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Space Group Symbols and Corresponding Space Group Numbers

Here you go with a useful table for all of us who get lost with crystallography...

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

And let's be honnest, I did not type this in, I copied this table from the page http://mmae.iit.edu/~ning/spacegroup.html. It's gone now, lucky I had a copy!
 

Sebastien Merkel, 05/2005
10/2005: removed dead link.
 

© Sébastien Merkel, Université de Lille, France

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