International
Tables for
Crystallography
Volume G
Definition and exchange of crystallographic data
Edited by J. R. Hester and B. McMahon

International Tables for Crystallography (2026). Vol. G. Early view chapter
https://doi.org/10.1107/97809553602060001011

Chapter 4.2 Core dictionary (coreCIF)


Index

Core dictionary version 3.3.0

_space_group.name_H-M_ref

Name:
_space_group.name_H-M_ref

Definition:

   
    The short international Hermann-Mauguin space-group symbol as
    defined in Section 2.1.3.3 and given as the first item of each
    space-group table in Chapter 2.3 of International Tables
    for Crystallography Volume A (2016).

    Each component of the space-group name is separated by a
    space character. Subscripts appear without special symbols.
    Bars are given as negative signs before the numbers to which
    they apply.

    The short international Hermann-Mauguin symbol determines
    the space-group type uniquely. However, the space-group
    type is better described using _space_group.IT_number or
    _space_group.name_Schoenflies. The short international
    Hermann-Mauguin symbol contains no information on the
    choice of basis or origin. To define the setting uniquely
    use _space_group.name_Hall, or list the symmetry operations
    or generators.

    _space_group.name_H-M_alt may be used to give the
    Hermann-Mauguin symbol corresponding to the setting used.

    In the enumeration list, each possible value is identified by
    space-group number and Schoenflies symbol.

    Reference: International Tables for Crystallography (2016). Volume A,
     Space-group symmetry, edited by M. I. Aroyo, 6th ed.
     Chichester: John Wiley & Sons.

Type: Text


The data value must be one of the following:


