capital offense vs crime

capital offense and crime both are nouns.

Word	Noun	Adjective	Verb	Adverb
capital offense	Yes	No	No	No
crime	Yes	No	No	No

As nouns, crime is a hypernym of capital offense; that is, crime is a word with a broader meaning than capital offense:

capital offense: a crime so serious that capital punishment is considered appropriate
crime: (criminal law) an act punishable by law; usually considered an evil act

Other hypernyms of capital offense include criminal offence, criminal offense, law-breaking.

capital offense (noun)	crime (noun)
a crime so serious that capital punishment is considered appropriate	(criminal law) an act punishable by law; usually considered an evil act
	an evil act not necessarily punishable by law