intrude vs breach

intrude is not a noun while breach is a noun.

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

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

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

intrude (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)

intrude (verb)	breach (verb)
thrust oneself in as if by force	make an opening or gap in
enter uninvited	act in disregard of laws, rules, contracts, or promises
search or inquire in a meddlesome way
enter unlawfully on someone's property