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 (D) 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 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 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 (D) 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 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 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. <EOS>