dominance has 11 distinct synonyms spread across 3 of its 4 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.
the state that exists when one person or group has power over another
“her apparent dominance of her husband was really her attempt to make him pay attention to her”
the organic phenomenon in which one of a pair of alleles present in a genotype is expressed in the phenotype and the other allele of the pair is not
the power or right to give orders or make decisions
“he has the authority to issue warrants”
Synonyms, antonyms and the broader and narrower relations for dominance come from Princeton University’s WordNet. Full sources and licences.