Seznam prostorových grup

Existuje 230 prostorových grup ve třech rozměrech, které jsou označeny číselným indexem, plným jménem v Hermann-Mauguinově značení a krátkým názvem (mezinárodní symbol). Dlouhé názvy jsou uvedeny s mezerami pro čitelnost. Každá grupa má bodovou grupu elementární buňky.

Seznam prostorových grup trojklonné soustavy

Trojklonná bravaisova mřížka

Trojklonná krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno	Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Fibrifoldovo značení
1	1	$1$	P1	P 1	$\Gamma _{t}C_{1}^{1}$	1s	$(a/b/c)\cdot 1$	$(\circ )$
2	1	$\times$	P1	P 1	$\Gamma _{t}C_{i}^{1}$	2s	$(a/b/c)\cdot {\tilde {2}}$	$(2222)$

Seznam prostorových grup jednoklonné soustavy

Jednoklonná bravaisova mřížka

Primitivní (P)	Bazicky centrovaná (C)

Jednoklonná krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno		Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Fibrifoldovo značení (primární)	Fibrifoldovo značení (sekundární)
3	2	$22$	P2	P 1 2 1	P 1 1 2	$\Gamma _{m}C_{2}^{1}$	3s	$(b:(c/a)):2$	$(2_{0}2_{0}2_{0}2_{0})$	$({*}_{0}{*}_{0})$
4			P21	P 1 21 1	P 1 1 21	$\Gamma _{m}C_{2}^{2}$	1a	$(b:(c/a)):2_{1}$	$(2_{1}2_{1}2_{1}2_{1})$	$({\bar {\times }}{\bar {\times }})$
5			C2	C 1 2 1	B 1 1 2	$\Gamma _{m}^{b}C_{2}^{3}$	4s	$\left({\tfrac {a+b}{2}}/b:(c/a)\right):2$	$(2_{0}2_{0}2_{1}2_{1})$	$({*}_{1}{*}_{1})$, $({*}{\bar {\times }})$
6	m	$*$	Pm	P 1 m 1	P 1 1 m	$\Gamma _{m}C_{s}^{1}$	5s	$(b:(c/a))\cdot m$	$[\circ _{0}]$	$({*}{\cdot }{*}{\cdot })$
7			Pc	P 1 c 1	P 1 1 b	$\Gamma _{m}C_{s}^{2}$	1h	$(b:(c/a))\cdot {\tilde {c}}$	$({\bar {\circ }}_{0})$	$({*}{:}{*}{:})$, $({\times }{\times }_{0})$
8			Cm	C 1 m 1	B 1 1 m	$\Gamma _{m}^{b}C_{s}^{3}$	6s	$\left({\tfrac {a+b}{2}}/b:(c/a)\right)\cdot m$	$[\circ _{1}]$	$({*}{\cdot }{*}{:})$, $({*}{\cdot }{\times })$
9			Cc	C 1 c 1	B 1 1 b	$\Gamma _{m}^{b}C_{s}^{4}$	2h	$\left({\tfrac {a+b}{2}}/b:(c/a)\right)\cdot {\tilde {c}}$	$({\bar {\circ }}_{1})$	$({*}{:}{\times })$, $({\times }{\times }_{1})$
10	2/m	$2*$	P2/m	P 1 2/m 1	P 1 1 2/m	$\Gamma _{m}C_{2h}^{1}$	7s	$(b:(c/a))\cdot m:2$	$[2_{0}2_{0}2_{0}2_{0}]$	$[*2{\cdot }22{\cdot }2)$
11			P21/m	P 1 21/m 1	P 1 1 21/m	$\Gamma _{m}C_{2h}^{2}$	2a	$(b:(c/a))\cdot m:2_{1}$	$[2_{1}2_{1}2_{1}2_{1}]$	$(22{*}{\cdot })$
12			C2/m	C 1 2/m 1	B 1 1 2/m	$\Gamma _{m}^{b}C_{2h}^{3}$	8s	$\left({\tfrac {a+b}{2}}/b:(c/a)\right)\cdot m:2$	$[2_{0}2_{0}2_{1}2_{1}]$	$(*2{\cdot }22{:}2)$, $(2{\bar {*}}2{\cdot }2)$
13			P2/c	P 1 2/c 1	P 1 1 2/b	$\Gamma _{m}C_{2h}^{4}$	3h	$(b:(c/a))\cdot {\tilde {c}}:2$	$(2_{0}2_{0}22)$	$(*2{:}22{:}2)$, $(22{*}_{0})$
14			P21/c	P 1 21/c 1	P 1 1 21/b	$\Gamma _{m}C_{2h}^{5}$	3a	$(b:(c/a))\cdot {\tilde {c}}:2_{1}$	$(2_{1}2_{1}22)$	$(22{*}{:})$, $(22{\times })$
15			C2/c	C 1 2/c 1	B 1 1 2/b	$\Gamma _{m}^{b}C_{2h}^{6}$	4h	$\left({\tfrac {a+b}{2}}/b:(c/a)\right)\cdot {\tilde {c}}:2$	$(2_{0}2_{1}22)$	$(2{\bar {*}}2{:}2)$, $(22{*}_{1})$

Seznam prostorových grup kosočtverečných soustav

Kosočtverečná bravaisova mřížka

Primitivní (P)	Prostorově centrovaná (I)	Plošně centrovaná (F)	Bazicky centrovaná (A or C)

