Point Group D7d
Quaternary direct products
A1g⊙A1g⊙
⊙ |
A1g |
A2g |
E1g |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
A1g |
A1g |
|
|
|
|
|
|
|
|
|
A2g |
A2g |
A1g |
|
|
|
|
|
|
|
|
E1g |
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
|
E2g |
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
|
|
|
|
|
E3g |
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
|
|
|
|
|
A1u |
A1u |
A2u |
E1u |
E2u |
E3u |
A1g |
|
|
|
|
A2u |
A2u |
A1u |
E1u |
E2u |
E3u |
A2g |
A1g |
|
|
|
E1u |
E1u |
E1u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
E2u |
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
E3u |
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
A1g⊙A2g⊙
⊙ |
A2g |
E1g |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
A2g |
A2g |
|
|
|
|
|
|
|
|
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
|
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
|
|
|
|
|
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
|
|
|
|
|
A1u |
A1u |
E1u |
E2u |
E3u |
A2g |
|
|
|
|
A2u |
A2u |
E1u |
E2u |
E3u |
A1g |
A2g |
|
|
|
E1u |
E1u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
A1g⊙E1g⊙
⊙ |
E1g |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E1g |
3E1g⊕E3g |
|
|
|
|
|
|
|
E2g |
A1g⊕A2g⊕2E2g⊕E3g |
2E1g⊕E2g⊕E3g |
|
|
|
|
|
|
E3g |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕E2g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
|
|
|
|
A2u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
E1g |
|
|
|
E1u |
3E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
E1u⊕E2u⊕2E3u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
3E1g⊕E3g |
|
|
E2u |
A1u⊕A2u⊕2E2u⊕E3u |
2E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
E1g⊕E3g |
E1g⊕E3g |
A1g⊕A2g⊕2E2g⊕E3g |
2E1g⊕E2g⊕E3g |
|
E3u |
E1u⊕E2u⊕2E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕E2u |
E2g⊕E3g |
E2g⊕E3g |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕E2g |
A1g⊙E2g⊙
⊙ |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E2g |
E1g⊕3E2g |
|
|
|
|
|
|
E3g |
A1g⊕A2g⊕E1g⊕2E3g |
E1g⊕2E2g⊕E3g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
|
|
|
|
A2u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
E2g |
|
|
|
E1u |
2E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
