The disclosure relates to an electric machine having a stator, a rotor and an inverter arranged in an inverter housing. The rotor is rotatably mounted about a rotational axis with its rotor axis in a first end shield and in a second end shield. The second end shield is arranged in or on the inverter housing. At least one suction opening and at least one blowing opening are arranged on the radial periphery of the second end shield. At least two cooling fins are provided on the second end shield, a baffle is arranged between the cooling fins of the second end shield and the stator and the rotor which is arranged in the stator, such that a cooling medium flowing radially through the at least one suction opening is guided to the at least one blowing opening.