What's the difference between flagmen and flamen?

Flagmen

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Definition:

• (pl. ) of Flagman

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Flamen

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Definition:

• (n.) A priest devoted to the service of a particular god, from whom he received a distinguishing epithet. The most honored were those of Jupiter, Mars, and Quirinus, called respectively Flamen Dialis, Flamen Martialis, and Flamen Quirinalis.

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