Kosočtverečná krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno	Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Fibrifoldovo značení (primární)	Fibrifoldovo značení (sekundární)
16	222	$222$	P222	P 2 2 2	$\Gamma _{o}D_{2}^{1}$	9s	$(c:a:b):2:2$	$(*2_{0}2_{0}2_{0}2_{0})$
17			P2221	P 2 2 21	$\Gamma _{o}D_{2}^{2}$	4a	$(c:a:b):2_{1}:2$	$(*2_{1}2_{1}2_{1}2_{1})$	$(2_{0}2_{0}{*})$
18			P21212	P 21 21 2	$\Gamma _{o}D_{2}^{3}$	7a	$(c:a:b):2$ $2_{1}$	$(2_{0}2_{0}{\bar {\times }})$	$(2_{1}2_{1}{*})$
19			P212121	P 21 21 21	$\Gamma _{o}D_{2}^{4}$	8a	$(c:a:b):2_{1}$ $2_{1}$	$(2_{1}2_{1}{\bar {\times }})$
20			C2221	C 2 2 21	$\Gamma _{o}^{b}D_{2}^{5}$	5a	$\left({\tfrac {a+b}{2}}:c:a:b\right):2_{1}:2$	$(2_{1}{*}2_{1}2_{1})$	$(2_{0}2_{1}{*})$
21			C222	C 2 2 2	$\Gamma _{o}^{b}D_{2}^{6}$	10s	$\left({\tfrac {a+b}{2}}:c:a:b\right):2:2$	$(2_{0}{*}2_{0}2_{0})$	$(*2_{0}2_{0}2_{1}2_{1})$
22			F222	F 2 2 2	$\Gamma _{o}^{f}D_{2}^{7}$	12s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right):2:2$	$(*2_{0}2_{1}2_{0}2_{1})$
23			I222	I 2 2 2	$\Gamma _{o}^{v}D_{2}^{8}$	11s	$\left({\tfrac {a+b+c}{2}}/c:a:b\right):2:2$	$(2_{1}{*}2_{0}2_{0})$
24			I212121	I 21 21 21	$\Gamma _{o}^{v}D_{2}^{9}$	6a	$\left({\tfrac {a+b+c}{2}}/c:a:b\right):2:2_{1}$	$(2_{0}{*}2_{1}2_{1})$
25	mm2	$*22$	Pmm2	P m m 2	$\Gamma _{o}C_{2v}^{1}$	13s	$(c:a:b):m\cdot 2$	$(*{\cdot }2{\cdot }2{\cdot }2{\cdot }2)$	$[{*}_{0}{\cdot }{*}_{0}{\cdot }]$
26			Pmc21	P m c 21	$\Gamma _{o}C_{2v}^{2}$	9a	$(c:a:b):{\tilde {c}}\cdot 2_{1}$	$(*{\cdot }2{:}2{\cdot }2{:}2)$	$({\bar {*}}{\cdot }{\bar {*}}{\cdot })$, $[{\times _{0}}{\times _{0}}]$
27			Pcc2	P c c 2	$\Gamma _{o}C_{2v}^{3}$	5h	$(c:a:b):{\tilde {c}}\cdot 2$	$(*{:}2{:}2{:}2{:}2)$	$({\bar {*}}_{0}{\bar {*}}_{0})$
28			Pma2	P m a 2	$\Gamma _{o}C_{2v}^{4}$	6h	$(c:a:b):{\tilde {a}}\cdot 2$	$(2_{0}2_{0}{*}{\cdot })$	$[{*}_{0}{:}{*}_{0}{:}]$, $(*{\cdot }{*}_{0})$
29			Pca21	P c a 21	$\Gamma _{o}C_{2v}^{5}$	11a	$(c:a:b):{\tilde {a}}\cdot 2_{1}$	$(2_{1}2_{1}{*}{:})$	$({\bar {*}}{:}{\bar {*}}{:})$
30			Pnc2	P n c 2	$\Gamma _{o}C_{2v}^{6}$	7h	$(c:a:b):{\tilde {c}}\odot 2$	$(2_{0}2_{0}{*}{:})$	$({\bar {*}}_{1}{\bar {*}}_{1})$, $({*}_{0}{\times }_{0})$
31			Pmn21	P m n 21	$\Gamma _{o}C_{2v}^{7}$	10a	$(c:a:b):{\widetilde {ac}}\cdot 2_{1}$	$(2_{1}2_{1}{*}{\cdot })$	$(*{\cdot }{\bar {\times }})$, $[{\times }_{0}{\times }_{1}]$
32			Pba2	P b a 2	$\Gamma _{o}C_{2v}^{8}$	9h	$(c:a:b):{\tilde {a}}\odot 2$	$(2_{0}2_{0}{\times }_{0})$	$(*{:}{*}_{0})$
33			Pna21	P n a 21	$\Gamma _{o}C_{2v}^{9}$	12a	$(c:a:b):{\tilde {a}}\odot 2_{1}$	$(2_{1}2_{1}{\times })$	$(*{:}{\times })$, $({\times }{\times }_{1})$
34			Pnn2	P n n 2	$\Gamma _{o}C_{2v}^{10}$	8h	$(c:a:b):{\widetilde {ac}}\odot 2$	$(2_{0}2_{0}{\times }_{1})$	$(*_{0}{\times }_{1})$
35			Cmm2	C m m 2	$\Gamma _{o}^{b}C_{2v}^{11}$	14s	$\left({\tfrac {a+b}{2}}:c:a:b\right):m\cdot 2$	$(2_{0}{*}{\cdot }2{\cdot }2)$	$[*_{0}{\cdot }{*}_{0}{:}]$
36			Cmc21	C m c 21	$\Gamma _{o}^{b}C_{2v}^{12}$	13a	$\left({\tfrac {a+b}{2}}:c:a:b\right):{\tilde {c}}\cdot 2_{1}$	$(2_{1}{*}{\cdot }2{:}2)$	$({\bar {*}}{\cdot }{\bar {*}}{:})$, $[{\times }_{1}{\times }_{1}]$
37			Ccc2	C c c 2	$\Gamma _{o}^{b}C_{2v}^{13}$	10h	$\left({\tfrac {a+b}{2}}:c:a:b\right):{\tilde {c}}\cdot 2$	$(2_{0}{*}{:}2{:}2)$	$({\bar {*}}_{0}{\bar {*}}_{1})$
38			Amm2	A m m 2	$\Gamma _{o}^{b}C_{2v}^{14}$	15s	$\left({\tfrac {b+c}{2}}/c:a:b\right):m\cdot 2$	$(*{\cdot }2{\cdot }2{\cdot }2{:}2)$	$[{*}_{1}{\cdot }{*}_{1}{\cdot }]$, $[*{\cdot }{\times }_{0}]$
39			Aem2	A b m 2	$\Gamma _{o}^{b}C_{2v}^{15}$	11h	$\left({\tfrac {b+c}{2}}/c:a:b\right):m\cdot 2_{1}$	$(*{\cdot }2{:}2{:}2{:}2)$	$[{*}_{1}{:}{*}_{1}{:}]$, $({\bar {*}}{\cdot }{\bar {*}}_{0})$
40			Ama2	A m a 2	$\Gamma _{o}^{b}C_{2v}^{16}$	12h	$\left({\tfrac {b+c}{2}}/c:a:b\right):{\tilde {a}}\cdot 2$	$(2_{0}2_{1}{*}{\cdot })$	$(*{\cdot }{*}_{1})$, $[*{:}{\times }_{1}]$
41			Aea2	A b a 2	$\Gamma _{o}^{b}C_{2v}^{17}$	13h	$\left({\tfrac {b+c}{2}}/c:a:b\right):{\tilde {a}}\cdot 2_{1}$	$(2_{0}2_{1}{*}{:})$	$(*{:}{*}_{1})$, $({\bar {*}}{:}{\bar {*}}_{1})$
42			Fmm2	F m m 2	$\Gamma _{o}^{f}C_{2v}^{18}$	17s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right):m\cdot 2$	$(*{\cdot }2{\cdot }2{:}2{:}2)$	$[{*}_{1}{\cdot }{*}_{1}{:}]$
43			Fdd2	F dd2	$\Gamma _{o}^{f}C_{2v}^{19}$	16h	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right):{\tfrac {1}{2}}{\widetilde {ac}}\odot 2$	$(2_{0}2_{1}{\times })$	$({*}_{1}{\times })$
44			Imm2	I m m 2	$\Gamma _{o}^{v}C_{2v}^{20}$	16s	$\left({\tfrac {a+b+c}{2}}/c:a:b\right):m\cdot 2$	$(2_{1}{*}{\cdot }2{\cdot }2)$	$[*{\cdot }{\times }_{1}]$
45			Iba2	I b a 2	$\Gamma _{o}^{v}C_{2v}^{21}$	15h	$\left({\tfrac {a+b+c}{2}}/c:a:b\right):{\tilde {c}}\cdot 2$	$(2_{1}{*}{:}2{:}2)$	$({\bar {*}}{:}{\bar {*}}_{0})$
46			Ima2	I m a 2	$\Gamma _{o}^{v}C_{2v}^{22}$	14h	$\left({\tfrac {a+b+c}{2}}/c:a:b\right):{\tilde {a}}\cdot 2$	$(2_{0}{*}{\cdot }2{:}2)$	$({\bar {*}}{\cdot }{\bar {*}}_{1})$, $[*{:}{\times }_{0}]$
