a broader meaning than branch:

branch (noun)	subfigure (noun)
any projection that is thought to resemble a human arm	a figure that is a part of another figure
a division of some larger or more complex organization
a stream or river connected to a larger one
a natural consequence of development
a division of a stem, or secondary stem arising from the main stem of a plant
a part of a forked or branching shape

branch (verb)	subfigure (verb)
divide into two or more branches so as to form a fork
grow and send out branches or branch-like structures