Crystallographic point groups: |
Hermann-Maugin |
Schönflies |
In USPEX |
1 |
C |
C1 or E |
2 |
C |
C2 |
222 |
D |
D2 |
4 |
C |
C4 |
3 |
C |
C3 |
6 |
C |
C6 |
23 |
T |
T |
|
S |
S2 |
M |
C |
Ch1 |
mm2 |
C |
Cv2 |
|
S |
S4 |
|
S |
S6 |
|
C |
Ch3 |
m |
T |
Th |
2/m |
C |
Ch2 |
mmm |
D |
Dh2 |
4/m |
C |
Ch4 |
32 |
D |
D3 |
6/m |
C |
Ch6 |
432 |
O |
O |
422 |
D |
D4 |
3m |
C |
Cv3 |
622 |
D |
D6 |
3m |
T |
Td |
4mm |
C |
Cv4 |
m |
D |
Dd3 |
6mm |
C |
Cv6 |
mm |
O |
Oh |
2m |
D |
Dd2 |
2m |
D |
Dh3 |
4/mmm |
D |
Dh4 |
6/mmm |
D |
Dh6 |
mm |
O |
Oh |
|
|
Important non-crystallographic point groups |
Hermann-Maugin |
Schönflies |
In USPEX |
5 |
C |
C5 |
5/m |
S |
S5 |
|
S |
S10 |
5m |
Cv |
Cv5 |
|
Ch |
Ch5 |
52 |
D |
D5 |
m |
D |
Dd5 |
2m |
D |
Dh5 |
532 |
I |
I |
5m |
I |
Ih |
|
|