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APPENDIX 7 - SPACE GROUP NUMBERS

Each space group is represented by its Hermann Mauguin symbol and number, as recorded in International Tables for Crystallography.

The only exception is for trigonal space groups with an R-lattice and for which the atomic coordinates are referred to rhombohedral axes. In these cases r is appended to the conventional symbol, e.g. R-3r.

For structural studies where the space group has not been completely determined, an aspect symbol is recorded, and, for these, the number lies in the range 231-729.

In this appendix, the information is sorted by space group/aspect number.

1         C1
1         I1
1         P1
2         A-1
2         B-1
2         C-1
2         F-1
2         I-1
2         P-1
3         P112
3         P2
4         B21
4         C1121
4         P1121
4         P21
4         P2111
5         A112
5         A2
5         B112
5         C2
5         F2
5         I2
5         I21
6         Pm
7         Bd
7         C11a
7         Pa
7         Pc
7         Pn
7         P11b
7         P11n
8         Am
8         Cm
8         Im
9         Aa
9         An
9         A11a
9         B11b
9         Cc
9         Cn
9         Fd11
9         Ia
9         Ic
10        P2/m
11        B21/m
11        P1121/m
11        P21/m
12        A112/m
12        A2/m
12        B112/m
12        C2/a
12        C2/m11
12        C2/m
12        F2/m
12        I112/m
12        I2/m
13        C112/b
13        P112/a
13        P112/b
13        P112/n
13        P2/a
13        P2/c
13        P2/c11
13        P2/n
14        B21/a
14        B21/c
14        B21/d
14        P1121/a
14        P1121/b
14        P1121/n
14        P21/a
14        P21/b11
14        P21/c
14        P21/c11
14        P21/n
14        P21/n11
15        A112/a
15        A2/a
15        A2/n
15        B1121/b
15        B112/b
15        B112/n
15        C2/c11
15        C2/c
15        C2/n
15        F2/d
15        I112/a
15        I112/b
15        I2/a
15        I2/c
15        I2/n
15        I21/a
15        I21/c
16        P222
17        P2122
17        P2212
17        P2221
18        P21212
18        P21221
18        P22121
19        P212121
20        A2122
20        B2212
20        C212121
20        C2221
21        A222
21        B222
21        C21212
21        C222
22        F212121
22        F222
23        I222
24        I212121
25        Pmm2
25        Pm2m
25        P2mm
26        Pb21m
26        Pcm21
26        Pmc21
26        Pm21b
26        P21am
26        P21ma
27        Pb2b
27        Pcc2
27        P2aa
28        Pbm2
28        Pc2m
28        Pma2
28        Pm2a
28        P2cm
28        P2mb
29        Pbc21
29        Pb21a
29        Pca21
29        Pc21b
29        P21ab
29        P21ca
30        Pb2n
30        Pcn2
30        Pnc2
30        Pn2b
30        P2an
30        P2na
31        Pmn21
31        Pm21n
31        Pnm21
31        Pn21m
31        P21mn
31        P21nm
32        Pba2
32        Pc2a
32        P2cb
33        Pbn21
33        Pc21n
33        Pna21
33        Pn21a
33        P21cn
33        P21nb
34        Pnn2
34        Pn2n
34        P2nn
35        A2mm
35        Bm2m
35        Cba2
35        Cmm2
36        A21am
36        A21ma
36        Bb21m
36        Bm21b
36        Cbn21
36        Ccm21
36        Cmc21
37        A2aa
37        Bb2b
37        Ccc2
37        Cnn2
38        Amm2
38        Am2m
38        Anc21
38        Bmm2
38        B2mm
38        Cm2m
38        C2mm
39        Abm2
39        Ab2m
39        Acc21
39        Bma2
