Cutter head and cutter head system

A cutter head, particularly for a woodworking machine, comprising:

• at least two grooves defined by the cutter head, each of the at least two grooves configured to receive a cutting insert, the cutting insert being clampable between a first groove wall of the groove and a clamping element, the first groove wall forming an axial angle greater than 0 degrees relative to an axis of rotation of the cutter head, a second groove wall of each of the at least two grooves defining one or more threaded holes that extend perpendicular to the axis of rotation of the cutter head;
• one or more clamping screws held in the one or more threaded holes, the one or more clamping screws configured to pretension the clamping element in a direction of the first groove wall;
• and
• a support plate arranged between the cutting insert and the first groove wall, the support plate having a foot on a rear side thereof configured to work together with an undercut in the first groove wall, the support plate having a projection on a front side thereof configured to work together with the positioning groove of the cutting insert;
• wherein the clamping body defines a recess on a side that faces away from the cutting insert, wherein the one or more clamping screws comprise a round head to be guided within the recess, and wherein the recess in the clamping body comprises a ball socket.