E1g⊕E3g |
E1g⊕E3g |
A1g⊕A2g⊕2E2g⊕E3g |
|
|
E2u |
E1u⊕3E2u |
A1u⊕A2u⊕E1u⊕2E3u |
A1g⊕A2g⊕E3g |
A1g⊕A2g⊕E3g |
2E1g⊕E2g⊕E3g |
E1g⊕3E2g |
|
E3u |
A1u⊕A2u⊕E1u⊕2E3u |
E1u⊕2E2u⊕E3u |
E1g⊕E2g |
E1g⊕E2g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕2E3g |
E1g⊕2E2g⊕E3g |
A1g⊙E3g⊙
⊙ |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E3g |
E2g⊕3E3g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕E1u |
E3g |
|
|
|
|
A2u |
A1u⊕A2u⊕E1u |
E3g |
E3g |
|
|
|
E1u |
A1u⊕A2u⊕2E1u⊕E2u |
E2g⊕E3g |
E2g⊕E3g |
E1g⊕E2g⊕2E3g |
|
|
E2u |
E1u⊕2E2u⊕E3u |
E1g⊕E2g |
E1g⊕E2g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕2E3g |
|
E3u |
E2u⊕3E3u |
A1g⊕A2g⊕E1g |
A1g⊕A2g⊕E1g |
A1g⊕A2g⊕2E1g⊕E2g |
E1g⊕2E2g⊕E3g |
E2g⊕3E3g |
A1g⊙A1u⊙
⊙ |
A1u |
A2u |
E1u |
E2u |
E3u |
A1u |
A1u |
|
|
|
|
A2u |
A2u |
A1u |
|
|
|
E1u |
E1u |
E1u |
A1u⊕A2u⊕E2u |
|
|
E2u |
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
|
E3u |
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
A1g⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
A2u |
|
|
|
E1u |
E1u |
A1u⊕A2u⊕E2u |
|
|
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
|
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
A1g⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
3E1u⊕E3u |
|
|
E2u |
A1u⊕A2u⊕2E2u⊕E3u |
2E1u⊕E2u⊕E3u |
|
E3u |
E1u⊕E2u⊕2E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕E2u |
A1g⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
E1u⊕3E2u |
|
E3u |
A1u⊕A2u⊕E1u⊕2E3u |
E1u⊕2E2u⊕E3u |
A1g⊙E3u⊙
⊙ |
E3u |
E3u |
E2u⊕3E3u |
A2g⊙A2g⊙
⊙ |
A2g |
E1g |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
A2g |
A1g |
|
|
|
|
|
|
|
|
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
|
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
|
|
|
|
|
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
|
|
|
|
|
A1u |
A2u |
E1u |
E2u |
E3u |
A1g |
|
|
|
|
A2u |
A1u |
E1u |
E2u |
E3u |
A2g |
A1g |
|
|
|
E1u |
E1u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
A2g⊙E1g⊙
⊙ |
E1g |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E1g |
3E1g⊕E3g |
|
|
|
|
|
|
|
E2g |
A1g⊕A2g⊕2E2g⊕E3g |
2E1g⊕E2g⊕E3g |
|
|
|
|
|
|
E3g |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕E2g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
|
|
|
|
