A hybrid module for a drive train of a motor vehicle, comprises an electric machine which has a stator and a rotor, a torsional vibration damper which has at least one rotary component, and an integrated clutch device which is constructed as a dual clutch. A rotor carrier which receives the rotor is connected directly via a permanent rotary connection to the at least one rotary component. The rotor carrier forms a clutch component of at least one part-clutch of the clutch device.