The affine and Euclidean normalizers of the subperiodic groups
  The affine and Euclidean normalizers of the subperiodic groups, the Frieze groups, the rod groups, and the layer groups, are derived and listed. For the layer groups, the special metrics used for plane group Euclidean normalizers have been considered. 
Brian Kevin VanLeeuwen, Pedro Valent\'in De Jes\'us, Daniel B. Litvin,   Venkatraman Gopalan
cond-mat.mtrl-sci