ignominy vs odium

ignominy and odium both are nouns.

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

As nouns, odium is a hyponym of ignominy; that is, odium is a word with a more specific, narrower meaning than ignominy:

Other hyponyms of ignominy include humiliation, obloquy, opprobrium, reproach, cringe.

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