'P 1'
1 C1.1

'P -1'
2 Ci.1

'P 2'
3 C2.1

'P 21'
4 C2.2

'C 2'
5 C2.3

'P m'
6 Cs.1

'P c'
7 Cs.2

'C m'
8 Cs.3

'C c'
9 Cs.4

'P 2/m'
10 C2h.1

'P 21/m'
11 C2h.2

'C 2/m'
12 C2h.3

'P 2/c'
13 C2h.4

'P 21/c'
14 C2h.5

'C 2/c'
15 C2h.6

'P 2 2 2'
16 D2.1

'P 2 2 21'
17 D2.2

'P 21 21 2'
18 D2.3

'P 21 21 21'
19 D2.4

'C 2 2 21'
20 D2.5

'C 2 2 2'
21 D2.6

'F 2 2 2'
22 D2.7

'I 2 2 2'
23 D2.8

'I 21 21 21'
24 D2.9

'P m m 2'
25 C2v.1

'P m c 21'
26 C2v.2

'P c c 2'
27 C2v.3

'P m a 2'
28 C2v.4

'P c a 21'
29 C2v.5

'P n c 2'
30 C2v.6

'P m n 21'
31 C2v.7

'P b a 2'
32 C2v.8

'P n a 21'
33 C2v.9

'P n n 2'
34 C2v.10

'C m m 2'
35 C2v.11

'C m c 21'
36 C2v.12

'C c c 2'
37 C2v.13

'A m m 2'
38 C2v.14

'A e m 2'
39 C2v.15

'A m a 2'
40 C2v.16

'A e a 2'
41 C2v.17

'F m m 2'
42 C2v.18

'F d d 2'
43 C2v.19

'I m m 2'
44 C2v.20

'I b a 2'
45 C2v.21

'I m a 2'
46 C2v.22

'P m m m'
47 D2h.1

'P n n n'
48 D2h.2

'P c c m'
49 D2h.3

'P b a n'
50 D2h.4

'P m m a'
51 D2h.5

'P n n a'
52 D2h.6

'P m n a'
53 D2h.7

'P c c a'
54 D2h.8

'P b a m'
55 D2h.9

'P c c n'
56 D2h.10

'P b c m'
57 D2h.11

'P n n m'
58 D2h.12

'P m m n'
59 D2h.13

'P b c n'
60 D2h.14

'P b c a'
61 D2h.15

'P n m a'
62 D2h.16

'C m c m'
63 D2h.17

'C m c e'
64 D2h.18

'C m m m'
65 D2h.19

'C c c m'
66 D2h.20

'C m m e'
67 D2h.21

'C c c e'
68 D2h.22

'F m m m'
69 D2h.23

'F d d d'
70 D2h.24

'I m m m'
71 D2h.25

'I b a m'
72 D2h.26

'I b c a'
73 D2h.27

'I m m a'
74 D2h.28

'P 4'
75 C4.1

'P 41'
76 C4.2

'P 42'
77 C4.3

'P 43'
78 C4.4

'I 4'
79 C4.5

'I 41'
80 C4.6

'P -4'
81 S4.1

'I -4'
82 S4.2

'P 4/m'
83 C4h.1

'P 42/m'
84 C4h.2

'P 4/n'
85 C4h.3

'P 42/n'
86 C4h.4

'I 4/m'
87 C4h.5

'I 41/a'
88 C4h.6

'P 4 2 2'
89 D4.1

'P 4 21 2'
90 D4.2

'P 41 2 2'
91 D4.3

'P 41 21 2'
92 D4.4

'P 42 2 2'
93 D4.5

'P 42 21 2'
94 D4.6

'P 43 2 2'
95 D4.7

'P 43 21 2'
96 D4.8

'I 4 2 2'
97 D4.9

'I 41 2 2'
98 D4.10

'P 4 m m'
99 C4v.1

'P 4 b m'
100 C4v.2

'P 42 c m'
101 C4v.3

'P 42 n m'
102 C4v.4

'P 4 c c'
103 C4v.5

'P 4 n c'
104 C4v.6

'P 42 m c'
105 C4v.7

'P 42 b c'
106 C4v.8

'I 4 m m'
107 C4v.9

'I 4 c m'
108 C4v.10

'I 41 m d'
109 C4v.11

'I 41 c d'
110 C4v.12

'P -4 2 m'
111 D2d.1

'P -4 2 c'
112 D2d.2

'P -4 21 m'
113 D2d.3

'P -4 21 c'
114 D2d.4

'P -4 m 2'
115 D2d.5

'P -4 c 2'
116 D2d.6

'P -4 b 2'
117 D2d.7

'P -4 n 2'
118 D2d.8

'I -4 m 2'
119 D2d.9

'I -4 c 2'
120 D2d.10

'I -4 2 m'
121 D2d.11

'I -4 2 d'
122 D2d.12

'P 4/m m m'
123 D4h.1

'P 4/m c c'
124 D4h.2

'P 4/n b m'
125 D4h.3

'P 4/n n c'
126 D4h.4

'P 4/m b m'
127 D4h.5

'P 4/m n c'
128 D4h.6

'P 4/n m m'
129 D4h.7

'P 4/n c c'
130 D4h.8

'P 42/m m c'
131 D4h.9

'P 42/m c m'
132 D4h.10

'P 42/n b c'
133 D4h.11

'P 42/n n m'
134 D4h.12

'P 42/m b c'
135 D4h.13

'P 42/m n m'
136 D4h.14

'P 42/n m c'
137 D4h.15

'P 42/n c m'
138 D4h.16

'I 4/m m m'
139 D4h.17

'I 4/m c m'
140 D4h.18

'I 41/a m d'
141 D4h.19

'I 41/a c d'
142 D4h.20

'P 3'
143 C3.1

'P 31'
144 C3.2

'P 32'
145 C3.3

'R 3'
146 C3.4

'P -3'
147 C3i.1

'R -3'
148 C3i.2

'P 3 1 2'
149 D3.1

'P 3 2 1'
150 D3.2

'P 31 1 2'
151 D3.3

'P 31 2 1'
152 D3.4

'P 32 1 2'
153 D3.5

'P 32 2 1'
154 D3.6

'R 3 2'
155 D3.7

'P 3 m 1'
156 C3v.1

'P 3 1 m'
157 C3v.2

'P 3 c 1'
158 C3v.3

'P 3 1 c'
159 C3v.4

'R 3 m'
160 C3v.5

'R 3 c'
161 C3v.6

'P -3 1 m'
162 D3d.1

'P -3 1 c'
163 D3d.2

'P -3 m 1'
164 D3d.3

'P -3 c 1'
165 D3d.4

'R -3 m'
166 D3d.5

'R -3 c'
167 D3d.6

'P 6'
168 C6.1

'P 61'
169 C6.2

'P 65'
170 C6.3

'P 62'
171 C6.4

'P 64'
172 C6.5

'P 63'
173 C6.6

'P -6'
174 C3h.1

'P 6/m '
175 C6h.1

'P 63/m'
176 C6h.2

'P 6 2 2'
177 D6.1

'P 61 2 2'
178 D6.2

'P 65 2 2'
179 D6.3

'P 62 2 2'
180 D6.4

'P 64 2 2'
181 D6.5

'P 63 2 2'
182 D6.6

'P 6 m m'
183 C6v.1

'P 6 c c'
184 C6v.2

'P 63 c m'
185 C6v.3

'P 63 m c'
186 C6v.4

'P -6 m 2'
187 D3h.1

'P -6 c 2'
188 D3h.2

'P -6 2 m'
189 D3h.3

'P -6 2 c'
190 D3h.4

'P 6/m m m'
191 D6h.1

'P 6/m c c'
192 D6h.2

'P 63/m c m'
193 D6h.3

'P 63/m m c'
194 D6h.4

'P 2 3'
195 T.1

'F 2 3'
196 T.2

'I 2 3'
197 T.3

'P 21 3'
198 T.4

'I 21 3'
199 T.5

'P m -3'
200 Th.1

'P n -3'
201 Th.2

'F m -3'
202 Th.3

'F d -3'
203 Th.4

'I m -3'
204 Th.5

'P a -3'
205 Th.6

'I a -3'
206 Th.7

'P 4 3 2'
207 O.1

'P 42 3 2'
208 O.2

'F 4 3 2'
209 O.3

'F 41 3 2'
210 O.4

'I 4 3 2'
211 O.5

'P 43 3 2'
212 O.6

'P 41 3 2'
213 O.7

'I 41 3 2'
214 O.8

'P -4 3 m'
215 Td.1

'F -4 3 m'
216 Td.2

'I -4 3 m'
217 Td.3

'P -4 3 n'
218 Td.4

'F -4 3 c'
219 Td.5

'I -4 3 d'
220 Td.6

'P m -3 m'
221 Oh.1

'P n -3 n'
222 Oh.2

'P m -3 n'
223 Oh.3

'P n -3 m'
224 Oh.4

'F m -3 m'
225 Oh.5

'F m -3 c'
226 Oh.6

'F d -3 m'
227 Oh.7

'F d -3 c'
228 Oh.8

'I m -3 m'
229 Oh.9

'I a -3 d'
230 Oh.10

Category:
space_group








































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