irregular has 9 distinct synonyms spread across 6 of its 11 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is regular.
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.
contrary to rule or accepted order or general practice
“irregular hiring practices”
(used of the military) not belonging to or engaged in by regular army forces
“irregular troops”
(of solids) not having clear dimensions that can be measured; volume must be determined with the principle of liquid displacement
deviating from normal expectations; somewhat odd, strange, or abnormal
“these days large families are atypical”
independent in behavior or thought
“she led a somewhat irregular private life”
merchandise that has imperfections; usually sold at a reduced price without the brand name
2 of the 11 recorded senses carry no synonym, antonym or related term, so they are not shown above. Every sense, with its definition and examples, is on the full entry for irregular.
Synonyms, antonyms and the broader and narrower relations for irregular come from Princeton University’s WordNet. Full sources and licences.