A clutch system for optionally transmitting torque between an input side and an output side comprises a pre-clutch having a first clutch input and a first clutch output and a main clutch having a second clutch input and a second clutch output. The pre-clutch can be brought in a closed or an open state and is connected to the main clutch such that the open position and the closed position of the pre-clutch is transmitted to the main clutch. Conversion means for converting a rotational movement to an axial movement are effectively arranged between the first clutch output and the second clutch input and transmission means are effectively arranged between the conversion means and the second clutch input. The transmission means comprise a first transmission element and a second transmission element, which can be rotated relative to the first transmission element.
