dissent vs disagreement

dissent and disagreement both are nouns.

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

As nouns, disagreement is a hypernym of dissent; that is, disagreement is a word with a broader meaning than dissent:

dissent (noun)	disagreement (noun)
the act of protesting; a public (often organized) manifestation of dissent	a difference between conflicting facts or claims or opinions
(law) the difference of one judge's opinion from that of the majority	the speech act of disagreeing or arguing or disputing
a difference of opinion	a conflict of people's opinions or actions or characters

dissent (verb)	disagreement (verb)
withhold assent
be of different opinions
express opposition through action or words