3rd Terran Fleet
The 3rd Terran Fleet is based in the "densely populated" Capella system. The flagship of the 3rd Fleet, the GTD Aquitaine, played a large role in the crushing of the Neo-Terran Front rebellion and the Second Shivan Incursion. It is not known which other ships are in the 3rd Fleet.
The 3rd Terran Fleet is known to have played a role in the Battle of Deneb, the Shivan Nebula and the final destruction of the Neo-Terran Front. It is said in the ending cutscene that a majority of the fleet (whether or not it was referring to the entire GTVA fleet or the 3rd Fleet individually is not known) was destroyed in the Second Shivan Incursion.