A2u |
A1u⊕A2u⊕E2u |
E1u⊕E3u |
E2u⊕E3u |
E1g |
E1g |
|
|
|
E1u |
3E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
E1u⊕E2u⊕2E3u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
3E1g⊕E3g |
|
|
E2u |
A1u⊕A2u⊕2E2u⊕E3u |
2E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
E1g⊕E3g |
E1g⊕E3g |
A1g⊕A2g⊕2E2g⊕E3g |
2E1g⊕E2g⊕E3g |
|
E3u |
E1u⊕E2u⊕2E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕E2u |
E2g⊕E3g |
E2g⊕E3g |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕E2g |
A2g⊙E2g⊙
⊙ |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E2g |
E1g⊕3E2g |
|
|
|
|
|
|
E3g |
A1g⊕A2g⊕E1g⊕2E3g |
E1g⊕2E2g⊕E3g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
|
|
|
|
A2u |
A1u⊕A2u⊕E3u |
E1u⊕E2u |
E2g |
E2g |
|
|
|
E1u |
2E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
E1g⊕E3g |
E1g⊕E3g |
A1g⊕A2g⊕2E2g⊕E3g |
|
|
E2u |
E1u⊕3E2u |
A1u⊕A2u⊕E1u⊕2E3u |
A1g⊕A2g⊕E3g |
A1g⊕A2g⊕E3g |
2E1g⊕E2g⊕E3g |
E1g⊕3E2g |
|
E3u |
A1u⊕A2u⊕E1u⊕2E3u |
E1u⊕2E2u⊕E3u |
E1g⊕E2g |
E1g⊕E2g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕2E3g |
E1g⊕2E2g⊕E3g |
A2g⊙E3g⊙
⊙ |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E3g |
E2g⊕3E3g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕E1u |
E3g |
|
|
|
|
A2u |
A1u⊕A2u⊕E1u |
E3g |
E3g |
|
|
|
E1u |
A1u⊕A2u⊕2E1u⊕E2u |
E2g⊕E3g |
E2g⊕E3g |
E1g⊕E2g⊕2E3g |
|
|
E2u |
E1u⊕2E2u⊕E3u |
E1g⊕E2g |
E1g⊕E2g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕2E3g |
|
E3u |
E2u⊕3E3u |
A1g⊕A2g⊕E1g |
A1g⊕A2g⊕E1g |
A1g⊕A2g⊕2E1g⊕E2g |
E1g⊕2E2g⊕E3g |
E2g⊕3E3g |
A2g⊙A1u⊙
⊙ |
A1u |
A2u |
E1u |
E2u |
E3u |
A1u |
A2u |
|
|
|
|
A2u |
A1u |
A2u |
|
|
|
E1u |
E1u |
E1u |
A1u⊕A2u⊕E2u |
|
|
E2u |
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
|
E3u |
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
A2g⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
A1u |
|
|
|
E1u |
E1u |
A1u⊕A2u⊕E2u |
|
|
E2u |
E2u |
E1u⊕E3u |
A1u⊕A2u⊕E3u |
|
E3u |
E3u |
E2u⊕E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u |
A2g⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
3E1u⊕E3u |
|
|
E2u |
A1u⊕A2u⊕2E2u⊕E3u |
2E1u⊕E2u⊕E3u |
|
E3u |
E1u⊕E2u⊕2E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕E2u |
A2g⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
E1u⊕3E2u |
|
E3u |
