A party is not a faction
The known player factions are organizations that have risen, been shattered, and risen again several times. Their longevity and resilience are largely due to their grassroots, secretive nature, and the near-autonomy of many of its members.
For real world equivalents of factions you need to think big: the mafia, the yakuzaInternational Red Cross, the five eyes intelligence agencies, FIFA, and the belt and road initiative could all be considered factions. Five guys running an exploration and salvage business aren’t.
Now, the creation of a faction could make for the basis of an ongoing and even multi-generational campaign. But, in a reverse duck test, calling something a faction doesn’t make it one.