WordNet records no synonym and no antonym for had crime. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
(Islam) serious crimes committed by Muslims and punishable by punishments established in the Koran
“Had crimes include apostasy from Islam and murder and theft and adultery”
Synonyms, antonyms and the broader and narrower relations for had crime come from Princeton University’s WordNet. Full sources and licences.