This appendix lists space groups by their frequency of occurrence in organic and organometallic crystal structures.

This table lists all space groups that occur at least 40 times in the Cambridge Structural Database (CSD), arranged in descending order of frequency. Since there were already over 250,000 structures in the CSD when this list was compiled, any space group not included in the table is very uncommon. Only the symbol for the standard setting is given for each space group in the list.

Number	Symbol	Occurrences	Number	Symbol	Occurrences
14	P21/c	73151	2	P-1	41639
19	P212121	18216	15	C2/c	15150
4	P21	11572	61	Pbca	7768
33	Pna21	3157	62	Pnma	3128
9	Cc	2075	1	P1	1848
60	Pbcn	1841	5	C2	1702
29	Pca21	1474	11	P21/m	1350
13	P2/c	1064	12	C2/m	1053
148	R-3	1044	18	P21212	970
7	Pc	760	56	Pccn	720
43	Fdd2	684	88	I41/a	671
92	P41212	522	20	C2221	393
36	Cmc21	362	64	Cmca	334
82	I-4	330	176	P63/m	325
146	R3	311	96	P43212	290
114	P-421c	289	57	Pbcm	285
86	P42/n	275	161	R3c	271
63	Cmcm	270	76	P41	240
167	R-3c	236	205	Pa3	226
152	P3121	222	85	P4/n	213
41	Aba2	211	147	P-3	194
31	Pmn21	188	70	Fddd	180
58	Pnnm	173	144	P31	168
52	Pnna	166	173	P63	149
45	Iba2	143	198	P213	143
169	P61	132	145	P32	131
8	Cm	126	87	I4/m	122
122	I-42d	114	78	P43	113
154	P3221	106	165	P-3c1	100
72	Ibam	99	59	Pmmn	92
68	Ccca	92	170	P65	90
155	R32	87	142	I41/acd	86
110	I41cd	85	130	P4/ncc	85
166	R-3m	84	54	Pcca	81
129	P4/nmm	79	160	R3m	78
55	Pbam	74	34	Pnn2	72
113	P-421m	71	143	P3	70
163	P-31c	62	225	Fm3m	62
121	I-42m	57	80	I41	56
79	I4	55	81	P-4	55
217	I-43m	55	23	I222	54
3	P2	53	10	P2/m	53
186	P63mc	53	118	P-4n2	49
126	P4/nnc	49	127	P4/mbm	49
194	P63/mmc	49	26	Pmc21	48
159	P31c	48	73	Ibca	47
178	P6122	47	94	P42212	46
136	P42/mnm	46	32	Pba2	44
17	P2221	43	40	Ama2	42

This table lists all Sohnke space groups (i.e. space groups in which enantiomerically pure substances can crystallise) that occur at least 40 times in the Cambridge Structural Database (CSD), arranged in descending order of frequency. Since there were over 250,000 structures in the CSD when this list was compiled, any space group not in the table is very uncommon. Only the symbol for the standard setting is given for each space group in the list.

Number	Symbol	Occurrences	Number	Symbol	Occurrences
19	P212121	18216	4	P21	11572
1	P1	1848	5	C2	1702
18	P21212	970	92	P41212	522
20	C2221	393	146	R3	311
96	P43212	290	76	P41	240
152	P3121	222	144	P31	168
173	P63	149	198	P213	143
169	P61	132	145	P32	131
78	P43	113	154	P3221	106
