Triclinic (1-2)
| Coxeter
|
Space group
|
| [∞+,2,∞+,2,∞+] |
(1) P1
|
Monoclinic (3-15)
| Coxeter
|
Space group
|
| [(∞,2,∞)+,2,∞+] |
(3) P2
|
| [∞+,2,∞+,2,∞] |
(6) Pm
|
| [(∞,2,∞)+,2,∞] |
(10) P2/m
|
Orthorhombic (16-74)
File:CDel node.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node.png
| Coxeter
|
Space group
|
| [∞,2,∞,2,∞]+ |
(16) P222
|
| [[∞,2,∞,2,∞]]+ |
(23) I222
|
| [∞+,2,∞,2,∞] |
(25) Pmm2
|
| [∞,2,∞,2,∞] |
(47) Pmmm
|
| [[∞,2,∞,2,∞]] |
(71) Immm
|
| [∞+,2,∞+,2,∞+] |
|
| [∞,2,∞,2+,∞] |
|
| [∞,2+,∞,2+,∞] |
|
|
Tetragonal (75-142)
File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node.png
| Coxeter
|
Space group
|
| [(4,4)+,2,∞+] |
(75) P4
|
| [2+[(4,4)+,2,∞+]] |
(79) I4
|
| [(4,4)+,2,∞] |
(83) P4/m
|
| [2+[(4,4)+,2,∞]] |
(87) I4/m
|
| [4,4,2,∞]+ |
(89) P422
|
| [2+[4,4,2,∞]]+ |
(97) I422
|
| [4,4,2,∞+] |
(99) P4mm
|
| [4,4,2,∞] |
(123) P4/mmm
|
| [2+[4,4,2,∞]] |
(139) I4/mmm
|
| [4,(4,2)+,∞] |
(140) I4/mcm
|
| [4,4,2+,∞] |
|
| [(4,4)+,2+,∞] |
|
| [4,4,2+,∞+] |
|
| [(4,4)+,2+,∞+] |
|
| [4+,4+,2+,∞] |
|
| [4,4+,2,∞] |
|
| [4,4+,2+,∞] |
|
| [((4,2+,4)),2,∞] |
|
| [4,4+,2,∞+] |
|
| [4,4+,2+,∞+] |
|
| [((4,2+,4)),2,∞+] |
|
|
Trigonal (143-167), rhombohedral
| Coxeter
|
Space group
|
Hexagonal (168-194)
File:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 2.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node.png
| [(6,3)+,2,∞+] |
(168) P6
|
| [(6,3)+,2,∞] |
(175) P6/m
|
| [6,3,2,∞]+ |
(177) P622
|
| [6,3,2,∞+] |
(183) P6mm
|
| [6,3,2,∞] |
(191) P6/mmm
|
| [(3[3])+,2,∞+] |
|
| [3[3],2,∞] |
|
| [6,3+,2,∞] |
|
| [6,3+,2,∞+] |
|
| [3[3],2,∞]+ |
|
| [3[3],2,∞+] |
|
| [(3[3])+,2,∞] |
|
|
Cubic (195-230)
| Group
|
Coxeter
|
Space group
|
Index
|
| [[4,3,4]]
|
[[4,3,4]] |
(229) ImTemplate:Overlinem |
1
|
| [[4,3,4]]+ |
(211) I432 |
2
|
| [[4,3,4]+] |
(223) PmTemplate:Overlinen |
2
|
| [[4,3+,4]] |
(204) ITemplate:Overline |
2
|
| [[(4,3,4,2+)]] |
(217) ITemplate:Overline3m |
2
|
| [[4,3+,4]]+ |
(197) I23 |
4
|
| [[4,3,4]+]+ |
(208) P4232 |
4
|
| [[4,3+,4)]+] |
(201) PnTemplate:Overline3 |
4
|
| [[(4,3,4,2+)]+] |
(218) PTemplate:Overline3n |
4
|
[4,3,4]
File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png
|
[4,3,4] |
(221) PmTemplate:Overlinem |
2
|
| [4,3,4]+ |
(207) P432 |
4
|
| [4,3+,4] |
(200) PmTemplate:Overline |
4
|
| [4,(3,4)+] |
(226) FmTemplate:Overlinec |
4
|
| [(4,3,4,2+)] |
(215) PTemplate:Overline3m |
4
|
| [[{4,(3}+,4)+]] |
(228) FdTemplate:Overlinec |
4
|
| [4,3+,4]+ |
(195) P23 |
8
|
| [{4,(3}+,4)+] |
(219) FTemplate:Overline3c |
8
|
[4,31,1]
File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes.png
File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node h0.png
|
[4,31,1] |
(225) FmTemplate:Overlinem |
4
|
| [4,(31,1)+] |
(202) FmTemplate:Overline |
8
|
| [4,31,1]+ |
(209) F432 |
8
|
[[3[4]]]
File:CDel branch.pngFile:CDel 3ab.pngFile:CDel branch.png
|
| [(4+,2+)[3[4]]] |
(222) PnTemplate:Overlinen |
2
|
| [[3[4]]] |
(227) FdTemplate:Overlinem |
4
|
| [[3[4]]]+ |
(203) FdTemplate:Overline |
8
|
| [[3[4]]+] |
(210) F4132 |
8
|
[3[4]]
File:CDel branch.pngFile:CDel 3ab.pngFile:CDel branch.png
File:CDel node h0.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node h0.png
|
[3[4]] |
(216) FTemplate:Overline3m |
8
|
| [3[4]]+ |
(196) F23 |
16
|
|