47	${\tfrac {2}{m}}{\tfrac {2}{m}}{\tfrac {2}{m}}$	$*222$	Pmmm	P 2/m 2/m 2/m	$\Gamma _{o}D_{2h}^{1}$	18s	$\left(c:a:b\right)\cdot m:2\cdot m$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]$
48			Pnnn	P 2/n 2/n 2/n	$\Gamma _{o}D_{2h}^{2}$	19h	$\left(c:a:b\right)\cdot {\widetilde {ab}}:2\odot {\widetilde {ac}}$	$(2{\bar {*}}_{1}2_{0}2_{0}$
49			Pccm	P 2/c 2/c 2/m	$\Gamma _{o}D_{2h}^{3}$	17h	$\left(c:a:b\right)\cdot m:2\cdot {\tilde {c}}$	$[*{:}2{:}2{:}2{:}2]$	$(*2_{0}2_{0}2{\cdot }2)$
50			Pban	P 2/b 2/a 2/n	$\Gamma _{o}D_{2h}^{4}$	18h	$\left(c:a:b\right)\cdot {\widetilde {ab}}:2\odot {\tilde {a}}$	$(2{\bar {*}}_{0}2_{0}2_{0})$	$(*2_{0}2_{0}2{:}2)$
51			Pmma	P 21/m 2/m 2/a	$\Gamma _{o}D_{2h}^{5}$	14a	$\left(c:a:b\right)\cdot {\tilde {a}}:2\cdot m$	$[2_{0}2_{0}{*}{\cdot }]$	$[*{\cdot }2{:}2{\cdot }2{:}2]$, $[*2{\cdot }2{\cdot }2{\cdot }2]$
52			Pnna	P 2/n 21/n 2/a	$\Gamma _{o}D_{2h}^{6}$	17a	$\left(c:a:b\right)\cdot {\tilde {a}}:2\odot {\widetilde {ac}}$	$(2_{0}2{\bar {*}}_{1})$	$(2_{0}{*}2{:}2)$, $(2{\bar {*}}2_{1}2_{1})$
53			Pmna	P 2/m 2/n 21/a	$\Gamma _{o}D_{2h}^{7}$	15a	$\left(c:a:b\right)\cdot {\tilde {a}}:2_{1}\cdot {\widetilde {ac}}$	$[2_{0}2_{0}{*}{:}]$	$(*2_{1}2_{1}2{\cdot }2)$, $(2_{0}{*}2{\cdot }2)$
54			Pcca	P 21/c 2/c 2/a	$\Gamma _{o}D_{2h}^{8}$	16a	$\left(c:a:b\right)\cdot {\tilde {a}}:2\cdot {\tilde {c}}$	$(2_{0}2{\bar {*}}_{0})$	$(*2{:}2{:}2{:}2)$, $(*2_{1}2_{1}2{:}2)$
55			Pbam	P 21/b 21/a 2/m	$\Gamma _{o}D_{2h}^{9}$	22a	$\left(c:a:b\right)\cdot m:2\odot {\tilde {a}}$	$[2_{0}2_{0}{\times }_{0}]$	$(*2{\cdot }2{:}2{\cdot }2)$
56			Pccn	P 21/c 21/c 2/n	$\Gamma _{o}D_{2h}^{10}$	27a	$\left(c:a:b\right)\cdot {\widetilde {ab}}:2\cdot {\tilde {c}}$	$(2{\bar {*}}{:}2{:}2)$	$(2_{1}2{\bar {*}}_{0})$
57			Pbcm	P 2/b 21/c 21/m	$\Gamma _{o}D_{2h}^{11}$	23a	$\left(c:a:b\right)\cdot m:2_{1}\odot {\tilde {c}}$	$(2_{0}2{\bar {*}}{\cdot })$	$(*2{:}2{\cdot }2{:}2)$, $[2_{1}2_{1}{*}{:}]$
58			Pnnm	P 21/n 21/n 2/m	$\Gamma _{o}D_{2h}^{12}$	25a	$\left(c:a:b\right)\cdot m:2\odot {\widetilde {ac}}$	$[2_{0}2_{0}{\times }_{1}]$	$(2_{1}{*}2{\cdot }2)$
59			Pmmn	P 21/m 21/m 2/n	$\Gamma _{o}D_{2h}^{13}$	24a	$\left(c:a:b\right)\cdot {\widetilde {ab}}:2\cdot m$	$(2{\bar {*}}{\cdot }2{\cdot }2)$	$[2_{1}2_{1}{*}{\cdot }]$
60			Pbcn	P 21/b 2/c 21/n	$\Gamma _{o}D_{2h}^{14}$	26a	$\left(c:a:b\right)\cdot {\widetilde {ab}}:2_{1}\odot {\tilde {c}}$	$(2_{0}2{\bar {*}}{:})$	$(2_{1}{*}2{:}2)$, $(2_{1}2{\bar {*}}_{1})$
61			Pbca	P 21/b 21/c 21/a	$\Gamma _{o}D_{2h}^{15}$	29a	$\left(c:a:b\right)\cdot {\tilde {a}}:2_{1}\odot {\tilde {c}}$	$(2_{1}2{\bar {*}}{:})$
62			Pnma	P 21/n 21/m 21/a	$\Gamma _{o}D_{2h}^{16}$	28a	$\left(c:a:b\right)\cdot {\tilde {a}}:2_{1}\odot m$	$(2_{1}2{\bar {*}}{\cdot })$	$(2{\bar {*}}{\cdot }2{:}2)$, $[2_{1}2_{1}{\times }]$
63			Cmcm	C 2/m 2/c 21/m	$\Gamma _{o}^{b}D_{2h}^{17}$	18a	$\left({\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2_{1}\cdot {\tilde {c}}$	$[2_{0}2_{1}{*}{\cdot }]$	$(*2{\cdot }2{\cdot }2{:}2)$, $[2_{1}{*}{\cdot }2{:}2]$
64			Cmce	C 2/m 2/c 21/a	$\Gamma _{o}^{b}D_{2h}^{18}$	19a	$\left({\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tilde {a}}:2_{1}\cdot {\tilde {c}}$	$[2_{0}2_{1}{*}{:}]$	$(*2{\cdot }2{:}2{:}2)$, $(*2_{1}2{\cdot }2{:}2)$
65			Cmmm	C 2/m 2/m 2/m	$\Gamma _{o}^{b}D_{2h}^{19}$	19s	$\left({\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2\cdot m$	$[2_{0}{*}{\cdot }2{\cdot }2]$	$[*{\cdot }2{\cdot }2{\cdot }2{:}2]$
66			Cccm	C 2/c 2/c 2/m	$\Gamma _{o}^{b}D_{2h}^{20}$	20h	$\left({\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2\cdot {\tilde {c}}$	$[2_{0}{*}{:}2{:}2]$	$(*2_{0}2_{1}2{\cdot }2)$
67			Cmme	C 2/m 2/m 2/e	$\Gamma _{o}^{b}D_{2h}^{21}$	21h	$\left({\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tilde {a}}:2\cdot m$	$(*2_{0}2{\cdot }2{\cdot }2)$	$[*{\cdot }2{:}2{:}2{:}2]$
68			Ccce	C 2/c 2/c 2/e	$\Gamma _{o}^{b}D_{2h}^{22}$	22h	$\left({\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tilde {a}}:2\cdot {\tilde {c}}$	$(*2_{0}2{:}2{:}2)$	$(*2_{0}2_{1}2{:}2)$
69			Fmmm	F 2/m 2/m 2/m	$\Gamma _{o}^{f}D_{2h}^{23}$	21s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right)\cdot m:2\cdot m$	$[*{\cdot }2{\cdot }2{:}2{:}2]$
70			Fddd	F 2/d 2/d 2/d	$\Gamma _{o}^{f}D_{2h}^{24}$	24h	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:c:a:b\right)\cdot {\tfrac {1}{2}}{\widetilde {ab}}:2\odot {\tfrac {1}{2}}{\widetilde {ac}}$	$(2{\bar {*}}2_{0}2_{1})$
71			Immm	I 2/m 2/m 2/m	$\Gamma _{o}^{v}D_{2h}^{25}$	20s	$\left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot m:2\cdot m$	$[2_{1}{*}{\cdot }2{\cdot }2]$
72			Ibam	I 2/b 2/a 2/m	$\Gamma _{o}^{v}D_{2h}^{26}$	23h	$\left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot m:2\cdot {\tilde {c}}$	$[2_{1}{*}{:}2{:}2]$	$(*2_{0}2{\cdot }2{:}2)$
73			Ibca	I 2/b 2/c 2/a	$\Gamma _{o}^{v}D_{2h}^{27}$	21a	$\left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot {\tilde {a}}:2\cdot {\tilde {c}}$	$(*2_{1}2{:}2{:}2)$
74			Imma	I 2/m 2/m 2/a	$\Gamma _{o}^{v}D_{2h}^{28}$	20a	$\left({\tfrac {a+b+c}{2}}/c:a:b\right)\cdot {\tilde {a}}:2\cdot m$	$(*2_{1}2{\cdot }2{\cdot }2)$	$[2_{0}{*}{\cdot }2{:}2]$

