odium vs shame

odium and shame both are nouns.

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

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

Other hypernyms of odium include disgrace, ignominy.

odium (noun)	shame (noun)
hate coupled with disgust	an unfortunate development
state of disgrace resulting from detestable behavior	a painful emotion resulting from an awareness of inadequacy or guilt
	a state of dishonor

odium (verb)	shame (verb)
	surpass or beat by a wide margin
	cause to be ashamed
	bring shame or dishonor upon
	compel through a sense of shame