nonconformity vs disagreement

nonconformity and disagreement both are nouns.

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

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

nonconformity (noun)	disagreement (noun)
failure to conform to accepted standards of behavior	a difference between conflicting facts or claims or opinions
unorthodoxy as a consequence of not conforming to expected standards or values	the speech act of disagreeing or arguing or disputing
a lack of orthodoxy in thoughts or beliefs	a conflict of people's opinions or actions or characters
lack of harmony or correspondence