Lamina plates can include various features that allow a surgeon to couple the plate to a vertebra, such as a plurality of receiving holes for receiving a spinal fixation element. The plate can be shaped and the receiving holes positioned such that spinal fixation elements can be installed with reduced exposure of the spine and along a trajectory that enhances purchase with bone. The lamina plate can include one or more features for coupling at least one receiver head to the plate for receiving a spinal stabilization element. Since the receiver head can be coupled to the plate after the plate is implanted, it does not restrict the range of angles or trajectories at which the spinal fixation elements can be installed.