The Federation Faction is one of the 3 starter factions you get to pick in Pixel Starships. The other two being the Pirate and the Qtarian. The Federation is usually in the middle in terms of grid amounts.
The Federation ship is kinda like the middle ground for the factions. It's pretty normal in size and has a box like grid system, this grid system makes the Federation Faction the least wasteful when it comes to grids.
The main color scheme for the Federation ships is a light blue and grey. It also has an eagle insignia which is probably the Federation logo. It also has a different branch of ship which can be switched to at level 10 called Assault.