170	P65	90	155	R32	87
143	P3	70	80	I41	56
79	I4	55	23	I222	54
3	P2	53	178	P6122	47
94	P42212	46	17	P2221	43

The Entry Number is an internal identifier used by DASH. The corresponding space group number, setting and symbol are shown in the second column of the table. Within a DASH .sdi file, the space group is stored as:

SpaceGroup entry_number sg#:setting symbol

For example:
SpaceGroup 39 4:b P 1 21 1
or
SpaceGroup 52 9:b3 I 1 a 1

Entry Number	SG #:setting	Symbol
1	1	P 1
2	2	P -1
3	3:a	P 2 1 1
4	4:a	P 21 1 1
5	5:a1	B 2 1 1
6	5:a2	C 2 1 1
7	5:a3	I 2 1 1
8	6:a	P m 1 1
9	7:a1	P b 1 1
10	7:a2	P n 1 1
11	7:a3	P c 1 1
12	8:a1	B m 1 1
13	8:a2	C m 1 1
14	8:a3	I m 1 1
15	9:a1	B b 1 1
16	9:a2	C n 1 1
17	9:a3	I c 1 1
18	9:-a1	C c 1 1
19	9:-a2	B n 1 1
20	9:-a3	I b 1 1
21	10:a	P 2/m 1 1
22	11:a	P 21/m 1 1
23	12:a1	B 2/m 1 1
24	12:a2	C 2/m 1 1
25	12:a3	I 2/m 1 1
26	13:a1	P 2/b 1 1
27	13:a2	P 2/n 1 1
28	13:a3	P 2/c 1 1
29	14:a1	P 21/b 1 1
30	14:a2	P 21/n 1 1
31	14:a3	P 21/c 1 1
32	15:a1	B 2/b 1 1
33	15:a2	C 2/n 1 1
34	15:a3	I 2/c 1 1
35	15:-a1	C 2/c 1 1
36	15:-a2	B 2/n 1 1
37	15:-a3	I 2/b 1 1
38	3:b	P 1 2 1
39	4:b	P 1 21 1
40	5:b1	C 1 2 1
41	5:b2	A 1 2 1
42	5:b3	I 1 2 1
43	6:b	P 1 m 1
44	7:b1	P 1 c 1
45	7:b2	P 1 n 1
46	7:b3	P 1 a 1
47	8:b1	C 1 m 1
48	8:b2	A 1 m 1
49	8:b3	I 1 m 1
50	9:b1	C 1 c 1
51	9:b2	A 1 n 1
52	9:b3	I 1 a 1
53	9:-b1	A 1 a 1
54	9:-b2	C 1 n 1
55	9:-b3	I 1 c 1
56	10:b	P 1 2/m 1
57	11:b	P 1 21/m 1
58	12:b1	C 1 2/m 1
59	12:b2	A 1 2/m 1
60	12:b3	I 1 2/m 1
61	13:b1	P 1 2/c 1
62	13:b2	P 1 2/n 1
63	13:b3	P 1 2/a 1
64	14:b1	P 1 21/c 1
65	14:b2	P 1 21/n 1
66	14:b3	P 1 21/a 1
67	15:b1	C 1 2/c 1
68	15:b2	A 1 2/n 1
69	15:b3	I 1 2/a 1
70	15:-b1	A 1 2/a 1
71	15:-b2	C 1 2/n 1
72	15:-b3	I 1 2/c 1
73	3:c	P 1 1 2
74	4:c	P 1 1 21
75	5:c1	A 1 1 2
76	5:c2	B 1 1 2
77	5:c3	I 1 1 2
78	6:c	P 1 1 m
79	7:c1	P 1 1 a
80	7:c2	P 1 1 n
81	7:c3	P 1 1 b
82	8:c1	A 1 1 m
83	8:c2	B 1 1 m
84	8:c3	I 1 1 m
85	9:c1	A 1 1 a
86	9:c2	B 1 1 n
87	9:c3	I 1 1 b
88	9:-c1	B 1 1 b
89	9:-c2	A 1 1 n
90	9:-c3	I 1 1 a
91	10:c	P 1 1 2/m
92	11:c	P 1 1 21/m
93	12:c1	A 1 1 2/m
94	12:c2	B 1 1 2/m
95	12:c3	I 1 1 2/m
96	13:c1	P 1 1 2/a
97	13:c2	P 1 1 2/n
98	13:c3	P 1 1 2/b
99	14:c1	P 1 1 21/a
100	14:c2	P 1 1 21/n
101	14:c3	P 1 1 21/b
102	15:c1	A 1 1 2/a
103	15:c2	B 1 1 2/n
104	15:c3	I 1 1 2/b
105	15:-c1	B 1 1 2/b
106	15:-c2	A 1 1 2/n
107	15:-c3	I 1 1 2/a
108	16	P 2 2 2
109	17	P 2 2 21
110	17:cab	P 21 2 2
111	17:bca	P 2 21 2
112	18	P 21 21 2
113	18:cab	P 2 21 21
114	18:bca	P 21 2 21
115	19	P 21 21 21
116	20	C 2 2 21
