odium vs ignominy

odium and ignominy both are nouns.

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

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

Other hypernyms of odium include disgrace, shame.

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