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Task Force 13 was a Starfleet task force extant in the late 24th century. It was part of the Starfleet First Fleet.

In 2377-78, Commodore Selon was Task Force 13's commanding officer aboard the flagship USS Ronald E. McNair (a Nebula-class light cruiser commanded by Captain T'Spar). Task Force 13, deployed on a mission of exploration, was then homeported at Station Lewis B. Puller. (Ships of the Star Fleet, Vol. 4: Star Fleet Operating Forces. )

United Federation of Planets fleets and task forces
Federation fleets: 1st - 2nd - 3rd - 4th - 5th - 6th - 7th - 8th - 9th - 10th - 11th - 12th - 13th - 14th - 15th - 16th - 17th - 19th - 20th - 21st - 22nd - 27th - 29th - 30th - 31st - 33rd - 37th - 44th - Delta Fleet
Battle Groups: Omega Confrontation Groups: Aleph Perimeter Action Groups: PA 5 - PA 6 - PA 13 - PA 21 - PA 31 - PA 38 - PA 41 - PA 44 - PA 52 Pursuit Groups: 1st Pursuit - 1st Andorian Pursuit - 2nd Pursuit - 2nd Andorian Pursuit - 3rd Pursuit - 4th Pursuit - 5th Pursuit - 6th Pursuit - 7th Pursuit - 8th Pursuit - 9th Pursuit - 10th Pursuit - 11th Pursuit - 12th Pursuit - 13th Pursuit
Assault Squadrons: 47th Assault Sqdn Attack Squadrons: 23rd Attack Sqdn - 44th Attack Sqdn Strike Squadrons: 11th Strike Sqdn - 28th Strike Sqdn - 32nd Strike Sqdn
Task Forces: TF1 - TF2 - TF3 - TF4 - TF7 - TF8 - TF9 - TF10 - TF11 - TF13 - TF16 - TF17 - TF18 - TF24 - TF31 - TF45 - TF51 - TF52 - TF53 - TF61 - TF62 - TF63 - TF71 - TF72 - TF73 - TF74 - TF75 - TF76 - TF76A - TF76B - TF77 - TF84 Special - TF126 - TF 143.34.3b - TF173 - TF174 - TF175 - TF Accord - TF Betawi - TF Constitution - TF K - Gamma Force
Tactical Wings: 96th TW - 215th TW - 219th TW - 236th TW - 352nd TW - 473rd TW - 523rd TW - 605th TW - 628th TW - 777th TW - 856th TW
Tactical Fighter Wings: 1356th TFW