117	20:cab	A 21 2 2
118	20:bca	B 2 21 2
119	21	C 2 2 2
120	21:cab	A 2 2 2
121	21:bca	B 2 2 2
122	22	F 2 2 2
123	23	I 2 2 2
124	24	I 21 21 21
125	25	P m m 2
126	25:cab	P 2 m m
127	25:bca	P m 2 m
128	26	P m c 21
129	26:ba-c	P c m 21
130	26:cab	P 21 m a
131	26:-cba	P 21 a m
132	26:bca	P b 21 m
133	26:a-cb	P m 21 b
134	27	P c c 2
135	27:cab	P 2 a a
136	27:bca	P b 2 b
137	28	P m a 2
137	28:ba-c	P b m 2
139	28:cab	P 2 m b
140	28:-cba	P 2 c m
141	28:bca	P c 2 m
142	28:a-cb	P m 2 a
143	29	P c a 21
144	29:ba-c	P b c 21
145	29:cab	P 21 a b
146	29:-cba	P 21 c a
147	29:bca	P c 21 b
148	29:a-cb	P b 21 a
149	30	P n c 2
150	30:ba-c	P c n 2
151	30:cab	P 2 n a
152	30:-cba	P 2 a n
153	30:bca	P b 2 n
154	30:a-cb	P n 2 b
155	31	P m n 21
156	31:ba-c	P n m 21
157	31:cab	P 21 m n
158	31:-cba	P 21 n m
159	31:bca	P n 21 m
160	31:a-cb	P m 21 n
161	32	P b a 2
162	32:cab	P 2 c b
163	32:bca	P c 2 a
164	33	P n a 21
165	33:ba-c	P b n 21
166	33:cab	P 21 n b
167	33:-cba	P 21 c n
168	33:bca	P c 21 n
169	33:a-cb	P n 21 a
170	34	P n n 2
171	34:cab	P 2 n n
172	34:bca	P n 2 n
173	35	C m m 2
174	35:cab	A 2 m m
175	35:bca	B m 2 m
176	36	C m c 21
177	36:ba-c	C c m 21
178	36:cab	A 21 m a
179	36:-cba	A 21 a m
180	36:bca	B b 21 m
181	36:a-cb	B m 21 b
182	37	C c c 2
183	37:cab	A 2 a a
184	37:bca	B b 2 b
185	38	A m m 2
186	38:ba-c	B m m 2
187	38:cab	B 2 m m
188	38:-cba	C 2 m m
189	38:bca	C m 2 m
190	38:a-cb	A m 2 m
191	39	A b m 2
192	39:ba-c	B m a 2
193	39:cab	B 2 c m
194	39:-cba	C 2 m b
195	39:bca	C m 2 a
196	39:a-cb	A c 2 m
197	40	A m a 2
198	40:ba-c	B b m 2
199	40:cab	B 2 m b
200	40:-cba	C 2 c m
201	40:bca	C c 2 m
202	40:a-cb	A m 2 a
203	41	A b a 2
204	41:ba-c	B b a 2
205	41:cab	B 2 c b
206	41:-cba	C 2 c b
207	41:bca	C c 2 a
208	41:a-cb	A c 2 a
209	42	F m m 2
210	42:cab	F 2 m m
211	42:bca	F m 2 m
212	43	F d d 2
213	43:cab	F 2 d d
214	43:bca	F d 2 d
215	44	I m m 2
216	44:cab	I 2 m m
217	44:bca	I m 2 m
218	45	I b a 2
219	45:cab	I 2 c b
220	45:bca	I c 2 a
221	46	I m a 2
222	46:ba-c	I b m 2
223	46:cab	I 2 m b
224	46:-cba	I 2 c m
225	46:bca	I c 2 m
226	46:a-cb	I m 2 a
227	47	P m m m
228	48:1	P n n n:1
229	48:2	P n n n:2
230	49	P c c m
231	49:cab	P m a a
232	49:bca	P b m b
233	50:1	P b a n:1
234	50:2	P b a n:2
235	50:1cab	P n c b:1
236	50:2cab	P n c b:2
237	50:1bca	P c n a:1
238	50:2bca	P c n a:2
239	51	P m m a
240	51:ba-c	P m m b
241	51:cab	P b m m
242	51:-cba	P c m m
243	51:bca	P m c m
244	51:a-cb	P m a m
245	52	P n n a
246	52:ba-c	P n n b
247	52:cab	P b n n
248	52:-cba	P c n n
249	52:bca	P n c n