Seznam prostorových grup čtverečných soustav

Čtverečná bravaisova mřížka

Primitivní (P)	Prostorově centrovaná (I)

Čtverečná krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno	Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Fibrifoldovo značení
75	4	$44$	P4	P 4	$\Gamma _{q}C_{4}^{1}$	22s	$(c:a:a):4$	$(4_{0}4_{0}2_{0})$
76			P41	P 41	$\Gamma _{q}C_{4}^{2}$	30a	$(c:a:a):4_{1}$	$(4_{1}4_{1}2_{1})$
77			P42	P 42	$\Gamma _{q}C_{4}^{3}$	33a	$(c:a:a):4_{2}$	$(4_{2}4_{2}2_{0})$
78			P43	P 43	$\Gamma _{q}C_{4}^{4}$	31a	$(c:a:a):4_{3}$	$(4_{1}4_{1}2_{1})$
79			I4	I 4	$\Gamma _{q}^{v}C_{4}^{5}$	23s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4$	$(4_{2}4_{0}2_{1})$
80			I41	I 41	$\Gamma _{q}^{v}C_{4}^{6}$	32a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4_{1}$	$(4_{3}4_{1}2_{0})$
81	4	$2\times$	P4	P 4	$\Gamma _{q}S_{4}^{1}$	26s	$(c:a:a):{\tilde {4}}$	$(442_{0})$
82			I4	I 4	$\Gamma _{q}^{v}S_{4}^{2}$	27s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):{\tilde {4}}$	$(442_{1})$
83	4/m	$4*$	P4/m	P 4/m	$\Gamma _{q}C_{4h}^{1}$	28s	$(c:a:a)\cdot m:4$	$[4_{0}4_{0}2_{0}]$
84			P42/m	P 42/m	$\Gamma _{q}C_{4h}^{2}$	41a	$(c:a:a)\cdot m:4_{2}$	$[4_{2}4_{2}2_{0}]$
85			P4/n	P 4/n	$\Gamma _{q}C_{4h}^{3}$	29h	$(c:a:a)\cdot {\widetilde {ab}}:4$	$(44_{0}2)$
86			P42/n	P 42/n	$\Gamma _{q}C_{4h}^{4}$	42a	$(c:a:a)\cdot {\widetilde {ab}}:4_{2}$	$(44_{2}2)$
87			I4/m	I 4/m	$\Gamma _{q}^{v}C_{4h}^{5}$	29s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right)\cdot m:4$	$[4_{2}4_{0}2_{1}]$
88			I41/a	I 41/a	$\Gamma _{q}^{v}C_{4h}^{6}$	40a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right)\cdot {\tilde {a}}:4_{1}$	$(44_{1}2)$
89	422	$224$	P422	P 4 2 2	$\Gamma _{q}D_{4}^{1}$	30s	$(c:a:a):4:2$	$(*4_{0}4_{0}2_{0})$
90			P4212	P4212	$\Gamma _{q}D_{4}^{2}$	43a	$(c:a:a):4$ $2_{1}$	$(4_{0}{*}2_{0})$
91			P4122	P 41 2 2	$\Gamma _{q}D_{4}^{3}$	44a	$(c:a:a):4_{1}:2$	$(*4_{1}4_{1}2_{1})$
92			P41212	P 41 21 2	$\Gamma _{q}D_{4}^{4}$	48a	$(c:a:a):4_{1}$ $2_{1}$	$(4_{1}{*}2_{1})$
93			P4222	P 42 2 2	$\Gamma _{q}D_{4}^{5}$	47a	$(c:a:a):4_{2}:2$	$(*4_{2}4_{2}2_{0})$
94			P42212	P 42 21 2	$\Gamma _{q}D_{4}^{6}$	50a	$(c:a:a):4_{2}$ $2_{1}$	$(4_{2}{*}2_{0})$
95			P4322	P 43 2 2	$\Gamma _{q}D_{4}^{7}$	45a	$(c:a:a):4_{3}:2$	$(*4_{1}4_{1}2_{1})$
96			P43212	P 43 21 2	$\Gamma _{q}D_{4}^{8}$	49a	$(c:a:a):4_{3}$ $2_{1}$	$(4_{1}{*}2_{1})$
97			I422	I 4 2 2	$\Gamma _{q}^{v}D_{4}^{9}$	31s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4:2$	$(*4_{2}4_{0}2_{1})$
98			I4122	I 41 2 2	$\Gamma _{q}^{v}D_{4}^{10}$	46a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4:2_{1}$	$(*4_{3}4_{1}2_{0})$
99	4mm	$*44$	P4mm	P 4 m m	$\Gamma _{q}C_{4v}^{1}$	24s	$(c:a:a):4\cdot m$	$(*{\cdot }4{\cdot }4{\cdot }2)$
100			P4bm	P 4 b m	$\Gamma _{q}C_{4v}^{2}$	26h	$(c:a:a):4\odot {\tilde {a}}$	$(4_{0}{*}{\cdot }2)$
101			P42cm	P 42 c m	$\Gamma _{q}C_{4v}^{3}$	37a	$(c:a:a):4_{2}\cdot {\tilde {c}}$	$(*{:}4{\cdot }4{:}2)$
102			P42nm	P 42 n m	$\Gamma _{q}C_{4v}^{4}$	38a	$(c:a:a):4_{2}\odot {\widetilde {ac}}$	$(4_{2}{*}{\cdot }2)$
103			P4cc	P 4 c c	$\Gamma _{q}C_{4v}^{5}$	25h	$(c:a:a):4\cdot {\tilde {c}}$	$(*{:}4{:}4{:}2)$
104			P4nc	P 4 n c	$\Gamma _{q}C_{4v}^{6}$	27h	$(c:a:a):4\odot {\widetilde {ac}}$	$(4_{0}{*}{:}2)$
105			P42mc	P 42 m c	$\Gamma _{q}C_{4v}^{7}$	36a	$(c:a:a):4_{2}\cdot m$	$(*{\cdot }4{:}4{\cdot }2)$
106			P42bc	P 42 b c	$\Gamma _{q}C_{4v}^{8}$	39a	$(c:a:a):4\odot {\tilde {a}}$	$(4_{2}{*}{:}2)$
107			I4mm	I 4 m m	$\Gamma _{q}^{v}C_{4v}^{9}$	25s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4\cdot m$	$(*{\cdot }4{\cdot }4{:}2)$
108			I4cm	I 4 c m	$\Gamma _{q}^{v}C_{4v}^{10}$	28h	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4\cdot {\tilde {c}}$	$(*{\cdot }4{:}4{:}2)$
109			I41md	I 41 m d	$\Gamma _{q}^{v}C_{4v}^{11}$	34a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4_{1}\odot m$	$(4_{1}{*}{\cdot }2)$
110			I41cd	I 41 c d	$\Gamma _{q}^{v}C_{4v}^{12}$	35a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):4_{1}\odot {\tilde {c}}$	$(4_{1}{*}{:}2)$
