No.
|
Symbol
|
KE
|
KI
|
q
|
Conventional basis
|
Centring translation(s)
|
Ref. a
|
Ref. b
|
Triclinic
|
1
|
P(αβγ)
|
|
|
(αβγ)
|
(100), (010), (001), (αβγ)
|
|
I P
|
I/I
|
Monoclinic
|
2
|
2/mP(αβ0)
|
2/m
|
|
(αβ0)
|
(100), (010), (001), (αβ0)
|
|
II P
|
II/I
|
3
|
2/mP(αβ)
|
2/m
|
|
(αβ)
|
(100), (010), (00), (αβ0)
|
00
|
II I
|
II/II
|
4
|
2/mB(αβ0)
|
2/m
|
|
(αβ0)
|
(100), (010), (001), (αβ0)
|
|
II I
|
II/II
|
5
|
2/mP(00γ)
|
2/m
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
|
III P
|
III/I
|
6
|
2/mP(0γ)
|
2/m
|
|
(0γ)
|
(00), (010), (001), (00γ)
|
00
|
III I
|
III/II
|
7
|
2/mB(00γ)
|
2/m
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
00
|
III I
|
III/II
|
8
|
2/mB(0γ)
|
2/m
|
|
(0γ)
|
(100), (00), (001), (00γ)
|
00, 00
|
III G
|
III/III
|
Orthorhombic
|
9
|
mmmP(00γ)
|
mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
|
IV P
|
IV/I
|
10
|
mmmP(0γ)
|
mmm
|
|
(0γ)
|
(100), (00), (001), (00γ)
|
00
|
IV B
|
IV/III
|
11
|
mmmP(γ)
|
mmm
|
|
(γ)
|
(00), (00), (001), (00γ)
|
00, 00
|
IV F
|
IV/VI
|
12
|
mmmI(00γ)
|
mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
0
|
IV I
|
IV/IV
|
13
|
mmmC(00γ)
|
mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
00
|
IV C
|
IV/II
|
14
|
mmmC(10γ)
|
mmm
|
|
(10γ)
|
(100), (010), (001), (00γ)
|
0
|
IV I
|
IV/IV
|
15
|
mmmA(00γ)
|
mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
00
|
IV B
|
IV/III
|
16
|
mmmA(0γ)
|
mmm
|
|
(0γ)
|
(00), (010), (001), (00γ)
|
00, 00
|
IV G
|
IV/V
|
17
|
mmmF(00γ)
|
mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
00, 00
|
IV F
|
IV/VI
|
18
|
mmmF(10γ)
|
mmm
|
|
(10γ)
|
(100), (010), (001), (00γ)
|
0, 0
|
IV G
|
IV/V
|
Tetragonal
|
19
|
4/mmmP(00γ)
|
4/mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
|
VII P
|
VI/I
|
20
|
4/mmmP(γ)
|
4/mmm
|
|
(γ)
|
(0), (0), (001), (00γ)
|
0
|
VII I
|
VI/II
|
21
|
4/mmmI(00γ)
|
4/mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
0
|
VII I
|
VI/II
|
Trigonal
|
22
|
mR(00γ)
|
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
0
|
VI P
|
VII/I
|
23
|
1mP(γ)
|
|
|
(γ)
|
(0), (0), (001), (00γ)
|
0
|
VI P
|
VII/I
|
Hexagonal
|
24
|
6/mmmP(00γ)
|
6/mmm
|
|
(00γ)
|
(100), (010), (001), (00γ)
|
|
V P
|
VII/II
|
No.
