Space Group Diagrams and Tables
(A few examples)
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Triclinic | ||||
---|---|---|---|---|
(For the enlarged unit cells, click here) | ||||
1. P 1 | 2. P -1 | |||
Monoclinic | ||||
(For a fuller list with alternative unique axes, origins, or enlarged unit cells click here) | ||||
3. P 1 2 1 | 4. P 1 21 1 | 5. C 1 2 1 | 6. P 1 m 1 | 7. P 1 c 1 |
8. C 1 m 1 | 9. C 1 c 1 | 10. P 1 2 / m 1 | 11. P 1 21 / m 1 | 12. C 1 2 / m 1 |
13. P 1 2 / c 1 | 14. P 1 21 / c 1 | 15. C 1 2 / c 1 | ||
Orthorhombic | ||||
(For a fuller list with alternative axes and origins click here) | ||||
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 | |
Tetragonal | ||||
(For the enlarged C- and F-centred unit cells, click here) | ||||
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 | ||
Trigonal | ||||
(For the R-centred cells with hexagonal axes and the larger H-centred trigonal cells, click here) | ||||
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 |
Hexagonal | ||||
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 | |||
Cubic | ||||
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 |