111	42m	$2{*}2$	P42m	P 4 2 m	$\Gamma _{q}D_{2d}^{1}$	32s	$(c:a:a):{\tilde {4}}:2$	$(*4{\cdot }42_{0})$
112			P42c	P 4 2 c	$\Gamma _{q}D_{2d}^{2}$	30h	$(c:a:a):{\tilde {4}}$ $2$	$(*4{:}42_{0})$
113			P421m	P 4 21 m	$\Gamma _{q}D_{2d}^{3}$	52a	$(c:a:a):{\tilde {4}}\cdot {\widetilde {ab}}$	$(4{\bar {*}}{\cdot }2)$
114			P421c	P 4 21 c	$\Gamma _{q}D_{2d}^{4}$	53a	$(c:a:a):{\tilde {4}}\cdot {\widetilde {abc}}$	$(4{\bar {*}}{:}2)$
115			P4m2	P 4 m 2	$\Gamma _{q}D_{2d}^{5}$	33s	$(c:a:a):{\tilde {4}}\cdot m$	$(*{\cdot }44{\cdot }2)$
116			P4c2	P 4 c 2	$\Gamma _{q}D_{2d}^{6}$	31h	$(c:a:a):{\tilde {4}}\cdot {\tilde {c}}$	$(*{:}44{:}2)$
117			P4b2	P 4 b 2	$\Gamma _{q}D_{2d}^{7}$	32h	$(c:a:a):{\tilde {4}}\odot {\tilde {a}}$	$(4{\bar {*}}_{0}2_{0})$
118			P4n2	P 4 n 2	$\Gamma _{q}D_{2d}^{8}$	33h	$(c:a:a):{\tilde {4}}\cdot {\widetilde {ac}}$	$(4{\bar {*}}_{1}2_{0})$
119			I4m2	I 4 m 2	$\Gamma _{q}^{v}D_{2d}^{9}$	35s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):{\tilde {4}}\cdot m$	$(*4{\cdot }42_{1})$
120			I4c2	I 4 c 2	$\Gamma _{q}^{v}D_{2d}^{10}$	34h	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):{\tilde {4}}\cdot {\tilde {c}}$	$(*4{:}42_{1})$
121			I42m	I 4 2 m	$\Gamma _{q}^{v}D_{2d}^{11}$	34s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):{\tilde {4}}:2$	$(*{\cdot }44{:}2)$
122			I42d	I 4 2 d	$\Gamma _{q}^{v}D_{2d}^{12}$	51a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right):{\tilde {4}}\odot {\tfrac {1}{2}}{\widetilde {abc}}$	$(4{\bar {*}}2_{1})$
123	4/m 2/m 2/m	$*224$	P4/mmm	P 4/m 2/m 2/m	$\Gamma _{q}D_{4h}^{1}$	36s	$(c:a:a)\cdot m:4\cdot m$	$[*{\cdot }4{\cdot }4{\cdot }2]$
124			P4/mcc	P 4/m 2/c 2/c	$\Gamma _{q}D_{4h}^{2}$	35h	$(c:a:a)\cdot m:4\cdot {\tilde {c}}$	$[*{:}4{:}4{:}2]$
125			P4/nbm	P 4/n 2/b 2/m	$\Gamma _{q}D_{4h}^{3}$	36h	$(c:a:a)\cdot {\widetilde {ab}}:4\odot {\tilde {a}}$	$(*4_{0}4{\cdot }2)$
126			P4/nnc	P 4/n 2/n 2/c	$\Gamma _{q}D_{4h}^{4}$	37h	$(c:a:a)\cdot {\widetilde {ab}}:4\odot {\widetilde {ac}}$	$(*4_{0}4{:}2)$
127			P4/mbm	P 4/m 21/b 2/m	$\Gamma _{q}D_{4h}^{5}$	54a	$(c:a:a)\cdot m:4\odot {\tilde {a}}$	$[4_{0}{*}{\cdot }2]$
128			P4/mnc	P 4/m 21/n 2/c	$\Gamma _{q}D_{4h}^{6}$	56a	$(c:a:a)\cdot m:4\odot {\widetilde {ac}}$	$[4_{0}{*}{:}2]$
129			P4/nmm	P 4/n 21/m 2/m	$\Gamma _{q}D_{4h}^{7}$	55a	$(c:a:a)\cdot {\widetilde {ab}}:4\cdot m$	$(*4{\cdot }4{\cdot }2)$
130			P4/ncc	P 4/n 21/c 2/c	$\Gamma _{q}D_{4h}^{8}$	57a	$(c:a:a)\cdot {\widetilde {ab}}:4\cdot {\tilde {c}}$	$(*4{:}4{:}2)$
131			P42/mmc	P 42/m 2/m 2/c	$\Gamma _{q}D_{4h}^{9}$	60a	$(c:a:a)\cdot m:4_{2}\cdot m$	$[*{\cdot }4{:}4{\cdot }2]$
132			P42/mcm	P 42/m 2/c 2/m	$\Gamma _{q}D_{4h}^{10}$	61a	$(c:a:a)\cdot m:4_{2}\cdot {\tilde {c}}$	$[*{:}4{\cdot }4{:}2]$
133			P42/nbc	P 42/n 2/b 2/c	$\Gamma _{q}D_{4h}^{11}$	63a	$(c:a:a)\cdot {\widetilde {ab}}:4_{2}\odot {\tilde {a}}$	$(*4_{2}4{:}2)$
134			P42/nnm	P 42/n 2/n 2/m	$\Gamma _{q}D_{4h}^{12}$	62a	$(c:a:a)\cdot {\widetilde {ab}}:4_{2}\odot {\widetilde {ac}}$	$(*4_{2}4{\cdot }2)$
135			P42/mbc	P 42/m 21/b 2/c	$\Gamma _{q}D_{4h}^{13}$	66a	$(c:a:a)\cdot m:4_{2}\odot {\tilde {a}}$	$[4_{2}{*}{:}2]$
136			P42/mnm	P 42/m 21/n 2/m	$\Gamma _{q}D_{4h}^{14}$	65a	$(c:a:a)\cdot m:4_{2}\odot {\widetilde {ac}}$	$[4_{2}{*}{\cdot }2]$
137			P42/nmc	P 42/n 21/m 2/c	$\Gamma _{q}D_{4h}^{15}$	67a	$(c:a:a)\cdot {\widetilde {ab}}:4_{2}\cdot m$	$(*4{\cdot }4{:}2)$
138			P42/ncm	P 42/n 21/c 2/m	$\Gamma _{q}D_{4h}^{16}$	65a	$(c:a:a)\cdot {\widetilde {ab}}:4_{2}\cdot {\tilde {c}}$	$(*4{:}4{\cdot }2)$
139			I4/mmm	I 4/m 2/m 2/m	$\Gamma _{q}^{v}D_{4h}^{17}$	37s	$\left({\tfrac {a+b+c}{2}}/c:a:a\right)\cdot m:4\cdot m$	$[*{\cdot }4{\cdot }4{:}2]$
140			I4/mcm	I 4/m 2/c 2/m	$\Gamma _{q}^{v}D_{4h}^{18}$	38h	$\left({\tfrac {a+b+c}{2}}/c:a:a\right)\cdot m:4\cdot {\tilde {c}}$	$[*{\cdot }4{:}4{:}2]$
141			I41/amd	I 41/a 2/m 2/d	$\Gamma _{q}^{v}D_{4h}^{19}$	59a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right)\cdot {\tilde {a}}:4_{1}\odot m$	$(*4_{1}4{\cdot }2)$
142			I41/acd	I 41/a 2/c 2/d	$\Gamma _{q}^{v}D_{4h}^{20}$	58a	$\left({\tfrac {a+b+c}{2}}/c:a:a\right)\cdot {\tilde {a}}:4_{1}\odot {\tilde {c}}$	$(*4_{1}4{:}2)$