|
Symbol
|
KE
|
KI
|
q
|
Conventional basis
|
Centring translation(s)
|
Ref. a
|
Triclinic
|
1
|
P(000)
|
|
|
(000)
|
(100), (010), (001)
|
|
II P
|
2
|
P()
|
|
|
()
|
(), (),
|
|
II I
|
Monoclinic
|
3
|
2/mP(000)
|
2/m1
|
|
(000)
|
(100), (010), (001)
|
|
IV P
|
4
|
2/mP(0)
|
2/m1
|
|
(0)
|
(0), (0), (001)
|
0
|
IV B
|
5
|
2/mP(00)
|
2/m1
|
|
(00)
|
(100), (010), (00)
|
00
|
IV C
|
6
|
2/mP()
|
2/m1
|
|
()
|
(0), (0), (00)
|
0, 00
|
IV F
|
7
|
2/mB(000)
|
2/m1
|
|
(000)
|
(100), (010), (001)
|
00
|
IV B
|
8
|
2/mB(100)
|
2/m1
|
|
(100)
|
(100), (010), (001)
|
0
|
IV I
|
9
|
2/mB(00)
|
2/m1
|
|
(00)
|
(100), (00), (001)
|
00, 00
|
IV G
|
Orthorhombic
|
10
|
mmmP(000)
|
mmm1
|
|
(000)
|
(100), (010), (001)
|
|
VIII P
|
11
|
mmmP(00)
|
mmm1
|
|
(00)
|
(100), (010), (00)
|
00
|
VIII A
|
12
|
mmmP(0)
|
mmm1
|
|
(0)
|
(100), (00), (00)
|
00, 00
|
VIII F
|
13
|
mmmP()
|
mmm1
|
|
()
|
(00), (00), (00)
|
00, 00, 00
|
VIII S
|
14
|
mmmI(000)
|
mmm1
|
|
(000)
|
(100), (010), (001)
|
0
|
VIII E
|
15
|
mmmI(111)
|
mmm1
|
|
(111)
|
(100), (010), (001)
|
|
VIII I
|
16
|
mmmI()
|
mmm
|
|
()
|
(00), (00), (00)
|
, ,
|
VIII K
|
17
|
mmmF(000)
|
mmm1
|
|
(000)
|
(100), (010), (001)
|
00, 00
|
VIII F
|
18
|
mmmF(001)
|
mmm1
|
|
(001)
|
(100), (010), (001)
|
00, 0
|
VIII H
|
19
|
mmmC(000)
|
mmm1
|
|
(000)
|
(100), (010), (001)
|
00
|
VIII A
|
20
|
mmmC(100)
|
mmm1
|
|
(100)
|
(100), (010), (001)
|
0
|
VIII E
|
21
|
mmmC(00)
|
mmm1
|
|
(00)
|
(100), (010), (00)
|
00, 00
|
VIII G
|
22
|
mmmC(10)
|
mmm1
|
|
(10)
|
(100), (010), (00)
|
0, 0
|
VIII H
|
Tetragonal
|
23
|
4/mmmP(000)
|
4/mmm1
|
|
(000)
|
(100), (010), (001)
|
|
XII P
|
24
|
4/mmmP(00)
|
4/mmm1
|
|
(00)
|
(100), (010), (00)
|
00
|
XII A
|
25
|
4/mmmP(0)
|
4/mmm1
|
|
(0)
|
(0), (0), (001)
|
0
|
XII E
|
26
|
4/mmmP()
|
4/mmm1
|
|
()
|
(0), (0), (00)
|
0, 00
|
XII H
|
27
|
4/mmmI(000)
|
4/mmm1
|
|
(000)
|
(100), (010), (001)
|
0
|
XII E
|
28
|
4/mmmI(111)
|
4/mmm1
|
|
(111)
|
(100), (010), (001)
|
|
XII I
|
29
|
4/mmmI()
|
4/mmm
|
|
()
|
(100), (010), (001)
|
|
XII N
|
Trigonal
|
30
|
m1R(000)
|
|
|
(000)
|
(100), (010), (001)
|
0
|
X R
|
31
|
m1R(00)
|
|
|
(00)
|
(100), (010), (00)
|
00,
|
X RI
|
Hexagonal
|
32
|
6/mmmP(000)
|
6/mmm1
|
|
(000)
|
(100), (010), (001)
|
|
X P
|
33
|
6/mmmP(00)
|
6/mmm1
|
|
(00)
|
(100), (010), (00)
|
00
|
X A
|
34
|
6/mmmP(0)
|
6/mmm
|
|
(0)
|
(0), (0), (001)
|
0
|
X R
|
35
|
6/mmmP()
|
6/mmm
|
|
()
|
(0), (0), (00)
|
0, 00
|
X RI
|
Cubic
|
36
|
m3mP(000)
|
|
|
(000)
|
(100), (010), (001)
|
|
XIV P
|
37
|
m3mP()
|
|
|
()
|
(00), (00), (00)
|
00, 00, 00
|
XIV S
|
38
|
m3mI(000)
|
|
|
(000)
|
(100), (010), (001)
|
0
|
XIV V
|
39
|
m3mI(111)
|
|
|
(111)
|
(100), (010), (001)
|
|
XIV I
|
40
|
m3mI()
|
|
|
()
|
(00), (00), (00)
|
, ,
|
XIV K
|
41
|
m3mF(000)
|
|
|
(000)
|
(100), (010), (001)
|
00, 00
|
XIV F
|
|