detestation vs abomination

detestation and abomination both are nouns.

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

As nouns, detestation and abomination are synonyms defined as:

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

detestation (noun)	abomination (noun)
hate coupled with disgust	an action that is vicious or vile; an action that arouses disgust or abhorrence
	hate coupled with disgust
	a person who is loathsome or disgusting