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D4 Point Group
|
| not Abelian, 5(6) irreducible representations | |
Subgroups of D4 point group: C2, C4, D2 |
Character table for D4 point group
|
E |
2C4 (z) |
C2 (z) |
2C'2 |
2C''2 |
linear functions,
rotations |
quadratic
functions |
| A1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
| A2 |
1 |
1 |
1 |
-1 |
-1 |
z, Rz |
|
| B1 |
1 |
-1 |
1 |
1 |
-1 |
|
x2-y2 |
| B2 |
1 |
-1 |
1 |
-1 |
1 |
|
xy |
| E |
2 |
0 |
-2 |
0 |
0 |
(x, y) (Rx, Ry) |
(xz, yz) |
Product table for D4 point group| | A1 | A2 | B1 | B2 | E |
|---|
| A1 | A1 | A2 | B1 | B2 | E |
|---|
| A2 | A2 | A1 | B2 | B1 | E |
|---|
| B1 | B1 | B2 | A1 | A2 | E |
|---|
| B2 | B2 | B1 | A2 | A1 | E |
|---|
| E | E | E | E | E | A1+A2+B1+B2 |
|---|
|
