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

International Tables for Crystallography (2016). Vol. A, ch. 1.3, p. 40

Table 1.3.4.3 

B. Souvigniera*

aRadboud University Nijmegen, Faculty of Science, Mathematics and Computing Science, Institute for Mathematics, Astrophysics and Particle Physics, Postbus 9010, 6500 GL Nijmegen, The Netherlands
Correspondence e-mail: souvi@math.ru.nl

Table 1.3.4.3| top | pdf |
Distribution of space-group types in the hexagonal crystal family

Crystal systemGeometric crystal classLattice system
HexagonalRhombohedral
Hexagonal 6/mmm P6/mmm, P6/mcc, [P6_3/mcm], [P6_3/mmc]  
  [\bar{6}2m] [P\bar{6}m2], [P\bar{6}c2], [P\bar{6}2m], [P\bar{6}2c]  
  6mm P6mm, P6cc, [P6_3cm], [P6_3mc]  
  622 P622, [P6_122], [P6_522 ], [P6_222], [P6_422], [P6_322 ]  
  6/m P6/m, [P6_3/m]  
  [\bar{6}] [P\bar{6}]  
  6 P6, [P6_1], [P6_5], [P6_2], [P6_4], [P6_3]  
Trigonal [\bar{3}m] [P\bar{3}1m], [P\bar{3}1c], [P\bar{3}m1], [P\bar{3}c1] [R\bar{3}m], [R\bar{3}c]
  3m P3m1, P31m, P3c1, P31c R3m, R3c
  32 P312, P321, [P3_112 ], [P3_121], [P3_212], [P3_221] R32
  [\bar{3}] [P\bar{3}] [R\bar{3}]
  3 P3, [P3_1], [P3_2] R3