Of a number of things or persons, or one of their number: belonging to the first rank; among the… Applied to things.

Specially great (in comparison with things of the kind generally); of high degree or importance; special, eminent. Obsolete.

In weakened sense in comparative and superlative constructions: high-ranking, having high authority… In the superlative (supremest, most supreme).

Of a thing: main, principal, chief. Now rare.

Ruling, leading, supreme; acting as a hegemon; (now esp.) of, relating to, or assuming political or social hegemony, hegemonistic.

figurative. Paramount, supreme, very great.

Of high status or importance; notable, famous.

Of high rank, authority, or importance. Also: relating to or involving people of high rank or authority.