There a number of active magical orders on Mars. Most are in Mars City, although some are based in outlying towns such as Heliopolis.
On Mars, the team has encountered one Order:
Hermetic Order of the Crimson Lands, whose members include(d) Madame Gavral, “K”, and Arlen Thompson.
On Earth, the team has encountered other orders:
The Order of St George, of which Lodestone is a member.
Doctor Faustus Society