A1u⊕A2u⊕E1u⊕2E3u |
E1u⊕2E2u⊕E3u |
A2g⊙E3u⊙
⊙ |
E3u |
E3u |
E2u⊕3E3u |
E1g⊙E1g⊙
⊙ |
E1g |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E1g |
3A1g⊕3A2g⊕4E2g⊕E3g |
|
|
|
|
|
|
|
E2g |
4E1g⊕E2g⊕3E3g |
2A1g⊕2A2g⊕E1g⊕3E2g⊕2E3g |
|
|
|
|
|
|
E3g |
A1g⊕A2g⊕E1g⊕3E2g⊕3E3g |
A1g⊕A2g⊕3E1g⊕2E2g⊕2E3g |
2A1g⊕2A2g⊕3E1g⊕2E2g⊕E3g |
|
|
|
|
|
A1u |
3E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
E1u⊕E2u⊕2E3u |
A1g⊕A2g⊕E2g |
|
|
|
|
A2u |
3E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
E1u⊕E2u⊕2E3u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
|
|
|
E1u |
3A1u⊕3A2u⊕4E2u⊕E3u |
4E1u⊕E2u⊕3E3u |
A1u⊕A2u⊕E1u⊕3E2u⊕3E3u |
3E1g⊕E3g |
3E1g⊕E3g |
3A1g⊕3A2g⊕4E2g⊕E3g |
|
|
E2u |
4E1u⊕E2u⊕3E3u |
2A1u⊕2A2u⊕E1u⊕3E2u⊕2E3u |
A1u⊕A2u⊕3E1u⊕2E2u⊕2E3u |
A1g⊕A2g⊕2E2g⊕E3g |
A1g⊕A2g⊕2E2g⊕E3g |
4E1g⊕E2g⊕3E3g |
2A1g⊕2A2g⊕E1g⊕3E2g⊕2E3g |
|
E3u |
A1u⊕A2u⊕E1u⊕3E2u⊕3E3u |
A1u⊕A2u⊕3E1u⊕2E2u⊕2E3u |
2A1u⊕2A2u⊕3E1u⊕2E2u⊕E3u |
E1g⊕E2g⊕2E3g |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕3E2g⊕3E3g |
A1g⊕A2g⊕3E1g⊕2E2g⊕2E3g |
2A1g⊕2A2g⊕3E1g⊕2E2g⊕E3g |
E1g⊙E2g⊙
⊙ |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E2g |
A1g⊕A2g⊕3E1g⊕E2g⊕3E3g |
|
|
|
|
|
|
E3g |
A1g⊕A2g⊕2E1g⊕3E2g⊕2E3g |
A1g⊕A2g⊕2E1g⊕2E2g⊕3E3g |
|
|
|
|
|
A1u |
2E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
E1g⊕E3g |
|
|
|
|
A2u |
2E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
E1g⊕E3g |
E1g⊕E3g |
|
|
|
E1u |
2A1u⊕2A2u⊕E1u⊕3E2u⊕2E3u |
A1u⊕A2u⊕3E1u⊕2E2u⊕2E3u |
A1g⊕A2g⊕2E2g⊕E3g |
A1g⊕A2g⊕2E2g⊕E3g |
4E1g⊕E2g⊕3E3g |
|
|
E2u |
A1u⊕A2u⊕3E1u⊕E2u⊕3E3u |
A1u⊕A2u⊕2E1u⊕3E2u⊕2E3u |
2E1g⊕E2g⊕E3g |
2E1g⊕E2g⊕E3g |
2A1g⊕2A2g⊕E1g⊕3E2g⊕2E3g |
A1g⊕A2g⊕3E1g⊕E2g⊕3E3g |
|
E3u |
A1u⊕A2u⊕2E1u⊕3E2u⊕2E3u |
A1u⊕A2u⊕2E1u⊕2E2u⊕3E3u |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕3E1g⊕2E2g⊕2E3g |
A1g⊕A2g⊕2E1g⊕3E2g⊕2E3g |
A1g⊕A2g⊕2E1g⊕2E2g⊕3E3g |
E1g⊙E3g⊙
⊙ |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E3g |
E1g⊕3E2g⊕4E3g |
|
|
|
|
|
A1u |
A1u⊕A2u⊕2E1u⊕E2u |
E2g⊕E3g |
|
|
|
|
A2u |
A1u⊕A2u⊕2E1u⊕E2u |
E2g⊕E3g |
E2g⊕E3g |
|
|
|
E1u |
2A1u⊕2A2u⊕3E1u⊕2E2u⊕E3u |
E1g⊕E2g⊕2E3g |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕3E2g⊕3E3g |
|
|
E2u |
A1u⊕A2u⊕2E1u⊕2E2u⊕3E3u |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕3E1g⊕2E2g⊕2E3g |
