Wikidata:WikiProject Mineralogy/Crystallography


Symmetry in generalEdit

Symmetry type treeEdit

Symmetry treeEdit

Amorphous solidsEdit

QuasicrystalsEdit

  • quasicrystal (Q263214)
    • Icosahedrite (IMA2010-042):
      • H-M symbol: 5 3m
      • Space group: Fm 3 5
    • Decagonite (IMA2015-017):
      • Space group: P10₅/mmc

Triclinic okEdit

Monoclinic okEdit

Orthorhombic okEdit

Tetragonal okEdit

Trigonal okEdit

Hexagonal okEdit

Cubic okEdit

TableEdit

en:Space_group#Table_of_space_groups_in_3_dimensions


[[Q899033|space group (Q899033)]] [[Q899720|point group (Q899720)]]
(crystal class)
[[Q898786|crystal system (Q898786)]] Space group short symbol
1 pedial [[Q376927|triclinic crystal system (Q376927)]] P1
2 pinacoidal [[Q376927|triclinic crystal system (Q376927)]] P1-
3 spenoidic [[Q624543|monoclinic crystal system (Q624543)]] P2
4 spenoidic [[Q624543|monoclinic crystal system (Q624543)]] P21
5 spenoidic [[Q624543|monoclinic crystal system (Q624543)]] B2 or C2
6 domatic [[Q624543|monoclinic crystal system (Q624543)]] Pm
7 domatic [[Q624543|monoclinic crystal system (Q624543)]] Pb or Pc
8 domatic [[Q624543|monoclinic crystal system (Q624543)]] Bm or Cm
9 domatic [[Q624543|monoclinic crystal system (Q624543)]] Bb or Cc
10 prismatic [[Q624543|monoclinic crystal system (Q624543)]] P2/m
11 prismatic [[Q624543|monoclinic crystal system (Q624543)]] P21/m
12 prismatic [[Q624543|monoclinic crystal system (Q624543)]] B2/m or C2/m
13 prismatic [[Q624543|monoclinic crystal system (Q624543)]] P2/b or P2/c
14 prismatic [[Q624543|monoclinic crystal system (Q624543)]] P21/b or P21/c
15 prismatic [[Q624543|monoclinic crystal system (Q624543)]] B2/b or C2/c
16 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] P222
17 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] P2221
18 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] P21212
19 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] P212121
20 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] C2221
21 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] C222
22 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] F222
23 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] I222
24 sphenoidal [[Q648961|orthorhombic crystal system (Q648961)]] I212121
25 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmm2
26 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmc21
27 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pcc2
28 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pma2
29 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pca21
30 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pnc2
31 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmn21
32 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pba2
33 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pna21
34 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pnn2
35 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cmm2
36 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cmc21
37 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Ccc2
38 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Amm2
39 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Abm2
40 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Ama2
41 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Aba2
42 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Fmm2
43 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Fdd2
44 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Imm2
45 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Iba2
46 pyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Ima2
47 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmmm
48 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pnnn
49 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pccm
50 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pban
51 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmma
52 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pnna
53 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmna
54 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pcca
55 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pbam
56 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pccn
57 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pbcm
58 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pnnm
59 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pmmm
60 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pbcn
61 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pbca
62 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Pnma
63 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cmcm
64 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cmca
65 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cmmm
66 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cccm
67 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Cmma
68 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Ccca
69 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Fmmm
70 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Fddd
71 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Immm
72 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Ibam
73 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Ibca
74 bipyramidal [[Q648961|orthorhombic crystal system (Q648961)]] Imma
75 tetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4
76 tetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P41
77 tetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42
78 tetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P43
79 tetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] I4
80 tetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] I41
81 tetragonal-disphenoidal [[Q503601|tetragonal crystal system (Q503601)]] P-4
82 tetragonal-disphenoidal [[Q503601|tetragonal crystal system (Q503601)]] I-4
83 tetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/m
84 tetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/m
85 tetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/n
86 tetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/n
87 tetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] I4/m
88 tetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] I41/a
89 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P422
90 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P4212
91 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P4122
92 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P41212
93 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P4222
94 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P42212
95 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P4322
96 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] P43212
97 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] I422
98 tetragonal-trapezohedral [[Q503601|tetragonal crystal system (Q503601)]] I4122
99 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4mm
100 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4bm
101 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42cm
102 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42nm
103 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4cc
104 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4nc
105 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42mc
106 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42bc
107 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] I4mm
108 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] I4cm
109 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] I41md
110 ditetragonal-pyramidal [[Q503601|tetragonal crystal system (Q503601)]] I41cd
111 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-42m
112 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-42c
113 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-421m
