cybercrime vs criminal offence

cybercrime and criminal offence both are nouns.

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

As nouns, criminal offence is a hypernym of cybercrime; that is, criminal offence 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 offence: (criminal law) an act punishable by law; usually considered an evil act

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

cybercrime (noun)	criminal offence (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