User:Tomruen/Space groups

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Source: [1]

[edit] 230 types of groups of space

Class # triclinic crystal system
1 1 P1  
\bar1 2 P\bar1  
    monoclinic crystal system
Simple monoclinicCentered monoclinic
2 3-5 P2 P21 C2  
m 6-9 Pm Pc Cm Cc  
2/m 10-15 P2/m P21/m C2/m P2/c P21/c C2/c  
    orthorhombic crystal system
Orthohombic, simpleOrthohombic, base-centeredOrthohombic, body-centeredOrthohombic, face-centered
222 16-24 P222 P2221 P21212 P212121 C2221 C222 F222 I222
I212121  
mm2 25-46 Pmm2 Pmc21 Pcc2 Pma2 Pca21 Pnc2 Pmn21 Pba2
Pn21 Pnn2 Cmm2 Cmc21 Ccc2 Amm2 Aem2 Ama2
Aea2 Fmm2 Fdd2 Imm2 Iba2 Ima2  
mmm 47-74 Pmmm Pnnn Pccm Pban Pmma Pnna Pmna Pcca
Pbam Pccn Pbcm Pnnm Pmmn Pbcn Pbca Pnma
Cmcm Cmce Cmmm Cccm Cmme Ccce Fmmm Fddd
Immm Ibam Ibca Imma  
    tetragonal crystal system
Simple tetragonalBody-centered tetragonal
4 75-80 P4 P41 P42 P43 I4 I41  
\bar4 81-82 P\bar4 I\bar4  
4/m 83-88 P4/m P42/m P4/n P42/n I4/m I41/a  
422 89-98 P422 P4212 P4122 P41212 P4222 P42212 P4322 P43212
I422 I4122  
4mm 99-110 P4mm P4bm P42cm P42nm P4cc P4nc P42mc P42bc
I4mm I4cm I41md I41cd  
\bar42m 111-122 P\bar42m P\bar42c P\bar421m P\bar421c P\bar4m2 P\bar4c2 P\bar4b2 P\bar4n2
I\bar4m2 I\bar4c2 I\bar42m I\bar42d  
4/mmm 123-142 P4/mmm P4/mmc P4/nbm P4/nnc P4/mbm P4/nnc P4/nmm P4/ncc
P42/mmc P42/mcm P42/nbc P42/nnm P42/mbc P42/mnm P42/nmc P42/ncm
I4/mmm I4/mcm I41/amd I41/acd
    trigonal crystal system
3 143-146 P3 P31 P32 R3  
\bar3 147-148 P\bar3 R\bar3  
32 149-155 P312 P321 P3112 P3121 P3212 P3221 R32  
3m 156-161 P3m1 P31m P3c1 P31c R3m R3c  
\bar3m 162-167 P\bar31m P\bar31c P\bar3m1 P\bar3c1 R\bar3m R\bar3c  
    hexagonal crystal system
6 168-173 P6 P61 P65 P62 P64 P63  
\bar6 174 P\bar6  
6/m 175-176 P6/m P63/m  
622 177-182 P622 P6122 P6522 P6222 P6422 P6322  
6mm 183-186 P6mm P6cc P63cm P63mc  
\bar6m2 187-190 P\bar6m2 P\bar6c2 P\bar62m P\bar62c  
6/mmm 191-194 P6/mmm P6/mcc P63/mcm P63/mmc  
    cubic crystal system
Simple cubicBody-centered cubicFace-centered cubic
23 195-199 P23 F23 I23 P213 I213  
m\bar3 200-206 Pm\bar3 Pn\bar3 Fm\bar3 Fd\bar3 I\bar3 Pa\bar3 Ia\bar3  
432 207-214 P432 P4232 F432 F4132 I432 P4332 P4132 I4132
\bar43m 215-220 P\bar43m F\bar43m I\bar43m P\bar43n F\bar43c I\bar43d  
m\bar3m 221-230 Pm\bar3m Pn\bar3n Pm\bar3n Pn\bar3m Fm\bar3m Fm\bar3c Fd\bar3m Fd\bar3c
Im\bar3m Ia\bar3d