International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2016). Vol. A, ch. 3.5, p. 851

Table 3.5.4.1 

E. Kocha and W. Fischera

Table 3.5.4.1| 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 3.2.1.5[link] . The letter n represents an arbitrary integer; (2n) represents an even number.

NormalizerPoint 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