An electrically conductive, single-piece flat part (100) for a plug with first and second contact pins (112, 114) are arranged in two parallel rows, and with a connector region for a cable. The part has a connecting element (102). Conductors (108, 110) which open into the first and second contact pins (112, 114) extend from the first and from the second side of the connecting element, the conductors (108, 110) which lie on the opposite sides of the connecting element (102) being connected to the connecting element (102) in a manner which is offset with respect to one another in such a way that the imaginary straight extension of a conductor (108, 110) runs on the one side of the connecting element (102) next to one or between two conductors (108, 110) on the opposite side of the connecting element (102). The first contact pins (112) are connected via an offset region (132) to the first conductors (108) which extend from the first side of the connecting element (102), which offset region (132) compensates for the offset of the first and second conductors (108, 110) on the connecting element (102).