analogy has 1 distinct synonym spread across 1 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 inference that if things agree in some respects they probably agree in others
drawing a comparison in order to show a similarity in some respect
“the operation of a computer presents and interesting analogy to the working of the brain”
the religious belief that between creature and creator no similarity can be found so great but that the dissimilarity is always greater; any analogy between God and humans will always be inadequate
Synonyms, antonyms and the broader and narrower relations for analogy come from Princeton University’s WordNet. Full sources and licences.