### Names of 3-dimensional space groups Web resources: - "A Hypertext Book of Crystallographic Space Group Diagrams and Tables" Birkbeck College, University of London [http://img.chem.ucl.ac.uk/sgp/mainmenu.htm](http://img.chem.ucl.ac.uk/sgp/mainmenu.htm) - NRL Crystal Lattice Structures [2](https://web.archive.org/web/20060626162213/http://cst-www.nrl.navy.mil:80/lattice/spcgrp/index.html) - Three-Dimensional Space Groups from Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay [https://stevedutch.net/symmetry/3dspacegrps/3dspgrp.htm](https://stevedutch.net/symmetry/3dspacegrps/3dspgrp.htm) - REPRES, Space Group Irreducible Representations [http://www.cryst.ehu.es/cgi-bin/cryst/programs/nph-repres](http://www.cryst.ehu.es/cgi-bin/cryst/programs/nph-repres) For many of the space groups there are multiple choices of symmetry transformations. They are denoted as settings for each of the groups. By default, the code will use the first setting. By defining `setting ` on the symmetry input line (see [Symmetry Group Input](SYMMETRY----Symmetry-Group-Input) paragraph), you can tell the code to choose a different setting/symmetry transformation. #### Triclinic space groups (group numbers: 1-2) [`P1`](P1)` `[`P-1`](P-1) #### Monoclinic space groups (group numbers: 3-15) ` `[`P2`](P2)` `[`P2_1`](P2_1)` `[`C2`](C2)` ` [`Pm`](Pm)` `[`Pc`](Pc)` `[`Cm`](Cm)` `[`Cc`](Cc)` `[`P2/m`](P2Sm)` ` [`P2_1/m`](P2_1Sm)` `[`C2/m`](C2Sm)` `[`P2/c`](P2Sc)` `[`P2_1/c`](P2_1Sc)` `[`C2/c`](C2Sc) #### Orthorhombic space groups (group numbers: 16-74) [`P222`](P222)` `[`P222_1`](P222_1)` `[`P2_12_12`](P2_12_12)` `[`P2_12_12_1`](P2_12_12_1)` `[`C222_1`](C222_1) [`C222`](C222)` `[`F222`](F222)` `[`I222`](I222)` `[`I2_12_12_1`](I2_12_12_1)` `[`Pmm2`](Pmm2) [`Pmc2_1`](Pmc2_1)` `[`Pcc2`](Pcc2)` `[`Pma2`](Pma2)` `[`Pca2_1`](Pca2_1)` `[`Pnc2`](Pnc2) [`Pmn2_1`](Pmn2_1)` `[`Pba2`](Pba2)` `[`Pna2_1`](Pna2_1)` `[`Pnn2`](Pnn2)` `[`Cmm2`](Cmm2) [`Cmc2_1`](Cmc2_1)` `[`Ccc2`](Ccc2)` `[`Amm2`](Amm2)` `[`Abm2`](Abm2)` `[`Ama2`](Ama2) [`Aba2`](Aba2)` `[`Fmm2`](Fmm2)` `[`Fdd2`](Fdd2)` `[`Imm2`](Imm2)` `[`Iba2`](Iba2) [`Ima2`](Ima2)` `[`Pmmm`](Pmmm)` `[`Pnnn`](Pnnn)` `[`Pccm`](Pccm)` `[`Pban`](Pban) [`Pmma`](Pmma)` `[`Pnna`](Pnna)` `[`Pmna`](Pmna)` `[`Pcca`](Pcca)` `[`Pbam`](Pbam) [`Pccn`](Pccn)` `[`Pbcm`](Pbcm)` `[`Pnnm`](Pnnm)` `[`Pmmn`](Pmmn)` `[`Pbcn`](Pbcn) [`Pbca`](Pbca)` `[`Pnma`](Pnma)` `[`Cmcm`](Cmcm)` `[`Cmca`](Cmca)` `[`Cmmm`](Cmmm) [`Cccm`](Cccm)` `[`Cmma`](Cmma)` `[`Ccca`](Ccca)` `[`Fmmm`](Fmmm)` `[`Fddd`](Fddd) [`Immm`](Immm)` `[`Ibam`](Ibam)` `[`Ibca`](Ibca)` `[`Imma`](Imma) #### Tetragonal space groups (group numbers: 