List of Space Groups – Materials Science & Engineering

Here is a list of the 230 3-dimensional space groups, organized by crystal system.

Each space group is labeled according to its number, abbreviated Hermann–Mauguin notation (international symbol) and full H-M notation, as well as the space group’s parent point group, Bravais lattice, crystal family, and crystal system.

Triclinic Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (H-M HermannMauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
1	$P1$	$1$	Triclinic	Triclinic	Triclinic
2	$P\bar{1}$	$\bar{1}$	Triclinic	Triclinic	Triclinic

Monoclinic Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (Hermann-Mauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
3	$P2$	$2$	Monoclinic	Monoclinic	Simple Monoclinic
4	$P2_1$	$2$	Monoclinic	Monoclinic	Simple Monoclinic
5	$C2$	$2$	Monoclinic	Monoclinic	Base-Centered Monoclinic
6	$Pm$	$m$	Monoclinic	Monoclinic	Simple Monoclinic
7	$Pc$	$m$	Monoclinic	Monoclinic	Simple Monoclinic
8	$Cm$	$m$	Monoclinic	Monoclinic	Base-Centered Monoclinic
9	$Cc$	$m$	Monoclinic	Monoclinic	Base-Centered Monoclinic
10	$P2/m$	$2/m$	Monoclinic	Monoclinic	Simple Monoclinic
11	$P2_{1}/m$	$2/m$	Monoclinic	Monoclinic	Simple Monoclinic
12	$C2/m$	$2/m$	Monoclinic	Monoclinic	Base-Centered Monoclinic
13	$P2/c$	$2/m$	Monoclinic	Monoclinic	Simple Monoclinic
14	$P2_{1}/c$	$2/m$	Monoclinic	Monoclinic	Simple Monoclinic
15	$C2/c$	$2/m$	Monoclinic	Monoclinic	Base-Centered Monoclinic

Orthorhombic Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (H-M HermannMauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
16	$P222$	$222$	Orthorhombic	Orthorhombic	Simple Orthorhombic
17	$P222_{1}$	$222$	Orthorhombic	Orthorhombic	Simple Orthorhombic
18	$P2_{1}2_{1}2$	$222$	Orthorhombic	Orthorhombic	Simple Orthorhombic
19	$P2_{1}2_{1}2_{1}$	$222$	Orthorhombic	Orthorhombic	Simple Orthorhombic
20	$C222_{1}$	$222$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
21	$C222$	$222$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
22	$F222$	$222$	Orthorhombic	Orthorhombic	Face-Centered Orthorhombic
23	$I222$	$222$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
24	$I2_{1}2_{1}2_{1}$	$222$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
25	$Pmm2$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
26	$Pmc2_{1}$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
27	$Pcc2$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
28	$Pma2$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
29	$Pca2_{1}$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
30	$Pnc2$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
31	$Pmn2_{1}$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
32	$Pba2$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
33	$Pna2_{1}$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
34	$Pnn2$	$mm2$	Orthorhombic	Orthorhombic	Simple Orthorhombic
35	$Cmm2$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
36	$Cmc2_{1}$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
37	$Ccc2$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
38	$Amm2$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
39	$Aem2$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
40	$Ama2$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
41	$Aea2$	$mm2$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
42	$Fmm2$	$mm2$	Orthorhombic	Orthorhombic	Face-Centered Orthorhombic
43	$Fdd2$	$mm2$	Orthorhombic	Orthorhombic	Face-Centered Orthorhombic
44	$Imm2$	$mm2$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
45	$Iba2$	$mm2$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
46	$Ima2$	$mm2$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
47	$Pmmm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
48	$Pnnn$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
49	$Pccm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
50	$Pban$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
51	$Pmma$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
52	$Pnna$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
53	$Pmna$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
54	$Pcca$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
55	$Pbam$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
56	$Pccn$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
57	$Pbcm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
58	$Pnnm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
59	$Pmmn$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
60	$Pbcn$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
61	$Pbca$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
62	$Pnma$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Simple Orthorhombic
63	$Cmcm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
64	$Cmca$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
65	$Cmmm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
66	$Cccm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
67	$Cmme$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
68	$Ccce$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Base-Centered Orthorhombic
69	$Fmmm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Face-Centered Orthorhombic
70	$Fddd$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Face-Centered Orthorhombic
71	$Immm$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
72	$Ibam$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
73	$Ibca$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic
74	$Imma$	$\frac{2}{m}\frac{2}{m}\frac{2}{m}$	Orthorhombic	Orthorhombic	Body-Centered Orthorhombic

