A clutch assembly for a drive train of a motor vehicle, wherein the clutch assembly comprises: - a housing, which delimits a wet chamber, - a support body mounted rotatably about an axis of rotation relative to the housing, - a first clutch, which comprises a first first clutch component via the support body for non-rotatable connection to an input shaft and a second first clutch component that is rotatably connectable to the first first clutch component, - a second clutch, which comprises two second clutch components (26, 28) that are rotatably connectable to one another and which is non-rotatably arranged with a first second clutch component on the second first clutch component of the first clutch, and which can be connected with a second second clutch component to a first output shaft, and - a third clutch, which comprises two third clutch components (32, 34) that are rotatably connectable to one another and which is non-rotatably arranged with a first third clutch component on the second first clutch component of the first clutch, and which can be connected with a second third clutch component to a second output shaft, - at least one damper unit, which is arranged within the housing delimiting the wet chamber and which interacts with the support body, characterised in that the clutch assembly comprises a rotor for rotation about the first and the second output shaft, wherein the clutch assembly also comprises a gear wheel which is arranged radially on the outside of the rotor, wherein the gear wheel is configured for torque transmission between the clutch assembly and an electric motor via a gear wheel in operative connection with the electric motor or via a chain. - a housing, which delimits a wet chamber, - a support body mounted rotatably about an axis of rotation relative to the housing, - a first clutch, which comprises a first first clutch component via the support body for non-rotatable connection to an input shaft and a second first clutch component that is rotatably connectable to the first first clutch component, - a second clutch, which comprises two second clutch components (26, 28) that are rotatably connectable to one another and which is non-rotatably arranged with a first second clutch component on the second first clutch component of the first clutch, and which can be connected with a second second clutch component to a first output shaft, and - a third clutch, which comprises two third clutch components (32, 34) that are rotatably connectable to one another and which is non-rotatably arranged with a first third clutch component on the second first clutch component of the first clutch, and which can be connected with a second third clutch component to a second output shaft, - at least one damper unit, which is arranged within the housing delimiting the wet chamber and which interacts with the support body, characterised in that the clutch assembly comprises a rotor for rotation about the first and the second output shaft, wherein the clutch assembly also comprises a gear wheel which is arranged radially on the outside of the rotor, wherein the gear wheel is configured for torque transmission between the clutch assembly and an electric motor via a gear wheel in operative connection with the electric motor or via a chain.