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

International Tables for Crystallography (2015). Vol. A, ch. 1.4, p. 49

Table 1.4.1.3 

H. Wondratscheke

Table 1.4.1.3| top | pdf |
List of geometric crystal classes in which the Schoenflies sequence separates space groups belonging to the same arithmetic crystal class

Geometric crystal classSpace-group type
No.Hermann–Mauguin symbolSchoenflies symbol
2/m 10 P2/m [C_{2h}^{1}]
11 [P2_{1}/m] [C_{2h}^{2}]
13 P2/c [C_{2h}^{4}]
14 [P2_{1}/c] [C_{2h}^{5}]
12 C2/m [C_{2h}^{3}]
15 C2/c [C_{2h}^{6}]
32 149 P312 [D_{3}^{1}]
151 [P3_{1}12] [D_{3}^{3}]
153 [P3_{2}12] [D_{3}^{5}]
150 P321 [D_{3}^{2}]
152 [P3_{1}21] [D_{3}^{4}]
154 [P3_{2}21] [D_{3}^{6}]
155 R32 [D_{3}^{7}]
3m 156 P3m1 [C_{3v}^{1}]
158 P3c1 [C_{3v}^{3}]
157 P31m [C_{3v}^{2}]
159 P31c [C_{3v}^{4}]
160 R3m [C_{3v}^{5}]
161 R3c [C_{3v}^{6}]
23 195 P23 [T^{1}]
198 [P2_{1}3] [T^{4}]
196 F23 [T^{2}]
197 I23 [T^{3}]
199 [I2_{1}3] [T^{5}]
[m\bar{3}] 200 [Pm\bar{3}] [T_{h}^{1}]
201 [Pn\bar{3}] [T_{h}^{2}]
205 [Pa\bar{3}] [T_{h}^{6}]
202 [Fm\bar{3}] [T_{h}^{3}]
203 [Fd\bar{3}] [T_{h}^{4}]
204 [Im\bar{3}] [T_{h}^{5}]
206 [Ia\bar{3}] [T_{h}^{7}]
432 207 P432 [O^{1}]
208 [P4_{2}32] [O^{2}]
213 [P4_{1}32] [O^{7}]
212 [P4_{3}32] [O^{6}]
209 F432 [O^{3}]
210 [F4_{1}32] [O^{4}]
211 I432 [O^{5}]
214 [I4_{1}32] [O^{8}]
[\bar{4}3m] 215 [P\bar{4}3m] [T_{d}^{1}]
218 [P\bar{4}3n] [T_{d}^{4}]
216 [F\bar{4}3m] [T_{d}^{2}]
219 [F\bar{4}3c] [T_{d}^{5}]
217 [I\bar{4}3m] [T_{d}^{3}]
220 [I\bar{4}3d] [T_{d}^{6}]