disagree vs dissent

disagree is not a noun while dissent is a noun.

Word	Noun	Adjective	Verb	Adverb
disagree	No	No	Yes	No
dissent	Yes	No	Yes	No

As verbs, disagree and dissent are synonyms defined as:

Other synonyms of disagree include differ, take issue.

As verbs, dissent is a hyponym of disagree; that is, dissent is a word with a more specific, narrower meaning than disagree:

Other hyponyms of disagree include clash, contradict, contravene, negate.

disagree (noun)	dissent (noun)
	the act of protesting; a public (often organized) manifestation of dissent
	(law) the difference of one judge's opinion from that of the majority
	a difference of opinion

disagree (verb)	dissent (verb)
be of different opinions	withhold assent
be different from one another	be of different opinions
	express opposition through action or words