mayhem vs criminal offence

mayhem and criminal offence both are nouns.

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

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

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

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

mayhem (noun)	criminal offence (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