odium vs disgrace

odium and disgrace both are nouns.

Word	Noun	Adjective	Verb	Adverb
odium	Yes	No	No	No
disgrace	Yes	No	Yes	No

As nouns, disgrace is a hypernym of odium; that is, disgrace is a word with a broader meaning than odium:

Other hypernyms of odium include ignominy, shame.

odium (noun)	disgrace (noun)
hate coupled with disgust	a state of dishonor
state of disgrace resulting from detestable behavior

odium (verb)	disgrace (verb)
	damage the reputation of
	reduce in worth or character, usually verbally
	bring shame or dishonor upon