WordNet records no synonym and no antonym for flying dutchman. It is the only member of each of its synsets, 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 captain of a phantom ship (the Flying Dutchman) who was condemned to sail against the wind until Judgment Day
a phantom ship that is said to appear in storms near the Cape of Good Hope
Synonyms, antonyms and the broader and narrower relations for flying dutchman come from Princeton University’s WordNet. Full sources and licences.