WordNet records no synonym and no antonym for ethnarch. 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.
the ruler of a province (as in the Roman Empire and Byzantine Empire) or certain religious rulers with secular authority
“the election of Makarios III to archbishop gave him the status of the ethnarch of Cyprus”
Synonyms, antonyms and the broader and narrower relations for ethnarch come from Princeton University’s WordNet. Full sources and licences.