subsidiary has 7 distinct synonyms spread across 3 of its 3 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. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
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.
an assistant subject to the authority or control of another
a company that is completely controlled by another company
functioning in a supporting capacity
“the main library and its auxiliary branches”
Synonyms, antonyms and the broader and narrower relations for subsidiary come from Princeton University’s WordNet. Full sources and licences.