An assembly for transmitting power from two power sources, such as an internal combustion engine and an electric motor having a rotor, to a transmission input shaft includes a clutch hub driveably connected to the rotor, a first clutch secured to the clutch hub for alternately closing and opening a drive connection between the input shaft and clutch hub, and a second clutch secured to the clutch hub for alternately closing and opening a drive connection between the engine shaft and clutch hub.