Tetragonal Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (H-M HermannMauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
75	$P4$	$4$	Tetragonal	Tetragonal	Simple Tetragonal
76	$P4_{1}$	$4$	Tetragonal	Tetragonal	Simple Tetragonal
77	$P4_{2}$	$4$	Tetragonal	Tetragonal	Simple Tetragonal
78	$P4_{3}$	$4$	Tetragonal	Tetragonal	Simple Tetragonal
79	$I4$	$4$	Tetragonal	Tetragonal	Body-Centered Tetragonal
80	$I4_{1}$	$4$	Tetragonal	Tetragonal	Body-Centered Tetragonal
81	$P\bar{4}$	$\bar{4}$	Tetragonal	Tetragonal	Simple Tetragonal
82	$I\bar{4}$	$\bar{4}$	Tetragonal	Tetragonal	Body-Centered Tetragonal
83	$P4/m$	$4/m$	Tetragonal	Tetragonal	Simple Tetragonal
84	$P4_{2}/m$	$4/m$	Tetragonal	Tetragonal	Simple Tetragonal
85	$P4/n$	$4/m$	Tetragonal	Tetragonal	Simple Tetragonal
86	$P4_{2}/n$	$4/m$	Tetragonal	Tetragonal	Simple Tetragonal
87	$I4/m$	$4/m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
88	$I4_{1}/a$	$4/m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
89	$P422$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
90	$P42_{1}2$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
91	$P4_{1}22$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
92	$P4_{1}2_{1}2$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
93	$P4_{2}22$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
94	$P4_{2}2_{1}2$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
95	$P4_{3}22$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
96	$P4_{3}2_{1}2$	$422$	Tetragonal	Tetragonal	Simple Tetragonal
97	$I422$	$422$	Tetragonal	Tetragonal	Body-Centered Tetragonal
98	$I4_{1}22$	$422$	Tetragonal	Tetragonal	Body-Centered Tetragonal
99	$P4mm$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
100	$P4bm$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
101	$P4_{2}cm$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
102	$P4_{2}nm$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
103	$P4cc$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
104	$P4nc$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
105	$P4_{2}mc$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
106	$P4_{2}bc$	$4mm$	Tetragonal	Tetragonal	Simple Tetragonal
107	$I4mm$	$4mm$	Tetragonal	Tetragonal	Body-Centered Tetragonal
108	$I4cm$	$4mm$	Tetragonal	Tetragonal	Body-Centered Tetragonal
109	$I4_{1}md$	$4mm$	Tetragonal	Tetragonal	Body-Centered Tetragonal
110	$I4_{1}cd$	$4mm$	Tetragonal	Tetragonal	Body-Centered Tetragonal
111	$P\bar{4}2m$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
112	$P\bar{4}2c$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
113	$P\bar{4}2_{1}m$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
114	$P\bar{4}2_{1}c$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
115	$P\bar{4}m2$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
116	$P\bar{4}c2$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
117	$P\bar{4}b2$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
118	$P\bar{4}n2$	$\bar{4}2m$	Tetragonal	Tetragonal	Simple Tetragonal
119	$I\bar{4}m2$	$\bar{4}2m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
120	$I\bar{4}c2$	$\bar{4}2m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
121	$I\bar{4}2m$	$\bar{4}2m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
122	$I\bar{4}2d$	$\bar{4}2m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
123	$P4/mmm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
124	$P4/mcc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
125	$P4/nbm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
126	$P4/nnc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
127	$P4/mbm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
128	$P4/mnc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
129	$P4/nmm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
130	$P4/ncc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
131	$P4_{2}/mmc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
132	$P4_{2}/mcm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
133	$P4_{2}/nbc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
134	$P4_{2}/nnm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
135	$P4_{2}/mbc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
136	$P4_{2}/mnm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
137	$P4_{2}/nmc$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
138	$P4_{2}/ncm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Simple Tetragonal
139	$I4/mmm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
140	$I4/mcm$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
141	$I4_{1}/amd$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Body-Centered Tetragonal
142	$I4_{1}/acd$	$4/m \ 2/m \ 2/m$	Tetragonal	Tetragonal	Body-Centered Tetragonal

