What is the meaning of Dux?

The top (male or female) academic student in a school, or in a year of school; the top student in a specified academic discipline.

A high-ranking commander in the Roman army, responsible for more than one legion.

The subject of a fugue, answered by the comes.

courage

leader, head

commander, general, captain

prince, ruler

guide, cicerone, conductor

duke

(ambiguous example quotation; various possible interpretations)

Alternative form of duk (duke)

doge (chief magistrate in the republics of Venice and Genoa)

Source: wiktionary.org