Help Building Secret Organization for Occult Horror Game

[macphersonrants]

I'm rolling with the pseudo-Masonic order angle. I'm going to model the core group after the Quator Coronati Lodge in London. What I'm looking for is a suitably arcane name. I don't want to use the actual lodge name, so I need to figure one out.

Inspired by Machiavelli, I've toyed with something along the lines of the Order of Chiron, with the name being drawn from, Chiron, the mythical centaur who was the tutor of Achilles. Front organizations could then take their names from pupils of Chiron like Achilles, Ajax, Theseus, and so on.

I'm wondering if anyone might be able to give me a nice Greek or Latin inspired lodge name, incorporating Chiron, but with a Masonic ring to it. Order of Chiron doesn't do it for me, but maybe if it was in a classical language it would sound more appropriate.