Trigonal Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (H-M HermannMauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
143	$P3$	$3$	Trigonal	Hexagonal	Hexagonal
144	$P3_{1}$	$3$	Trigonal	Hexagonal	Hexagonal
145	$P3_{2}$	$3$	Trigonal	Hexagonal	Hexagonal
146	$R3$	$3$	Trigonal	Hexagonal	Rhombohedral
147	$P\bar{3}$	$\bar{3}$	Trigonal	Hexagonal	Hexagonal
148	$R\bar{3}$	$\bar{3}$	Trigonal	Hexagonal	Rhombohedral
149	$P312$	$32$	Trigonal	Hexagonal	Hexagonal
150	$P321$	$32$	Trigonal	Hexagonal	Hexagonal
151	$P3_{1}12$	$32$	Trigonal	Hexagonal	Hexagonal
152	$P3_{1}21$	$32$	Trigonal	Hexagonal	Hexagonal
153	$P3_{2}12$	$32$	Trigonal	Hexagonal	Hexagonal
154	$P3_{2}21$	$32$	Trigonal	Hexagonal	Hexagonal
155	$R32$	$32$	Trigonal	Hexagonal	Rhombohedral
156	$P3m1$	$3m$	Trigonal	Hexagonal	Hexagonal
157	$P31m$	$3m$	Trigonal	Hexagonal	Hexagonal
158	$P3c1$	$3m$	Trigonal	Hexagonal	Hexagonal
159	$P31c$	$3m$	Trigonal	Hexagonal	Hexagonal
160	$R3m$	$3m$	Trigonal	Hexagonal	Rhombohedral
161	$R3c$	$3m$	Trigonal	Hexagonal	Rhombohedral
162	$P\bar{3}1m$	$\bar{3}2/m$	Trigonal	Hexagonal	Hexagonal
163	$P\bar{3}1c$	$\bar{3}2/m$	Trigonal	Hexagonal	Hexagonal
164	$P\bar{3}m1$	$\bar{3}2/m$	Trigonal	Hexagonal	Hexagonal
165	$P\bar{3}c1$	$\bar{3}2/m$	Trigonal	Hexagonal	Hexagonal
166	$R\bar{3}m$	$\bar{3}2/m$	Trigonal	Hexagonal	Rhombohedral
167	$R\bar{3}c$	$\bar{3}2/m$	Trigonal	Hexagonal	Rhombohedral

Hexagonal Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (H-M HermannMauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
168	$P6$	$6$	Hexagonal	Hexagonal	Hexagonal
169	$P6_{1}$	$6$	Hexagonal	Hexagonal	Hexagonal
170	$P6_{5}$	$6$	Hexagonal	Hexagonal	Hexagonal
171	$P6_{2}$	$6$	Hexagonal	Hexagonal	Hexagonal
172	$P6_{4}$	$6$	Hexagonal	Hexagonal	Hexagonal
173	$P6_{3}$	$6$	Hexagonal	Hexagonal	Hexagonal
174	$P\bar{6}$	$\bar{6}$	Hexagonal	Hexagonal	Hexagonal
175	$P6/m$	$6/m$	Hexagonal	Hexagonal	Hexagonal
176	$P6_{3}/m$	$6/m$	Hexagonal	Hexagonal	Hexagonal
177	$P622$	$622$	Hexagonal	Hexagonal	Hexagonal
178	$P6_{1}22$	$622$	Hexagonal	Hexagonal	Hexagonal
179	$P6_{5}22$	$622$	Hexagonal	Hexagonal	Hexagonal
180	$P6_{2}22$	$622$	Hexagonal	Hexagonal	Hexagonal
181	$P6_{4}22$	$622$	Hexagonal	Hexagonal	Hexagonal
182	$P6_{3}22$	$622$	Hexagonal	Hexagonal	Hexagonal
183	$P6mm$	$6mm$	Hexagonal	Hexagonal	Hexagonal
184	$P6cc$	$6mm$	Hexagonal	Hexagonal	Hexagonal
185	$P6_{3}cm$	$6mm$	Hexagonal	Hexagonal	Hexagonal
186	$P\bar{6}_{3}mc$	$6mm$	Hexagonal	Hexagonal	Hexagonal
187	$P\bar{6}m2$	$\bar{6}m2$	Hexagonal	Hexagonal	Hexagonal
188	$P\bar{6}c2$	$\bar{6}m2$	Hexagonal	Hexagonal	Hexagonal
189	$P\bar{6}2m$	$\bar{6}m2$	Hexagonal	Hexagonal	Hexagonal
190	$P\bar{6}2c$	$\bar{6}m2$	Hexagonal	Hexagonal	Hexagonal
191	$P6/mmm$	$6/m \ 2/m \ 2/m$	Hexagonal	Hexagonal	Hexagonal
192	$P6/mcc$	$6/m \ 2/m \ 2/m$	Hexagonal	Hexagonal	Hexagonal
193	$P6_{3}/mcm$	$6/m \ 2/m \ 2/m$	Hexagonal	Hexagonal	Hexagonal
194	$P6_{3}/mmc$	$6/m \ 2/m \ 2/m$	Hexagonal	Hexagonal	Hexagonal

