A clutch unit, which has at least one wet clutch that is arranged in a housing, which is driven by a drive unit. The clutch is effectively connected to an input part. To simultaneously associate a torsional vibration damper, e.g. a centrifugal pendulum, with the input part, a support disk of the torsional vibration damper is connected to the input part so that no or only minor vibrations are generated, allowing the frequency of the torsional vibration damper to be sufficiently adjusted. For this purpose, at least one plate support is connected to a single support disk which is fixedly mounted on the clutch hub and is thus made rigid. Preferably, the plate support further reduces vibration tolerance.