USPEX 10.5 manual
USPEX 10.5 manual : Appendices : List of point groups

9.7 List of point groups

List of all crystallographic and the most important non-crystallographic point groups in Schönflies and Hermann-Mauguin (international) notations.

Crystallographic point groups:

Hermann-Maugin

Schönflies

In USPEX

1

C$_1$

C1 or E

2

C$_2$

C2

222

D$_2$

D2

4

C$_4$

C4

3

C$_3$

C3

6

C$_6$

C6

23

T

T

$\overline{1}$

S$_2$

S2

M

C$_{1h}$

Ch1

mm2

C$_{2v}$

Cv2

$\overline{2}$

S$_4$

S4

$\overline{3}$

S$_6$

S6

$\overline{6}$

C$_{3h}$

Ch3

m$\overline{3}$

T$_ h$

Th

2/m

C$_{2h}$

Ch2

mmm

D$_{2h}$

Dh2

4/m

C$_{4h}$

Ch4

32

D$_3$

D3

6/m

C$_{6h}$

Ch6

432

O

O

422

D$_4$

D4

3m

C$_{3v}$

Cv3

622

D$_6$

D6

$\overline{4}$3m

T$_ d$

Td

4mm

C$_{4v}$

Cv4

$\overline{3}$m

D$_{3d}$

Dd3

6mm

C$_{6v}$

Cv6

m$\overline{3}$m

O$_ h$

Oh

$\overline{4}$2m

D$_{2d}$

Dd2

$\overline{6}$2m

D$_{3h}$

Dh3

4/mmm

D$_{4h}$

Dh4

6/mmm

D$_{6h}$

Dh6

m$\overline{3}$m

O$_ h$

Oh

Important non-crystallographic point groups

Hermann-Maugin

Schönflies

In USPEX

5

C$_5$

C5

5/m

S$_5$

S5

$\overline{5}$

S$_{10}$

S10

5m

Cv$_{5v}$

Cv5

$\overline{10}$

Ch$_{5h}$

Ch5

52

D$_5$

D5

$\overline{5}$m

D$_{5d}$

Dd5

$\overline{10}$2m

D$_{5h}$

Dh5

532

I

I

5$\overline{3}$m

I$_ h$

Ih


USPEX 10.5 manual