infringe vs breach

infringe is not a noun while breach is a noun.

Word	Noun	Adjective	Verb	Adverb
infringe	No	No	Yes	No
breach	Yes	No	Yes	No

As verbs, breach is a hypernym of infringe; that is, breach is a word with a broader meaning than infringe:

Other hypernyms of infringe include break, go against, infract, offend, transgress, violate.

infringe (noun)	breach (noun)
	a failure to perform some promised act or obligation
	a personal or social separation (as between opposing factions)
	an opening (especially a gap in a dike or fortification)

infringe (verb)	breach (verb)
advance beyond the usual limit	make an opening or gap in
go against, as of rules and laws	act in disregard of laws, rules, contracts, or promises