A dual clutch for coupling an engine-side input shaft with a first transmission-side and/or a second transmission-side output shaft. A first clutch has a first pressure plate, which is axially mobile relative to a first counter plate, for coupling with a first clutch disk connected to the first output shaft. A second clutch has a second pressure plate, which is axially mobile relative to a second counter plate, for coupling with a clutch disk connected to the second output shaft. A clutch cover is connected to the first and second counter plates. An actuator displaces the first and/or the second pressure plate. The actuator is radially supported on the input side on the input shaft by the clutch cover and a torsional vibration damper, which is connected to the clutch cover and is radially mounted on the output side on one of the output shafts and/or on a transmission housing.