cybercrime vs criminal offense

cybercrime and criminal offense both are nouns.

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

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

cybercrime: crime committed using a computer and the internet to steal a person's identity or sell contraband or stalk victims or disrupt operations with malevolent programs
criminal offense: (criminal law) an act punishable by law; usually considered an evil act

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

cybercrime (noun)	criminal offense (noun)
crime committed using a computer and the internet to steal a person's identity or sell contraband or stalk victims or disrupt operations with malevolent programs	(criminal law) an act punishable by law; usually considered an evil act