Galactica Trash is a spaceship designed for gathering and processing trash floating in space. It is most likely owned by Clarence, since it was seen bringing the collected trash to his junkyard.
The ship was seen in "The Toro Regatta", cleaning up the debris from the fight between the Team Squad and the Lord Commander in "Chapter 10". Gary Goodspeed was picked up by the ship, and thus saved from suffocation. The remains of KVN and Beth were also among the trash gathered.
The ship can scan anything it collects for potential value, and drops worthless junk on a pile at the bottom of the ship. There doesn't seem to be any crew on board, other than a robot whose body H.U.E. took over.
Scanning for anything value
The worthless junk
The bridge