Special Forces Support Group was created in 2006.

Special Operations Forces Group was created in 2005.

US Army Special Forces. They are divided into Groups - 1st Group, 5th Group, 10th Group, etc.

Special Forces is only in the Army,but TACP does fall under the Air Forces Special Tactics group which is considered Special Operations.

Yes, "Special Forces" should be capitalized when referring to a specific group, such as the United States Army Special Forces, in a sentence.