A multi-mode hybrid module includes a fluid coupling, an electric motor and a first clutch. The fluid coupling includes a fluid coupling housing, an impeller drivingly connected to the fluid coupling housing, and a turbine arranged for driving connection to a transmission input shaft. The electric motor includes a nonrotatable stator and a rotatable rotor including a rotor carrier. The first clutch is arranged to drivingly connect the rotor carrier directly to the transmission input shaft. In some example embodiments, the first clutch is a dog clutch. In some example embodiments, the multi-mode hybrid module includes a first clutch actuator. The first clutch has an axially slidable sleeve arranged to selectively rotationally connect the rotor carrier and the transmission input shaft, and the first clutch actuator is arranged to displace the axially slidable sleeve to connect and disconnect the rotor carrier and the transmission input shaft.