250	52:a-cb	P n a n
251	53	P m n a
252	53:ba-c	P n m b
253	53:cab	P b m n
254	53:-cba	P c n m
255	53:bca	P n c m
256	53:a-cb	P m a n
257	54	P c c a
258	54:ba-c	P c c b
259	54:cab	P b a a
260	54:-cba	P c a a
261	54:bca	P b c b
262	54:a-cb	P b a b
263	55	P b a m
264	55:cab	P m c b
265	55:bca	P c m a
266	56	P c c n
267	56:cab	P n a a
268	56:bca	P b n b
269	57	P b c m
270	57:ba-c	P c a m
271	57:cab	P m c a
272	57:-cba	P m a b
273	57:bca	P b m a
274	57:a-cb	P c m b
275	58	P n n m
276	58:cab	P m n n
277	58:bca	P n m n
278	59:1	P m m n:1
279	59:2	P m m n:2
280	59:1cab	P n m m:1
281	59:2cab	P n m m:2
282	59:1bca	P m n m:1
283	59:2bca	P m n m:2
284	60	P b c n
285	60:ba-c	P c a n
286	60:cab	P n c a
287	60:-cba	P n a b
288	60:bca	P b n a
289	60:a-cb	P c n b
290	61	P b c a
291	61:ba-c	P c a b
292	62	P n m a
293	62:ba-c	P m n b
294	62:cab	P b n m
295	62:-cba	P c m n
296	62:bca	P m c n
297	62:a-cb	P n a m
298	63	C m c m
299	63:ba-c	C c m m
300	63:cab	A m m a
301	63:-cba	A m a m
302	63:bca	B b m m
303	63:a-cb	B m m b
304	64	C m c a
305	64:ba-c	C c m b
306	64:cab	A b m a
307	64:-cba	A c a m
308	64:bca	B b c m
309	64:a-cb	B m a b
310	65	C m m m
311	65:cab	A m m m
312	65:bca	B m m m
313	66	C c c m
314	66:cab	A m a a
315	66:bca	B b m b
316	67	C m m a
317	67:ba-c	C m m b
318	67:cab	A b m m
319	67:-cba	A c m m
320	67:bca	B m c m
321	67:a-cb	B m a m
322	68:1	C c c a:1
323	68:2	C c c a:2
324	68:1ba-c	C c c b:1
325	68:2ba-c	C c c b:2
326	68:1cab	A b a a:1
327	68:2cab	A b a a:2
328	68:1-cba	A c a a:1
329	68:2-cba	A c a a:2
330	68:1bca	B b c b:1
331	68:2bca	B b c b:2
332	68:1a-cb	B b a b:1
333	68:2a-cb	B b a b:2
334	69	F m m m
335	70:1	F d d d:1
336	70:2	F d d d:2
337	71	I m m m
338	72	I b a m
339	72:cab	I m c b
340	72:bca	I c m a
341	73	I b c a
342	73:ba-c	I c a b
343	74	I m m a
344	74:ba-c	I m m b
345	74:cab	I b m m
346	74:-cba	I c m m
347	74:bca	I m c m
348	74:a-cb	I m a m
349	75	P 4
350	76	P 41
351	77	P 42
352	78	P 43
353	79	I 4
354	80	I 41
355	81	P -4
356	82	I -4
357	83	P 4/m
358	84	P 42/m
359	85:1	P 4/n:1
360	85:2	P 4/n:2
361	86:1	P 42/n:1
362	86:2	P 42/n:2
363	87	I 4/m
364	88:1	I 41/a:1
365	88:2	I 41/a:2
366	89	P 4 2 2
367	90	P 42 1 2
368	91	P 41 2 2
369	92	P 41 21 2
370	93	P 42 2 2
371	94	P 42 21 2
372	95	P 43 2 2
373	96	P 43 21 2
374	97	I 4 2 2
375	98	I 41 2 2
376	99	P 4 m m
377	100	P 4 b m
378	101	P 42 c m
379	102	P 42 n m
380	103	P 4 c c
381	104	P 4 n c
382	105	P 42 m c
383	106	P 42 b c
384	107	I 4 m m
385	108	I 4 c m
386	109	I 41 m d
387	110	I 41 c d
388	111	P -4 2 m
389	112	P -4 2 c