Cubic Space Groups

Space Group (Number)	ShortName of a Space Group	Point Group (H-M HermannMauguin Notation)	Crystal System	Crystal Family	Bravais Lattice
195	$P23$	$23$	Cubic	Cubic	Simple Cubic
196	$F23$	$23$	Cubic	Cubic	Face-Centered Cubic
197	$I23$	$23$	Cubic	Cubic	Body-Centered Cubic
198	$P2_{1}3$	$23$	Cubic	Cubic	Simple Cubic
199	$I2_{1}3$	$23$	Cubic	Cubic	Body-Centered Cubic
200	$Pm\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Simple Cubic
201	$Pn\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Simple Cubic
202	$Fm\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Face-Centered Cubic
203	$Fd\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Face-Centered Cubic
204	$Im\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Body-Centered Cubic
205	$Pa\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Simple Cubic
206	$Ia\bar{3}$	$2/m \bar{3}$	Cubic	Cubic	Body-Centered Cubic
207	$P432$	$432$	Cubic	Cubic	Simple Cubic
208	$P4_{2}32$	$432$	Cubic	Cubic	Simple Cubic
209	$F432$	$432$	Cubic	Cubic	Face-Centered Cubic
210	$F4_{1}32$	$432$	Cubic	Cubic	Face-Centered Cubic
211	$I432$	$432$	Cubic	Cubic	Body-Centered Cubic
212	$P4_{3}32$	$432$	Cubic	Cubic	Simple Cubic
213	$P4_{1}32$	$432$	Cubic	Cubic	Simple Cubic
214	$I4_{1}32$	$432$	Cubic	Cubic	Body-Centered Cubic
215	$P\bar{4}3m$	$\bar{4}3m$	Cubic	Cubic	Simple Cubic
216	$F\bar{4}3m$	$\bar{4}3m$	Cubic	Cubic	Face-Centered Cubic
217	$I\bar{4}3m$	$\bar{4}3m$	Cubic	Cubic	Body-Centered Cubic
218	$P\bar{4}3n$	$\bar{4}3m$	Cubic	Cubic	Simple Cubic
219	$F\bar{4}3c$	$\bar{4}3m$	Cubic	Cubic	Face-Centered Cubic
220	$I\bar{4}3d$	$\bar{4}3m$	Cubic	Cubic	Body-Centered Cubic
221	$Pm\bar{3}m$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Simple Cubic
222	$Pn\bar{3}n$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Simple Cubic
223	$Pm\bar{3}n$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Simple Cubic
224	$Pn\bar{3}m$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Simple Cubic
225	$Fm\bar{3}m$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Face-Centered Cubic
226	$Fm\bar{3}c$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Face-Centered Cubic
227	$Fd\bar{3}m$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Face-Centered Cubic
228	$Fd\bar{3}c$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Face-Centered Cubic
229	$Im\bar{3}m$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Body-Centered Cubic
230	$Ia\bar{3}d$	$4/m \ \bar{3} \ 2/m$	Cubic	Cubic	Body-Centered Cubic

References and Further Reading

If you have a hard time interpreting the space group symbols, check out this article which explains the various crystallography notation systems, including H-M notation.

If you want to see the other crystallography-related articles I’ve written, here is this list, in recommended reading order:

Introduction to Bravais Lattices
What is the Difference Between “Crystal Structure” and “Bravais Lattice”
Atomic Packing Factor
How to Read Miller Indices
How to Read Hexagonal Miller-Bravais Indices
Close-Packed Crystals and Stacking Order
Interstitial Sites
Primitive Cells
How to Read Crystallography Notation
What are Point Groups
List of Point Groups
What are Space Groups
List of Space Groups
The 7 Crystal Systems

If you are interested in more details about any specific crystal structure, I have written individual articles about simple crystal structures which correspond to each of the 14 Bravais lattices:

1. Simple Cubic
2. Face-Centered Cubic
2a. Diamond Cubic
3. Body-Centered Cubic
4. Simple Hexagonal
4a. Hexagonal Close-Packed
4b. Double Hexagonal Close-Packed (La-type)
5. Rhombohedral
5a. Rhombohedral Close-Packed (Sm-type)
6. Simple Tetragonal
7. Body-Centered Tetragonal
7a. Diamond Tetragonal (White Tin)
8. Simple Orthorhombic
9. Base-Centered Orthorhombic
10. Face-Centered Orthorhombic
11. Body-Centered Orthorhombic
12. Simple Monoclinic
13. Base-Centered Monoclinic
14. Triclinic