A1g⊕A2g⊕2E1g⊕3E2g⊕2E3g |
|
E3u |
E1u⊕3E2u⊕4E3u |
A1g⊕A2g⊕2E1g⊕E2g |
A1g⊕A2g⊕2E1g⊕E2g |
2A1g⊕2A2g⊕3E1g⊕2E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕2E2g⊕3E3g |
E1g⊕3E2g⊕4E3g |
E1g⊙A1u⊙
⊙ |
A1u |
A2u |
E1u |
E2u |
E3u |
A1u |
E1u |
|
|
|
|
A2u |
E1u |
E1u |
|
|
|
E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
3E1u⊕E3u |
|
|
E2u |
E1u⊕E3u |
E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
2E1u⊕E2u⊕E3u |
|
E3u |
E2u⊕E3u |
E2u⊕E3u |
E1u⊕E2u⊕2E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕E2u |
E1g⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
E1u |
|
|
|
E1u |
A1u⊕A2u⊕E2u |
3E1u⊕E3u |
|
|
E2u |
E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
2E1u⊕E2u⊕E3u |
|
E3u |
E2u⊕E3u |
E1u⊕E2u⊕2E3u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕E2u |
E1g⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
3A1u⊕3A2u⊕4E2u⊕E3u |
|
|
E2u |
4E1u⊕E2u⊕3E3u |
2A1u⊕2A2u⊕E1u⊕3E2u⊕2E3u |
|
E3u |
A1u⊕A2u⊕E1u⊕3E2u⊕3E3u |
A1u⊕A2u⊕3E1u⊕2E2u⊕2E3u |
2A1u⊕2A2u⊕3E1u⊕2E2u⊕E3u |
E1g⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
A1u⊕A2u⊕3E1u⊕E2u⊕3E3u |
|
E3u |
A1u⊕A2u⊕2E1u⊕3E2u⊕2E3u |
A1u⊕A2u⊕2E1u⊕2E2u⊕3E3u |
E1g⊙E3u⊙
⊙ |
E3u |
E3u |
E1u⊕3E2u⊕4E3u |
E2g⊙E2g⊙
⊙ |
E2g |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E2g |
3A1g⊕3A2g⊕E1g⊕4E3g |
|
|
|
|
|
|
E3g |
3E1g⊕4E2g⊕E3g |
2A1g⊕2A2g⊕2E1g⊕E2g⊕3E3g |
|
|
|
|
|
A1u |
E1u⊕3E2u |
A1u⊕A2u⊕E1u⊕2E3u |
A1g⊕A2g⊕E3g |
|
|
|
|
A2u |
E1u⊕3E2u |
A1u⊕A2u⊕E1u⊕2E3u |
A1g⊕A2g⊕E3g |
A1g⊕A2g⊕E3g |
|
|
|
E1u |
A1u⊕A2u⊕3E1u⊕E2u⊕3E3u |
A1u⊕A2u⊕2E1u⊕3E2u⊕2E3u |
2E1g⊕E2g⊕E3g |
2E1g⊕E2g⊕E3g |
2A1g⊕2A2g⊕E1g⊕3E2g⊕2E3g |
|
|
E2u |
3A1u⊕3A2u⊕E1u⊕4E3u |
3E1u⊕4E2u⊕E3u |
E1g⊕3E2g |
E1g⊕3E2g |
A1g⊕A2g⊕3E1g⊕E2g⊕3E3g |
3A1g⊕3A2g⊕E1g⊕4E3g |
|
E3u |
3E1u⊕4E2u⊕E3u |
2A1u⊕2A2u⊕2E1u⊕E2u⊕3E3u |
A1g⊕A2g⊕E1g⊕2E3g |
A1g⊕A2g⊕E1g⊕2E3g |
A1g⊕A2g⊕2E1g⊕3E2g⊕2E3g |
3E1g⊕4E2g⊕E3g |
2A1g⊕2A2g⊕2E1g⊕E2g⊕3E3g |
E2g⊙E3g⊙
⊙ |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E3g |
A1g⊕A2g⊕3E1g⊕3E2g⊕E3g |
|
|
|
|
|
A1u |
E1u⊕2E2u⊕E3u |
E1g⊕E2g |
|
|
|
|
A2u |
E1u⊕2E2u⊕E3u |
E1g⊕E2g |
E1g⊕E2g |
|
|
|
E1u |
A1u⊕A2u⊕2E1u⊕2E2u⊕3E3u |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕3E1g⊕2E2g⊕2E3g |
|
|
E2u |
2A1u⊕2A2u⊕2E1u⊕E2u⊕3E3u |
A1g⊕A2g⊕E1g⊕2E3g |
A1g⊕A2g⊕E1g⊕2E3g |
