A hybrid system includes a hybrid module that is located between an engine and a transmission. The hybrid system includes an energy storage system for storing energy from and supplying energy to the hybrid module. An inverter transfers power between the energy storage system and the hybrid module. The hybrid system also includes a cooling system, a DC-DC converter, and a high voltage tap. The hybrid module is designed to recover energy, such as during braking, as well as power the vehicle. The hybrid module includes an electrical machine (eMachine) along with electrical and mechanical pumps for circulating fluid. A clutch provides the sole operative connection between the engine and the eMachine. The hybrid system further incorporates a power take off (PTO) unit that is configured to be powered by the engine and/or the eMachine.