390	113	P -4 21 m
391	114	P -4 21 c
392	115	P -4 m 2
393	116	P -4 c 2
394	117	P -4 b 2
395	118	P -4 n 2
396	119	I -4 m 2
397	120	I -4 c 2
398	121	I -4 2 m
399	122	I -4 2 d
400	123	P 4/m m m
401	124	P 4/m c c
402	125:1	P 4/n b m:1
403	125:2	P 4/n b m:2
404	126:1	P 4/n n c:1
405	126:2	P 4/n n c:2
406	127	P 4/m b m
407	128	P 4/m n c
408	129:1	P 4/n m m:1
409	129:2	P 4/n m m:2
410	130:1	P 4/n c c:1
411	130:2	P 4/n c c:2
412	131	P 42/m m c
413	132	P 42/m c m
414	133:1	P 42/n b c:1
415	133:2	P 42/n b c:2
416	134:1	P 42/n n m:1
417	134:2	P 42/n n m:2
418	135	P 42/m b c
419	136	P 42/m n m
420	137:1	P 42/n m c:1
421	137:2	P 42/n m c:2
422	138:1	P 42/n c m:1
423	138:2	P 42/n c m:2
424	139	I 4/m m m
425	140	I 4/m c m
426	141:1	I 41/a m d:1
427	141:2	I 41/a m d:2
428	142:1	I 41/a c d:1
429	142:2	I 41/a c d:2
430	143	P 3
431	144	P 31
432	145	P 32
433	146:H	R 3:H
434	147	P -3
435	148:H	R -3:H
436	149	P 3 1 2
437	150	P 3 2 1
438	151	P 31 1 2
439	152	P 31 2 1
440	153	P 32 1 2
441	154	P 32 2 1
442	155:H	R 32:H
443	156	P 3 m 1
444	157	P 3 1 m
445	158	P 3 c 1
446	159	P 3 1 c
447	160:H	R 3 m:H
448	161:H	R 3 c:H
449	162	P -3 1 m
450	163	P -3 1 c
451	164	P -3 m 1
452	165	P -3 c 1
453	166:H	R -3 m:H
454	167:H	R -3 c:H
455	146:R	R 3:R
456	148:R	R -3:R
457	155:R	R 32:R
458	160:R	R 3 m:R
459	161:R	R 3 c:R
460	166:R	R -3 m:R
461	167:R	R -3 c:R
462	168	P 6
463	169	P 61
464	170	P 65
465	171	P 62
466	172	P 64
467	173	P 63
468	174	P -6
469	175	P 6/m
470	176	P 63/m
471	177	P 6 2 2
472	178	P 61 2 2
473	179	P 65 2 2
474	180	P 62 2 2
475	181	P 64 2 2
476	182	P 63 2 2
477	183	P 6 m m
478	184	P 6 c c
479	185	P 63 c m
480	186	P 63 m c
481	187	P -6 m 2
482	188	P -6 c 2
482	189	P -6 2 m
484	190	P -6 2 c
485	191	P 6/m m m
486	192	P 6/m c c
487	193	P 63/m c m
488	194	P 63/m m c
489	195	P 2 3
490	196	F 2 3
491	197	I 2 3
492	198	P 21 3
493	199	I 21 3
494	200	P m -3
495	201:1	P n -3:1
496	201:2	P n -3:2
497	202	F m -3
498	203:1	F d -3:1
499	203:2	F d -3:2
500	204	I m -3
501	205	P a -3
502	206	I a -3
503	207	P 4 3 2
504	208	P 42 3 2
505	209	F 4 3 2
506	210	F 41 3 2
507	211	I 4 3 2
508	212	P 43 3 2
509	213	P 41 3 2
510	214	I 41 3 2
511	215	P -4 3 m
512	216	F -4 3 m
513	217	I -4 3 m
514	218	P -4 3 n
515	219	F -4 3 c
516	220	I -4 3 d
517	221	P m -3 m
518	222:1	P n -3 n:1
519	222:2	P n -3 n:2
520	223	P m -3 n
521	224:1	P n -3 m:1
522	224:2	P n -3 m:2
523	225	F m -3 m
524	226	F m -3 c
525	227:1	F d -3 m:1
526	227:2	F d -3 m:2
527	228:1	F d -3 c:1
528	228:2	F d -3 c:2
529	229	I m -3 m
530	230	I a -3 d