Trierarchy

noun

1. The authority or office of the commander of a trierarch.
2. The ancient Athenian system whereby individual citizens furnished and maintained triremes as a part of their public duty.
3. The office or duty of a trierarch.
4. The trierarchs collectively.
5. The system in ancient Athens of forming a national fleet by compelling certain wealthy persons to fit out and maintain vessels at their own expense.