A hybrid module includes a housing, an electric motor, a hydraulic coupling, a first clutch, a second clutch, and a flow plate assembly. The housing is arranged for fixing to a planetary transmission and an engine. The electric motor is disposed in the housing. The electric motor has a stator fixed to the housing and a rotor rotatable relative to the housing. The hydraulic coupling is disposed in the housing and is at least partially radially inside of the electric motor. The first clutch is for drivingly connecting the rotor to the engine. The second clutch is arranged in parallel with the hydraulic coupling for drivingly connecting the rotor to an input shaft of the planetary transmission. The flow plate assembly is fixed to the housing. The flow plate assembly has a first flow plate with a first radial groove forming a first portion of a first radial flow channel, and a second flow plate, fixed to the first flow plate, forming a second portion of the first radial flow channel.