The electric machine for a motor vehicle drive train

Electrical machine (12) for a drive train (10) of a motor vehicle, having a housing portion (34), a stator (36) which is fixed relative to the housing portion (34) and a stator core (40), on which stator windings ( 38) are fixed, a rotor (42) (in respect to the stator 36) is rotatably mounted, and a Statorkuhlanordnung (50) for cooling the stator (36), wherein the Statorkuhlanordnung (50) at least one cooling channel (52) which extends along a peripheral portion of the stator (36) and through which a cooling fluid in a flow direction (54) can be guided. In this case, the cooling passage (52) between the housing portion (34) and the stator core (40) is formed.