Hybrid module for interconnecting an engine and a dual-clutch transmission

A hybrid module interconnects an engine and a dual-clutch transmission (DCT). The hybrid module includes a first carrier, a second carrier, and a first clutch. The first carrier is operatively connected to the DCT and is rotatable about the axis at a first rotational velocity. The second carrier is operatively connected to the engine and is rotatable about the axis at a second rotational velocity. The first clutch surrounds the axis and operatively interconnects the first carrier and the second carrier. The first clutch overruns such that they rotate independently when the first rotational velocity of the first carrier is less than the second rotational velocity of the second carrier. The first clutch also engages and locks rotation of the carriers when the second rotational velocity is equal to the first rotational velocity such that the second carrier drives the rotation of the first carrier about the axis.