Seznam prostorových grup klencových soustav

Klencová bravaisova mřížka

Romboedrická (R)	Šesterečná (P)

Klencová krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno	Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Fibrifoldovo značení
143	3	$33$	P3	P 3	$\Gamma _{h}C_{3}^{1}$	38s	$(c:(a/a)):3$	$(3_{0}3_{0}3_{0})$
144			P31	P 31	$\Gamma _{h}C_{3}^{2}$	68a	$(c:(a/a)):3_{1}$	$(3_{1}3_{1}3_{1})$
145			P32	P 32	$\Gamma _{h}C_{3}^{3}$	69a	$(c:(a/a)):3_{2}$	$(3_{1}3_{1}3_{1})$
146			R3	R 3	$\Gamma _{rh}C_{3}^{4}$	39s	$(a/a/a)/3$	$(3_{0}3_{1}3_{2})$
147	3	$3\times$	P3	P 3	$\Gamma _{h}C_{3i}^{1}$	51s	$(c:(a/a)):{\tilde {6}}$	$(63_{0}2)$
148			R3	R 3	$\Gamma _{rh}C_{3i}^{2}$	52s	$(a/a/a)/{\tilde {6}}$	$(63_{1}2)$
149	32	$223$	P312	P 3 1 2	$\Gamma _{h}D_{3}^{1}$	45s	$(c:(a/a)):2:3$	$(*3_{0}3_{0}3_{0})$
150			P321	P 3 2 1	$\Gamma _{h}D_{3}^{2}$	44s	$(c:(a/a))\cdot 2:3$	$(3_{0}{*}3_{0})$
151			P3112	P 31 1 2	$\Gamma _{h}D_{3}^{3}$	72a	$(c:(a/a)):2:3_{1}$	$(*3_{1}3_{1}3_{1})$
152			P3121	P 31 2 1	$\Gamma _{h}D_{3}^{4}$	70a	$(c:(a/a))\cdot 2:3_{1}$	$(3_{1}{*}3_{1})$
153			P3212	P 32 1 2	$\Gamma _{h}D_{3}^{5}$	73a	$(c:(a/a)):2:3_{2}$	$(*3_{1}3_{1}3_{1})$
154			P3221	P 32 2 1	$\Gamma _{h}D_{3}^{6}$	71a	$(c:(a/a))\cdot 2:3_{2}$	$(3_{1}{*}3_{1})$
155			R32	R 3 2	$\Gamma _{rh}D_{3}^{7}$	46s	$(a/a/a)/3:2$	$(*3_{0}3_{1}3_{2})$
156	3m	$*33$	P3m1	P 3 m 1	$\Gamma _{h}C_{3v}^{1}$	40s	$(c:(a/a)):m\cdot 3$	$(*{\cdot }3{\cdot }3{\cdot }3)$
157			P31m	P 3 1 m	$\Gamma _{h}C_{3v}^{2}$	41s	$(c:(a/a))\cdot m\cdot 3$	$(3_{0}{*}{\cdot }3)$
158			P3c1	P 3 c 1	$\Gamma _{h}C_{3v}^{3}$	39h	$(c:(a/a)):{\tilde {c}}:3$	$(*{:}3{:}3{:}3)$
159			P31c	P 3 1 c	$\Gamma _{h}C_{3v}^{4}$	40h	$(c:(a/a))\cdot {\tilde {c}}:3$	$(3_{0}{*}{:}3)$
160			R3m	R 3 m	$\Gamma _{rh}C_{3v}^{5}$	42s	$(a/a/a)/3\cdot m$	$(3_{1}{*}{\cdot }3)$
161			R3c	R 3 c	$\Gamma _{rh}C_{3v}^{6}$	41h	$(a/a/a)/3\cdot {\tilde {c}}$	$(3_{1}{*}{:}3)$
162	3 2/m	$2{*}3$	P31m	P 3 1 2/m	$\Gamma _{h}D_{3d}^{1}$	56s	$(c:(a/a))\cdot m\cdot {\tilde {6}}$	$(*{\cdot }63_{0}2)$
163			P31c	P 3 1 2/c	$\Gamma _{h}D_{3d}^{2}$	46h	$(c:(a/a))\cdot {\tilde {c}}\cdot {\tilde {6}}$	$(*{:}63_{0}2)$
164			P3m1	P 3 2/m 1	$\Gamma _{h}D_{3d}^{3}$	55s	$(c:(a/a)):m\cdot {\tilde {6}}$	$(*6{\cdot }3{\cdot }2)$
165			P3c1	P 3 2/c 1	$\Gamma _{h}D_{3d}^{4}$	45h	$(c:(a/a)):{\tilde {c}}\cdot {\tilde {6}}$	$(*6{:}3{:}2)$
166			R3m	R 3 2/m	$\Gamma _{rh}D_{3d}^{5}$	57s	$(a/a/a)/{\tilde {6}}\cdot m$	$(*{\cdot }63_{1}2)$
167			R3c	R 3 2/c	$\Gamma _{rh}D_{3d}^{6}$	47h	$(a/a/a)/{\tilde {6}}\cdot {\tilde {c}}$	$(*{:}63_{1}2)$

Seznam prostorových grup šesterečné soustavy

Šesterečná bravaisova mřížka

Šesterečná krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno	Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Fibrifoldovo značení
168	6	$66$	P6	P 6	$\Gamma _{h}C_{6}^{1}$	49s	$(c:(a/a)):6$	$(6_{0}3_{0}2_{0})$
169			P61	P 61	$\Gamma _{h}C_{6}^{2}$	74a	$(c:(a/a)):6_{1}$	$(6_{1}3_{1}2_{1})$
170			P65	P 65	$\Gamma _{h}C_{6}^{3}$	75a	$(c:(a/a)):6_{5}$	$(6_{1}3_{1}2_{1})$
171			P62	P 62	$\Gamma _{h}C_{6}^{4}$	76a	$(c:(a/a)):6_{2}$	$(6_{2}3_{2}2_{0})$
172			P64	P 64	$\Gamma _{h}C_{6}^{5}$	77a	$(c:(a/a)):6_{4}$	$(6_{2}3_{2}2_{0})$
173			P63	P 63	$\Gamma _{h}C_{6}^{6}$	78a	$(c:(a/a)):6_{3}$	$(6_{3}3_{0}2_{1})$
174	6	$3*$	P6	P 6	$\Gamma _{h}C_{3h}^{1}$	43s	$(c:(a/a)):3:m$	$[3_{0}3_{0}3_{0}]$
175	6/m	$6*$	P6/m	P 6/m	$\Gamma _{h}C_{6h}^{1}$	53s	$(c:(a/a))\cdot m:6$	$[6_{0}3_{0}2_{0}]$
176			P63/m	P 63/m	$\Gamma _{h}C_{6h}^{2}$	81a	$(c:(a/a))\cdot m:6_{3}$	$[6_{3}3_{0}2_{1}]$
177	622	$226$	P622	P 6 2 2	$\Gamma _{h}D_{6}^{1}$	54s	$(c:(a/a))\cdot 2:6$	$(*6_{0}3_{0}2_{0})$
178			P6122	P 61 2 2	$\Gamma _{h}D_{6}^{2}$	82a	$(c:(a/a))\cdot 2:6_{1}$	$(*6_{1}3_{1}2_{1})$
179			P6522	P 65 2 2	$\Gamma _{h}D_{6}^{3}$	83a	$(c:(a/a))\cdot 2:6_{5}$	$(*6_{1}3_{1}2_{1})$
180			P6222	P 62 2 2	$\Gamma _{h}D_{6}^{4}$	84a	$(c:(a/a))\cdot 2:6_{2}$	$(*6_{2}3_{2}2_{0})$
181			P6422	P 64 2 2	$\Gamma _{h}D_{6}^{5}$	85a	$(c:(a/a))\cdot 2:6_{4}$	$(*6_{2}3_{2}2_{0})$
182			P6322	P 63 2 2	$\Gamma _{h}D_{6}^{6}$	86a	$(c:(a/a))\cdot 2:6_{3}$	$(*6_{3}3_{0}2_{1})$
183	6mm	$*66$	P6mm	P 6 m m	$\Gamma _{h}C_{6v}^{1}$	50s	$(c:(a/a)):m\cdot 6$	$(*{\cdot }6{\cdot }3{\cdot }2)$
184			P6cc	P 6 c c	$\Gamma _{h}C_{6v}^{2}$	44h	$(c:(a/a)):{\tilde {c}}\cdot 6$	$(*{:}6{:}3{:}2)$
185			P63cm	P 63 c m	$\Gamma _{h}C_{6v}^{3}$	80a	$(c:(a/a)):{\tilde {c}}\cdot 6_{3}$	$(*{\cdot }6{:}3{:}2)$
186			P63mc	P 63 m c	$\Gamma _{h}C_{6v}^{4}$	79a	$(c:(a/a)):m\cdot 6_{3}$	$(*{:}6{\cdot }3{\cdot }2)$
187	6m2	$*223$	P6m2	P 6 m 2	$\Gamma _{h}D_{3h}^{1}$	48s	$(c:(a/a)):m\cdot 3:m$	$[*{\cdot }3{\cdot }3{\cdot }3]$
188			P6c2	P 6 c 2	$\Gamma _{h}D_{3h}^{2}$	43h	$(c:(a/a)):{\tilde {c}}\cdot 3:m$	$[*{:}3{:}3{:}3]$
189			P62m	P 6 2 m	$\Gamma _{h}D_{3h}^{3}$	47s	$(c:(a/a))\cdot m:3\cdot m$	$[3_{0}{*}{\cdot }3]$
190			P62c	P 6 2 c	$\Gamma _{h}D_{3h}^{4}$	42h	$(c:(a/a))\cdot m:3\cdot {\tilde {c}}$	$[3_{0}{*}{:}3]$
191	6/m 2/m 2/m	$*226$	P6/mmm	P 6/m 2/m 2/m	$\Gamma _{h}D_{6h}^{1}$	58s	$(c:(a/a))\cdot m:6\cdot m$	$[*{\cdot }6{\cdot }3{\cdot }2]$
192			P6/mcc	P 6/m 2/c 2/c	$\Gamma _{h}D_{6h}^{2}$	48h	$(c:(a/a))\cdot m:6\cdot {\tilde {c}}$	$[*{:}6{:}3{:}2]$
193			P63/mcm	P 63/m 2/c 2/m	$\Gamma _{h}D_{6h}^{3}$	87a	$(c:(a/a))\cdot m:6_{3}\cdot {\tilde {c}}$	$[*{\cdot }6{:}3{:}2]$
194			P63/mmc	P 63/m 2/m 2/c	$\Gamma _{h}D_{6h}^{4}$	88a	$(c:(a/a))\cdot m:6_{3}\cdot m$	$[*{:}6{\cdot }3{\cdot }2]$

