Space Group → Bravais lattice

The space group of a crystal uniquely determines the Bravais lattice.

 Space Group 

Bravais lattice

1

Triclinic

2

Triclinic

3

Simple Monoclinic

4

Simple Monoclinic

5

Base-Centered Monoclinic

6

Simple Monoclinic

7

Simple Monoclinic

8

Base-Centered Monoclinic

9

Base-Centered Monoclinic

10

Simple Monoclinic

11

Simple Monoclinic

12

Base-Centered Monoclinic

13

Simple Monoclinic

14

Simple Monoclinic

15

Base-Centered Monoclinic

16

Simple Orthorhombic

17

Simple Orthorhombic

18

Simple Orthorhombic

19

Simple Orthorhombic

20

Base-Centered Orthorhombic

21

Base-Centered Orthorhombic

22

Face-Centered Orthorhombic

23

 Body-Centered Orthorhombic 

24

Body-Centered Orthorhombic

25

Simple Orthorhombic

26

Simple Orthorhombic

27

Simple Orthorhombic

28

Simple Orthorhombic

29

Simple Orthorhombic

30

Simple Orthorhombic

31

Simple Orthorhombic

32

Simple Orthorhombic

33

Simple Orthorhombic

34

Simple Orthorhombic

35

Base-Centered Orthorhombic

36

Base-Centered Orthorhombic

37

Base-Centered Orthorhombic

38

Base-Centered Orthorhombic

39

Base-Centered Orthorhombic

40

Base-Centered Orthorhombic

41

Base-Centered Orthorhombic

42

Face-Centered Orthorhombic

43

Face-Centered Orthorhombic

44

Body-Centered Orthorhombic

45

Body-Centered Orthorhombic

46

Body-Centered Orthorhombic

47

Simple Orthorhombic

48

Simple Orthorhombic

49

Simple Orthorhombic

50

Simple Orthorhombic

51

Simple Orthorhombic

52

Simple Orthorhombic

53

Simple Orthorhombic

54

Simple Orthorhombic

55

Simple Orthorhombic

56

Simple Orthorhombic

57

Simple Orthorhombic

58

Simple Orthorhombic

59

Simple Orthorhombic

60

Simple Orthorhombic

61

Simple Orthorhombic

62

Simple Orthorhombic

63

Base-Centered Orthorhombic

64

Base-Centered Orthorhombic

65

Base-Centered Orthorhombic

66

Base-Centered Orthorhombic

67

Base-Centered Orthorhombic

68

Base-Centered Orthorhombic

69

Face-Centered Orthorhombic

70

Face-Centered Orthorhombic

71

Body-Centered Orthorhombic

72

Body-Centered Orthorhombic

73

Body-Centered Orthorhombic

74

Body-Centered Orthorhombic

75

Simple Tetragonal

76

Simple Tetragonal

77

Simple Tetragonal

78

Simple Tetragonal

79

Body-Centered Tetragonal

80

Body-Centered Tetragonal

81

Simple Tetragonal

82

Body-Centered Tetragonal

83

Simple Tetragonal

84

Simple Tetragonal

85

Simple Tetragonal

86

Simple Tetragonal

87

Body-Centered Tetragonal

88

Body-Centered Tetragonal

89

Simple Tetragonal

90

Simple Tetragonal

91

Simple Tetragonal

92

Simple Tetragonal

93

Simple Tetragonal

94

Simple Tetragonal

95

Simple Tetragonal

96

Simple Tetragonal

97

Body-Centered Tetragonal

98

Body-Centered Tetragonal

99

Simple Tetragonal

100

Simple Tetragonal

101

Simple Tetragonal

102

Simple Tetragonal

103

Simple Tetragonal

104

Simple Tetragonal

105

Simple Tetragonal

106

Simple Tetragonal

107

Body-Centered Tetragonal

108

Body-Centered Tetragonal

109

Body-Centered Tetragonal

110

Body-Centered Tetragonal

111

Simple Tetragonal

112

Simple Tetragonal

113

Simple Tetragonal

114

Simple Tetragonal

115

Simple Tetragonal

116

Simple Tetragonal

117

Simple Tetragonal

118

Simple Tetragonal

119

Body-Centered Tetragonal

120

Body-Centered Tetragonal

121

Body-Centered Tetragonal

122

Body-Centered Tetragonal

123

Simple Tetragonal

124

Simple Tetragonal

125

Simple Tetragonal

126

Simple Tetragonal

127

Simple Tetragonal

128

Simple Tetragonal

129

Simple Tetragonal

130

Simple Tetragonal

131

Simple Tetragonal

132

Simple Tetragonal

133

Simple Tetragonal

134

Simple Tetragonal

135

Simple Tetragonal

136

Simple Tetragonal

137

Simple Tetragonal

138

Simple Tetragonal

139

Body-Centered Tetragonal

140

Body-Centered Tetragonal

141

Body-Centered Tetragonal

142

Body-Centered Tetragonal

143

Hexagonal

144

Hexagonal

145

Hexagonal

146

Rhombohedral

147

Hexagonal

148

Rhombohedral

149

Hexagonal

150

Hexagonal

151

Hexagonal

152

Hexagonal

153

Hexagonal

154

Hexagonal

155

Rhombohedral

156

Hexagonal

157

Hexagonal

158

Hexagonal

159

Hexagonal

160

Rhombohedral

161

Rhombohedral

162

Hexagonal

163

Hexagonal

164

Hexagonal

165

Hexagonal

166

Rhombohedral

167

Rhombohedral

168

Hexagonal

169

Hexagonal

170

Hexagonal

171

Hexagonal

172

Hexagonal

173

Hexagonal

174

Hexagonal

175

Hexagonal

176

Hexagonal

177

Hexagonal

178

Hexagonal

179

Hexagonal

180

Hexagonal

181

Hexagonal

182

Hexagonal

183

Hexagonal

184

Hexagonal

185

Hexagonal

186

Hexagonal

187

Hexagonal

188

Hexagonal

189

Hexagonal

190

Hexagonal

191

Hexagonal

192

Hexagonal

193

Hexagonal

194

Hexagonal

195

Simple Cubic

196

Face-Centered Cubic

197

Body-Centered Cubic

198

Simple Cubic

199

Body-Centered Cubic

200

Simple Cubic

201

Simple Cubic

202

Face-Centered Cubic

203

Face-Centered Cubic

204

Body-Centered Cubic

205

Simple Cubic

206

Body-Centered Cubic

207

Simple Cubic

208

Simple Cubic

209

Face-Centered Cubic

210

Face-Centered Cubic

211

Body-Centered Cubic

212

Simple Cubic

213

Simple Cubic

214

Body-Centered Cubic

215

Simple Cubic

216

Face-Centered Cubic

217

Body-Centered Cubic

218

Simple Cubic

219

Face-Centered Cubic

220

Body-Centered Cubic

221

Simple Cubic

222

Simple Cubic

223

Simple Cubic

224

Simple Cubic

225

Face-Centered Cubic

226

Face-Centered Cubic

227

Face-Centered Cubic

228

Face-Centered Cubic

229

Body-Centered Cubic

230

Body-Centered Cubic