Space Group Symbols and Corresponding Space
Group Numbers
| 1 |
P 1 |
2 |
P -1 |
3 |
P 2 |
4 |
P 21 |
5 |
C 2 |
| 6 |
P m |
7 |
P c |
8 |
C m |
9 |
C c |
10 |
P 2/m |
| 11 |
P 21/m |
12 |
C 2/m |
13 |
P 2/c |
14 |
P 21/c |
15 |
C 2/c |
| 16 |
P 2 2 2 |
17 |
P 2 2 21 |
18 |
P 21 21
2 |
19 |
P 21 21
21 |
20 |
C 2 2 21 |
| 21 |
C 2 2 2 |
22 |
F 2 2 2 |
23 |
I 2 2 2 |
24 |
I 21 21
21 |
25 |
P m m 2 |
| 26 |
P m c 21 |
27 |
P c c 2 |
28 |
P m a 2 |
29 |
P c a 21 |
30 |
P n c 2 |
| 31 |
P m n 21 |
32 |
P b a 2 |
33 |
P n a 21 |
34 |
P n n 2 |
35 |
C m m 2 |
| 36 |
C m c 21 |
37 |
C c c 2 |
38 |
A m m 2 |
39 |
A b m 2 |
40 |
A m a 2 |
| 41 |
A b a 2 |
42 |
F m m 2 |
43 |
F d d 2 |
44 |
I m m 2 |
45 |
I b a 2 |
| 46 |
I m a 2 |
47 |
P m m m |
48 |
P n n n |
49 |
P c c m |
50 |
P b a n |
| 51 |
P m m a |
52 |
P n n a |
53 |
P m n a |
54 |
P c c a |
55 |
P b a m |
| 56 |
P c c n |
57 |
P b c m |
58 |
P n n m |
59 |
P m m n |
60 |
P b c n |
| 61 |
P b c a |
62 |
P n m a |
63 |
C m c m |
64 |
C m c a |
65 |
C m m m |
| 66 |
C c c m |
67 |
C m m a |
68 |
C c c a |
69 |
F m m m |
70 |
F d d d |
| 71 |
I m m m |
72 |
I b a m |
73 |
I b c a |
74 |
I m m a |
75 |
P 4 |
| 76 |
P 41 |
77 |
P 42 |
78 |
P 43 |
79 |
I 4 |
80 |
I 41 |
| 81 |
P -4 |
82 |
I -4 |
83 |
P 4/m |
84 |
P 42/m |
85 |
P 4/n |
| 86 |
P 42/n |
87 |
I 4/m |
88 |
I 41/a |
89 |
P 4 2 2 |
90 |
P 4 21 2 |
| 91 |
P 41 2 2 |
92 |
P 41 21
2 |
93 |
P 42 2 2 |
94 |
P 42 21
2 |
95 |
P 43 2 2 |
| 96 |
P 43 21
2 |
97 |
I 4 2 2 |
98 |
I 41 2 2 |
99 |
P 4 m m |
100 |
P 4 b m |
| 101 |
P 42 c m |
102 |
P 42 n m |
103 |
P 4 c c |
104 |
P 4 n c |
105 |
P 42 m c |
| 106 |
P 42 b c |
107 |
I 4 m m |
108 |
I 4 c m |
109 |
I 41 m d |
110 |
I 41 c d |
| 111 |
P -4 2 m |
112 |
P -4 2 c |
113 |
P -4 21 m |
114 |
P -4 21 c |
115 |
P -4 m 2 |
| 116 |
P -4 c 2 |
117 |
P -4 b 2 |
118 |
P -4 n 2 |
119 |
I -4 m 2 |
120 |
I -4 c 2 |
| 121 |
I -4 2 m |
122 |
I -4 2 d |
123 |
P 4/m m m |
124 |
P 4/m c c |
125 |
P 4/n b m |
| 126 |
P 4/n n c |
127 |
P 4/m b m |
128 |
P 4/m n c |
129 |
P 4/n m m |
130 |
P 4/n c c |
| 131 |
P 42/m m c |
132 |
P 42/m c m |
133 |
P 42/n b c |
134 |
P 42/n n m |
135 |
P 42/m b c |
| 136 |
P 42/m n m |
137 |
P 42/n m c |
138 |
P 42/n c m |
139 |
I 4/m m m |
140 |
I 4/m c m |
| 141 |
I 41/a m d |
142 |
I 41/a c d |
143 |
P 3 |
144 |
P 31 |
145 |
P 32 |
| 146 |
R 3 |
147 |
P -3 |
148 |
R -3 |
149 |
P 3 1 2 |
150 |
P 3 2 1 |
| 151 |
P 31 1 2 |
152 |
P 31 2 1 |
153 |
P 32 1 2 |
154 |
P 32 2 1 |
155 |
R 3 2 |
| 156 |
P 3 m 1 |
157 |
P 3 1 m |
158 |
P 3 c 1 |
159 |
P 3 1 c |
160 |
R 3 m |
| 161 |
R 3 c |
162 |
P -3 1 m |
163 |
P -3 1 c |
164 |
P -3 m 1 |
165 |
P -3 c 1 |
| 166 |
R -3 m |
167 |
R -3 c |
168 |
P 6 |
169 |
P 61 |
170 |
P 65 |
| 171 |
P 62 |
172 |
P 64 |
173 |
P 63 |
174 |
P -6 |
175 |
P 6/m |
| 176 |
P 63/m |
177 |
P 6 2 2 |
178 |
P 61 2 2 |
179 |
P 65 2 2 |
180 |
P 62 2 2 |
| 181 |
P 64 2 2 |
182 |
P 63 2 2 |
183 |
P 6 m m |
184 |
P 6 c c |
185 |
P 63 c m |
| 186 |
P 63 m c |
187 |
P -6 m 2 |
188 |
P -6 c 2 |
189 |
P -6 2 m |
190 |
P -6 2 c |
| 191 |
P 6/m m m |
192 |
P 6/m c c |
193 |
P 63/m c m |
194 |
P 63/m m c |
195 |
P 2 3 |
| 196 |
F 2 3 |
197 |
I 2 3 |
198 |
P 21 3 |
199 |
I 21 3 |
200 |
P m -3 |
| 201 |
P n -3 |
202 |
F m -3 |
203 |
F d -3 |
204 |
I m -3 |
205 |
P a -3 |
| 206 |
I a -3 |
207 |
P 4 3 2 |
208 |
P 42 3 2 |
209 |
F 4 3 2 |
210 |
F 41 3 2 |
| 211 |
I 4 3 2 |
212 |
P 43 3 2 |
213 |
P 41 3 2 |
214 |
I 41 3 2 |
215 |
P -4 3 m |
| 216 |
F -4 3 m |
217 |
I -4 3 m |
218 |
P -4 3 n |
219 |
F -4 3 c |
220 |
I -4 3 d |
| 221 |
P m -3 m |
222 |
P n -3 n |
223 |
P m -3 n |
224 |
P n -3 m |
225 |
F m -3 m |
| 226 |
F m -3 c |
227 |
F d -3 m |
228 |
F d -3 c |
229 |
I m -3 m |
230 |
I a -3 d |