detestable vs offensive

detestable is not a noun while offensive is a noun.

Word	Noun	Adjective	Verb	Adverb
detestable	No	Yes	No	No
offensive	Yes	Yes	No	No

detestable (noun)	offensive (noun)
	the action of attacking an enemy

detestable (adjective)	offensive (adjective)
unequivocally detestable	unpleasant or disgusting especially to the senses
offensive to the mind	causing anger or annoyance
	for the purpose of attack rather than defense
	morally offensive
	violating or tending to violate or offend against
	causing or able to cause nausea