odium vs abomination

odium and abomination both are nouns.

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

As nouns, odium and abomination are synonyms defined as:

Other synonyms of odium include abhorrence, detestation, execration, loathing.

odium (noun)	abomination (noun)
hate coupled with disgust	an action that is vicious or vile; an action that arouses disgust or abhorrence
state of disgrace resulting from detestable behavior	hate coupled with disgust
	a person who is loathsome or disgusting