secretary of state 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.
the person who holds the secretaryship of the Department of State
“the first Secretary of State was Thomas Jefferson”
Synonyms, antonyms and the broader and narrower relations for secretary of state come from Princeton University’s WordNet. Full sources and licences.
the position of the head of the State Department
“the position of Secretary of State was established in 1789”