75-142) ` `[`P4`](P4) [`P4_1`](P4_1)` `[`P4_2`](P4_2)` `[`P4_3`](P4_3)` `[`I4`](I4)` `[`I4_1`](I4_1) [`P-4`](P-4)` `[`I-4`](I-4)` `[`P4/m`](P4Sm)` `[`P4_2/m`](P4_2Sm)` `[`P4/n`](P4Sn) [`P4_2/n`](P4_2Sn)` `[`I4/m`](I4Sm)` `[`I4_1/a`](I4_1Sa)` `[`P422`](P422)` `[`P42_12`](P42_12) [`P4_122`](P4_122)` `[`P4_12_12`](P4_12_12)` `[`P4_222`](P4_222)` `[`P4_22_12`](P4_22_12)` `[`P4_322`](P4_322) [`P4_32_12`](P4_32_12)` `[`I422`](I422)` `[`I4_122`](I4_122)` `[`P4mm`](P4mm)` `[`P4bm`](P4bm) [`P4_2cm`](P4_2cm)` `[`P4_2nm`](P4_2nm)` `[`P4cc`](P4cc)` `[`P4nc`](P4nc)` `[`P4_2mc`](P4_2mc) [`P4_2bc`](P4_2bc)` `[`I4mm`](I4mm)` `[`I4cm`](I4cm)` `[`I4_1md`](I4_1md)` `[`I4_1cd`](I4_1cd) [`P-42m`](P-42m)` `[`P-42c`](P-42c)` `[`P-42_1m`](P-42_1m)` `[`P-42_1c`](P-42_1c)` `[`P-4m2`](P-4m2) [`P-4c2`](P-4c2)` `[`P-4b2`](P-4b2)` `[`P-4n2`](P-4n2)` `[`I-4m2`](I-4m2)` `[`I-4c2`](I-4c2) [`I-42m`](I-42m)` `[`I-42d`](I-42d)` `[`P4/mmm`](P4Smmm)` `[`P4/mcc`](P4Smcc)` `[`P4/nbm`](P4Snbm) [`P4/nnc`](P4Snnc)` `[`P4/mbm`](P4Smbm)` `[`P4/mnc`](P4Smnc)` `[`P4/nmm`](P4Snmm)` `[`P4/ncc`](P4Sncc) [`P4_2/mmc`](P4_2Smmc)` `[`P4_2/mcm`](P4_2Smcm)` `[`P4_2/nbc`](P4_2Snbc)` `[`P4_2/nnm`](P4_2Snnm)` `[`P4_2/mbc`](P4_2Smbc) [`P4_2/mnm`](P4_2Smnm)` `[`P4_2/nmc`](P4_2Snmc)` `[`P4_2/ncm`](P4_2Sncm)` `[`I4/mmm`](I4Smmm)` `[`I4/mcm`](I4Smcm) [`I4_1/amd`](I4_1Samd)` `[`I4_1/acd`](I4_1Sacd) #### Trigonal space groups (group numbers: 143-167) ` `[`P3`](P3)` `[`P3_1`](P3_1)` `[`P3_2`](P3_2) [`R3`](R3)` `[`P-3`](P-3)` `[`R-3`](R-3)` `[`P312`](P312)` `[`P321`](P321) [`P3_112`](P3_112)` `[`P3_121`](P3_121)` `[`P3_212`](P3_212)` `[`P3_221`](P3_221)` `[`R32`](R32) [`P3m1`](P3m1)` `[`P31m`](P31m)` `[`P3c1`](P3c1)` `[`P31c`](P31c)` `[`R3m`](R3m) [`R3c`](R3c)` `[`P-31m`](P-31m)` `[`P-31c`](P-31c)` `[`P-3m1`](P-3m1)` `[`P-3c1`](P-3c1) [`R-3m`](R-3m)` `[`R-3c`](R-3c) #### Hexagonal space groups (group numbers: 168-194) ` `[`P6`](P6)` `[`P6_1`](P6_1)` `[`P6_5`](P6_5) [`P6_2`](P6_2)` `[`P6_4`](P6_4)` `[`P6_3`](P6_3)` `[`P-6`](P-6)` `[`P6/m`](P6Sm) [`P6_3/m`](P6_3Sm)` `[`P622`](P622)` `[`P6_122`](P6_122)` `[`P6_522`](P6_522)` `[`P6_222`](P6_222) [`P6_422`](P6_422)` `[`P6_322`](P6_322)` `[`P6mm`](P6mm)` `[`P6cc`](P6cc)` `[`P6_3cm`](P6_3cm) [`P6_3mc`](P6_3mc)` `[`P-6m2`](P-6m2)` `[`P-6c2`](P-6c2)` `[`P-62m`](P-62m)` `[`P-62c`](P-62c) [`P6/mmm`](P6Smmm)` `[`P6/mcc`](P6Smcc)` `[`P6_3/mcm`](P6_3Smcm)` `[`P6_3/mmc`](P6_3Smmc) #### Cubic space groups (group numbers: 195-230) ` `[`P23`](P23) [`F23`](F23)` `[`I23`](I23)` `[`P2_13`](P2_13)` `[`I2_13`](I2_13)` `[`Pm-3`](Pm-3) [`Pn-3`](Pn-3)` `[`Fm-3`](Fm-3)` `[`Fd-3`](Fd-3)` `[`Im-3`](Im-3)` `[`Pa-3`](Pa-3) [`Ia-3`](Ia-3)` `[`P432`](P432)` `[`P4_232`](P4_232)` `[`F432`](F432)` `[`F4_132`](F4_132) [`I432`](I432)` `[`P4_332`](P4_332)` `[`P4_132`](P4_132)` `[`I4_132`](I4_132)` `[`P-43m`](P-43m) [`F-43m`](F-43m)` `[`I-43m`](I-43m)` `[`P-43n`](P-43n)` `[`F-43c`](F-43c)` `[`I-43d`](I-43d) [`Pm-3m`](Pm-3m)` `[`Pn-3n`](Pn-3n)` `[`Pm-3n`](Pm-3n)` `[`Pn-3m`](Pn-3m)` `[`Fm-3m`](Fm-3m) [`Fm-3c`](Fm-3c)` `[`Fd-3m`](Fd-3m)` `[`Fd-3c`](Fd-3c)` `[`Im-3m`](Im-3m)` `[`Ia-3d`](Ia-3d)