The Lord Commander has his own personal spaceship.
It is the largest ship in his armada, dwarving even a Heavy Incinerator. The Galaxy One could fit entirely within the bridge of the ship when Gary Goodspeed rammed the ship during the battle in "Chapter 10".
In "Chapter 10", H.U.E. refers to the ship as "the Lord Commander's Heavy Incinerator", but the ship looks very different from other heavy incinerators, so it's unknown if this name is correct or not.
The ship is well armed, and houses the Hives. It is also equiped with a tractor beam.