hate vs abominate

hate is a noun but abominate is not a noun.

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

As verbs, abominate is a hyponym of hate; that is, abominate is a word with a more specific, narrower meaning than hate:

Other hyponyms of hate include abhor, execrate, loathe, contemn, despise, disdain, scorn.

hate (noun)	abominate (noun)
the emotion of intense dislike; a feeling of dislike so strong that it demands action

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