An electromagnetic frictionally engaged clutch provided with a rotor part including a friction lining. An electrical coil and a first permanent magnet are arranged on the rotor part. The clutch also includes an armature disk which is connected to a second shaft and can be displaced in a rotationally fixed manner, but axially from a coupled end position to an uncoupled end position. The coil of the clutch is enabled to be current-free both in the coupled state and in the uncoupled state. To this end, a second permanent magnet is provided for exerting an axial force opposing the magnetic force of the first permanent magnet on the armature disk.