Keyboards are disclosed that are retractable. Movable magnetic or mechanical linkage elements are configured to reposition keycaps and stabilizers between different relative positions. Structures in a movable layer can act on the keycaps or stabilizers to move the keycaps and stabilizers into a retracted position for storage and for saving space in an electronic device. The stabilizers can be scissor mechanisms, butterfly mechanisms, and similar devices. The movable layer can be moved in response to rotation of a hinge or other mechanical element in the electronic device.