A torque transmitting apparatus which can be used as a friction clutch in the power train between the output element of the engine and the input element of the transmission of a motor vehicle has a pressure plate which cooperates with a counterpressure plate to clamp a clutch disc when the clutch is engaged. The counterpressure plate is the secondary flywheel of a composite flywheel assembly whose primary flywheel is affixed to the output element of the engine. The pressure plate and/or the counterpressure plate and/or the primary flywheel can constitute a stamping or a forging. The counterpressure plate is provided with outwardly extending arms which stress the coil springs of a damper installed in an annular chamber of the primary flywheel and serving to oppose rotation of the primary flywheel and the counterpressure plate relative to each other.