A1g⊕A2g⊕2E1g⊕3E2g⊕2E3g |
3E1g⊕4E2g⊕E3g |
|
E3u |
A1u⊕A2u⊕3E1u⊕3E2u⊕E3u |
E1g⊕2E2g⊕E3g |
E1g⊕2E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕2E2g⊕3E3g |
2A1g⊕2A2g⊕2E1g⊕E2g⊕3E3g |
A1g⊕A2g⊕3E1g⊕3E2g⊕E3g |
E2g⊙A1u⊙
⊙ |
A1u |
A2u |
E1u |
E2u |
E3u |
A1u |
E2u |
|
|
|
|
A2u |
E2u |
E2u |
|
|
|
E1u |
E1u⊕E3u |
E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
|
|
E2u |
A1u⊕A2u⊕E3u |
A1u⊕A2u⊕E3u |
2E1u⊕E2u⊕E3u |
E1u⊕3E2u |
|
E3u |
E1u⊕E2u |
E1u⊕E2u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕2E3u |
E1u⊕2E2u⊕E3u |
E2g⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
E2u |
|
|
|
E1u |
E1u⊕E3u |
A1u⊕A2u⊕2E2u⊕E3u |
|
|
E2u |
A1u⊕A2u⊕E3u |
2E1u⊕E2u⊕E3u |
E1u⊕3E2u |
|
E3u |
E1u⊕E2u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕2E3u |
E1u⊕2E2u⊕E3u |
E2g⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
4E1u⊕E2u⊕3E3u |
|
|
E2u |
2A1u⊕2A2u⊕E1u⊕3E2u⊕2E3u |
A1u⊕A2u⊕3E1u⊕E2u⊕3E3u |
|
E3u |
A1u⊕A2u⊕3E1u⊕2E2u⊕2E3u |
A1u⊕A2u⊕2E1u⊕3E2u⊕2E3u |
A1u⊕A2u⊕2E1u⊕2E2u⊕3E3u |
E2g⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
3A1u⊕3A2u⊕E1u⊕4E3u |
|
E3u |
3E1u⊕4E2u⊕E3u |
2A1u⊕2A2u⊕2E1u⊕E2u⊕3E3u |
E2g⊙E3u⊙
⊙ |
E3u |
E3u |
A1u⊕A2u⊕3E1u⊕3E2u⊕E3u |
E3g⊙E3g⊙
⊙ |
E3g |
A1u |
A2u |
E1u |
E2u |
E3u |
E3g |
3A1g⊕3A2g⊕4E1g⊕E2g |
|
|
|
|
|
A1u |
E2u⊕3E3u |
A1g⊕A2g⊕E1g |
|
|
|
|
A2u |
E2u⊕3E3u |
A1g⊕A2g⊕E1g |
A1g⊕A2g⊕E1g |
|
|
|
E1u |
E1u⊕3E2u⊕4E3u |
A1g⊕A2g⊕2E1g⊕E2g |
A1g⊕A2g⊕2E1g⊕E2g |
2A1g⊕2A2g⊕3E1g⊕2E2g⊕E3g |
|
|
E2u |
A1u⊕A2u⊕3E1u⊕3E2u⊕E3u |
E1g⊕2E2g⊕E3g |
E1g⊕2E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕2E2g⊕3E3g |
2A1g⊕2A2g⊕2E1g⊕E2g⊕3E3g |
|
E3u |
3A1u⊕3A2u⊕4E1u⊕E2u |
E2g⊕3E3g |
E2g⊕3E3g |
E1g⊕3E2g⊕4E3g |
A1g⊕A2g⊕3E1g⊕3E2g⊕E3g |
3A1g⊕3A2g⊕4E1g⊕E2g |
E3g⊙A1u⊙
⊙ |
A1u |
A2u |
E1u |
E2u |
E3u |
A1u |
E3u |
|
|
|
|
A2u |
E3u |
E3u |
|
|
|
E1u |
E2u⊕E3u |
E2u⊕E3u |
E1u⊕E2u⊕2E3u |
|
|
E2u |
E1u⊕E2u |
E1u⊕E2u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕2E3u |
|
E3u |
A1u⊕A2u⊕E1u |
A1u⊕A2u⊕E1u |
A1u⊕A2u⊕2E1u⊕E2u |
E1u⊕2E2u⊕E3u |
E2u⊕3E3u |
E3g⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
E3u |
|
|
|
E1u |
E2u⊕E3u |
E1u⊕E2u⊕2E3u |
|
|
E2u |
E1u⊕E2u |
A1u⊕A2u⊕E1u⊕E2u⊕E3u |
A1u⊕A2u⊕E1u⊕2E3u |
|
E3u |
A1u⊕A2u⊕E1u |
A1u⊕A2u⊕2E1u⊕E2u |
E1u⊕2E2u⊕E3u |
E2u⊕3E3u |
