The invention relates to a clutch system (10) comprising: a friction clutch (16) for transmitting torque between a torque introduction element (12) and a torque output element (14); a ramp system (44)for axially shifting a pressure plate (56) of the friction clutch (16), the ramp system (44) having an input ramp (50) and an output ramp (54) that can be rotated relative to the input ramp (50) in order to change an axial extent of the ramp system (44); a pilot clutch (30) engaging with the ramp system (44) for actuating the friction clutch (16) as a result of a difference in speed between the torque introduction element (12) and the torque output element (14); and an electromagnet (32) for magnetically actuating the pilot clutch (30), the ramp system (44) being arranged radially inwards inrelation to the friction clutch (16) and/or to the pilot clutch (30). This therefore allows a simple, efficient adaptation of a torque transfer in a drive train, in particular of a hybrid motor vehicle, to different driving strategies, with minimal installation space requirements and minimal energy usage.