detestation vs hate

detestation and hate both are nouns.

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

As nouns, hate is a hypernym of detestation; that is, hate is a word with a broader meaning than detestation:

detestation: hate coupled with disgust
hate: the emotion of intense dislike; a feeling of dislike so strong that it demands action

Other hypernyms of detestation include disgust, hatred.

detestation (noun)	hate (noun)
hate coupled with disgust	the emotion of intense dislike; a feeling of dislike so strong that it demands action

detestation (verb)	hate (verb)
	to have and express negative sentiments about a person
	dislike intensely; feel antipathy or aversion towards