E3g⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
A1u⊕A2u⊕E1u⊕3E2u⊕3E3u |
|
|
E2u |
A1u⊕A2u⊕3E1u⊕2E2u⊕2E3u |
A1u⊕A2u⊕2E1u⊕3E2u⊕2E3u |
|
E3u |
2A1u⊕2A2u⊕3E1u⊕2E2u⊕E3u |
A1u⊕A2u⊕2E1u⊕2E2u⊕3E3u |
E1u⊕3E2u⊕4E3u |
E3g⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
3E1u⊕4E2u⊕E3u |
|
E3u |
2A1u⊕2A2u⊕2E1u⊕E2u⊕3E3u |
A1u⊕A2u⊕3E1u⊕3E2u⊕E3u |
E3g⊙E3u⊙
⊙ |
E3u |
E3u |
3A1u⊕3A2u⊕4E1u⊕E2u |
A1u⊙A1u⊙
⊙ |
A1u |
A2u |
E1u |
E2u |
E3u |
A1u |
A1g |
|
|
|
|
A2u |
A2g |
A1g |
|
|
|
E1u |
E1g |
E1g |
A1g⊕A2g⊕E2g |
|
|
E2u |
E2g |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
E3u |
E3g |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
A1u⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
A2g |
|
|
|
E1u |
E1g |
A1g⊕A2g⊕E2g |
|
|
E2u |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
E3u |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
A1u⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
3E1g⊕E3g |
|
|
E2u |
A1g⊕A2g⊕2E2g⊕E3g |
2E1g⊕E2g⊕E3g |
|
E3u |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕E2g |
A1u⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
E1g⊕3E2g |
|
E3u |
A1g⊕A2g⊕E1g⊕2E3g |
E1g⊕2E2g⊕E3g |
A1u⊙E3u⊙
⊙ |
E3u |
E3u |
E2g⊕3E3g |
A2u⊙A2u⊙
⊙ |
A2u |
E1u |
E2u |
E3u |
A2u |
A1g |
|
|
|
E1u |
E1g |
A1g⊕A2g⊕E2g |
|
|
E2u |
E2g |
E1g⊕E3g |
A1g⊕A2g⊕E3g |
|
E3u |
E3g |
E2g⊕E3g |
E1g⊕E2g |
A1g⊕A2g⊕E1g |
A2u⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
3E1g⊕E3g |
|
|
E2u |
A1g⊕A2g⊕2E2g⊕E3g |
2E1g⊕E2g⊕E3g |
|
E3u |
E1g⊕E2g⊕2E3g |
A1g⊕A2g⊕E1g⊕E2g⊕E3g |
A1g⊕A2g⊕2E1g⊕E2g |
A2u⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
E1g⊕3E2g |
|
E3u |
A1g⊕A2g⊕E1g⊕2E3g |
E1g⊕2E2g⊕E3g |
A2u⊙E3u⊙
⊙ |
E3u |
E3u |
E2g⊕3E3g |
E1u⊙E1u⊙
⊙ |
E1u |
E2u |
E3u |
E1u |
3A1g⊕3A2g⊕4E2g⊕E3g |
|
|
E2u |
4E1g⊕E2g⊕3E3g |
2A1g⊕2A2g⊕E1g⊕3E2g⊕2E3g |
|
E3u |
A1g⊕A2g⊕E1g⊕3E2g⊕3E3g |
A1g⊕A2g⊕3E1g⊕2E2g⊕2E3g |
2A1g⊕2A2g⊕3E1g⊕2E2g⊕E3g |
E1u⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
A1g⊕A2g⊕3E1g⊕E2g⊕3E3g |
|
E3u |
A1g⊕A2g⊕2E1g⊕3E2g⊕2E3g |
A1g⊕A2g⊕2E1g⊕2E2g⊕3E3g |
E1u⊙E3u⊙
⊙ |
E3u |
E3u |
E1g⊕3E2g⊕4E3g |
E2u⊙E2u⊙
⊙ |
E2u |
E3u |
E2u |
3A1g⊕3A2g⊕E1g⊕4E3g |
|
E3u |
3E1g⊕4E2g⊕E3g |
2A1g⊕2A2g⊕2E1g⊕E2g⊕3E3g |
E2u⊙E3u⊙
⊙ |
E3u |
E3u |
A1g⊕A2g⊕3E1g⊕3E2g⊕E3g |
E3u⊙E3u⊙
⊙ |
E3u |
E3u |
3A1g⊕3A2g⊕4E1g⊕E2g |