General Hux is a fictional male in the Star Wars series. The character was portrayed on screen by Domhnall Gleeson. His allegiance / loyalty is to the First Order. General Hux is one of the leader of the First Order, the organisation that the Galactic Empire became after they got routed at battle of the Moon of Endor. The supreme leader of the organisation is not surprisingly called Supreme Leader Snoke. General Hux is not a Sith Lord but a general within the organisation in much the same way as Grand Moff Tarkin was in the star Wars IV - A New Hope. He along with Kylo Ren are tasked with finding where Luke Skywalker has gone as he has disappeared after Ben Solo turned into Kylo Ren. Ben Solo is Luke`s nephew, the son of Han Solo and Princess Leia.
Whilst Kylo Ren is more fighting, General Hux is more organisational and dealing with the everyday running of the organisation. His status is unknown, he was on the Starkiller Base, a hollowed out planet when the Rebel Alliance attacked and was told to come to Snoke when the battle looked like it was going to be won by the Rebel Alliance.