The Bulldogs have won two consensus NCAA Division 1-A college football National Championships and 12 Southeastern Conference championships.
The Gamecocks have not won a national championship and have won 2 conference championships ... 1969 when they played in the Atlantic Coast Conference and 2010 in the Eastern Division of the Southeastern Conference.
Do you mean which conference? This question has been "answered", though there are various opinions on the topic.
They have 16 conference championships and 6 national titles.
NFC national football conference and their division is NFC EAST
The Cardinals play in the National Football Conference West Division.
In the National Football League, the Dallas Cowboys are in the Eastern Division of the National Football Conference.