Gear-change selector module for a gearshift

A gear-change selector module for a gearshift of a motor vehicle, comprising:

• a housing,
• a movable element movable in an axial direction, and
• a shift fork having a carrier arm which engages in a recess of the movable element,
• wherein the recess extends from an outside of the movable element into the movable element, beyond a center axis of the movable element in a direction perpendicular to the center axis,
• wherein the recess has two actuating faces which lie opposite one another in the axial direction and cooperate with carrier faces arranged on sides of the carrier arm facing away from one another,
• wherein when viewed in a section running through the center axis of the movable element and the center axis of the recess, the actuating faces are each convex in a first portion extending from the center axis in the direction of the outside of the movable element,
• and wherein when viewed in a section running through the center axis of the movable element and the center axis of the recess, the carrier faces each extend in a first portion from radially outside the movable element up to the center axis of the movable element, and in a second portion beyond the center axis of the movable element, with the carrier faces being convex only in the second portion.