detestation vs odium

detestation and odium both are nouns.

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

As nouns, detestation and odium are synonyms defined as:

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

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