39        B2am
39        Cm2a
39        C2ma
39        C2mb
40        Ama2
40        Am2a
40        Ann21
40        Bbm2
40        B2mb
40        Cc2m
40        C2cm
41        Aba2
41        Ab2a
41        Acn21
41        Ac2a
41        Bba2
41        B2ab
41        Cc2a
41        Cc2b
41        C2ca
41        C2cb
42        Fbc21
42        Fca21
42        Fmm2
42        Fm2m
42        Fnn2
42        F2mm
43        Fdd21
43        Fdd2
43        Fd2d
43        F2dd
44        Imm2
44        Im2m
44        Inn21
44        I2mm
45        Iba2
45        Ib2a
45        Icc21
45        Ic2a
45        I2aa
45        I2cb
46        Ibm2
46        Ib2m
46        Ima2
46        Im2a
46        Inc21
46        I2am
46        I2cm
46        I2ma
46        Pn2a
47        Pmmm
48        Pnnn
49        Pbmb
49        Pccm
49        Pmaa
50        Pban
50        Pcna
50        Pncb
51        Pbmm
51        Pcmm
51        Pmam
51        Pmcm
51        Pmma
51        Pmmb
52        Pbnn
52        Pcnn
52        Pnan
52        Pncn
52        Pnna
52        Pnnb
53        Pbmn
53        Pcnm
53        Pman
53        Pmna
53        Pncm
53        Pnmb
54        Pbaa
54        Pbab
54        Pbcb
54        Pcaa
54        Pcca
54        Pccb
55        Pbam
55        Pcma
55        Pmcb
56        Pbnb
56        Pccn
56        Pnaa
57        Pbcm
57        Pbma
57        Pcam
57        Pcmb
57        Pmab
57        Pmca
58        Pmnn
58        Pnmn
58        Pnnm
59        Pmmn
59        Pmnm
59        Pnmm
60        Pbcn
60        Pbna
60        Pcan
60        Pcnb
60        Pnab
60        Pnca
61        Pbca
61        Pcab
62        Pbnm
62        Pcmn
62        Pmcn
62        Pmnb
62        Pnam
62        Pnma
63        Amam
63        Amma
63        Bbmm
63        Bmmb
63        Cbnn
63        Ccmm
63        Cmcm
64        Abam
64        Abma
64        Acam
64        Bbam
64        Bbcm
64        Bmab
64        Cbnb
64        Ccma
64        Ccmb
64        Cmca
65        Ammm
65        Bmmm
65        Cban
65        Cmmm
66        Amaa
66        Bbmb
66        Cccm
66        Cnnn
67        Abmm
67        Bmam
67        Cbab
67        Cmma
68        Abaa
68        Bbab
68        Ccca
68        Cnnb
69        Fbca
69        Fcab
69        Fmmm
69        Fnnn
70        Fddd
71        Immm
71        Innn
72        Ibam
72        Ibma
72        Iccn
72        Imaa
72        Imcb
73        Ibca
73        Icab
74        Ibmm
74        Imam
74        Imcm
74        Imma
74        Innb
75        P4
76        P41
77        P42
78        P43
79        I4
80        I41
81        P-4
82        I-4
83        P4/m
84        P42/m
85        P4/n
86        P42/n
87        I4/m
88        I41/a
89        P422
90        P4212
91        P4122
92        C41221
92        P41212
93        P4222
94        P42212
95        P4322
96        P43212
97        I422
98        I4122
99        P4mm
100       P4bm
101       P42cm
102       P42nm
103       P4cc
104       P4nc
105       P42mc
106       P42bc
107       I4mm
108       I4cm
109       I41md
110       I41cd
111       P-42m
112       P-42c
113       P-421m
114       P-421c
115       P-4m2
116       P-4c2
117       P-4b2
118       P-4n2
119       I-4m2
120       I-4c2
121       I-42m
122       I-42d
123       P4/mmm
124       P4/mcc
125       P4/nbm
126       P4/nnc
127       P4/mbm
128       P4/mnc
129       P4/nmm
130       P4/ncc
131       P42/mmc
132       P42/mcm
133       P42/nbc
134       P42/nnm
135       P42/mbc
136       P42/mnm
137       P42/nmc
138       P42/ncm
