Disclosed is an electromagnetic shifting device for a transmission (1) comprising an electronic control unit (22) and toothed wheels (6, 7) which are disposed on a transmission shaft (2) so as to be rotatable about an axis (3). In order to form a gear stage, the toothed wheels (6, 7) can be connected in a torsion-proof manner to the transmission shaft (2) by axially moving a selector finger (4) along the axis (3). The selector finger (4) is axially moved along the axis (3) by means of a linear motor (12).