malicious mischief vs hooliganism

malicious mischief and hooliganism both are nouns.

Word	Noun	Adjective	Verb	Adverb
malicious mischief	Yes	No	No	No
hooliganism	Yes	No	No	No

As nouns, malicious mischief and hooliganism are synonyms defined as:

malicious mischief and hooliganism: willful wanton and malicious destruction of the property of others

Other synonyms of malicious mischief include vandalism.

malicious mischief (noun)	hooliganism (noun)
willful wanton and malicious destruction of the property of others	willful wanton and malicious destruction of the property of others