International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. A. ch. 15.4, p. 904

Table 15.4.1.1 

E. Kocha* and W. Fischera

a Institut für Mineralogie, Petrologie und Kristallographie, Philipps-Universität, D-35032 Marburg, Germany
Correspondence e-mail:  kochelke@mailer.uni-marburg.de

Table 15.4.1.1 | top | pdf |
Normalizers of the two-dimensional point groups with respect to the full isometry group of the circle

The upper part refers to the crystallographic, the lower part to the noncrystallographic point groups as listed in Table 10.1.4.1[link] .

Normalizer Point groups
∞m 1, 2, 4, 3, 6
12mm 6mm
8mm 4mm
6mm 3m
4mm 2mm
2mm m
∞m [n, \infty, \infty m]
(2n)mm nmm, nm