139       I4/mmm
140       I4/mcm
141       I41/amd
142       I41/acd
143       P3
144       P31
145       P32
146       R3
146       R3r
147       P-3
148       R-3
148       R-3r
149       P312
150       P321
151       P3112
152       P3121
153       P3212
154       P3221
155       R32
155       R32r
156       P3m1
157       P31m
158       P3c1
159       P31c
160       R3m
160       R3mr
161       R3c
161       R3cr
162       P-31m
163       P-31c
164       P-3m1
165       P-3c1
166       R-3mr
166       R-3m
167       R-3cr
167       R-3c
168       P6
169       P61
170       P65
171       P62
172       P64
173       P63
174       P-6
175       P6/m
176       P63/m
177       P622
178       P6122
179       P6522
180       P6222
181       P6422
182       P6322
183       P6mm
184       P6cc
185       P63cm
186       P63mc
187       P-6m2
188       P-6c2
189       P-62m
190       P-62c
191       P6/mmm
192       P6/mcc
193       P63/mcm
194       P63/mmc
195       P23
196       F23
197       I23
198       P213
199       I213
200       Pm3
201       Pn3
202       Fm3
203       Fd3
204       Im3
205       Pa3
205       Pb3
206       Ia3
207       P432
208       P4232
209       F432
210       F4132
211       I432
212       P4332
213       P4132
214       I4132
215       P-43m
216       F-43m
217       I-43m
218       P-43n
219       F-43c
220       I-43d
221       Pm3m
222       Pn3n
223       Pm3n
224       Pn3m
225       Fm3m
226       Fm3c
227       Fd3m
228       Fd3c
229       Im3m
230       Ia3d
502       P*
510       P*/*
511       P21/*
512       A*/*
512       C*/*
512       I*/*
513       P*/a
513       P*/c
513       P*/n
515       A*/a
515       C*/c
515       I*/a
547       P***
549       P*aa
549       Pb*b
549       Pcc*
551       P**a
551       P**b
551       P*a*
551       P*c*
551       Pb**
551       Pc**
553       P*an
553       P*na
553       Pb*n
553       Pcn*
553       Pn*b
553       Pnc*
555       P*cb
555       Pba*
555       Pc*a
557       P*ab
557       P*ca
557       Pb*a
557       Pbc*
557       Pc*b
557       Pca*
558       P*nn
558       Pn*n
558       Pnn*
559       P**n
559       P*n*
559       Pn**
562       P*cn
562       P*nb
562       Pbn*
562       Pc*n
562       Pn*a
562       Pna*
563       A**a
563       A*a*
563       B**b
563       Bb**
563       C*c*
563       Cc**
564       Ab*a
564       Aba*
564       B*ab
564       Bba*
564       C*ca
564       Cc*a
565       A***
565       B***
565       C***
566       A*aa
566       Bb*b
566       Ccc*
567       Ab**
567       B*a*
567       C**a
569       F***
571       I***
571       Im**
572       I*aa
572       Ib*a
572       Iba*
574       I**a
574       I*a*
574       Ib**
576       P41,3
583       P4/*
584       P42/*
587       I4/*
591       P41,322
592       P41,3212
613       P421*
622       I4*d
623       P4/***
624       P4/*cc
627       P4/*b*
628       P4/*nc
631       P4/**c
632       P4/*c*
635       P4/*bc
636       P4/*n*
639       I4/***
640       I4/*c*
644       P31,2
647       P*,-3
648       R*
651       P31,212
652       P31,221
662       P31*
663       P*1c,-3m
664       P3*1
665       P*c1,-3m
666       R**
667       R*c
669       P61,5
671       P62,4
675       P6/*
676       P63/*
678       P61,522
680       P62,422
691       P6/***
692       P6/*cc
693       P6/*c*
694       P6/**c
700       P*3
702       F*3
704       I*3
712       P41,332
721       P*3*
723       P*3n
725       F*3*
726       F*3c
729       I*3*


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