114 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-421c
115 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-4m2
116 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-4c2
117 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-4b2
118 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] P-4n2
119 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] I-4m2
120 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] I-4c2
121 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] I-42m
122 tetragonal-scalenohedral [[Q503601|tetragonal crystal system (Q503601)]] I-42d
123 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/mmm
124 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/mcc
125 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/nbm
126 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/nnc
127 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/mbm
128 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/mnc
129 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/nmm
130 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P4/ncc
131 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/mmc
132 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/mcm
133 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/nbc
134 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/nnm
135 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/mbc
136 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/mnm
137 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/nmc
138 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] P42/ncm
139 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] I4/mmm
140 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] I4/mcm
141 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] I41/amd
142 ditetragonal-dipyramidal [[Q503601|tetragonal crystal system (Q503601)]] I41/acd
143 trigonal-pyramidal [[Q588274|trigonal crystal system (Q588274)]] P3
144 trigonal-pyramidal [[Q588274|trigonal crystal system (Q588274)]] P31
145 trigonal-pyramidal [[Q588274|trigonal crystal system (Q588274)]] P32
146 trigonal-pyramidal [[Q588274|trigonal crystal system (Q588274)]] R3
147 trigonal-rhombohedral [[Q588274|trigonal crystal system (Q588274)]] P-3
148 trigonal-rhombohedral [[Q588274|trigonal crystal system (Q588274)]] R-3
149 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] P312
150 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] P321
151 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] P3112
152 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] P3121
153 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] P3212
154 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] P3221
155 trigonal-trapezoidal [[Q588274|trigonal crystal system (Q588274)]] R32
156 ditrigonal pyramidal [[Q588274|trigonal crystal system (Q588274)]] P3m1
157 ditrigonal pyramidal [[Q588274|trigonal crystal system (Q588274)]] P31m
158 ditrigonal pyramidal [[Q588274|trigonal crystal system (Q588274)]] P3c1
159 ditrigonal pyramidal [[Q588274|trigonal crystal system (Q588274)]] P31c
160 ditrigonal pyramidal [[Q588274|trigonal crystal system (Q588274)]] R3m
161 ditrigonal pyramidal [[Q588274|trigonal crystal system (Q588274)]] R3c
162 ditrigonal scalahedral [[Q588274|trigonal crystal system (Q588274)]] P-31m
163 ditrigonal scalahedral [[Q588274|trigonal crystal system (Q588274)]] P-31c
164 ditrigonal scalahedral [[Q588274|trigonal crystal system (Q588274)]] P-3m1
165 ditrigonal scalahedral [[Q588274|trigonal crystal system (Q588274)]] P-3c1
166 ditrigonal scalahedral [[Q588274|trigonal crystal system (Q588274)]] R-3m
167 ditrigonal scalahedral [[Q588274|trigonal crystal system (Q588274)]] R-3c
168 hexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P6
169 hexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P61
170 hexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P65
171 hexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P62
172 hexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P64
173 hexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P63
174 trigonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P-6
175 hexagonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P6/m
176 hexagonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P63/m
177 hexagonal-trapezoidal [[Q663314|hexagonal crystal system (Q663314)]] P622
178 hexagonal-trapezoidal [[Q663314|hexagonal crystal system (Q663314)]] P6122
179 hexagonal-trapezoidal [[Q663314|hexagonal crystal system (Q663314)]] P6522
180 hexagonal-trapezoidal [[Q663314|hexagonal crystal system (Q663314)]] P6222
181 hexagonal-trapezoidal [[Q663314|hexagonal crystal system (Q663314)]] P6422
182 hexagonal-trapezoidal [[Q663314|hexagonal crystal system (Q663314)]] P6322
183 dihexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P6mm
184 dihexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P6cc
185 dihexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P63cm
186 dihexagonal-pyramidal [[Q663314|hexagonal crystal system (Q663314)]] P63mc
187 ditrigonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P-6m2
188 ditrigonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P-6c2
189 ditrigonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P-62m
190 ditrigonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P-62c
191 dihexagonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P6/mmm
192 dihexagonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P6/mcc
193 dihexagonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P63/mcm
194 dihexagonal-dipyramidal [[Q663314|hexagonal crystal system (Q663314)]] P63/mmc
195 tetartoidal [[Q473227|cubic crystal system (Q473227)]] P23
196 tetartoidal [[Q473227|cubic crystal system (Q473227)]] F23
197 tetartoidal [[Q473227|cubic crystal system (Q473227)]] I23
198 tetartoidal [[Q473227|cubic crystal system (Q473227)]] P213
199 tetartoidal [[Q473227|cubic crystal system (Q473227)]] I213
200 diploidal [[Q473227|cubic crystal system (Q473227)]] Pm3
201 diploidal [[Q473227|cubic crystal system (Q473227)]] Pn3
202 diploidal [[Q473227|cubic crystal system (Q473227)]] Fm3
203 diploidal [[Q473227|cubic crystal system (Q473227)]] Fd3
204 diploidal [[Q473227|cubic crystal system (Q473227)]] Im3
205 diploidal [[Q473227|cubic crystal system (Q473227)]] Pa3
206 diploidal [[Q473227|cubic crystal system (Q473227)]] Ia3
207 gyroidal [[Q473227|cubic crystal system (Q473227)]] P432
208 gyroidal [[Q473227|cubic crystal system (Q473227)]] P4232
209 gyroidal [[Q473227|cubic crystal system (Q473227)]] F432
210 gyroidal [[Q473227|cubic crystal system (Q473227)]] F4132
211 gyroidal [[Q473227|cubic crystal system (Q473227)]] I432
212 gyroidal [[Q473227|cubic crystal system (Q473227)]] P4332
213 gyroidal [[Q473227|cubic crystal system (Q473227)]] P4132
214 gyroidal [[Q473227|cubic crystal system (Q473227)]] I4132
215 hextetrahedral [[Q473227|cubic crystal system (Q473227)]] I-43m
216 hextetrahedral [[Q473227|cubic crystal system (Q473227)]] F-43m
217 hextetrahedral [[Q473227|cubic crystal system (Q473227)]] F-43m
218 hextetrahedral [[Q473227|cubic crystal system (Q473227)]] P-43n
219 hextetrahedral [[Q473227|cubic crystal system (Q473227)]] F-43c
220 hextetrahedral [[Q473227|cubic crystal system (Q473227)]] I-43d
221 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Pm3m
222 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Pn3n
223 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Pm3n
224 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Pn3m
225 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Fm3m
226 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Fm3c
227 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Fd3m
228 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Fd3c
229 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Im3m
230 hexoctahedral [[Q473227|cubic crystal system (Q473227)]] Ia3d