Plantilla:List space groups Coxeter notation

Grupos de rango cuatro como grupos espaciales tridimensionales
Triclínico (1-2)
Coxeter Grupo espacial
[∞+,2,∞+,2,∞+] (1) P1
Monoclínico (3-15)
Coxeter Grupo espacial
[(∞,2,∞)+,2,∞+] (3) P2
[∞+,2,∞+,2,∞] (6) Pm
[(∞,2,∞)+,2,∞] (10) P2/m
Ortorrómbico (16-74)
Coxeter Grupo espacial
[∞,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)
Coxeter Grupo espacial
[(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), romboedral
Coxeter Grupo espacial
Hexagonal (168-194)
[(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,∞]
Cúbico (195-230)
Group Coxeter Grupo espacial Índice
[[4,3,4]] [[4,3,4]] (229) Im3m 1
[[4,3,4]]+ (211) I432 2
[[4,3,4]+] (223) Pm3n 2
[[4,3+,4]] (204) I3 2
[[(4,3,4,2+)]] (217) I43m 2
[[4,3+,4]]+ (197) I23 4
[[4,3,4]+]+ (208) P4232 4
[[4,3+,4)]+] (201) Pn43 4
[[(4,3,4,2+)]+] (218) P43n 4
[4,3,4]
[4,3,4] (221) Pm3m 2
[4,3,4]+ (207) P432 4
[4,3+,4] (200) Pm3 4
[4,(3,4)+] (226) Fm3c 4
[(4,3,4,2+)] (215) P43m 4
[[{4,(3}+,4)+]] (228) Fd3c 4
[4,3+,4]+ (195) P23 8
[{4,(3}+,4)+] (219) F43c 8
[4,31,1]

[4,31,1] (225) Fm3m 4
[4,(31,1)+] (202) Fm3 8
[4,31,1]+ (209) F432 8
[[3[4]]]
[(4+,2+)[3[4]]] (222) Pn3n 2
[[3[4]]] (227) Fd3m 4
[[3[4]]]+ (203) Fd3 8
[[3[4]]+] (210) F4132 8
[3[4]]

[3[4]] (216) F43m 8
[3[4]]+ (196) F23 16