Transmission element for a drivetrain of parallel hybrid type

This element includes an input member (15), an output member (19), an electric machine (14) comprising a rotor (26), a first wet clutch (89A) between the input member (15) and an intermediate member (83) rotatable about a first axis (X-X '). The intermediate member (83) is rotatably connected to the rotor (26), and a second wet clutch (89B) is positioned between the intermediate member (83) and the output member (19). This element further comprises a housing (21) in which are mounted coaxially and concentrically the first and second clutches (89A, 89B). The axis of rotation (YY ') of the rotor (26) is distinct from the first axis (X-X') and transmission means (121, 123, 135) connecting in rotation the rotor (26) and the intermediate member (83). It also comprises selective control means and lubrication / cooling of the first and second clutches (89A, 89B) .The use of motor vehicle powertrains.