A torque transmitting device for transmitting torque between a first drive element and an output element, having a torque transmitting unit with a housing delimiting a first fluid chamber filled with a liquid, and a separating clutch arranged outside of the torque transmitting unit and the first fluid chamber in a second fluid chamber separated from the first chamber and which selectively transmits torque between the first drive element and the torque transmitting unit. The separating clutch has a clutch output that is connectable to a clutch input via a friction device and a clutch actuator that comprises a pressing element and an actuation element to which fluid pressure can be applied to move the actuation element. The pressing element is arranged within the second fluid chamber, and the actuation element is at least partly arranged within the first fluid chamber so that pressure is applied thereto by fluid pressure.