Seznam prostorových grup krychlové soustavy

Krychlová bravaisova mřížka

Primitivní (P)	Prostorově centrovaná (I)	Plošně centrovaná (F)

• 
  (221) Chlorid cesný Různé barvy pro dva typy atomů.
• 
  (216) Sfalerit
• 
  (223) Weaire-Phelanova struktura

Krychlová krystalová soustava

Číslo	Bodová grupa	Orbifoldovo značení	Krátké jméno	Celé jméno	Schoenfliesovo značení	Fedorovovo značení	Shubnikovo značení	Conway	Fibrifold (zachování $z$)	Fibrifold (zachování $x$, $y$, $z$)
195	23	$332$	P23	P 2 3	$\Gamma _{c}T^{1}$	59s	$\left(a:a:a\right):2/3$	$2^{\circ }$	$(*2_{0}2_{0}2_{0}2_{0}){:}3$	$(*2_{0}2_{0}2_{0}2_{0}){:}3$
196			F23	F 2 3	$\Gamma _{c}^{f}T^{2}$	61s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):2/3$	$1^{\circ }$	$(*2_{0}2_{1}2_{0}2_{1}){:}3$	$(*2_{0}2_{1}2_{0}2_{1}){:}3$
197			I23	I 2 3	$\Gamma _{c}^{v}T^{3}$	60s	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):2/3$	$4^{\circ \circ }$	$(2_{1}{*}2_{0}2_{0}){:}3$	$(2_{1}{*}2_{0}2_{0}){:}3$
198			P213	P 21 3	$\Gamma _{c}T^{4}$	89a	$\left(a:a:a\right):2_{1}/3$	$1^{\circ }/4$	$(2_{1}2_{1}{\bar {\times }}){:}3$	$(2_{1}2_{1}{\bar {\times }}){:}3$
199			I213	I 21 3	$\Gamma _{c}^{v}T^{5}$	90a	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):2_{1}/3$	$2^{\circ }/4$	$(2_{0}{*}2_{1}2_{1}){:}3$	$(2_{0}{*}2_{1}2_{1}){:}3$
200	2/m 3	$3{*}2$	Pm3	P 2/m 3	$\Gamma _{c}T_{h}^{1}$	62s	$\left(a:a:a\right)\cdot m/{\tilde {6}}$	$4^{-}$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}3$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}3$
201			Pn3	P 2/n 3	$\Gamma _{c}T_{h}^{2}$	49h	$\left(a:a:a\right)\cdot {\widetilde {ab}}/{\tilde {6}}$	$4^{\circ +}$	$(2{\bar {*}}_{1}2_{0}2_{0}){:}3$	$(2{\bar {*}}_{1}2_{0}2_{0}){:}3$
202			Fm3	F 2/m 3	$\Gamma _{c}^{f}T_{h}^{3}$	64s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right)\cdot m/{\tilde {6}}$	$2^{-}$	$[*{\cdot }2{\cdot }2{:}2{:}2]{:}3$	$[*{\cdot }2{\cdot }2{:}2{:}2]{:}3$
203			Fd3	F 2/d 3	$\Gamma _{c}^{f}T_{h}^{4}$	50h	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right)\cdot {\tfrac {1}{2}}{\widetilde {ab}}/{\tilde {6}}$	$2^{\circ +}$	$(2{\bar {*}}2_{0}2_{1}){:}3$	$(2{\bar {*}}2_{0}2_{1}){:}3$
204			Im3	I 2/m 3	$\Gamma _{c}^{v}T_{h}^{5}$	63s	$\left({\tfrac {a+b+c}{2}}/a:a:a\right)\cdot m/{\tilde {6}}$	$8^{-\circ }$	$[2_{1}{*}{\cdot }2{\cdot }2]{:}3$	$[2_{1}{*}{\cdot }2{\cdot }2]{:}3$
205			Pa3	P 21/a 3	$\Gamma _{c}T_{h}^{6}$	91a	$\left(a:a:a\right)\cdot {\tilde {a}}/{\tilde {6}}$	$2^{-}/4$	$(2_{1}2{\bar {*}}{:}){:}3)$	$(2_{1}2{\bar {*}}{:}){:}3)$
206			Ia3	I 21/a 3	$\Gamma _{c}^{v}T_{h}^{7}$	92a	$\left({\tfrac {a+b+c}{2}}/a:a:a\right)\cdot {\tilde {a}}/{\tilde {6}}$	$4^{-}/4$	$(*2_{1}2{:}2{:}2){:}3$	$(*2_{1}2{:}2{:}2){:}3$
207	432	$432$	P432	P 4 3 2	$\Gamma _{c}O^{1}$	68s	$\left(a:a:a\right):4/3$	$4^{\circ -}$	$(*4_{0}4_{0}2_{0}){:}3$	$(*2_{0}2_{0}2_{0}2_{0}){:}6$
208			P4232	P 42 3 2	$\Gamma _{c}O^{2}$	98a	$\left(a:a:a\right):4_{2}//3$	$4^{+}$	$(*4_{2}4_{2}2_{0}){:}3$	$(*2_{0}2_{0}2_{0}2_{0}){:}6$
209			F432	F 4 3 2	$\Gamma _{c}^{f}O^{3}$	70s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):4/3$	$2^{\circ -}$	$(*4_{2}4_{0}2_{1}){:}3$	$(*2_{0}2_{1}2_{0}2_{1}){:}6$
210			F4132	F 41 3 2	$\Gamma _{c}^{f}O^{4}$	97a	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):4_{1}//3$	$2^{+}$	$(*4_{3}4_{1}2_{0}){:}3$	$(*2_{0}2_{1}2_{0}2_{1}){:}6$
211			I432	I 4 3 2	$\Gamma _{c}^{v}O^{5}$	69s	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):4/3$	$8^{+\circ }$	$(4_{2}4_{0}2_{1}){:3}$	$(2_{1}{*}2_{0}2_{0}){:}6$
212			P4332	P 43 3 2	$\Gamma _{c}O^{6}$	94a	$\left(a:a:a\right):4_{3}//3$	$2^{+}/4$	$(4_{1}{*}2_{1}){:}3$	$(2_{1}2_{1}{\bar {\times }}){:}6$
213			P4132	P 41 3 2	$\Gamma _{c}O^{7}$	95a	$\left(a:a:a\right):4_{1}//3$	$2^{+}/4$	$(4_{1}{*}2_{1}){:}3$	$(2_{1}2_{1}{\bar {\times }}){:}6$
