mayhem vs criminal offense

mayhem and criminal offense both are nouns.

Word	Noun	Adjective	Verb	Adverb
mayhem	Yes	No	No	No
criminal offense	Yes	No	No	No

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

mayhem: the willful and unlawful crippling or mutilation of another person
criminal offense: (criminal law) an act punishable by law; usually considered an evil act

Other hypernyms of mayhem include crime, criminal offence, law-breaking.

mayhem (noun)	criminal offense (noun)
the willful and unlawful crippling or mutilation of another person	(criminal law) an act punishable by law; usually considered an evil act
violent and needless disturbance