A wet double clutch intended to transmit a torque in a motor vehicle transmission chain between an engine having a crankshaft and a gearbox comprising two coaxial input shafts (2, 3) extending along an axis O, said wet double clutch comprising first and second clutches (E1, E2), of the multidisk type, the first clutch being located radially outside the second clutch, each of the first and second clutches (E1, E2) comprising: - an input disk carrier (8, 9) fixed to an input hub common to the first and second clutch (E1, E2) and intended to be coupled in rotation to the crankshaft; - a multidisk assembly (10, 11) connected to the input disk carrier (8, 9); - a force transmission member (25, 38) movable in translation along the axis O so as to actuate the multidisk assembly (10, 11) between a disengaged position and an engaged position of the clutch (E1, E2); said wet double clutch further comprising a control system comprising: - a housing intended to be fixed to the gearbox and comprising an axially extending bearing surface extending in the direction of the input hub, the first and second clutches (E1, E2) bearing on the axially extending bearing surface, - first and second concentric pistons (45, 46) respectively carrying first and second rotating stops (49, 50) cooperating respectively with the force transmission member (25, 38) of the first and second clutches (E1, E2), the first piston being located radially outside the second piston and the axially extending bearing surface, said wet double clutch comprising a stop surface capable of limiting the axial movement of the force transmission member of the first clutch in the direction of the multidisk assembly, the stop surface being placed at an axial distance Y1 from the force transmission member of the first clutch when the first clutch is in the disengaged position, characterized in that, the stop surface is located radially between the outside diameter (db) of the first rotating stop and the outside diameter (dp) of the axially extending bearing surface. - an input disk carrier (8, 9) fixed to an input hub common to the first and second clutch (E1, E2) and intended to be coupled in rotation to the crankshaft; - a multidisk assembly (10, 11) connected to the input disk carrier (8, 9); - a force transmission member (25, 38) movable in translation along the axis O so as to actuate the multidisk assembly (10, 11) between a disengaged position and an engaged position of the clutch (E1, E2); - a housing intended to be fixed to the gearbox and comprising an axially extending bearing surface extending in the direction of the input hub, the first and second clutches (E1, E2) bearing on the axially extending bearing surface, - first and second concentric pistons (45, 46) respectively carrying first and second rotating stops (49, 50) cooperating respectively with the force transmission member (25, 38) of the first and second clutches (E1, E2), the first piston being located radially outside the second piston and the axially extending bearing surface, said wet double clutch comprising a stop surface capable of limiting the axial movement of the force transmission member of the first clutch in the direction of the multidisk assembly, the stop surface being placed at an axial distance Y1 from the force transmission member of the first clutch when the first clutch is in the disengaged position, characterized in that, the stop surface is located radially between the outside diameter (db) of the first rotating stop and the outside diameter (dp) of the axially extending bearing surface. said wet double clutch comprising a stop surface capable of limiting the axial movement of the force transmission member of the first clutch in the direction of the multidisk assembly, the stop surface being placed at an axial distance Y1 from the force transmission member of the first clutch when the first clutch is in the disengaged position, characterized in that, the stop surface is located radially between the outside diameter (db) of the first rotating stop and the outside diameter (dp) of the axially extending bearing surface.