214			I4132	I 41 3 2	$\Gamma _{c}^{v}O^{8}$	96a	$\left({\tfrac {a+b+c}{2}}/:a:a:a\right):4_{1}//3$	$4^{+}/4$	$(*4_{3}4_{1}2_{0}){:}3$	$(2_{0}{*}2_{1}2_{1}){:}6$
215	43m	$*332$	P43m	P 4 3 m	$\Gamma _{c}T_{d}^{1}$	65s	$\left(a:a:a\right):{\tilde {4}}/3$	$2^{\circ }{:}2$	$(*4{\cdot }42_{0}){:}3$	$(*2_{0}2_{0}2_{0}2_{0}){:}6$
216			F43m	F 4 3 m	$\Gamma _{c}^{f}T_{d}^{2}$	67s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):{\tilde {4}}/3$	$1^{\circ }{:}2$	$(*4{\cdot }42_{1}){:}3$	$(*2_{0}2_{1}2_{0}2_{1}){:}6$
217			I43m	I 4 3 m	$\Gamma _{c}^{v}T_{d}^{3}$	66s	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):{\tilde {4}}/3$	$4^{\circ }{:}2$	$(*{\cdot }44{:}2){:}3$	$(2_{1}{*}2_{0}2_{0}){:}6$
218			P43n	P 4 3 n	$\Gamma _{c}T_{d}^{4}$	51h	$\left(a:a:a\right):{\tilde {4}}//3$	$4^{\circ }$	$(*4{:}42_{0}){:}3$	$(*2_{0}2_{0}2_{0}2_{0}){:}6$
219			F43c	F 4 3 c	$\Gamma _{c}^{f}T_{d}^{5}$	52h	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):{\tilde {4}}//3$	$2^{\circ \circ }$	$(*4{:}42_{1}){:}3$	$(*2_{0}2_{1}2_{0}2_{1}){:}6$
220			I43d	I 4 3 d	$\Gamma _{c}^{v}T_{d}^{6}$	93a	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):{\tilde {4}}//3$	$4^{\circ }/4$	$(4{\bar {*}}2_{1}){:}3$	$(2_{0}{*}2_{1}2_{1}){:}6$
221	4/m 3 2/m	$*432$	Pm3m	P 4/m 3 2/m	$\Gamma _{c}O_{h}^{1}$	71s	$\left(a:a:a\right):4/{\tilde {6}}\cdot m$	$4^{-}{:}2$	$[*{\cdot }4{\cdot }4{\cdot }2]{:}3$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}6$
222			Pn3n	P 4/n 3 2/n	$\Gamma _{c}O_{h}^{2}$	53h	$\left(a:a:a\right):4/{\tilde {6}}\cdot {\widetilde {abc}}$	$8^{\circ \circ }$	$(*4_{0}4{:}2){:}3$	$(2{\bar {*}}_{1}2_{0}2_{0}){:}6$
223			Pm3n	P 42/m 3 2/n	$\Gamma _{c}O_{h}^{3}$	102a	$\left(a:a:a\right):4_{2}//{\tilde {6}}\cdot {\widetilde {abc}}$	$8^{\circ }$	$[*{\cdot }4{:}4{\cdot }2]{:}3$	$[*{\cdot }2{\cdot }2{\cdot }2{\cdot }2]{:}6$
224			Pn3m	P 42/n 3 2/m	$\Gamma _{c}O_{h}^{4}$	103a	$\left(a:a:a\right):4_{2}//{\tilde {6}}\cdot m$	$4^{+}{:}2$	$(*4_{2}4{\cdot }2){:}3$	$(2{\bar {*}}_{1}2_{0}2_{0}){:}6$
225			Fm3m	F 4/m 3 2/m	$\Gamma _{c}^{f}O_{h}^{5}$	73s	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):4/{\tilde {6}}\cdot m$	$2^{-}{:}2$	$[*{\cdot }4{\cdot }4{:}2]{:}3$	$[*{\cdot }2{\cdot }2{:}2{:}2]{:}6$
226			Fm3c	F 4/m 3 2/c	$\Gamma _{c}^{f}O_{h}^{6}$	54h	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):4/{\tilde {6}}\cdot {\tilde {c}}$	$4^{--}$	$[*{\cdot }4{:}4{:}2]{:}3$	$[*{\cdot }2{\cdot }2{:}2{:}2]{:}6$
227			Fd3m	F 41/d 3 2/m	$\Gamma _{c}^{f}O_{h}^{7}$	100a	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):4_{1}//{\tilde {6}}\cdot m$	$2^{+}{:}2$	$(*4_{1}4{\cdot }2){:}3$	$(2{\bar {*}}2_{0}2_{1}){:}6$
228			Fd3c	F 41/d 3 2/c	$\Gamma _{c}^{f}O_{h}^{8}$	101a	$\left({\tfrac {a+c}{2}}/{\tfrac {b+c}{2}}/{\tfrac {a+b}{2}}:a:a:a\right):4_{1}//{\tilde {6}}\cdot {\tilde {c}}$	$4^{++}$	$(*4_{1}4{:}2){:}3$	$(2{\bar {*}}2_{0}2_{1}){:}6$
229			Im3m	I 4/m 3 2/m	$\Gamma _{c}^{v}O_{h}^{9}$	72s	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):4/{\tilde {6}}\cdot m$	$8^{\circ }{:}2$	$[*{\cdot }4{\cdot }4{:}2]{:}3$	$[2_{1}{*}{\cdot }2{\cdot }2]{:}6$
230			Ia3d	I 41/a 3 2/d	$\Gamma _{c}^{v}O_{h}^{10}$	99a	$\left({\tfrac {a+b+c}{2}}/a:a:a\right):4_{1}//{\tilde {6}}\cdot {\tfrac {1}{2}}{\widetilde {abc}}$	$8^{\circ }/4$	$(*4_{1}4{:}2){:}3$	$(*2_{1}2{:}2{:}2){:}6$

Odkazy

Reference

V tomto článku byl použit překlad textu z článku List of space groups na anglické Wikipedii.

Externí odkazy

• Obrázky, zvuky či videa k tématu Seznam prostorových grup na Wikimedia Commons
• Mezinárodní krystalografická unie
• Bodové grupy a Bravaisovy mřížky
• Seznam 230 krystalografických prostorových grup
• Conway et al.
• Prostorové grupy v mineralogii

Portály: Chemie | Fyzika