A hybrid module for coupling an internal combustion engine in a motor vehicle includes an axis of rotation, an electric machine, a space, and a clutch. The electric machine has a rotor arranged on the axis of rotation. The space is surrounded by the rotor. The clutch is for transmitting a torque from a drive assembly. The clutch is arranged in the space surrounded by the rotor and includes a rotational part fixed to the rotor and arranged on the axis of rotation. The rotational part extends further radially from the axis of rotation than the rotor such that a heat introduced into the rotational part from the rotor or the clutch can be discharged.