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

International Tables for Crystallography (2016). Vol. A, ch. 3.3, p. 778

Table 3.3.1.3 

H. Burzlaffa and H. Zimmermannb*

aUniversität Erlangen–Nürnberg, Robert-Koch-Strasse 4a, D-91080 Uttenreuth, Germany, and bInstitut für Angewandte Physik, Lehrstuhl für Kristallographie und Strukturphysik, Universität Erlangen–Nürnberg, Bismarckstrasse 10, D-91054 Erlangen, Germany
Correspondence e-mail:  helmuth.zimmermann@krist.uni-erlangen.de

Table 3.3.1.3| top | pdf |
Point-group symbols

SchoenfliesShubnikovInternational Tables, short symbolInternational Tables, full symbol
[C_{1}] 1 1 1
[C_{i}] [\tilde{2}] [\bar{1}] [\bar{1}]
[C_{2}] 2 2 2
[C_{s}] m m m
[C_{2h}] [2:m] [2/m] [2/m]
[D_{2}] [2:2] 222 222
[C_{2v}] [2 \cdot m] mm2 mm2
[D_{2h}] [m \cdot 2:m] mmm [2/m\ 2/m\ 2/m]
[C_{4}] 4 4 4
[S_{4}] [\widetilde{4}] [\bar{4}] [\bar{4}]
[C_{4h}] [4:m] [4/m] [4/m]
[D_{4}] [4:2] 422 422
[C_{4v}] [4 \cdot m] 4mm 4mm
[D_{2d}] [\widetilde{4}:2] [\bar{4}2m] or [\bar{4}m2] [\bar{4}2m] or [\bar{4}m2]
[D_{4h}] [m \cdot 4:m] [4/mmm] [4/m\ 2/m\ 2/m]
[C_{3}] 3 3 3
[C_{3i}] [\widetilde{6}] [\bar{3}] [\bar{3}]
[D_{3}] [3:2] 32 or 321 or 312 32 or 321 or 312
[C_{3v}] [3 \cdot m] 3m or 3m1 or 31m 3m or 3m1 or 31m
[D_{3d}] [\widetilde{6} \cdot m] [\bar{3}m] or [\bar{3}m1] or [\bar{3}1m] [\bar{3}\; 2/m] or [\bar{3}\; {2/m} 1] or [\bar{3} 1 {2/m}]
[C_{6}] 6 6 6
[C_{3h}] [3:m] [\bar{6}] [\bar{6}]
[C_{6h}] [6:m] [6/m] [6/m]
[D_{6}] [6:2] 622 622
[C_{6v}] [6\cdot m] 6mm 6mm
[D_{3h}] [m\cdot 3:m] [\bar{6}m2] or [\bar{6}2m] [\bar{6}m2] or [\bar{6}2m]
[D_{6h}] [m\cdot 6:m] [6/mmm] [6/m\; 2/m\; 2/m]
T [3/2] 23 23
[T_{h}] [\widetilde{6}/2] [m\bar{3}] [{2/m} \bar{3}]
O [3/4] 432 432
[T_{d}] [3/\widetilde{4}] [\bar{4}3m] [\bar{4}3m]
[O_{h}] [\widetilde{6}/4] [m\bar{3}m] [4/m\; \bar{3}\; 2/m]