A torque transmission includes a housing arrangement drivable around an axis of rotation and filled with fluid and a clutch arrangement between the housing arrangement and a driven member. The clutch arrangement has a first friction surface formation rotatable with the housing arrangement and a second friction surface formation rotatable with the driven member. A clutch piston is movable axially for producing and canceling frictional engagement of the first and the second friction surface formation. A piston carrying element is connected to the clutch piston on the radially inner side for axial movement of the clutch piston. The piston carrying element has in its radially inner end region a first axial supporting area for axially supporting the driven member at the piston carrying element and a second axial supporting area for supporting the piston carrying element at the housing arrangement.